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Call number: | TA345.M3872::2009 Show nearby items on shelf |
Title: | Essential Mathcad for engineering, science, and math ISE |
Author(s): |
Brent Maxfield |
Date: | 2009 |
Edition: | 2nd ed. |
Publisher: | Burlington, MA : Academic Press |
Size: | 501 p. |
Note: | CD-ROM includes Mathcad v.14 software |
ISBN: | 9780123747839 |
Keywords: | MathCAD. , Engineering mathematics Data processing. |
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Call number: | TA335.R25::2002 Show nearby items on shelf |
Title: | Applied numerical methods for engineers and scientists |
Author(s): |
Singiresu Sambasiva Rao 1944- |
Date: | 2002 |
Publisher: | Prentice Hall, Upper Saddle River, N.J |
Size: | 1 |
ISBN: | 013089480X |
Keywords: | Engineering mathematics Data processing. |
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Call number: | TA331.S95::1989 Show nearby items on shelf |
Title: | Symbolic computation : applications to scientific computing |
Author(s): |
Robert Grossman |
Date: | 1989 |
Publisher: | Society for Industrial and Applied Mathematics, Philadelphia |
Size: | 185 |
ISBN: | 0898712394 |
Series: | Frontiers in applied mathematics : vol. 5 |
Keywords: | Engineering mathematics Data processing |
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Call number: | SPRINGER-2016-9783319285887:ONLINE Show nearby items on shelf |
Title: | Computational Diffusion MRI MICCAI Workshop, Munich, Germany, October 9th, 2015 |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (63 p.) |
Note: | 10.1007/978-3-319-28588-7 |
Contents: | An Efficient Finite Element Solution of the Generalised Bloch-Torrey Equation for Arbitrary Domains: L. Beltrachini et al -- Super-Resolution Reconstruction of Diffusion-Weighted Images using 4D Low-Rank and Total Variation: Feng Shi et al -- Holist ic Image Reconstruction for Diffusion MRI: V. Golkov et al -- Alzheimer’s Disease Classification with Novel Microstructural Metrics from Diffusion-Weighted MRI: T. M. Nir et al -- Brain Tissue Micro-Structure Imaging from Diffusion MRI Using Least Squar es Variable Separation: H. Farooq et al -- Multi-Tensor MAPMRI: How to Estimate Microstructural Information from Crossing Fibers: M. Zucchelli et al -- On the Use of Antipodal Optimal Dimensionality Sampling Scheme on the Sphere for Recovering Intra-Voxel Fibre Structure in Diffusion MRI: A.P. Bates et al -- Estimation of Fiber Orientations Using Neighborhood Information: C. Ye et al -- A framework for creating population specific multimodal brain atlas using clinical T1 and diffusion tensor |
images: V. Gupta et al -- Alignment of Tractograms as Linear Assignment Problem: N. Sharmin -- Accelerating Global Tractography Using Parallel Markov Chain Monte Carlo: H. Wu et al -- Adaptive Enhancement in Diffusion MRI Through Propagator Sharpeni ng: T. Dela Haije et al -- Angular Resolution Enhancement of Diffusion MRI Data Using Inter-Image Information Transfer: Geng Chen et al -- Crossing versus Fanning: Model Comparison Using HCP Data: A. Ghosh et al -- White Matter Fiber Set Simplification by Redundancy Reduction with Minimum Anatomical Information Loss: G. Zimmerman Moreno et al -- A Temperature Phantom to Probe the Ensemble Average Propagator Asymmetry: an In-Silico Study: M. Pizzolato et al -- Registration Strategies for Whole-Body Diffusi on-Weighted MRI Stitching: J. Ceranka et al -- HARDI Feature Selection, Registration and Atlas Building for A$\beta$ Pathology Classification: E. Schwab et al -- Reliability of Structural Connectivity Examined with Four Different Diffusion | |
Reconstruction Methods at Two Different Spatial and Angular Resolutions: J. E. Villalon-Reina et al | |
ISBN: | 9783319285887 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer simulation , Image processing , Bioinformatics , Computer mathematics , Visualization , Statistics , Mathematics , Visualization , Computational Biology/Bioinformatics , Computational Science and Engineering , Simulation and Modeling , Image Processing and Computer Vision , Statistics for Life Sciences, Medicine, Health Sciences |
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Call number: | SPRINGER-2016-9780387878119:ONLINE Show nearby items on shelf |
Title: | Generalized Principal Component Analysis |
Author(s): |
René Vidal |
Date: | 2016 |
Size: | 1 online resource (83 p.) |
Note: | 10.1007/978-0-387-87811-9 |
Contents: | Preface -- Acknowledgments -- Glossary of Notation.- Introduction.- I Modeling Data with Single Subspace -- Principal Component Analysis -- Robust Principal Component Analysis -- Nonlinear and Nonparametric Extensions -- II Modeling Data with Multi ple Subspaces -- Algebraic-Geometric Methods -- Statistical Methods -- Spectral Methods -- Sparse and Low-Rank Methods -- III Applications -- Image Representation -- Image Segmentation -- Motion Segmentation -- Hybrid System Identification -- Final Words -- Appendices -- References -- Index |
ISBN: | 9780387878119 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 40 |
Keywords: | Mathematics , Image processing , Algebraic geometry , System theory , Statistics , Mathematics , Systems Theory, Control , Image Processing and Computer Vision , Signal, Image and Speech Processing , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Algebraic Geometry |
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Call number: | SPRINGER-2014-9783642543012:ONLINE Show nearby items on shelf |
Title: | Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data [electronic resource] |
Author(s): |
Carl-Fredrik Westin Anna Vilanova Bernhard Burgeth |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emergingfield. Topics covered rang e from applications of the analysis of tensor fields to research on their mathematical and analytical properties. Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensorfields in engineering, discusses the current sta te of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs. The second Part, Representation and Processing of Higher-orderDescriptors, describes a matrix representation of local phase, outlines ma thematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI. Part III,Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to mode l and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging(DKI). A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a nove l perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, exploresthe free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research. The last P art, Applications of Tensor Processing, discusses metric and curvature tensors, two of themost studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion M RI data. The last chapter presents an interactive system integratingthe visual analysis of diffusion MRI tractography with data from electroencephalography |
Contents: | Part I: Tensor Data Visualization: Top Challenges in the Visualization of Engineering Tensor Fields: M Hlawitschka et al |
Tensor Invariants and Glyph Design: A. Kratz et al | |
Part II: Representation and Processing of Higher | |
order Descriptors: Monomial Phase: A Matrix Representation of Local Phase: H. Knutsson et al | |
Order Based Morphology for Colour Images via Matrix Fields: B. Burgeth et al | |
Sharpening Fibers in Diffusion Weighted MRI via Erosion: T.C.J. Dela Haije et al | |
Part III: Higher Order Tensors and Riemannian | |
Finsler Geometry: Higher | |
Order Tensors in Diffusion Imaging: Th | |
ISBN: | 9783642543012 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Visualization, 1612-3786 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer vision , Computer graphics , Differential equations, partial , Visualization , Global differential geometry |
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Call number: | SPRINGER-2014-9783319048796:ONLINE Show nearby items on shelf |
Title: | Networks of Echoes [electronic resource] : Imitation, Innovation and Invisible Leaders |
Author(s): |
Bruce J West Malgorzata Turalska Paolo Grigolini |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Networks of Echoes: Imitation, Innovation and Invisible Leaders is a mathematically rigorous and data rich book on a fascinating area of the science and engineering of social webs. There are hundreds of complex networkphenomena whose statistical prop erties are described by inverse power laws. The phenomena of interest are not arcane events that we encounter only fleetingly, but are events that dominate our lives. We examine how this intermittentstatistical behavior intertwines itself with what appear s to be the organized activity of social groups. The book is structured as answers to a sequence of questions such as: How are decisions reached in elections and boardrooms?How is the stability of a society undermined by zealots and committed minorities, and how is that stability re-established? Can we learn to answer such questions about human behavior by studying the way flocks of birds retain theirformation when eluding a predator? These questions and others are answered using a generic model of a comp lex dynamic networkone whose global behavior is determined by a symmetric interaction among individuals based on socialimitation.The complexity of the network is manifest in time series resulting from self-organized critical dynamics that have divergent f irst and second moments, are non-stationary, non-ergodic, and non-Poisson. How phasetransitions in the network dynamics influence such activity as decision making is a fascinating story and provides a context for introducing many of the mathematical ideas necessary for understanding complex networks in general. Thedecision making model (DMM) is selected to emphasize that there are features of complex webs that supersede specific mechanisms and need to be understood from a general perspective. This insight ful overview of recent tools and theiruses may serve as an introduction and curriculum guide in related courses |
Contents: | Networking Perspective |
Complexity Primer | |
A Model of Decision Making | |
Criticality and Crowds | |
Networks of Influence | |
Critical Networks | |
ISBN: | 9783319048796 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Computational Social Sciences |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Social sciences Data processing , Mathematics , Social sciences Methodology |
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Call number: | SPRINGER-2014-9783319024479:ONLINE Show nearby items on shelf |
Title: | Pedestrian and Evacuation Dynamics 2012 [electronic resource] |
Author(s): |
Ulrich Weidmann Uwe Kirsch Michael Schreckenberg |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The 6th International Conference on Pedestrian and Evacuation Dynamics conference (PED2012) showcased research on human locomotion. This book presents the proceedings of PED2012. Humans have walked for eons our drive to settlethe globe began with a w alk out of Africa. However, much remains to discover. As the world moves toward sustainability while racing to assess and accommodate climate change, research must provide insight on the physical requirements ofwalking, the dynamics of pedestrians on the move and more. We must understand, predict and simulate pedestrian behaviour, to avoid dangerous situations, to plan for emergencies, and not least, to make walking more attractive andenjoyable. PED2012 offered 70 presentations and keynotes and 70 poster presentations covering new and improved mathematical models, describing new insights on pedestrian behaviour in normal and emergency cases and presenting researchbased on sensors and advanced observation methods. These papers offer a starting point for in novative new research, building a strong foundation for the next conference and for future research |
Contents: | Preface |
Keynotes | |
Experiment and Evacuation | |
Simulation and Modeling | |
Psychology | |
Miscellaneous | |
ISBN: | 9783319024479 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Computer simulation , Computer science , Engineering mathematics , Civil engineering , Operations research |
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Call number: | SPRINGER-2014-9783319020907:ONLINE Show nearby items on shelf |
Title: | Reduced Order Methods for Modeling and Computational Reduction [electronic resource] |
Author(s): |
Alfio Quarteroni Gianluigi Rozza |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasison real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications inengineering data assimilation, geometry registr ation, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics real-time visualization of physics-based simulations incomputer science the treatment of high-dimensional problems in state s pace, physical space, or parameter space the interactions between different model reduction and dimensionality reduction approaches the development of generalerror estimation frameworks which take into account both model and discretization effects. This b ook is primarily addressed to computational scientists interested in computational reduction techniques for large scale differentialproblems |
Contents: | 1 W. H. A. Schilders, A. Lutowska: A novel approach to model order reduction for coupled multiphysics problems |
2 A. C. Ionita, A. C. Antoulas: Case study. Parametrized Reduction using Reduced | |
Basis and the Loewner Framework | |
3 M. Bebendorf, Y. Maday, B. Stamm: Comparison of some reduced representation approximations | |
4 H. Antil, M. Heinkenschloss, D. C. Sorensen: Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric System | |
5 K. Urban, S. Volkwein, O. Zeeb: Greedy Sampling using Nonlinear Optimization | |
6 P. Benner, L. Feng: | |
ISBN: | 9783319020907 |
Series: | eBooks |
Series: | SpringerLink |
Series: | MS&A - Modeling, Simulation and Applications, 2037-5255 : v9 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Computer science Mathematics , Engineering mathematics , Materials |
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Call number: | SPRINGER-2013-9781461448914:ONLINE Show nearby items on shelf |
Title: | Telescopes and Techniques [electronic resource] |
Author(s): |
C. R Kitchin |
Date: | 2013 |
Edition: | 3rd ed. 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Telescopes and Techniques has proved itself in its first two editions, having become probably one of the most widely used astronomy texts, both for amateur astronomers and astronomy and astrophysics undergraduates. Both earliereditions of the book we re widely used for introductory practical astronomy courses in many universities. In this Third Edition the author guides the reader through the mathematics, physics and practical techniques needed to use today'stelescopes (from the smaller models to the larger instruments installed in many colleges) and how to find objects in the sky. Most of the physics and engineering involved is described fully and requires little prior knowledge orexperience. Both visual and electronic imaging techniques are covered, together with an introduction to how data (measurements) should be processed and analyzed. A simple introduction to radio telescopes is also included. Briefcoverage of the more advanced topics of photometry and spectroscopy are included, but mainly to en able the reader to see some of the developments possible from the basic observing techniques covered in the rest of the book. For anyoneintending to enter astronomy as a professional, an understanding of the physics is essential - and this newest version of Telescopes and Techniques is one of the best starting points! |
Note: | Springer eBooks |
Contents: | Preface to the First Edition |
Preface to the Second Edition | |
Preface to the Third Edition | |
Part I: Telescopes | |
Chapter 1: Types of Telescopes | |
Chapter 2: Telescope Optics | |
Chapter 3: Modern Small Telescope Design | |
Part II: Positions and Motions | |
Chapter 4: Positions in the Sky | |
Chapter 5: Movements of Objects in the Sky | |
Chapter 6: Telescope Mountings | |
Part III: Observing | |
Chapter 7: Electromagnetic Radiation | |
Chapter 8: Visual Observing | |
Chapter 9: Detectors and Imaging | |
Chapter 10: Data Processing | |
Chapter 11: Photometry | |
Chapter 12: Spectroscopy | |
Appendix | |
ISBN: | 9781461448914 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2013-9780817683795:ONLINE Show nearby items on shelf |
Title: | Excursions in Harmonic Analysis, Volume 2 [electronic resource] : The February Fourier Talks at the Norbert Wiener Center |
Author(s): |
Travis D Andrews Radu Balan John J Benedetto Wojciech Czaja Kasso A Okoudjou |
Date: | 2013 |
Publisher: | Boston : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consistsof contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span alarge spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I Sampling Theory Remote Sensing Mathematics of Data Processing Applications of Data Processing Volume II Measure Theory Filtering Operator Theory Biomathematics Each part provides sta te-of-the-artresults, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is anexcellent r eference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics |
Note: | Springer eBooks |
Contents: | Part V Measure Theory |
Absolute Continuity and Singularity of Measures Without Measure Theory | |
Visible and Invisible Cantor Sets | |
Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density | |
Positive Operator | |
Valued Measures: A General Setting for Frames | |
Part VI Filtering | |
Extending Wavelet Filters, Infinite Dimensions, the Non | |
Rational Case, and Indefinite | |
Inner Product Spaces | |
On the Group | |
Theoretic Structure of Lifted Filter Banks | |
Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces | |
On the Convergence of It | |
ISBN: | 9780817683795 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Engineering mathematics |
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Call number: | SPRINGER-2013-9780817683764:ONLINE Show nearby items on shelf |
Title: | Excursions in Harmonic Analysis, Volume 1 [electronic resource] : The February Fourier Talks at the Norbert Wiener Center |
Author(s): |
Travis D Andrews Radu Balan John J Benedetto Wojciech Czaja Kasso A Okoudjou |
Date: | 2013 |
Publisher: | Boston : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consistsof contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span alarge spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I Sampling Theory Remote Sensing Mathematics of Data Processing Applications of Data Processing Volume II Measure Theory Filtering Operator Theory Biomathematics Each part provides sta te-of-the-artresults, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is anexcellent r eference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics |
Note: | Springer eBooks |
Contents: | Part 1 Sampling Theory |
Unions of Subspaces for Data Modeling and Subspace Clustering | |
Fusion frames and Unbiased Basic Sequences | |
Sampling in Spaces of Bandlimited Functions on Commutative Spaces | |
Smooth Interpolation of Data by Efficient Algorithms | |
An Overview of Time and Multiband Limiting | |
A Panorama of Sampling Theory | |
Part II Remote Sensing | |
Multistatic Radar Waveforms for Imaging of Moving Targets | |
Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer | |
An Introduction to Hyperspectral Image Data Modeling | |
Hyperspectr | |
ISBN: | 9780817683764 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Engineering mathematics |
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Call number: | SPRINGER-2013-9780817649487:ONLINE Show nearby items on shelf |
Title: | A Mathematical Introduction to Compressive Sensing [electronic resource] |
Author(s): |
Simon Foucart Holger Rauhut |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensingfinds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed thetheoretical results that highlighted the efficien cy of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians. A Mathematical Introduction to Compressive Sensing gives adetailed account of the core theory upon which the field is build. Key features include: The first textbook completely devoted to the topic of compressive sensing Comprehensive treatment of thesubject, including background material from probability theory, detailed proofs of the main theorems, and an outline of possible a pplications Numerous exercises designed to help students understand the material An extensive bibliography with over 500 references that guide researchers through the literature With only moderate prerequisites, A Mathematical Introduction to Compressive Sensing is an excellent textbook forgraduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subjec t |
Note: | Springer eBooks |
Contents: | 1 An Invitation to Compressive Sensing |
2 Sparse Solutions of Underdetermined Systems | |
3 Basic Algorithms | |
4 Basis Pursuit | |
5 Coherence | |
6 Restricted Isometry Property | |
7 Basic Tools from Probability Theory | |
8 Advanced Tools from Probability Theory | |
9 Sparse Recovery with Random Matrices | |
10 Gelfand Widths of l1 | |
Balls | |
11 Instance Optimality and Quotient Property | |
12 Random Sampling in Bounded Orthonormal Systems | |
13 Lossless Expanders in Compressive Sensing | |
14 Recovery of Random Signals using Deterministic Matrices | |
15 Algorithms for l1 | |
Minimization | |
Appendix A | |
ISBN: | 9780817649487 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis, 2296-5009 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Functional analysis , Telecommunication |
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Call number: | SPRINGER-2012-9789400713666:ONLINE Show nearby items on shelf |
Title: | Numerical Methods with Worked Examples: Matlab Edition [electronic resource] |
Author(s): |
C Woodford C Phillips |
Date: | 2012 |
Edition: | Second Edition |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is for students following an introductory course in numerical methods, numerical techniques or numerical analysis. It introduces MATLAB as a computing environment for experimenting with numerical methods. It approachesthe subject from a pra gmatic viewpoint theory is kept at a minimum commensurate with comprehensive coverage of the subject and it contains abundant worked examples which provide easy understanding through a clear and concisetheoretical treatment. This edition places even great er emphasis on learning by doing than the previous edition. Fully documented MATLAB code for the numerical methods described in the book will be available as supplementarymaterial to to the book on http://extras.springer.com |
Note: | Springer eBooks |
Contents: | 1. Basic Matlab |
2. Linear Equations | |
3.Nonlinear Equations | |
4.Curve Fitting | |
5.Numerical Integration | |
6.Numerical Differentiation | |
7. Linear Programming | |
8.Optimization | |
9.Ordinary Differential Equations | |
10.Eigenvalues and Eigenvectors | |
11. Statistics | |
ISBN: | 9789400713666 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Chemistry , Biology Data processing , Engineering mathematics |
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Call number: | SPRINGER-2012-9788132206286:ONLINE Show nearby items on shelf |
Title: | Statistical Signal Processing [electronic resource] : Frequency Estimation |
Author(s): |
Debasis Kundu Swagata Nandi |
Date: | 2012 |
Publisher: | India : Springer India : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Signal processing may broadly be considered to involve the recovery of information from physical observations. The received signal is usually disturbed by thermal, electrical, atmospheric or intentional interferences. Due to therandom nature of the s ignal, statistical techniques play an important role in analyzing the signal. Statistics is also used in the formulation of the appropriate models to describe the behavior of the system, the development ofappropriate techniques for estimation of model par ameters and the assessment of the model performances. Statistical signal processing basically refers to the analysis of random signals using appropriate statistical techniques. The mainaim of this book is to introduce different signal processing models wh ich have been used in analyzing periodic data, and different statistical and computational issues involved in solving them. We discuss in detail the sinusoidalfrequency model which has been used extensively in analyzing periodic data occuring in various f ields. We have tried to introduce different associated models and higher dimensional statistical signal processing models which have beenfurther discussed in the literature. Different real data sets have been analyzed to illustrate how different models ca n be used in practice. Several open problems have been indicated for future research |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 Notations and Preliminaries | |
3 Estimation of Frequencies | |
4 Asymptotic Properties | |
5 Estimating the Number of Components | |
6 Real Data Example | |
7 Multidimensional Models | |
8 Related Models | |
References | |
Index | |
ISBN: | 9788132206286 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Statistics, 2191-544X |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Algorithms , Mathematical statistics , Engineering mathematics |
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Call number: | SPRINGER-2012-9783642300233:ONLINE Show nearby items on shelf |
Title: | Recent Advances in Algorithmic Differentiation [electronic resource] |
Author(s): |
Shaun Forth Paul Hovland Eric Phipps Jean Utke Andrea Walther |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The proceedings represent the state of knowledge in the area of algorithmic differentiation (AD). The 31 contributed papers presented at the AD2012 conference cover the application of AD to many areas in science and engineeringas well as aspects of A D theory and its implementation in tools. For all papers the referees, selected from the program committee and the greater community, as well as the editors have emphasized accessibility of the presented ideasalso to non-AD experts. In the AD tools arena new implementations are introduced covering, for example, Java and graphical modeling environments or join the set of existing tools for Fortran. New developments in AD algorithms targetthe efficiency of matrix-operation derivatives, detection and exploit ation of sparsity, partial separability, the treatment of nonsmooth functions, and other high-level mathematical aspects of the numerical computations to bedifferentiated. Applications stem from the Earth sciences, nuclear engineering, fluid dynamics, and chemistry, to name just a few. In many cases the applications in a given area of science or engineering share characteristics thatrequire specific approaches to enable AD capabilities or provide an opportunity for efficiency gains in the derivative compu tation. The description of these characteristics and of the techniques for successfully using AD should makethe proceedings a valuable source of information for users of AD tools |
Note: | Springer eBooks |
ISBN: | 9783642300233 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Computational Science and Engineering, 1439-7358 : v87 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Electronic data processing , Computer science Mathematics , Computer software , Mathematical optimization |
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Call number: | SPRINGER-2012-9783642295843:ONLINE Show nearby items on shelf |
Title: | Intuitionistic Fuzzy Information Aggregation [electronic resource] : Theory and Applications |
Author(s): |
Zeshui Xu Xiaoqiang Cai |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Intuitionistic Fuzzy Information Aggregation: Theory and Applications is the first book to provide a thorough and systematic introduction to intuitionistic fuzzy aggregation methods, the correlation, distance and similaritymeasures of intuitionistic fuzzy sets and various decision-making models and approaches based on the above-mentioned information processing tools. Through numerous practical examples and illustrations with tables and figures, it offersresearchers and professionals in the fields of fuzzy mathematics, information fusion and decision analysis the most recent research findings, developed by the authors. Zeshui Xu is a Professor at the PLA University of Science andTechnology, China. Xiaoqiang Cai is a Professor at the Chinese Universit y of Hong Kong, China |
Note: | Springer eBooks |
Contents: | Intuitionistic Fuzzy Information Aggregation |
Interval | |
Valued Intuitionistic Fuzzy Information Aggregation | |
The Correlation, Distance and Similarity Measures of Intuitionistic Fuzzy Sets | |
Intuitionistic Fuzzy Clustering Algorithms | |
The Decision | |
Making Models and Approaches Based on Intuitionistic Preference Relations | |
Projection Models | |
Based Approaches to Intuitionistic Fuzzy Multi | |
Attribute Decision | |
Making | |
Dynamic Intuitionistic Fuzzy Multi | |
Attribute Decision | |
Making | |
Nonlinear Optimization Models for Multiple Attribute Group Decision Making with Intuitionistic Fuzzy Information | |
ISBN: | 9783642295843 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Computer science Mathematics , Engineering mathematics |
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Call number: | SPRINGER-2012-9783642285127:ONLINE Show nearby items on shelf |
Title: | Evolution Inclusions and Variation Inequalities for Earth Data Processing III [electronic resource] : Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis |
Author(s): |
Mikhail Z Zgurovsky Pavlo O Kasyanov Oleksiy V Kapustyan Jos Valero Nina V Zadoianchuk |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9783642285127 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Advances in Mechanics and Mathematics, 1571-8689 : v27 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Chemistry, Physical organic , Physical geography , Engineering , Hydraulic engineering |
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Call number: | SPRINGER-2012-9783642249747:ONLINE Show nearby items on shelf |
Title: | Optimization for Industrial Problems [electronic resource] |
Author(s): |
Patrick Bangert |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Industrial optimization lies on the crossroads between mathematics, computer science, engineering and management. This book presents these fields as a conversation between the theory of mathematics and computer science and casestudies demonstrating e ngineering and management. Most of all, the case studies illustrate what may reasonably be expected from an optimization project in a commercial enterprise. While many other books treat some of the aspects ofthis book, it is practical and may be used as a manual for conducting an optimization project. This book will not make its reader into a mathematician but it will help him to improve his plant. The book requires no mathematical ortechnical background beyond a good high school training all else is addr essed within. It is aimed at managers or engineers of industrial facilities and is also suitable for university students and their professors as an illustrationof how academic material may be used in real life. The book includes 19 case studies that were conducted in real plants. They include chemical plants, fossil power plants, wind power plants, nuclear power plants, oil refineries, oilproduction plants, injection molding fascilities and retail industry shops. All case studies were conducted by the aut hor in cooperation and co-authorship with some of the leading industrial enterprises including RWE, Vattenfall, EDF,PetroChina, Vestolit, Sasol, and Hella |
Note: | Springer eBooks |
Contents: | Overview of Heuristic Optimization |
Statistical Analysis in Solution Space | |
Project Management | |
Pre | |
processing: Cleaning up Data | |
Data Mining: Knowledge from Data | |
Modeling: Neural Networks | |
Optimization: Simulated Annealing | |
The Human Aspect in Sustainable Change and Innovation | |
ISBN: | 9783642249747 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2012-9783642231759:ONLINE Show nearby items on shelf |
Title: | Topological Methods in Data Analysis and Visualization II [electronic resource] : Theory, Algorithms, and Applications |
Author(s): |
Ronald Peikert Helwig Hauser Hamish Carr Raphael Fuchs |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods,topological ones stand out due to their solid mathematical foundation. Topologically defined structuresas found in scalar, vector and tensor fieldshave proven their merit in a wide range of scientific domains, and scientists havefound them to be revealing in subjects such as ph ysics, engineering, and medicine. Full of state-of-the-art research and contemporary hot topics in the subject, this volume is a selection of peer-reviewed papers originally presentedat the fourth Workshop on Topology-Based Methods in Data Analysis and V isualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop brought together many of the leading lights in the field for a mixture of formalpresentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangiancoherent structures. Contributors also focus on discrete topologies of scalar and vector fields, and on persistence-based simpli fication, among other issues of note. The new research results included in this volume relate to all threekey areas in data analysistheory, algorithms and applications |
Note: | Springer eBooks |
Contents: | Part I: Discrete Morse Theory |
Part II: Hierarchical Methods for Extracting and Visualizing Topological Structures | |
Part III: Visualization of Dynamical Systems, Vector and Tensor Fields | |
Part IV: Topological Visualization of Unsteady Flow | |
ISBN: | 9783642231759 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Visualization, 1612-3786 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Computer graphics , Algorithms , Visualization |
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Call number: | SPRINGER-2012-9783642230998:ONLINE Show nearby items on shelf |
Title: | Automated Solution of Differential Equations by the Finite Element Method [electronic resource] : The FEniCS Book |
Author(s): |
Anders Logg Kent-Andre Mardal Garth Wells |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, softwaredesign and the use of FEni CS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a tutorial for readers who are new to the topic. Following thetutorial, chapters in Part I address fundamenta l aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part IIIpresent the application of FEniCS to a wide range of applications, includ ing fluid flow, solid mechanics, electromagnetics and geophysics |
Note: | Springer eBooks |
ISBN: | 9783642230998 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Computational Science and Engineering, 1439-7358 : v84 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geography , Electronic data processing , Computer science , Computer software , Engineering mathematics |
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Call number: | SPRINGER-2012-9781461441335:ONLINE Show nearby items on shelf |
Title: | Optimization and Data Analysis in Biomedical Informatics [electronic resource] |
Author(s): |
Panos M Pardalos Thomas F Coleman Petros Xanthopoulos |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume covers some of the topics that are related to the rapidly growing field of biomedical informatics. In June 1112, 2010 a workshop entitled Optimization and Data Analysis in Biomedical Informatics was organizedat The Fields Institute. Follo wing this event, invited contributions were gathered based on the talks presented at the workshop, and additional invited chapters weresolicited from leading experts. In this publication, the authorsshare their expertise in the form of state-of-the-art re search and review chapters, bringing together researchers from different disciplines andemphasizing the value of mathematical methods in the areas of clinical sciences. Thiswork is targeted to applied mathematicians, computer scientists, industrial engine ers, and clinical scientists who are interested in exploring emerging and fascinating interdisciplinary topics of research. It is designed to furtherstimulate and enhance fruitful collaborations between scientists from different disciplines |
Note: | Springer eBooks |
Contents: | Preface |
Novel Biclustering Methods for Re | |
Ordering Data Matrices (P.A. DiMaggio Jr., A. Subramani, C.A. Floudas) | |
Clustering Time Series Data with Distance Matrices (O. eref, W.A. Chaovalitwongse) | |
Mathematical Models of Supervised Learning and Application to Medical Diagnosis (R. De Asmundis, M.R. Guarracino) | |
Predictive Model for Early Detection of Mild Cognitive Impairment and Alzheimers Disease (E.K. Lee, T | |
L. Wu, F. Goldstein, A. Levey) | |
Strategies for Bias Reduction in Estimation of Marginal Means with Data Missing at Random (B. Chen, R.J. Cook) | |
Cardiovascular Informa | |
ISBN: | 9781461441335 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fields Institute Communications, 1069-5265 : v63 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biochemical engineering , Medical records Data processing , Data mining , Mathematical optimization |
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Call number: | SPRINGER-2012-9781461424352:ONLINE Show nearby items on shelf |
Title: | Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design [electronic resource] : Contributions from a Workshop held at the School of Mathematics in Erice, Italy |
Author(s): |
Giuseppe Buttazzo Aldo Frediani |
Date: | 2012 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9781461424352 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v66 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Global analysis (Mathematics) , Engineering mathematics , Materials , Engineering design |
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Call number: | SPRINGER-2012-9781461423614:ONLINE Show nearby items on shelf |
Title: | Scheduling [electronic resource] : Theory, Algorithms, and Systems |
Author(s): |
Michael L Pinedo |
Date: | 2012 |
Edition: | 4th ed. 2012 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This new edition of the well established text Scheduling - Theory,Algorithms, and Systems provides an up-to-date coverage ofimportanttheoretical models inthe scheduling literatureas well assignificantscheduling problems that occur in thereal world.It againincludes supplementarymaterial in the form ofslide-shows from industry and movies that showimplementations of scheduling systems. The main structure of the book as per previous edition consists of three parts. The first part focuses on deterministic scheduling and the related combinatorial problems.The second part covers probabilistic schedulingmodels in this part it is assumed that processing times and other problem data are random and not known in advance. The third part deals with scheduling in pr actice it covers heuristics that are popular with practitionersand discusses system design and implementation issues. All three parts of this new edition have beenrevamped and streamlined. The references have been made completely up-to-date. Theoreticians and practitionersalike will find this book of interest.Graduate students in operations management, operations research, industrial engineering, and computerscience will find the book an accessible and invaluable resource. Scheduling -Theory, Algorithms, and Systems willserve as an essential reference for professionals working on scheduling problemsin manufacturing, services, and other environments. Michael L. Pinedo is the Julius SchlesingerProfessor of Operations Management in the Stern School of Busine ss at New York University. Reviews of third edition: This well-established text covers both the theory and practice of scheduling. he book begins with motivatingexamples and the penultimate chapter Reviews of third edition: This well-established text cove rs both the theory and practice of scheduling. The boo |
Note: | Springer eBooks |
Contents: | Preface |
Supplementary Electronic Material | |
Introduction | |
Deterministic Models: Preliminaries | |
Single Machine Models (Deterministic) | |
Advanced Single Machine Models (Deterministic) | |
Parallel Machine Models (Deterministic) | |
Flow Shops and Flexible Flow Shops (Deterministic) | |
Job Shops (Deterministic | |
Open Shops (Deterministic) | |
Stochastic Models: Preliminaries | |
Single Machine Models (Stochastic) | |
Single Machine Models with Release Dates (Stochastic) | |
Parallel Machine Models (Stochastic) | |
Flow Shops, Job Shops and Open Shops (Stochastic) | |
General Purpose Procedures | |
ISBN: | 9781461423614 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Systems theory , Distribution (Probability theory) , Industrial engineering |
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Call number: | SPRINGER-2012-9781461421078:ONLINE Show nearby items on shelf |
Title: | Data Mining for Biomarker Discovery [electronic resource] |
Author(s): |
Panos M Pardalos Petros Xanthopoulos Michalis Zervakis |
Date: | 2012 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Data Mining for Biomarker Discovery is designed to motivate collaboration and discussion among various disciplines and will be of interest to students and researchers in engineering, computer science, applied mathematics,medicine, and anyone interest ed in the interdisciplinary application of data mining techniques. Biomarker discovery is an important area of biomedical research that can lead to significant breakthroughs in disease analysis and targetedtherapy. Moreover, the discovery and management o f new biomarkers is a challenging and attractive problem in the emerging field of biomedical informatics. This volume is acollection of state-of-the-artresearch from selectparticipants of the International Conference on Biomedical Data and Knowledge Minin g: Towards Biomarker Discovery, held July 7-9, 2010 in Chania, Greece. Contributions focus on biomarker data integration, information retrievalmethods, and statistical machine learning techniques, all presented with new results, models, and algorithms |
Note: | Springer eBooks |
Contents: | Preface |
1. Data Mining Strategies Applied in Brain Injury Models (S. Mondello, F. Kobeissy, I. Fingers, Z. Zhang, R.L. Hayes, K.K.W. Wang) | |
Application of Decomposition Methods in the Filtering of Event Related Potentials (K. Michalopoulos, V. Iordanidou, M. Zervakis) | |
3. EEG Features as Biomarkers for Discrimination of Pre | |
ictal states (A. Tsimpiris, D. Kugiumtzis) | |
4. Using Relative Power Asymmetry as a Biomarker for Classifying Psychogenic Non | |
epileptic Seizure and Complex Partial Seizure Patients (J.H. Chien, D | |
S. Shiau, J.C. Sackellares, J.J. Halford, K.M. Kelly, P.M. Pardalos) | |
ISBN: | 9781461421078 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v65 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biochemical engineering , Medical records Data processing , Data mining |
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Call number: | SPRINGER-2012-9780817683160:ONLINE Show nearby items on shelf |
Title: | Shearlets [electronic resource] : Multiscale Analysis for Multivariate Data |
Author(s): |
Gitta Kutyniok Demetrio Labate |
Date: | 2012 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing efficient means for encoding isotropic phenomena. Directional multiscale systems, particularly shearlets,are currently having th e same dramatic impact on the encoding of multivariate signals, which are usually dominated by anisotropic features. Since its introduction about six years ago, the theory of shearlets has rapidly developed andgained wide recognition as the superior appro ach for multiscale analysis of multivariate signals, providing a truly unified treatment of both the continuum and the digital setting. By now, this research field has reached full maturity,with deep mathematical results, efficient numerical methods, and a variety of high-impact applications. Edited by the topic's two main pioneers, this volume systematically surveys the theory and applications of shearlets. Following ageneral survey of the subject, carefully selected contributions explore the current sta te of the field in greater detail. Specific areas covered include: * analysis of anisotropic features * sparse approximations of multivariatedata * shearlet smoothness spaces * numerical implementations * applications toimage processing. Shearlets is aime d at graduate students and researchers in the areas of applied mathematics, computer science, engineering, andany other field dealing with the development and applications of highly efficient methodologies for processing multivariate data. As the first mo nograph in the literature to survey shearlets, this volume offers both a uniquestate-of-the-art resource for scientists dealing with advanced multiscale methods and a supplemental textbook for graduate courses in applied harmonic analysis |
Note: | Springer eBooks |
Contents: | Introduction |
Shearlets and Microlocal Analysis | |
Analysis and Identification of Multidimensional Singularities using the Continuous Shearlet Transform | |
Multivariate Shearlet Transform, Shearlet Coorbit Spaces and their Structural Properties | |
Shearlets and Optimally Sparse Approximations | |
Shearlet Multiresolution and Multiple Refinement | |
Digital Shearlet Transforms | |
Imaging Applications. | |
ISBN: | 9780817683160 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Fourier analysis , Numerical analysis |
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Call number: | SPRINGER-2012-9780387886190:ONLINE Show nearby items on shelf |
Title: | Sensors: Theory, Algorithms, and Applications [electronic resource] |
Author(s): |
Vladimir L Boginski Clayton W Commander Panos M Pardalos Yinyu Ye |
Date: | 2012 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In recent years, technological advances have resulted in the rapid development of a new and exciting research direction the interdisciplinary use of sensors for data collection, systems analysis, and monitoring. These highlycalibrated sensors requir e precision engineering techniques that play an important role in analyzing and integrating large datasets. Sensor networks in particular represent a very active area of research, including work on problemssuch as sensor network localization andnetwork de sign. Application areas for sensors and sensor networks include environmental monitoring, military surveillance, computational neuroscience, seismic detection, and a great deal more. The fundamental problems of utilizing the collected data for efficient s ystem operation and decision making encompasses multiple research areas, including applied mathematics, optimization, signal/image processing, as well asemerging areas that require interdisciplinary techniques from several fields of research. Sensors: Th eory, Algorithms, and Applications brings together recent developments from researchers representing various fields fromengineering, mathematics, and computer science, along with application areas of biomedicine, transportation, and military systems. This volume is ideal for scientists, practitioners, and graduate students who are interested in theknowledge, ideas, and techniques involved in state-of-the-art sensor research |
Note: | Springer eBooks |
Contents: | Preface |
On Enhancing Fault Tolerance of Virtual Backbone in a Wireless Sensor Network with Unidirectional Links (R. Tiwari, M.T. Thai) | |
Constrained Node Placement and Assignment in Mobile Backbone Networks (E.M. Craparo) | |
Canonical Dual Solutions to Sum of Fourth | |
Order Polynomials Minimization Problems with Applications to Sensor Network Localization (D.Y. Gao, N. Ruan, P.M. Pardalos) | |
Optimal Estimation of Multidimensional Data with Limited Measurements (W. MacKunis, J. W. Curtis, P.E.K. Berg | |
Yuen) | |
Informational Patterns in Discrete | |
Time Linear | |
Quadratic Dynamic Games (M. Pachter, | |
ISBN: | 9780387886190 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v61 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algorithms , Mathematical optimization , Electronics , Telecommunication , Systems engineering |
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Call number: | SPRINGER-2011-9783642194955:ONLINE Show nearby items on shelf |
Title: | Fundamentals of Scientific Computing [electronic resource] |
Author(s): |
Bertil Gustafsson |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to todays weather data? And how is it possible to predict theaerodynamic behavior of an a ircraft that has yet to be built? The answer is computer simulations based on mathematical models sets of equations that describe the underlying physical properties. However, these equations areusually much too complicated to solve, either by the smarte st mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into aprogram that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds tointroduce the most important classes of numerical methods, with finite element, finite difference and sp ectral methods as central tools. The concluding section describes applications in physics and engineering, including wavepropagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB |
Note: | Springer eBooks |
Contents: | Part I Models and elementary mathematics |
Part II Fundamentals in numerical analysis | |
Part III Numerical methods for differential equations | |
Part IV Numerical methods for algebraic equations | |
Part V Applications | |
References | |
Index | |
ISBN: | 9783642194955 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v8 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Biology Data processing , Computer science Mathematics , Computer science , Engineering mathematics |
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Call number: | SPRINGER-2011-9783642138782:ONLINE Show nearby items on shelf |
Title: | Evolution Inclusions and Variation Inequalities for Earth Data Processing II [electronic resource] : Differential-Operator Inclusions and Evolution Variation Inequalities for Earth Data Processing |
Author(s): |
Mikhail Z Zgurovsky Valery S Mel'nik Pavlo O Kasyanov |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9783642138782 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Advances in Mechanics and Mathematics, 1571-8689 : v25 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geography , Hydraulic engineering |
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Call number: | SPRINGER-2011-9783642138379:ONLINE Show nearby items on shelf |
Title: | Evolution Inclusions and Variation Inequalities for Earth Data Processing I [electronic resource] : Operator Inclusions and Variation Inequalities for Earth Data Processing |
Author(s): |
Mikhail Z Zgurovsky Valery S Mel'nik Pavlo O Kasyanov |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9783642138379 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Advances in Mechanics and Mathematics, 1571-8689 : v24 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geography , Hydraulic engineering |
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Call number: | SPRINGER-2011-9783642137426:ONLINE Show nearby items on shelf |
Title: | Optimization and Regularization for Computational Inverse Problems and Applications [electronic resource] |
Author(s): |
Yanfei Wang Changchun Yang Anatoly G Yagola |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Optimization and Regularization for Computational Inverse Problems and Applications focuses on advances in inversion theory and recent developments with practical applications, particularly emphasizing the combination ofoptimization and regularizatio n for solving inverse problems. This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolatedregularization, nonstandard regularization, nonlinear grad ient method, the nonmonotone gradient method, subspace method and Lie group method and the practical applications, such as the reconstruction problem for inverse scattering,molecular spectra data processing, quantitative remote sensing inversion, seismic inversion using the Lie group method, and the gravitational lensing problem. Scientists, researchers and engineers, as well as graduate students engagedin applied mathematics, engineering, geophysics, medical science, image processing, remote sensing and atmospheric science will benefit from this book. Dr. Yanfei Wang is a Professor at the Institute of Geology and Geophysics, ChineseAcademy of Sciences, China. Dr. Sc. Anatoly G. Yagola is a Professor and Assistant Dean of the Physical Faculty, Lomonosov M oscow State University, Russia. Dr. Changchun Yang is a Professor and Vice Director of the Institute of Geologyand Geophysics, Chinese Academy of Sciences, China |
Note: | Springer eBooks |
Contents: | Introduction |
Regularization Theory and Recent Developments | |
Nonstandard Regularization and Advanced Optimization Theory and Methods | |
Numerical Inversion in Geoscience and Quantitative Remote Sensing | |
ISBN: | 9783642137426 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Remote sensing , Computer science Mathematics , Engineering mathematics |
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Call number: | SPRINGER-2011-9780817680954:ONLINE Show nearby items on shelf |
Title: | Wavelets and Multiscale Analysis [electronic resource] : Theory and Applications |
Author(s): |
Jonathan Cohen Ahmed I Zayed |
Date: | 2011 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Since its emergence as an important research area in the early 1980s, the topic of wavelets has undergone tremendous development on both theoretical and applied fronts. Myriad research and survey papers and monographs have beenpublished on the subjec t, documenting different areas of applications such as sound and image processing, denoising, data compression, tomography, and medical imaging. The study of wavelets remains a very active field of research, andmany of its central techniques and ideas hav e evolved into new and promising research areas. This volume, a collection of invited contributions developed from talks at an international conference on wavelets, features expository andresearch articles covering current and emerging areas in the theory and applications of wavelets. The book is divided into three parts: Part I is devoted to the mathematical theory of wavelets and features several papers on waveletsets and the construction of wavelet bases in different settings. Part II looks at the use of multiscale harmonic analysis for understanding the geometry of large data sets and extracting information from them. Part III focuses onapplications of wavelet theory to the study of several real-world problems. Specific topics covered include: wavelet s on locally compact groups and Riemannian manifolds crystallographic composite dilation wavelets, quincunx andvector-valued wavelets multiscale analysis of large data sets geometric wavelets wavelets applications in cosmology, atmospheric data analysis a nd denoising speech signals. Wavelets and Multiscale Analysis: Theory and Applicationsis an excellent reference for graduate students, researchers, and practitioners in theoretical and applied mathematics, or in engineering |
Note: | Springer eBooks |
Contents: | Preface |
Contributors | |
1 An Introduction to Wavelets and Multi | |
scale Analysis: Theory and Applications | |
2 The Construction of Wavelet Sets | |
3 The Measure of the Closure of a Wavelet Set May Be >2pi | |
Quincunx Wavelets on T^2 | |
Crystallographic Haar | |
type Composite Dilation Wavelets | |
6 From Full Rank Subdivision Schemes to Multichannel Wavelets: A Constructive Approach | |
7 Unitary Systems and Bessel Generator Multipliers | |
8 The Zak Transform(s) | |
9 Harmonic Analysis of Digital Databases | |
10 Some Recent Advances in Multiscale Geometric Analysis of Point Clouds | |
11 Signal Ensem | |
ISBN: | 9780817680954 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Engineering mathematics |
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Call number: | SPRINGER-2010-9783642112997:ONLINE Show nearby items on shelf |
Title: | Elements of Scientific Computing [electronic resource] |
Author(s): |
Aslak Tveito Hans Petter Langtangen Bjrn Frederik Nielsen Xing Cai |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics,astrophysics, chemistry, bi ology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas thatcarry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming |
Note: | Springer eBooks |
Contents: | Computing Integrals |
Differential Equations: The First Steps | |
Systems of Ordinary Differential Equations | |
Nonlinear Algebraic Equations | |
The Method of Least Squares | |
About Scientific Software | |
The Diffusion Equation | |
Analysis of the Diffusion Equation | |
Parameter Estimation and Inverse Problems | |
A Glimpse ofParallel Computing | |
Index | |
ISBN: | 9783642112997 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v7 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biology Data processing , Computer science Mathematics , Computer science , Engineering |
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Call number: | SPRINGER-2010-9781849962513:ONLINE Show nearby items on shelf |
Title: | Mathematica: A Problem-Centered Approach [electronic resource] |
Author(s): |
Roozbeh Hazrat |
Date: | 2010 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Mathematica: A Problem-Centered Approach introduces the vast array of features and powerful mathematical functions of Mathematica using a multitude of clearly presented examples and worked- out problems. Each section startswith a description of a new topic and some basic examples. The author then demonstrates the use of new commands through three categories of problems - the first category highlights those essential parts of the text that demonstrate theuse of new commands in Mathematica whilst solvi ng each problem presented - the second comprises problems that further demonstrate the use of commands previously introduced to tackle different situations and - the third presents morechallenging problems for further study. The intention is to enable the reader to learn from the codes, thus avoiding long and exhausting explanations. While based on a computer algebra course taught to undergraduate students ofmathematics, science, engineering and finance, the book also includes chapters on calculus and sol ving equations, and graphics, thus covering all the basic topics in Mathematica. With its strong focus upon programming and problemsolving, and an emphasis on using numerical problems that do not need any particular background in mathematics, this book is also ideal for self-study and as an introduction to researchers who wish to use Mathematica as a computationaltool. Mathematica: A Problem-Centered Approach comes with a free 30 day trial of the Wolfram Mathematica(R) software |
Note: | Springer eBooks |
Contents: | 1. Introduction |
1.1 Mathematica as a calculator | |
1.2 Numbers | |
1.3 Algebraic computations | |
1.4 Trigonometric computations | |
1.5 Variables | |
1.6 Equalities =, :=, == | |
1.7 Dynamic variables | |
2. Defining functions | |
2.1 Formulas as functions | |
2.2 Anonymous functions | |
3. Lists | |
3.1 Functions producing lists | |
3.2 Listable functions | |
3.3 Selecting from a list | |
4. Changing heads! | |
5. A bit of logic and set theory | |
5.1 Being logical | |
5.2 Handling sets | |
5.3 Decision making, If and Which | |
6. Sums and products | |
6.1 Sum | |
6.2 Product | |
7. Loops and repetitions | |
7 | |
ISBN: | 9781849962513 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Undergraduate Mathematics Series, 1615-2085 : v53 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Algebra Data processing , Computer software |
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Call number: | SPRINGER-2010-9781441970114:ONLINE Show nearby items on shelf |
Title: | Sparse and Redundant Representations [electronic resource] : From Theory to Applications in Signal and Image Processing |
Author(s): |
Michael Elad |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The field of sparse and redundant representation modeling has gone through a major revolution in the past two decades. This started with a series of algorithms for approximating the sparsest solutions of linear systems ofequations, later to be follow ed by surprising theoretical results that guarantee these algorithms performance. With these contributions in place, major barriers in making this model practical and applicable were removed, andsparsity and redundancy became central, leading to state-of- the-art results in various disciplines. One of the main beneficiaries of this progress is the field of image processing, where this model has been shown to lead tounprecedented performance in various applications. This book provides a comprehensive view o f the topic of sparse and redundant representation modeling, and its use in signal and image processing. It offers a systematic and orderedexposure to the theoretical foundations of this data model, the numerical aspects of the involved algorithms, and th e signal and image processing applications that benefit from these advancements. The book is well-written, presentingclearly the flow of the ideas that brought this field of research to its current achievements. It avoids a succession of theorems and proo fs by providing an informal description of the analysis goals and building this way the path tothe proofs. The applications described help the reader to better understand advanced and up-to-date concepts in signal and image processing. Written as a text-b ook for a graduate course for engineering students, this book can also beused as an easy entry point for readers interested in stepping into this field, and for others already active in this area that are interested in expanding their understanding and kn owledge. The book is accompanied by a Matlab softwarepackage that reproduces most of the results demonstrated in the book. A link to the free software is available on springer.com |
Note: | Springer eBooks |
Contents: | Preface |
Part I. Theoretical and Numerical Foundations | |
1. Introduction | |
2. Uniqueness and Uncertainty | |
3. Pursuit Algorithms | |
Practice | |
4. Pursuit Algorithms | |
Guarantees | |
5. From Exact to Approximate Solution | |
6. Iterated Shrinkage Algorithms | |
7.Towards Average Performance Analysis | |
8. The Danzig Selector Algorithm | |
Part II. Signal and Image Processing Applications | |
9. Sparsity | |
Seeking Methods in Signal Processing | |
10. Image Deblurring | |
A Case Study | |
11. MAP versus MMSE Estimation | |
12. The Quest For a Dictionary | |
13. Image Compression | |
Facial Images | |
14. Im | |
ISBN: | 9781441970114 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer vision , Mathematical optimization |
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Call number: | SPRINGER-2010-9781441955272:ONLINE Show nearby items on shelf |
Title: | Modeling and Simulation in Scilab/Scicos with ScicosLab 4.4 [electronic resource] |
Author(s): |
Stephen L Campbell Jean-Philippe Chancelier Ramine Nikoukhah |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | ScicosLab is a free open-source software package for scientific computation. It includes a Scilab interpreter and hundreds of general purpose and specialized functions for numerical computation, organized in libraries calledtoolboxes, which cover suc h areas as simulation, optimization, systems and control, and signal processing. One important ScicosLab toolbox is Scicos. Scicos provides a block diagram graphical editor for the construction and simulationof dynamical systems. The objective of this boo k is to provide a tutorial for the use of Scilab/Scicos with a special emphasis on modeling and simulation tools. The book is based on the new ScicosLab 4.4. While the book will provideuseful information to experienced users it is designed to be accessibl e to beginning users from a variety of disciplines. Students and academic and industrial scientists and engineers should find it useful. The book is divided into twoparts. The first part concerns Scilab and includes a tutorial covering the language featur es, the data structures and specialized functions for doing graphics, importing, exporting data and interfacing external routines. It also coversin detail the numerical solvers for ordinary differential equations and differential-algebraic equations avail able in ScicosLab. Even though the emphasis is placed on modeling and simulation applications, this part provides a globalview of the Scilab language. The second part is dedicated to modeling and simulation of dynamical systems in Scicos. This type of mod eling tool is widely used in industry because it provides a means for constructing modular andreusable models. This part contains a detailed description of the editor and its usage, which is illustrated through numerous examples. All codes used in the boo k are made available to the reader. This book is an updated and expandedversion of an earlier edition based on Scilab 3.1. Stephen L. Campbell is a professor of mathematics and director of graduate prog |
Note: | Springer eBooks |
Contents: | Part I: General Information |
Introduction to Scilab | |
Modeling and Simulation in Scilab | |
Optimization | |
Examples | |
Part II: Introduction | |
Getting started | |
Scicos formalism | |
Scicos Blocks | |
Examples and Applications | |
Batch processing in Scilab | |
Code generation | |
Debugging | |
Implicit Scicos and Modelica | |
A Inside Scicos | |
B Coding Examples | |
References | |
Index | |
ISBN: | 9781441955272 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Differentiable dynamical systems , Computer science Mathematics , Control engineering systems |
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Call number: | SPRINGER-2010-9781441911056:ONLINE Show nearby items on shelf |
Title: | Hybrid Switching Diffusions [electronic resource] : Properties and Applications |
Author(s): |
G. George Yin Chao Zhu |
Date: | 2010 |
Edition: | First |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents a comprehensive study of hybrid switching diffusion processes and their applications. The motivations for studying such processes originate from emerging and existing applications in wireless communications,signal processing, queue ing networks, production planning, biological systems, ecosystems, financial engineering, and modeling, analysis, and control and optimization of large-scale systems, under the influence of random environment.One of the distinct features of the processes under consideration is the coexistence of continuous dynamics and discrete events. This book is written for applied mathematicians, applied probabilists, systems engineers, controlscientists, operations researchers, and financial analysts. Selected materi als from the book may also be used in a graduate level course on stochastic processes and applications or a course on hybrid systems. A large part of the bookis concerned with the discrete event process depending on the continuous dynamics. In addition to the existence and uniqueness of solutions of switching diffusion equations, regularity, Feller and strong Feller properties, continuousand smooth dependence on initial data, recurrence, ergodicity, invariant measures, and stability are dealt with. Numeri cal methods for solutions of switching diffusions are developed algorithms for approximation to invariant measuresare investigated. Two-time-scale models are also examined. The results presented in the book are useful to researchers and practitioners who need to use stochastic models to deal with hybrid stochastic systems, and to treat real-worldproblems when continuous dynamics and discrete events are intertwined, in which the traditional approach using stochastic differential equations aloneis no longer adequate |
Note: | Springer eBooks |
Contents: | Preface |
Introduction and Motivation | |
Switching Diffusion | |
Recurrence | |
Ergodicity | |
Numerical Approximation | |
Numerical Approximation to Invariant Measures | |
Stability | |
Stability of Switching ODE | |
Invariance Principles | |
Positive Recurrence: Multi | |
ergodic | |
class of Switching Processes | |
Stochastic Volatility Using Regime | |
switching Diffusions | |
Two | |
time | |
scale Switching Jump | |
diffusions | |
Appendix | |
References | |
ISBN: | 9781441911056 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Stochastic Modelling and Applied Probability, 0172-4568 : v63 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2010-9780817648800:ONLINE Show nearby items on shelf |
Title: | Mathematics for Multimedia [electronic resource] |
Author(s): |
Mladen Victor Wickerhauser |
Date: | 2010 |
Edition: | 1 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This concise textbook presents the mathematics that is foundational to multimedia applications. Featuring a rigorous survey of selected results from algebra and analysis, the work examines tools used to create applicationsoftware for multimedia signa l processing and communication. Key features include: * Over 100 exercises with complete solutions * Useful algorithms presented in pseudocode and Standard C to help readers with programming,experimentation, and the solution of exercises * Numerous illust rations based on data from real studies * Suggestions for further reading at the end of each chapter * A companion websitemaintained by the authorprovidingcomputer programs described in the book as well as additional references and data files, such as ima ges and sounds, to enhance the readers understanding of key topics * A supplementary manualcontaining several hundred exercises,solutions, and sample programs not included in the bookavailable to instructors upon request * Minimal prerequisitesonly an und ergraduate-level knowledge of mathematics, not including statistics, is required. Mathematics forMultimedia is an ideal textbook for upper undergraduate and beginning graduate students in pure and applied mathematics, engineering, and computer science see king an innovative approach to contemporary mathematics with practicalapplications. The work may also serve as a useful reference for multimedia applications developers and other researchers and practitioners interested in the mathematics underlying multi media software design and implementation |
Note: | Springer eBooks |
Contents: | ANHA Series Preface |
Preface | |
Numbers and Arithmetic | |
Space and Linearity | |
Time and Frequency | |
Sampling and Estimation | |
Scale and Resolution | |
Redundancy and Information | |
Answers | |
Basics, Technicalities, and Digressions | |
Index | |
ISBN: | 9780817648800 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Multimedia systems , Fourier analysis , Algorithms , Computer software |
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Call number: | SPRINGER-2010-9780387886305:ONLINE Show nearby items on shelf |
Title: | Computational Neuroscience [electronic resource] |
Author(s): |
Wanpracha Chaovalitwongse Panos M Pardalos Petros Xanthopoulos |
Date: | 2010 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The human brain is among the most complex systems known to mankind. Neuroscientists seek to understand brain function through detailed analysis of neuronal excitability and synaptic transmission. Only in the last few years has itbecome feasible to ca pture simultaneous responses from a large enough number of neurons to empirically test the theories of human brain function computationally. This book is comprised of state-of-the-art experiments and computationaltechniques that provide new insights and i mprove our understanding of the human brain. This volume includes contributions from diverse disciplines including electrical engineering, biomedical engineering, industrial engineering, andmedicine, bridging a vital gap between the mathematical sciences and neuroscience research. Covering a wide range of research topics, this volume demonstrates how various methods from data mining, signal processing, optimization andcutting-edge medical techniques can be used to tackle the most challenging problems in m odern neuroscience. The results presented in this book are of great interest and value to scientists, graduate students, researchers and medicalpractitioners interested in the most recent developments in computational neuroscience |
Note: | Springer eBooks |
ISBN: | 9780387886305 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v38 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Neurosciences , Computer science Mathematics , Biomedical engineering |
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Call number: | SPRINGER-2009-9783642034138:ONLINE Show nearby items on shelf |
Title: | Multiscale, Nonlinear and Adaptive Approximation [electronic resource] : Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday |
Author(s): |
Ronald DeVore Angela Kunoth |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmensscientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations,Computer-Aided Geometric Design, and Learning Theory. The m ain focus and common theme of all the articles in this volume is the mathematics building the foundation for most efficient numerical algorithms for simulating complexphenomena |
Note: | Springer eBooks |
ISBN: | 9783642034138 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Computer science Mathematics , Numerical analysis , Engineering mathematics |
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Call number: | SPRINGER-2009-9783540878490:ONLINE Show nearby items on shelf |
Title: | Kalman Filtering [electronic resource] : with Real-Time Applications |
Author(s): |
Charles K Chui Guanrong Chen |
Date: | 2009 |
Edition: | 4 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Kalman Filtering with Real-Time Applications presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering. The filtering algorithms are derived via different approaches, including adirect method consisting o f a series of elementary steps, and an indirect method based on innovation projection. Other topics include Kalman filtering for systems with correlated noise or colored noise, limiting Kalman filtering fortime-invariant systems, extended Kalman filtering for nonlinear systems, interval Kalman filtering for uncertain systems, and wavelet Kalman filtering for multiresolution analysis of random signals. Most filtering algorithms areillustrated by using simplified radar tracking examples. The style of the bo ok is informal, and the mathematics is elementary but rigorous. The text is self-contained, suitable for self-study, and accessible to all readers with aminimum knowledge of linear algebra, probability theory, and system engineering |
Note: | Springer eBooks |
Contents: | Preliminaries |
Kalman Filter: An Elementary Approach | |
Orthogonal Projection and Kalman Filter | |
Correlated System and Measurement Noise Processes | |
Colored Noise | |
Limiting Kalman Filter | |
Sequential and Square | |
Root Algorithms | |
Extended Kalman Filter and System Identification | |
Decoupling of Filtering Equations | |
Kalman Filtering for Interval Systems | |
Wavelet Kalman Filtering | |
Notes | |
ISBN: | 9783540878490 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Electronic data processing , Mathematical physics , Engineering mathematics , Telecommunication , Economics |
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Call number: | SPRINGER-2009-9781402099274:ONLINE Show nearby items on shelf |
Title: | Polygons, Polyominoes and Polycubes [electronic resource] |
Author(s): |
Anthony J Guttman |
Date: | 2009 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This unique book gives a comprehensive account of new mathematical tools used to solve polygon problems. In the 20th and 21st centuries, many problems in mathematics, theoretical physics and theoretical chemistry and morerecently in molecular biolog y and bio-informatics can be expressed as counting problems, in which specified graphs, or shapes, are counted. One very special class of shapes is that of polygons. These are closed, connected paths inspace. We usually sketch them in two-dimensions, but they can exist in any dimension. The typical questions asked include how many are there of a given perimeter?, how big is the average polygon of given perimeter?, andcorresponding questions about the area or volume enclosed. That is to say how many enclo sing a given area? and how large is an average polygon of given area? Simple though these questions are to pose, they are extraordinarilydifficult to answer. They are important questions because of the application of polygon, and the related problems of p olyomino and polycube counting, to phenomena occurring in the natural world, and also because the study of theseproblems has been responsible for the development of powerful new techniques in mathematics and mathematical physics, as well as in computer sc ience. These new techniques then find application more broadly. The book brings togetherchapters from many of the major contributors in the field. An introductory chapter giving the history of the problem is followed by fourteen further chapters describin g particular aspects of the problem, and applications to biology, tosurface phenomena and to computer enumeration methods |
Note: | Springer eBooks |
ISBN: | 9781402099274 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v775 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry Mathematics , Electronic data processing , Algorithms , Combinatorics , Mathematical physics , Engineering |
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Call number: | SPRINGER-2009-9781402096136:ONLINE Show nearby items on shelf |
Title: | Bilinear Control Systems [electronic resource] : Matrices in Action |
Author(s): |
David Elliott |
Date: | 2009 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A control system is called bilinear if it is described by linear differential equations in which the control inputs appear as coefficients. The study of bilinear control systems began in the 1960s and has since developed into afascinating field, vita l for the solution of many challenging practical control problems. Its methods and applications cross inter-disciplinary boundaries, proving useful in areas as diverse as spin control in quantum physics and thestudy of Lie semigroups. The first half of th e book is based upon matrix analysis, introducing Lie algebras and the Campbell-Baker-Hausdorff Theorem. Individual chapters are dedicated to topics such as discrete-time systems,observability and realization, examples from science and engineering, linear ization of nonlinear systems, and input-output analysis. Written by one of the leading researchers in the field in a clear and comprehensible manner and ladenwith proofs, exercises and Mathematica scripts, this involving text will be a vital and thorough introduction to the subject for first-year graduate students of control theory. It will also be of great value to academics andresearchers with an interest in matrix analysis, Lie algebra, and semigroups |
Note: | Springer eBooks |
Contents: | 1. Introduction |
2. Lie Algebras, Lie Groups | |
3. Systems in Drift | |
4. Discrete Time Bilinear Systems | |
5. Systems with Outputs | |
6. Examples | |
7. Linearization | |
8. Input Structures | |
A. Matrix Algebra | |
B. Lie Algebras and Groups | |
C. Algebraic Geometry | |
D. Transitive Lie Algebras | |
References | |
Index | |
ISBN: | 9781402096136 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v169 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra Data processing , Matrix theory , Topological Groups , Systems theory |
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Call number: | SPRINGER-2009-9781402091438:ONLINE Show nearby items on shelf |
Title: | Complex Dynamics in Physiological Systems: From Heart to Brain [electronic resource] |
Author(s): |
Syamal K Dana Prodyot K Roy Jrgen Kurths |
Date: | 2009 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Nonlinear dynamics has become an important field of research in recent years in many areas of the natural sciences. In particular, it has potential applications in biology and medicine nonlinear data analysis has helped todetect the progress of cardi ac disease, physiological disorders, for example episodes of epilepsy, and others. This book focuses on the current trends of research concerning the prediction of sudden cardiac death and the onset ofepileptic seizures, using the nonlinear analysis based on ECG and EEG data. Topics covered include the analysis of cardiac models and neural models. The book is a collection of recent research papers by leading physicists,mathematicians, cardiologists and neurobiologists who are actively involved in using th e concepts of nonlinear dynamics to explore the functional behaviours of heart and brain under normal and pathological conditions. This collectionis intended for students in physics, mathematics and medical sciences, and researchers in interdisciplinary a reas of physics and biology |
Note: | Springer eBooks |
Contents: | Data Analysis |
A Unified Approach to Attractor Reconstruction | |
Multifractal Analysis of Physiological Data: A Non | |
Subjective Approach | |
Direction of Information Flow Between Heart Rate, Blood Pressure and Breathing | |
Cardiovascular Physics: Modelling | |
The Mathematical Modelling of Inhomogeneities in Ventricular Tissue | |
Controlling Spiral Turbulence in Simulated Cardiac Tissue by Low | |
Amplitude Traveling Wave Stimulation | |
Suppression of Turbulent Dynamics in Models of Cardiac Tissue by Weak Local Excitations | |
Synchronization Phenomena in Networks of Oscillatory and Excitable Luo | |
Ru | |
ISBN: | 9781402091438 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Medicine , Biology Data processing , Biomedical engineering , Statistics , Engineering |
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Call number: | SPRINGER-2009-9780817648046:ONLINE Show nearby items on shelf |
Title: | Data Modeling for Metrology and Testing in Measurement Science [electronic resource] |
Author(s): |
Franco Pavese Alistair B Forbes |
Date: | 2009 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book and companion DVD provide a comprehensive set of modeling methods for data and uncertainty analysis, taking readers beyond mainstream methods described in standard texts. The emphasis throughout is on techniques having abroad range of real- world applications in measurement science. Mainstream methods of data modeling and analysis typically rely on certain assumptions that do not hold for many practical applications. Developed in this work are methodsand computational tools to address genera l models that arise in practice, allowing for a more valid treatment of calibration and test data and providing a deeper understanding of complex situations in measurement science. Additionalfeatures and topics of the book include: * Introduction to model ing principles in metrology and testing * Presentation of a basic probability framework in metrology and statistical approaches to uncertainty assessment * Discussion ofthe latest developments in data analysis using least squares, Fast Fourier Transform, wavelets, and fuzzy logic methods * Data fusion using neural networks, fuzzy methods, decision making, and risk analysis * A computer-assisted,rigorous approach to data evaluation and analysis of measurement software validity * Introduction to virtual ins truments, and an overview of IT tools for measurement science Data Modeling for Metrology and Testing in MeasurementScience may be used as a textbook in graduate courses on data modeling and computational methods, or as a training manual in the fields of calibration and testing. The book will also serve as an excellent reference for metrologists,mathematicians, statisticians, software engineers, chemists, and other practitioners with a general interest in measurement science |
Note: | Springer eBooks |
Contents: | Preface |
List of Contributors | |
An Introduction to Data Modelling Principles in Metrology and Testing | |
Probability in Metrology | |
Three Statistical Paradigms for the Assessment and Interpretation of Measurement Uncertainty | |
Interval Computations and Interval | |
Related Statistical Techniques: Tools for Estimating Uncertainty of the Results of Data Processing and Indirect Measurements | |
Parameter Estimation Based on Least Squares Methods | |
Frequency and TimeFrequency Domain Analysis Tools in Measurement | |
Data Fusion, Decision | |
Making, and Risk Analysis: Mathematical Tools and Techniq | |
ISBN: | 9780817648046 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Distribution (Probability theory) , Mathematical statistics , Statistics , Industrial engineering |
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Call number: | SPRINGER-2009-9780387981444:ONLINE Show nearby items on shelf |
Title: | Computational Statistics [electronic resource] |
Author(s): |
James E Gentle |
Date: | 2009 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Computational inference has taken its place alongside asymptotic inference and exact techniques in the standard collection of statistical methods. Computational inference is based on an approach to statistical methods that usesmodern computational po wer to simulate distributional properties of estimators and test statistics. This book describes computationally-intensive statistical methods in a unified presentation, emphasizing techniques, such as the PDFdecomposition, that arise in a wide range of m ethods. The book assumes an intermediate background in mathematics, computing, and applied and theoretical statistics. The first part of the book, consisting of a single long chapter,reviews this background material while introducing computationally-inten sive exploratory data analysis and computational inference. The six chapters in the second part of the book are on statistical computing. This part describesarithmetic in digital computers and how the nature of digital computations affects algorithms used in statistical methods. Building on the first chapters on numerical computations and algorithm design, the following chapters cover themain areas of statistical numerical analysis, that is, approximation of functions, numerical quadrature, numerical line ar algebra, solution of nonlinear equations, optimization, and random number generation. The third and fourth partsof the book cover methods of computational statistics, including Monte Carlo methods, randomization and cross validation, the bootstrap, pro bability density estimation, and statistical learning. The book includes a large number ofexercises with some solutions provided in an appendix. James E. Gentle is University Professor of Computational Statistics at George Mason University. He is a Fellow of the American Statistical Association (ASA) and of the AmericanAssociation for the Advancement of Science. He has held several national offices in the ASA and has served as associate editor of journa |
Note: | Springer eBooks |
Contents: | Preliminaries |
Mathematical and Statistical Preliminaries | |
Statistical Computing | |
Computer Storage and Arithmetic | |
Algorithms and Programming | |
Approximation of Functions and Numerical Quadrature | |
Numerical Linear Algebra | |
Solution of Nonlinear Equations and Optimization | |
Generation of Random Numbers | |
Methods of Computational Statistics | |
Graphical Methods in Computational Statistics | |
Tools for Identification of Structure in Data | |
Estimation of Functions | |
Monte Carlo Methods for Statistical Inference | |
Data Randomization, Partitioning, and Augmentation | |
Bootstrap Met | |
ISBN: | 9780387981444 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistics and Computing, 1431-8784 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Electronic data processing , Data mining , Computer simulation , Numerical analysis , Mathematical statistics , Engineering mathematics |
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Call number: | SPRINGER-2009-9780387096247:ONLINE Show nearby items on shelf |
Title: | Reactive Search and Intelligent Optimization [electronic resource] |
Author(s): |
Roberto Battiti Mauro Brunato Franco Mascia |
Date: | 2009 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Reactive Search integrates sub-symbolic machine learning techniques into search heuristics for solving complex optimization problems. By automatically adjusting the working parameters, a reactive search self-tunes and adapts,effectively learning by d oing until a solution is found. Intelligent Optimization, a superset of Reactive Search, concerns online and off-line schemes based on the use of memory, adaptation, incremental development of models,experimental algorithms applied to optimization, intell igent tuning and design of heuristics. Reactive Search and Intelligent Optimization is an excellent introduction to the main principles of reactive search, as well as an attempt todevelop some fresh intuition for the approaches. The book looks at differen t optimization possibilities with an emphasis on opportunities for learning and self-tuning strategies. While focusing more on methods than on problems,problems are introduced wherever they help make the discussion more concrete, or when a specific proble m has been widely studied by reactive search and intelligent optimization heuristics. Individual chapters cover reacting on theneighborhood reacting on the annealing schedule reactive prohibitions model-based search reacting on the objective function rela tionships between reactive search and reinforcement learning and much more. Each chapter isstructured to show basic issues and algorithms the parameters critical for the success of the different methods discussed and opportunities and schemes for the auto mated tuning of these parameters. Anyone working in decision makingin business, engineering, economics or science will find a wealth of information here |
Note: | Springer eBooks |
Contents: | Introduction: Machine Learning for Intelligent Optimization |
Reacting on the neighborhood | |
Reacting on the Annealing Schedule | |
Reactive Prohibitions | |
Reacting on the Objective Function | |
Reacting on the Objective Function | |
Supervised Learning | |
Reinforcement Learning | |
Algorithm Portfolios and Restart Strategies | |
Racing | |
Teams of Interacting Solvers | |
Metrics, Landscapes and Features | |
Open Problems | |
ISBN: | 9780387096247 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operations Research/Computer Science Interfaces Series, 1387-666X : v45 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Artificial intelligence , Operations research , Engineering mathematics , Industrial engineering |
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Call number: | SPRINGER-2008-9783540756323:ONLINE Show nearby items on shelf |
Title: | Mathematical Methods in Signal Processing and Digital Image Analysis [electronic resource] |
Author(s): |
Rainer Dahlhaus Jrgen Kurths Peter Maass Jens Timmer |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences. Inparticular, mathemati cally justified algorithms and methods, the mathematical analysis of these algorithms, and methods as well as the investigation of connections between methods from time series analysis and image processing arereviewed. An interdisciplinary comparison of t hese methods, drawing upon common sets of test problems from medicine and geophysical/enviromental sciences, is also addressed. This volume coherently summarizes work carried out in thefield of theoretical signal and image processing. It focuses on non-li near and non-parametric models for time series as well as on adaptive methods in image processing |
Note: | Springer eBooks |
Contents: | Multivariate Time Series Analysis |
Surrogate Data A Qualitative and Quantitative Analysis | |
Multiscale Approximation | |
Inverse Problems and Parameter Identification in Image Processing | |
Analysis of Bivariate Coupling by Means of Recurrence | |
Structural Adaptive Smoothing Procedures | |
Nonlinear Analysis of Multi | |
Dimensional Signals: Local Adaptive Estimation of Complex Motion and Orientation Patterns | |
ISBN: | 9783540756323 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Computer science , Computer vision , Mathematics , Engineering |
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Call number: | SPRINGER-2008-9780387789354:ONLINE Show nearby items on shelf |
Title: | Scheduling [electronic resource] : Theory, Algorithms, and Systems |
Author(s): |
Michael L Pinedo |
Date: | 2008 |
Edition: | Third Edition |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book on scheduling covers theoretical models as well as scheduling problems in the real world. The book consists of three parts. The first part focuses on deterministic scheduling with the associated combinatorial problems.The second part covers probabilistic scheduling models. In this part it is assumed that processing times and other problem data are not known in advance. The third part deals with scheduling in practice. It covers heuristics that arepopular with practitioners and discusses sys tem design and development issues. Each chapter contains a series of computational and theoretical exercises. This book is of interest to theoreticians and practitioners alike. Graduatestudents in operations management, operations research, industrial eng ineering and computer science will find the book to be an accessible and invaluable resource. Scheduling will serve as an essential reference for professionalsworking on scheduling problems in manufacturing and computing environments. Michael Pinedo is th e Julius Schlesinger Professor of Operations Management at New York University |
Note: | Springer eBooks |
Contents: | Deterministic Models |
Deterministic Models: Preliminaries | |
Single Machine Models (Deterministic) | |
Advanced Single Machine Models (Deterministic) | |
Parallel Machine Models (Deterministic) | |
Flow Shops and Flexible Flow Shops (Deterministic) | |
Job Shops (Deterministic) | |
Open Shops (Deterministic) | |
Stochastic Models | |
Stochastic Models: Preliminaries | |
Single Machine Models (Stochastic) | |
Single Machine Models with Release Dates (Stochastic) | |
Parallel Machine Models (Stochastic) | |
Flow Shops, Job Shops and Open Shops (Stochastic) | |
Scheduling in Practice | |
General Purpose Pro | |
ISBN: | 9780387789354 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Systems theory , Operations research , Distribution (Probability theory) , Industrial engineering |
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Call number: | SPRINGER-2008-9780387497655:ONLINE Show nearby items on shelf |
Title: | Matrix-Based Multigrid [electronic resource] : Theory and Applications |
Author(s): |
Yair Shapira |
Date: | 2008 |
Edition: | 2 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to morerealistic applications with co mplicated grids and domains. Key Features of this Second Edition: - Discusses multigrid methods from the domain decomposition viewpoint, thus making the material accessible to beginningundergraduate/graduate students - Uses the semialgebraic multigrid app roach to handle complex topics (such as the solution of systems of PDEs) - Provides relevant and insightful exercises at the end of each chapter which help reinforcethe material - Uses numerous illustrations and examples to motivate the subject matter - C overs important applications in physics, engineering and computer science Matrix-Based Multigrid can serve as a textbook for courses in numericallinear algebra, numerical methods for PDEs, and computational physics at the advanced undergraduate and gradua te levels. Since most of the background material is covered, the only prerequisites are elementary linear algebra andcalculus. Excerpts from the reviews of the first edition: This book contains a wealth of information about using multilevel methods to sol ve partial differential equations (PDEs). . . A common matrix-based framework for developingthese methods is used throughout the book. This approach allows methods to be developed for problems under three very different conditions. . . This book will be i nsightful for practitioners in the field. . . students will enjoystudying this book to see how the many puzzle pieces of the multigrid landscape fit together. (Loyce Adams, SIAM review, Vol. 47(3), 2005) The discussion very often includes important applic ations in physics, engineering, andcomputer science. The style is clear, the details can be understood without any serious prerequisite. The usage of multigrid method for unstructured grids is exhibi |
Note: | Springer eBooks |
Contents: | List of Figures |
List of Tables | |
Preface | |
Part I. Concepts and Preliminaries | |
1. The MultilevelMultiscale Approach | |
2. Preliminaries | |
Part II. Partial Differential Equations and Their Discretization | |
3. Finite Differences and Volumes | |
4. Finite Elements | |
Part III. Numerical Solution of Linear Systems | |
5. Iterative Linear System Solvers | |
6. The Multigrid Iteration | |
Part IV. Multigrid for Structured Grids | |
7. Automatic Multigrid | |
8. Applications in Image Processing | |
9. Black | |
Box Multigrid | |
10. The Indefinite Helmholtz Equation | |
11. Matrix | |
Based Semicoarsening | |
ISBN: | 9780387497655 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Numerical Methods and Algorithms, 1571-5698 : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Electronic data processing , Matrix theory , Computer science Mathematics , Engineering |
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Location: | ONLINE |
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