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SPIRES-BOOKS: FIND KEYWORD GLOBAL ANALYSIS MATHEMATICS *END*INIT* use /tmp/qspiwww.webspi1/7082.85 QRY 131.225.70.96 . find keyword "global analysis mathematics" ( in books using www Cover
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Call number:9783319393391:ONLINE Show nearby items on shelf
Title:Singularities in Geometry, Topology, Foliations and Dynamics A Celebration of the 60th Birthday of José Seade, Merida, Mexico, December 2014
Author(s):
Date:2017
Size:1 online resource (XVII, 231 p. 15 illus., 10 illus. in color p.)
Contents:Extending the action of Schottky groups on the complex anti-de Sitter space to the projective space -- Puiseux Parametric Equations via the Amoeba of the Discriminant -- Some open questions on arithmetic Zariski pairs -- Logarithmic
vector fields and the Severi strata in the discriminant -- Classification of Isolated Polar Weighted Homogeneous Singularities -- Rational and iterated maps, degeneracy loci, and the generalized Riemann-Hurwitz formula -- On singular
varieties with smooth subvarieties -- On Polars of Plane Branches -- Singular Intersections of Quadrics I -- A New Conjecture, a New Invariant, and a New Non-splitting Result -- Lipschitz geometry does not determine embedded
topological type -- Projective transverse structures for some foliations -- Chern classes and transversality for singular spaces
ISBN:9783319393391
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Algebraic geometry , Global analysis (Mathematics) , Manifolds (Mathematics) , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces , Algebraic Geometry , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9789462391710:ONLINE Show nearby items on shelf
Title:Noether's Theorems Applications in Mechanics and Field Theory
Author(s): Gennadi Sardanashvily
Date:2016
Edition:1st ed. 2016
Size:1 online resource (297 p.)
Note:10.2991/978-94-6239-171-0
Contents:Calculus of variations on fibre bundles -- Noether’s first theorem -- Lagrangian and Hamiltonian field theories -- Lagrangian and Hamiltonian nonrelativistic mechanics -- Global Kepler problem -- Calculus of variations on graded bundles -- Noe ther’s second theorems -- Yang–Mills gauge theory on principal bundles -- SUSY gauge theory on principal graded bundles -- Gauge gravitation theory on natural bundles -- Chern–Simons topological field theory -- Topological BF theory
ISBN:9789462391710
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Atlantis Studies in Variational Geometry: 3
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Mathematical physics , Mechanics , Mathematics , Global Analysis and Analysis on Manifolds , Mechanics , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9783658106331:ONLINE Show nearby items on shelf
Title:Manifolds, Sheaves, and Cohomology
Author(s): Torsten Wedhorn
Date:2016
Size:1 online resource (354 p.)
Note:10.1007/978-3-658-10633-1
Contents:Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohom ology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis
ISBN:9783658106331
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Topological groups , Lie groups , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential geometry , Mathematics , Category Theory, Homological Algebra , Topological Groups, Lie Groups , Differential Geometry , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319335070:ONLINE Show nearby items on shelf
Title:Monte Carlo and Quasi-Monte Carlo Methods MCQMC, Leuven, Belgium, April 2014
Author(s):
Date:2016
Size:1 online resource (57 p.)
Note:10.1007/978-3-319-33507-0
Contents:Part I Invited papers -- Multilevel Monte Carlo Implementation for SDEs driven by Truncated Stable Processes -- Construction of a Mean Square Error Adaptive Euler–Maruyama Method With Applications in Multilevel Monte Carlo -- Vandermonde Nets and Vandermonde Sequences -- Path Space Markov Chain Monte Carlo Methods in Computer Graphics -- Walsh Figure of Merit for Digital Nets: An Easy Measure for Higher Order Convergent QMC -- Some Results on the Complexity of Numerical Integration -- Approximate Bayesian Computation: A Survey on Recent Results -- Part II Contributed papers -- Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier–Stokes Equations -- Unbiased Simulation of Distributions with Explicitly Known Integral Transforms -- Central Limit Theorem for Adaptive Multilevel Splitting Estimators in an Idealized Setting -- Comparison between LS-Sequences and β -adic van der Corput Sequences -- Computational Higher Order Quasi-Monte Carlo Integration -- Numerical
Computation of Multivariate Normal Probabilities using Bivariate Conditioning -- Non-nested Adaptive Timesteps in Multilevel Monte Carlo Computations -- On ANOVA Decompositions of Kernels and Gaussian Random Field Paths -- The Mean Square Quasi-Mont e Carlo Error for Digitally Shifted Digital Nets -- Uncertainty and Robustness in Weather Derivative Models -- Reliable Adaptive Cubature Using Digital Sequences -- Optimal Point Sets for Quasi-Monte Carlo Integration of Bivariate Periodic Functions with Bounded Mixed Derivatives -- Adaptive Multidimensional Integration Based on Rank-1 Lattices -- Path Space Filtering -- Tractability of Multivariate Integration in Hybrid Function Spaces -- Derivative-based Global Sensitivity Measures and Their Link with S obol’ Sensitivity Indices -- Bernstein Numbers and Lower Bounds for the Monte Carlo Error -- A Note on the Importance of Weak Convergence Rates for SPDE Approximations in Multilevel Monte Carlo Schemes -- A Strategy for Parallel
Implementations of Stochastic Lagrangian Simulation -- A New Rejection Sampling Method for Truncated Multivariate Gaussian Random Variables Restricted to Convex Sets -- Van der Corput and Golden Ratio Sequences Along the Hilbert Space-Filling Curve -- Uniform Weak Tractability of Weighted Integration -- Incremental Greedy Algorithm and Its Applications in Numerical Integration -- On “Upper Error Bounds for Quadrature Formulas on Function Classes” by K K Frolov -- Tractability of Function Approxi mation With Product Kernels -- Discrepancy Estimates for Acceptance-Rejection Samplers Using Stratified Inputs -- List of Participants -- Index
ISBN:9783319335070
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 163
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Computer mathematics , Mathematics , Computational Mathematics and Numerical Analysis , Applications of Mathematics
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Call number:SPRINGER-2016-9783319321448:ONLINE Show nearby items on shelf
Title:From Particle Systems to Partial Differential Equations III Particle Systems and PDEs III, Braga, Portugal, December 2014
Author(s):
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-3-319-32144-8
Contents:Convergence of Diffusion-Drift Many Particle Systems in Probability under a Sobolev Norm -- Global asymptotic stability of a general nonautonomous Cohen-Grossberg model with unbounded amplification functions -- Modelling of systems with a dispersed phase: “measuring” small sets in the presence of elliptic operators -- From market data to agent-based models and stochastic differential equations -- Entropy dissipation estimates for the Landau equation: General cross sections -- Phase transitions and coarse-graining for a system of particles in the continuum -- Sub–shock formation in reacting gas mixtures -- The gradient flow approach to hydrodynamic limits for the simple exclusion process -- The gradient flow approach to hydrodynamic limits f or the simple exclusion process -- Hydrodynamic limit of quantum random walks -- Derivation of the Boltzmann equation: hard spheres, short-range potentials and beyond -- Duality relations for the periodic ASEP conditioned on a low current --
Asymptotics for FBSDES with Jumps and Connections with Partial Integral Differential Equations -- The Boltzmann Equation over RD: Dispersion vs Dissipation
ISBN:9783319321448
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 162
Keywords: Mathematics , Functional analysis , Partial differential equations , Applied mathematics , Engineering mathematics , Probabilities , Physics , Mathematics , Functional Analysis , Partial Differential Equations , Applications of Mathematics , Probability Theory and Stochastic Processes , Numerical and Computational Physics
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Call number:SPRINGER-2016-9783319317564:ONLINE Show nearby items on shelf
Title:Geometric Methods in Physics XXXIV Workshop, Białowieża, Poland, June 28 – July 4, 2015
Author(s):
Date:2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-31756-4
ISBN:9783319317564
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Group theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Physics , Mathematics , Group Theory and Generalizations , Global Analysis and Analysis on Manifolds , Mathematical Methods in Physics
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Call number:SPRINGER-2016-9783319313382:ONLINE Show nearby items on shelf
Title:Essays in Mathematics and its Applications In Honor of Vladimir Arnold
Author(s):
Date:2016
Size:1 online resource (22 p.)
Note:10.1007/978-3-319-31338-2
Contents:A new way to compute the Rodrigues coefficients of functions of the Lie groups of matrices (D. Andrica, O.L. Chender) -- Quasimodes in integrable systems and semi-classical limit (M. Baldo, F. Raciti) -- Manifolds which are complex and symplectic bu t not Kahler (G. Bazzoni, V. Munoz) -- Solvability of a non clamped frictional contact problem with adhesion (O. Chau, D. Goeleven, R. Oujja) -- The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence (A. Fortunati, S. Wi ggins) -- Iterative Methods for the Elastography Inverse Problem of Locating Tumors (B. Jadamba, A.A. Khan, F. Raciti, C. Tammer, B. Winkler) -- Transversality theory with applications to differential equations (D. Motreanu, V.V. Motreanu) -- Lattice-like subsets of Euclidean Jordan algebras (A.B. Nemeth, S.Z. Nemeth) -- Simultaneous Diophantine approximation: Searching for analogues of Hurwitz’ theorem (W.G. Nowak) -- On the fixed points of a Hamiltonian diffeomorphism in presence of
fundamental group (K. Ono, A. Pajitnov) -- Some Generalizations of Fixed Point Theorems on S-Metric Spaces (N.Y. Ozgur, N.A. Tas) -- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces (C. Park, J.R. Lee, T.M. Rassias) -- The Maslov Ind ex in PDEs Geometry (A. Prastaro) -- On the infimum of certain functionals (B. Ricceri) -- The Algebra of Gyrogroups: Cayley Theorem, Lagrange Theorem, and Isomorphism Theorems (T. Suksumran) -- Mild continuity properties of relations and relators in rela tor spaces (A. Szaz, A. Zakaria) -- Contraction Maps in Pseudometric Structures (M. Turinici) -- Novel Tools to Determine Hyperbolic Triangle Centers (A.A. Ungar)
ISBN:9783319313382
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Dynamics , Ergodic theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Algebraic topology , Complex manifolds , Mathematics , Dynamical Systems and Ergodic Theory , Algebraic Topology , Manifolds and Cell Complexes (incl. Diff.Topology) , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319312811:ONLINE Show nearby items on shelf
Title:Mathematical Analysis, Approximation Theory and Their Applications
Author(s):
Date:2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-31281-1
Contents:A brief history of the Favard operator and its variants -- Bivariate extension of linear positive operators -- Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives -- The retraction-displacement condition in the theo ry of fixed point equation with a convergent iterative algorithm -- An adaptive finite element method for solving a free boundary problem with periodic boundary conditions in lubrication theory -- Evolution solutions of equilibrium problems - a computatio nal approach -- Cantor, Banach and Baire theorems in generalized metric spaces -- A Survey of Perturbed Ostrowski Type Inequalities -- Hyers-Ulam-Rassias stability of the generalized Wilson’s functional equation -- Approximation under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane -- On the asymptotic behavior of sequences of positive linear approximation operators -- Approximation of functions by additive and by quadratic mappings -- Bernstein Type
Inequalities concerning Growth of Polynomials -- Approximation for generalization of Baskakov-Durrmeyer operators -- A Tour on p (x)-Laplacian Problems When p = ∞ -- An umbral calculus approach to Bernoulli-Padé polynomials -- Hadamard Matrices: Insights into their growth factor and determinant computations -- Localized summability kernels for Jacobi expansions -- Quadrature rules with multiple nodes -- A -summability of sequences of linear conservative operators -- Simultaneous Weighted Approxim ation with Multivariate Baskakov-Schurer Operators -- Approximation of Discontinuous Functions by q-Bernstein Polynomials -- Nests, and their Role in the Orderability Problem -- Resolvent Operators for Some Classes of Integro-Differential Equations -- Com ponent Matrices of a Square Matrix and their Properties -- Solutions of Some Types of Differential Equations and of Their Associated Physical Problems by Means of Inverse Differential Operators -- A modified pointwise estimate on simultaneous
approximation by Bernstein polynomials -- Structural Fixed Point Results in Metric Spaces -- Models of Fuzzy Linear Regression: An Application in Engineering -- Properties of Functions of generalized bounded variations
ISBN:9783319312811
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 111
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Operator theory , Special functions , Computer mathematics , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Operator Theory , Special Functions , Global Analysis and Analysis on Manifolds , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319291161:ONLINE Show nearby items on shelf
Title:Noncommutative Analysis, Operator Theory and Applications
Author(s):
Date:2016
Size:1 online resource (2 p.)
Note:10.1007/978-3-319-29116-1
Contents:Preface -- Pimsner algebras and noncommutative circle bundles -- A fractional Dirac operator -- On the Sylvester equation over quaternions -- The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Ope rators -- Clifford-Hermite polynomials in fractional Clifford analysis -- Negative definite functions on groups with polynomial growth -- An introduction to superoscillatory sequences -- Restriction and factorization for isometric and symmetric operators in almost Pontryagin spaces -- Measurements vs Interactions: tracks in a Wilson cloud chamber -- The radii problems for holomorphic mappings in J∗-algebras -- Lévy Processes on Quantum Permutation Groups -- New results on old spectral triples for fract als -- Why are Orlicz spaces useful for Statistical Physics?
ISBN:9783319291161
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications: 252
Keywords: Mathematics , Functional analysis , Global analysis (Mathematics) , Manifolds (Mathematics) , Operator theory , Mathematics , Functional Analysis , Operator Theory , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319281865:ONLINE Show nearby items on shelf
Title:Convexity and Discrete Geometry Including Graph Theory Mulhouse, France, September 2014
Author(s):
Date:2016
Size:1 online resource (39 p.)
Note:10.1007/978-3-319-28186-5
Contents:Introduction -- PART I Research Articles. Marcus: Tudor Zamfirescu: from convex to magic -- Yuan: Acute Triangulations of Rectangles, with Angles Bounded Below -- Skupien: Multi-compositions in exponential counting of hypohamiltonian snarks -- Shabb ir & T. Zamfirescu: Hamiltonicity in k-tree-Halin graphs -- Schneider: Reflections of planar convex bodies -- Rouyer: Steinhaus conditions for convex polyhedra -- Riviere: About the Hausdorff dimension of the set of endpoints of convex surfaces -- Prunesc u: About a surprising computer program of Matthias Müller -- Oliveros, Martinez & Montejano: Extremal results on intersection graphs of boxes in R^d -- Massé, Euler & Lemarchand: On the connected spanning cubic subgraph problem -- Kincses: On the Helly dimension of Hanner polytopes -- Itoh & Ohtsuka: Classification of normal 2-polyhedra of positive constant curvature -- Heppes & Jeronimo-Castro: T(4) families ofϕ-disjoint ovals -- Fruchard & Magazinov: Fair partitioning by straight lines --
Filip & Petrusel: Fixed point theorems for multivalued Zamfrescu operators in convex Kasahara spaces -- Et-Taoui: Complex conference matrices, complex Hadamard matrices and complex equiangular tight frames -- Chevallier, Fruchard & Vilcu: Envelopes of α-sections -- Bokowski & al.: Selected open and solved problems in computational synthetic geometry -- Bau: Reductions of 3-connected quadrangulations of the sphere -- Barany & Por: Paths on the sphere without small angles -- PART II Open Problem Note s. Zamfirescu T.: Two problems on cages for discs -- Zamfirescu Carol T.: Seven problems on hypohamiltonian and almost hypohamiltonian graphs -- Vilcu & Zamfirescu: Six problems on the length of the cut locus -- Simoes-Pereira: Existence Problems for Matr oidal Families -- Funar: Cubical Pachner moves -- Eckhoff: Problems in Discrete Geometry -- Chevallier & Fruchard: What is the minimal cardinal of a family which shatters all d-subsets of a finite set? -- Baskoro: Some open problems of Ramsey
minimal graphs.
ISBN:9783319281865
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 148
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Convex geometry , Discrete geometry , Combinatorics , Graph theory , Mathematics , Convex and Discrete Geometry , Graph Theory , Combinatorics , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319243375:ONLINE Show nearby items on shelf
Title:Maximum Principles and Geometric Applications
Author(s): Luis J Alías
Date:2016
Edition:1st ed. 2016
Size:1 online resource (570 p.)
Note:10.1007/978-3-319-24337-5
Contents:A crash course in Riemannian geometry -- The Omori-Yau maximum principle -- New forms of the maximum principle -- Sufficient conditions for the validity of the weak maximum principle -- Miscellany results for submanifolds -- Applications to hypersu rfaces -- Hypersurfaces in warped products -- Applications to Ricci Solitons -- Spacelike hypersurfaces in Lorentzian spacetimes
ISBN:9783319243375
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Partial differential equations , Geometry , Mathematics , Global Analysis and Analysis on Manifolds , Partial Differential Equations , Geometry
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Call number:SPRINGER-2016-9783319224077:ONLINE Show nearby items on shelf
Title:Quantization, PDEs, and Geometry The Interplay of Analysis and Mathematical Physics
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (11 p.)
Note:10.1007/978-3-319-22407-7
Contents:Introduction -- Todor Gramchev: Gelfand-Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in \R^n -- Miroslav Englis: An Excursion into Berezin-Toeplitz Quantization and Related Topics -- Andrew Comech: Global At traction to Solitary Waves -- Irina Markina: Geodesics in Geometry with Constraints and Applications
ISBN:9783319224077
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications: 251
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Partial differential equations , Differential geometry , Mathematical physics , Mathematics , Partial Differential Equations , Differential Geometry , Global Analysis and Analysis on Manifolds , Mathematical Physics
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Call number:SPRINGER-2014-9788847056442:ONLINE Show nearby items on shelf
Title:Matematica Numerica [electronic resource]
Author(s): Alfio Quarteroni
Riccardo Sacco
Fausto Saleri
Paola Gervasio
Date:2014
Edition:4a edizione
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:La Matematica Numerica elemento fondante del calcolo scientifico.Punto dicontatto di diverse discipline nella matematica e nelle moderne scienze applicate, ne diventa strumento di indagine qualitativa e quantitativa. Scopodi questo testo fornire i fondamenti metodologici della matematica numerica, richiamandone le principali propriet, quali la stabilit, laccuratezza e la complessit algoritmica. Nel contesto di ogni specifica classe diproblemi vengono illustrati gli algoritmi pi idonei, ne viene fat ta lanalisi teorica e se ne verificano i risultati previsti implementandoli con l'ausilio di programmi in linguaggio MATLAB. Ogni capitolo integrato da esercizi etemi svolti, questi ultimi corredati da programmi MATLAB. Il volume indirizzato principalme nte agli studenti delle facolt scientifiche, con particolare attenzione ai corsi di laurea in Ingegneria, Matematica e ScienzedellInformazione.Lenfasi posta sullo sviluppo di software lo rende interessante anche per ricercatori e utilizzatori delle tecnic he del calcolo scientifico nei campi professionali pi disparati. La quarta edizione contienenumerose integrazioni in quasi tutti i capitoli. Diverse sezioni sono inoltre state rivisitate con lo scopo di rendere pi chiari concetti ed argomenti di considere vole complessit
Contents:1 Elementi di analisi delle matrici
2 I fondamenti della matematica numerica
3 Risoluzione di sistemi lineari con metodi diretti
4 Risoluzione di sistemi lineari con metodi iterativi
5 Approssimazione di autovalori e autovettori
6 Risoluzione di equazioni e sistemi non lineari
7 Interpolazione polinomiale
8 Integrazione numerica
9 I polinomi ortogonali nella teoria dell'approssimazione
10 Risoluzione numerica di equazioni differenziali ordinarie
11 Approssimazione di problemi ai limiti
12 Problemi ai valori iniziali e ai limiti di tipo parabolico e iperbolico
ISBN:9788847056442
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v77
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Computer science Mathematics , Computer science
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Call number:SPRINGER-2014-9788847055223:ONLINE Show nearby items on shelf
Title:Numerical Models for Differential Problems [electronic resource]
Author(s): Alfio Quarteroni
Date:2014
Edition:Second Edition
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, andNavier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyzenumerical solution methods based on finite elements , finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computerimplementation aspects and provide a number of easy-to-use programs. The text does no t require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in apreliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific discipline s, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interestingbranch of applied mathematics
Contents:1 A brief survey of partial differential equations
2 Elements of functional analysis
3 Elliptic equations
4 The Galerkin finite element method for elliptic problems
5 Parabolic equations
6 Generation of 1D and 2D grids
7 Algorithms for the solution of linear systems
8 Elements of finite element programming
9 The finite volume method
10 Spectral methods
11 Discontinuous element methods (DG and mortar)
12 Diffusion
transport
reaction equations
13 Finite differences for hyperbolic equations
14 Finite elements and spectral methods for hyperbolic equations
ISBN:9788847055223
Series:eBooks
Series:SpringerLink
Series:MS&A - Modeling, Simulation and Applications, 2037-5255 : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2014-9788132218951:ONLINE Show nearby items on shelf
Title:Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics [electronic resource]
Author(s): Seshadev Padhi
John R Graef
P. D. N Srinivasu
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied tostudy the existence of tw o or three positive periodic solutions of functional differential equations with real-world applications, particularly with regard to the Lasota-Wazewska model, the Hematopoiesis model, the Nicholsons Blowfliesmodel, and some models with Allee effects. Ma ny interesting sufficient conditions are given for the dynamics that include nonlinear characteristics exhibited by population models. The last chapter provides results related to the globalappeal of solutions to the models considered in the earlier chapt ers. The techniques used in this book can be easily understood by anyone with a basic knowledge of analysis. This book offers a valuable reference guide for students andresearchers in the field of differential equations with applications to biology, ecolo gy, and the environment
Contents:Chapter 1. Introduction
Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter
Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations
Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations
Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order
Bibliography
ISBN:9788132218951
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Integral equations , Differential Equations
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Call number:SPRINGER-2014-9788132218838:ONLINE Show nearby items on shelf
Title:Nonlinear Analysis [electronic resource] : Approximation Theory, Optimization and Applications
Author(s): Qamrul Hasan Ansari
Date:2014
Publisher:New Delhi : Springer India : Imprint: Birkhuser
Size:1 online resource
Note:Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exactsolution. However, app roximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects ofnonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in thisfield, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering
Contents:Chapter 1. Best Proximity Points
Chapter 2. Semi
Continuity Properties of Metric Projections
Chapter 3. Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality
Chapter 4. Measures of Non compactness and Well
Posed Minimization Problems
Chapter 5. Well
Posedness, Regularization and Viscosity Solutions of Minimization Problems
Chapter 6. Best Approximation in Nonlinear Functional Analysis
Chapter 7. Hierarchical Minimization Problems and Applications
Chapter 8. Triple Hierarchical Variational Inequalities
Chapter 9. Split Feasibility and Fixed Point Pr
ISBN:9788132218838
Series:eBooks
Series:SpringerLink
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Operator theory , Mathematical optimization
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Call number:SPRINGER-2014-9788132216476:ONLINE Show nearby items on shelf
Title:An Introduction to Ultrametric Summability Theory [electronic resource]
Author(s): P.N Natarajan
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents, for the first time, a brief survey of the research to date in ultrametric summability theory, which is a fusion of aclassical branch of mathem atics (summability theory) with a modern branch of analysis (ultrametric analysis). Several mathematicians have contributed to summability theory as well as functional analysis. The book will appeal to bothyoung researchers and more experienced mathematic ians who are looking to explore new areas in analysis
Contents:Preface
Introduction and Preliminaries
Some Arithmetic and Analysis in Qp : Derivatives in Ultrametric Analysis
Ultrametric Functional Analysis
Ultrametric Summability Theory
References
Index
ISBN:9788132216476
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Sequences (Mathematics)
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Call number:SPRINGER-2014-9788132216148:ONLINE Show nearby items on shelf
Title:Theory of Third-Order Differential Equations [electronic resource]
Author(s): Seshadev Padhi
Smita Pati
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book discusses the theory of third-order differential equations. Most of the results are derived from the results obtained for third-order linear homogeneous differential equations with constant coefficients. M. Gregus, inhis book written in 198 7, only deals with third-order linear differential equations. These findings are old, and new techniques have since been developed and new results obtained. Chapter 1 introduces the results for oscillation andnon-oscillation of solutions of third-order li near differential equations with constant coefficients, and a brief introduction to delay differential equations is given. The oscillation and asymptotic behavior of non-oscillatorysolutions of homogeneous third-order linear differential equations with va riable coefficients are discussed in Ch. 2. The results are extended to third-order linear non-homogeneous equations in Ch. 3, while Ch. 4 explains theoscillation and non-oscillation results for homogeneous third-order nonlinear differential equations. Ch apter 5 deals with the z-type oscillation and non-oscillation of third-order nonlinear and non-homogeneous differential equations.Chapter 6 is devoted to the study of third-order delay differential equations. Chapter 7 explains the stability of solutions of third-order equations. Some knowledge of differential equations, analysis and algebra is desirable, but notessential, in order to study the topic
Contents:Preface
Chapter 1: Introduction
Chapter 2: Behaviour of Solutions of Linear Homogeneous Differential Equations of Third Order
Chapter 3: Oscillation of Solutions of Linear Nonhomogeneous Differential Equations of Third Order
Chapter 4: Oscillation and Nonoscillation of Homogeneous Third
order Nonlinear Differential Equations
Chapter 5: Oscillation and Nonoscillation of Nonlinear Nonhomogeneous Differential Equations of Third Order
Chapter 6: Oscillatory and Asymptotic Behavior of Solutions of Third Order Delay Differential Equations
Chapter 7: Stability of Third Order Diff
ISBN:9788132216148
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Global analysis (Mathematics) , Functional equations , Differential Equations
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Call number:SPRINGER-2014-9788132216117:ONLINE Show nearby items on shelf
Title:Convergence Methods for Double Sequences and Applications [electronic resource]
Author(s): M Mursaleen
S.A Mohiuddine
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of almost convergence is perhaps the most useful notion in order to obtain a weak limit of abounded non-convergent sequence. There is another notion of convergence known as the statistical convergence, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as anexample of convergence in density which is also studied as a summ ability method. Even unbounded sequences can be dealt with by using this method. The book also discusses the applications of these non-matrix methods inapproximation theory. Written in a self-contained style, the book discusses in detail the methods of al most convergence and statistical convergence for double sequences along with applications and suitable examples. The last chapter isdevoted to the study convergence of double series and describes various convergence tests analogous to those of single sequ ences. In addition to applications in approximation theory, the results are expected to find application in manyother areas of pure and applied mathematics such as mathematical analysis, probability, fixed point theory and statistics
Contents:Chapter 1: Almost and statistical convergence of ordinary sequences: A preview
Chapter 2: Almost convergence of double sequences
Chapter 3: Almost regular matrices
Chapter 4: Absolute almost convergence of double sequences
Chapter 5: Almost convergence and core theorems
Chapter 6: Application of almost convergence in approximation theorems for functions of two variables
Chapter 7: Statistical convergence of double sequences
Chapter 8: Statistical approximation of positive linear operators
Chapter 9: Double series and convergence tests
References
ISBN:9788132216117
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Sequences (Mathematics)
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Call number:SPRINGER-2014-9784431549192:ONLINE Show nearby items on shelf
Title:Bernoulli Numbers and Zeta Functions [electronic resource]
Author(s): Tsuneo Arakawa
Tomoyoshi Ibukiyama
Masanobu Kaneko
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powersof consecutive integers . The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. This leads to more advancedtopics, a number of which are treated in this book: Historical remarks on Bernoulli numbers and the formula for the sum of powers of consecutive integers a formula for Bernoulli numbers by Stirling numbers the Clausenvon Staudttheorem on the denominators of Bernoulli numbers Kummer's congruence betw een Bernoulli numbers and a related theory of p-adic measures the EulerMaclaurin summation formula the functional equation of the Riemann zeta function andthe Dirichlet L functions, and their special values at suitable integers various formulas of exponen tial sums expressed by generalized Bernoulli numbers the relation between ideal classes of orders of quadratic fields and equivalenceclasses of binary quadratic forms class number formula for positive definite binary quadratic forms congruences between so me class numbers and Bernoulli numbers simple zeta functions of prehomogeneous vector spaces Hurwitz numbers
ISBN:9784431549192
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Global analysis (Mathematics) , Number theory
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Call number:SPRINGER-2014-9783662442050:ONLINE Show nearby items on shelf
Title:Proofs from THE BOOK [electronic resource]
Author(s): Martin Aigner
Gnter M Ziegler
Date:2014
Edition:5th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This revised and enlarged fifth editionfeatures four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like thenon-existence of the Borromean rings and other surprises. From the Reviews ... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing andglorious ways. There is vast wealth within its pages, one gem aft er another. ... Aigner and Ziegler... write: ... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliantideas, clever insights and wonderful observations. I do. ... Notices of the AMS, August 1999 ... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It isa pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary bac kground is given separately, and the proofs are brilliant. ... LMS Newsletter, January 1999 Martin Aigner andGnter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erd s. The theorems are so fundamental, their proofs so elegant, and the remaining openquestions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... SIGACT News, December 2011
Contents:Number Theory: 1. Six proofs of the infinity of primes
2. Bertrands postulate
3. Binomial coefficients are (almost) never powers
4. Representing numbers as sums of two squares
5. The law of quadratic reciprocity
6. Every finite division ring is a field
7. The spectral theorem and Hadamards determinant problem
8. Some irrational numbers
9. Three times 2/6
Geometry: 10. Hilberts third problem: decomposing polyhedral
11. Lines in the plane and decompositions of graphs
12. The slope problem
13. Three applications of Eulers formula
14. Cauchys
ISBN:9783662442050
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Global analysis (Mathematics) , Combinatorics , Geometry , Number theory
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Call number:SPRINGER-2014-9783658058296:ONLINE Show nearby items on shelf
Title:Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection [electronic resource]
Author(s): Benedict Baur
Date:2014
Publisher:Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum
Size:1 online resource
Note:Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular. Topics covered are: Construction of Lp-strong Feller processes usingDirichlet form methods, regularity for solutions of elliptic boundary value problems, construction of elliptic diffusions with singular drift and reflection, Skorokhod decomposition and applications to Mathematical Physics like finiteparticle systems with singular interaction. E mphasize is placed on the handling of singular drift coefficients, as well as on the discussion of pointwise and pathwise properties of the constructed processes rather than just thequasi-everywhere properties commonly known from the general Dirichlet for m theory. Contents Construction of Lp-Strong Feller Processes Elliptic Boundary Value Problems Skorokhod Decomposition for Reflected Diffusions with SingularDrift Particle Systems with singular interaction Target Groups Graduate and PhD students, research ers of Mathematics in the field (Functional) Analysis, Stochastics, Partial Differential Equations and Mathematical Physics The AuthorBenedict Baur has done his doctors degree at the University of Kaiserslautern in topics on Stochastics and Functional Ana lysis.
Contents:Introduction
Construction of Lp
Strong Feller Processes
Elliptic Regularity up to the Boundary
Construction of Elliptic Diffusions
Applications
Construction of the Local Time and Skorokhod Decomposition
Appendix
ISBN:9783658058296
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783658052522:ONLINE Show nearby items on shelf
Title:Phase Separation Coupled with Damage Processes [electronic resource] : Analysis of Phase Field Models in Elastic Media
Author(s): Christian Heinemann
Christiane Kraus
Date:2014
Publisher:Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum
Size:1 online resource
Note:The authors explore a unifying model which couples phase separation and damage processes in a system of partial differential equations. The model has technological applications to solder materials where interactions of bothphenomena have been observe d and cannot be neglected for a realistic description. The equations are derived in a thermodynamically consistent framework and suitable weak formulations for various types of this coupled system arepresented. In the main part, existence of weak solution s is proven and degenerate limits are investigated. Contents Modeling of Phase Separation and Damage Processes Notion of Weak Solutions Existence of Weak Solutions Degenerate LimitTarget Groups Researchers, academics and scholars in the field of (applied) mathematics Material scientists in the field of modeling damaging processes The Authors Christian Heinemann earned his doctoral degree at theHumboldt-Universitt zu Berlin under the supervision of Prof. Dr. Jrgen Sprekels and Dr. Christiane Kraus. He is a member of the research staff at the Young Scientists' Group at the Weierstrass Institute for Applied Analysis andStochastics in Berlin. Christiane Kraus is a leader of the Young Scientists' Group at the Weierstrass Institute for Applied Analysis and Stoc hastics in Berlin
Contents:Modeling of Phase Separation and Damage Processes
Notion of Weak Solutions
Existence of Weak Solutions
Degenerate Limit
ISBN:9783658052522
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Materials
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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-2014-9783642542718:ONLINE Show nearby items on shelf
Title:From Particle Systems to Partial Differential Equations [electronic resource] : Particle Systems and PDEs, Braga, Portugal, December 2012
Author(s): Cdric Bernardin
Patricia Gonalves
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th tothe 7th of December, 2 012. The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest research developments in those fields. Among the participants wereresearchers in probability, partial different ial equations and kinetics theory. The aim of the meeting was to present to a varied public the subject of interacting particle systems, its motivation from the viewpoint of physics and itsrelation with partial differential equations or kinetics theory, a nd to stimulate discussions and possibly new collaborations among researchers with different backgrounds. The book contains lecture notes written by Franois Golse onthe derivation of hydrodynamic equations (compressible and incompressible Euler and Navier -Stokes) from the Boltzmann equation, and several short papers written by some of the participants in the conference. Among the topics covered bythe short papers are hydrodynamic limits fluctuations phase transitions motions of shocks and antishocks in ex clusion processes large number asymptotics for systems with self-consistent coupling quasi-variational inequalities
Contents:Mini
Course: Fluid dynamic Limits of the Kinetic theory of gases : F. Golse
Short Papers: Stationary quasivariational inequalities with gradient constraint and nonhomogeneous boundary conditions:A. Azevedo, F. Miranda, and L. Santos
Shocks and antishocks in the ASEP conditioned on a low current: V. Belitsky and G.M. Schtz
Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise: C. Bernardin
Equilibrium fluctuations of additive functionals of zero
range models: C. Bernardin, P. Gonalves, and S. Sethuraman
A survey on Bogoliubov generating functiona
ISBN:9783642542718
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v75
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential equations, partial , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783642414015:ONLINE Show nearby items on shelf
Title:Partial Differential Equations: Theory, Control and Approximation [electronic resource] : In Honor of the Scientific Heritage of Jacques-Louis Lions
Author(s): Philippe G Ciarlet
Tatsien Li
Yvon Maday
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book collects papers mainly presented at the International Conference on Partial Differential Equations: Theory, Control and Approximation (May 28 to June1, 2012 in Shanghai) in honor of the scientific legacy of theexceptional mathematician Jacq ues-Louis Lions. The contributors are leading experts from all over the world, including members of the Academies of Sciences in France, the USA and China etc., and their papers cover key fields ofresearch, e.g. partial differential equations, control the ory and numerical analysis, that Jacques-Louis Lions created or contributed so much to establishing
Contents:Control and Nash Games with Mean Field Effect
The Rain on Underground Porous Media Part I: Analysis of a Richards Model
Finite Volume Multilevel Approximation of the Shallow Water Equations
Non
gaussian Test Models for Prediction and State Estimation with Model Errors
Asymptotic Analysis in a Gas
Solid Combustion Model with Pattern Formation
Implicit Sampling, with Application to Data Assimilation
Periodic Homogenization for Inner Boundary Conditions with Equi
valued Surfaces: the Unfolding Approach
Global Null Controllability of the 1
Dimensional Nonlinear Slow Diffusion
ISBN:9783642414015
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Numerical analysis , Mathematical optimization
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Call number:SPRINGER-2014-9783642401572:ONLINE Show nearby items on shelf
Title:Progress in Mathematical Relativity, Gravitation and Cosmology [electronic resource] : Proceedings of the Spanish Relativity Meeting ERE2012, University of Minho, Guimares, Portugal, September 3-7, 2012
Author(s): Alfonso Garca-Parrado
Filipe C Mena
Filipe Moura
Estelita Vaz
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held in Guimares, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, frommathematical cosmology, numeri cal relativity and black holes to string theory and quantum gravity. Under the title Progress in Mathematical Relativity, Gravitation and Cosmology, ERE 2012 was attended by an exceptionalinternational list of over a hundred participants from the five con tinents and over forty countries. ERE is organized every year by one of the Spanish or Portuguese groups working in this area and is supported by the Spanish Society ofGravitation and Relativity (SEGRE). This book will be of interest to researchers in mat hematics and physics
Contents:Part I Plenary sessions
Part II Parallel sessions
Part III Poster presentations
ISBN:9783642401572
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v60
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis , Global differential geometry , Mathematical physics
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Call number:SPRINGER-2014-9783642390074:ONLINE Show nearby items on shelf
Title:Hyperbolic Conservation Laws and Related Analysis with Applications [electronic resource] : Edinburgh, September 2011
Author(s): Gui-Qiang G Chen
Helge Holden
Kenneth H Karlsen
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey onmultidimensional systems of conserva tion laws as well as novel results on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation. Also included are articles on recent advances in theEuler equations and the Navier-Stokes-Fourier-Poisson system , in addition to new results on collective phenomena described by the Cucker-Smale model. The Workshop on Hyperbolic Conservation Laws and Related Analysis withApplications at the International Centre for Mathematical Sciences (Edinburgh, UK) held in Edi nburgh, September 2011, produced this fine collection of original research and survey articles. Many leading mathematicians attended theevent and submitted their contributions for this volume. It is addressed toresearchers and graduate students interested in partial differential equations and related analysis with applications.
Contents:Preface by G
Q. Chen, H. Holden, K. H. Karlsen
B. Andreianov: Semigroup Approach for Conservation Laws with Discontinuous Flux
F. Betancourt, R. Brger, R. Ruiz
Baier, H.Torres, C. A. Vega: On Numerical Methods for Hyperbolic Conservation Laws and Related Equations Modeling Sedimentation of Solid
liquid suspensions
L. Caravenna: SBV Regularity Results for Solutions to 1D Conservation Laws
N. Chemetov, W. Neves: Generalized Buckley
Leverett System
G
Q. Chen, M. Slemrod, D. Wang: Entropy, Elasticity, and the Isometric Embedding Problem: M^3\to\R^6
G
Q. Chen, W. Xiang: Exist
ISBN:9783642390074
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v49
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential equations, partial
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Call number:SPRINGER-2014-9783319063737:ONLINE Show nearby items on shelf
Title:Geometry of Manifolds with Non-negative Sectional Curvature [electronic resource] : Editors: Rafael Herrera, Luis Hernndez-Lamoneda
Author(s): Owen Dearricott
Fernando Galaz-Garca
Lee Kennard
Catherine Searle
Gregor Weingart
Wolfgang Ziller
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such asgeneral isometric grou p actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds,isoparametric hypersurfaces in spheres, contact C R and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems
Contents:Riemannian manifolds with positive sectional curvature
An introduction to isometric group actions
A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds
Lectures on n
Sasakian manifolds
On the Hopf conjecture with symmetry
An Introduction to Exterior Differential Systems
ISBN:9783319063737
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2110
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis , Global differential geometry , Cell aggregation Mathematics
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Call number:SPRINGER-2014-9783319062488:ONLINE Show nearby items on shelf
Title:Geometric Methods in Physics [electronic resource] : XXXII Workshop, Biaowiea, Poland, June 30-July 6, 2013
Author(s): Piotr Kielanowski
Pierre Bieliavsky
Alexander Odesskii
Anatol Odzijewicz
Martin Schlichenmaier
Theodore Voronov
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:The Biaowiea Workshops on Geometric Methods in Physics, which are hosted in the unique setting of the Biaowiea natural forest in Poland, are among the most important meetings in the field. Every year some 80 to 100participants from both the mathemati cs and physics world join to discuss new developments and to exchange ideas. The current volume was produced on the occasion of the 32nd meeting in 2013. It is now becoming a tradition that theWorkshop is followed by a School on Geometry and Physics, whic h consists of advanced lectures for graduate students and young researchers. Selected speakers at the 2013 Workshop were asked to contribute to this book, and their work wassupplemented by additional review articles. The selection shows that, despite its now long tradition, the workshop remains at the cutting edge of research. The 2013 Workshop also celebrated the 75th birthday of Daniel Sternheimer, andon this occasion the discussion mainly focused on his contributions to mathematical physics such as def ormation quantization, Poisson geometry, symplectic geometry and non-commutative differential geometry
Contents:Preface
Part I: Deformation, Quantization: Scientific Landmarks of Daniel Sternheimer
Part II: Quantum Mechanics
Part III: Groups and Non
commutative Structures
Part IV: Differential Equations and Special Functions
Part V: General Methods
ISBN:9783319062488
Series:eBooks
Series:SpringerLink
Series:Trends in Mathematics, 2297-0215
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Global analysis
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Call number:SPRINGER-2014-9783319060743:ONLINE Show nearby items on shelf
Title:Functional Analysis and Applied Optimization in Banach Spaces [electronic resource] : Applications to Non-Convex Variational Models
Author(s): Fabio Botelho
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physicsand engineering probl ems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation.Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dualapproach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in relatedfields
Contents:1. Topological Vector Spaces
2. The Hahn
Bananch Theorems and Weak Topologies
3. Topics on Linear Operators
4.Basic Results on Measure and Integration
5. The Lebesgue Measure in Rn
6. Other Topics in Measure and Integration
7. Distributions
8. The Lebesque and Sobolev Spaces
9. Basic Concepts on the Calculus of Variations
10. Basic Concepts on Convex Analysis
11. Constrained Variational Analysis
12. Duality Applied to Elasticity
13. Duality Applied to a Plate Model
14. About Ginzburg
Landau Type Equations: The Simpler Real Case
15. Full Complex Ginzb
ISBN:9783319060743
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Functional analysis , Numerical analysis
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Call number:SPRINGER-2014-9783319052540:ONLINE Show nearby items on shelf
Title:Trends in Contemporary Mathematics [electronic resource]
Author(s): Vincenzo Ancona
Elisabetta Strickland
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book covers a wide spectrum of hot topics and current trends in mathematics, including noncommutative algebra via deformation theory, optimal transportation, nonlinear potential theory,kinetic theory and gas dynamics,geometric numerical integrat ion, finite simple groups of small essential dimension, optimal control problems, extended Dynkin diagrams, spin glasses, aspherical closed manifolds, Boltzmann systems, birational geometry of projectivevarieties and directed graphs, nonlinear diffusion, geometric constructions of extremal metrics on complex manifolds, and Pells equation in polynomials. The book comprises a selection of contributions by leading internationalmathematicians who were speakers at the INdAM Day, an initiative dating back to 20 04 at which the most recent developments in contemporary mathematics are presented
Contents:1 F. Guerra: Interpolation and comparison methods in the mean field spin glass model
2 A. De Sole, V.G. Kac, D. Valeri: Integrability of dirac reduced Bi
Hamiltonian equations
3 W. Luck: Some open problems about aspherical closed manifolds abstract
4 P. Etingof: Exploring noncommutative algebras via deformation theory
5 G. Lancia: Mathematical models and solutions for the analysis of human genotypes
6 M. Manetti: Kodaira
Spencer formality of products of complex manifolds
7 O. Debarre, B. Lass: Monomial transformations of the projective space
8 J.L. Vazquez: Progress in the
ISBN:9783319052540
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Global analysis (Mathematics) , Differential equations, partial , Computer science Mathematics
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Call number:SPRINGER-2014-9783319048079:ONLINE Show nearby items on shelf
Title:Analytic and Probabilistic Approaches to Dynamics in Negative Curvature [electronic resource]
Author(s): Franoise Dal'Bo
Marc Peign
Andrea Sambusetti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The work of E. Hopf and G.A. Hedlund, in the 1930s, on transitivity and ergodicity of the geodesic flow for hyperbolic surfaces, marked the beginning of the investigation of the statistical properties and stochastic behavior ofthe flow. The first cen tral limit theorem for the geodesic flow was proved in the 1960s by Y. Sinai for compact hyperbolic manifolds. Since then, strong relationships have been found between the fields of ergodic theory, analysis, andgeometry. Different approaches and new tools have been developed to study the geodesic flow, including measure theory, thermodynamic formalism, transfer operators, Laplace operators, and Brownian motion. All these different points ofview have led to a deep understanding of more general dynamical sy stems, in particular the so-called Anosov systems, with applications to geometric problems such as counting, equirepartition, mixing, and recurrence properties of theorbits. This book comprises two independent texts that provide a self-contained introduct ion to two different approaches to the investigation of hyperbolic dynamics. The first text, by S. Le Borgne, explains the method of martingalesfor the central limit theorem. This approach can be used in several situations, even for weakly hyperbolic flow s, and the author presents a good number of examples and applications to equirepartition and mixing. The second text, by F.Faure and M. Tsujii, concerns the semiclassical approach, by operator theory: chaotic dynamics is described through the spectrum of the associated transfer operator, with applications to the asymptotic counting of periodic orbits. Thebook will be of interest for a broad audience, from PhD and Post-Doc students to experts working on geometry and dynamics
ISBN:9783319048079
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Operator theory , Global differential geometry , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319048048:ONLINE Show nearby items on shelf
Title:Sub-Riemannian Geometry and Optimal Transport [electronic resource]
Author(s): Ludovic Rifford
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Thebook provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all theproofs of the stated resul ts, leads the reader step by step from the notion of distribution at the very beginning to the existence of optimal transport maps for Lipschitz sub-Riemannian structure.The combination of geometry presentedfrom an analytic point of view and of optimal tr ansport, makes the book interesting for a very large community. This set of notes grew from a series of lectures given by the author during a CIMPA school in Beirut, Lebanon
Contents:1 Sub
Riemannian structures
2 Sub
Riemannian geodesics
3 Introduction to optimal transport
Appendix AOrdinary differential equations
Appendix BElements of differential calculus
References
ISBN:9783319048048
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Systems theory , Global differential geometry , Mathematical optimization
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Call number:SPRINGER-2014-9783319041476:ONLINE Show nearby items on shelf
Title:Networks and Network Analysis for Defence and Security [electronic resource]
Author(s): Anthony J Masys
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Networks and Network Analysis for Defence and Security discusses relevant theoretical frameworks and applications of network analysis in support of the defence and security domains. This book details real world applications ofnetwork analysis to supp ort defence and security. Shocks to regional, national and global systems stemming from natural hazards, acts of armed violence, terrorism and serious and organized crime have significant defence and securityimplications. Today, nations face an uncertain and complex security landscape in which threats impact/target the physical, social, economic and cyber domains. Threats to national security, such as that against critical infrastructuresnot only stem from man-made acts but also from natural hazards. Katr ina (2005), Fukushima (2011) and Hurricane Sandy (2012) are examples highlighting the vulnerability of critical infrastructures to natural hazards and the cripplingeffect they have on the social and economic well-being of a community and a nation. With th is dynamic and complex threat landscape, network analysis has emerged as a key enabler in supporting defence and security. With the advent ofbig data and increasing processing power, network analysis can reveal insights with regards to structural and dyna mic properties thereby facilitating greater understanding of complex networks, their entities, interdependencies,vulnerabilities to produce insights for creative solutions. This book will be well positioned to inform defence, security and intelligence pro fessionals and researchers with regards to leading methodologies and approaches
Contents:Network Analysis in Criminal Intelligence
Identifying mafia Bosses from Meeting Attendance
Macrosocial Network Analysis: the Case of Transnational Drug Trafficking
Policing the Hackers by Hacking them: Studying Online Deviants in IRC Chat Rooms
Why Terror Networks are Dissimilar: How Structure Relates to Functions
Social Network Analysis Applied to Criminal Networks: Recent Developments in Dutch Law Enforcement
The Networked Mind
Collective Identities and the Cognitive
Affective Nature of Conflict
Conflict Cessation and the Emergence of Weapons Supermarkets
A Conspirac
ISBN:9783319041476
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Social Networks, 2190-5428
Series:Physics and Astronomy (Springer-11651)
Keywords: Social sciences Data processing , Mathematics , Criminology
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Call number:SPRINGER-2014-9783319040998:ONLINE Show nearby items on shelf
Title:Topological Methods in Data Analysis and Visualization III [electronic resource] : Theory, Algorithms, and Applications
Author(s): Peer-Timo Bremer
Ingrid Hotz
Valerio Pascucci
Ronald Peikert
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms andinsights, including fast homo logy computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as therepresentation of large and complex datasets and integrati ng numerical methods with robust combinatorial algorithms. Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made onfinding experimental solutions to open problems in the sector. They provide an i nclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for futureprogress. With papers by some of the worlds leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range fromengineering to medicine
Contents:Part I Robust Topological Analysis: 1 Robust Detection of Singularities in Vector Fields: H. Bhatia, A. Gyulassy, H. Wang, P
T. Bremer and V. Pascucci
2 Interpreting Feature Tracking Through the Lens of Robustness: P. Skraba and B. Wang
3 Simplification of Morse Decompositions using Morse Set Mergers: L. Sipeki and A. Szymczak
4 Toward the Extraction of Saddle Periodic Orbits: J. Kasten, J. Reininghaus, W. Reich and G. Scheuermann
Part II Efficient Computation of Topology
5 Computational Topology via Functional Programming: A Baseline Analysis: D. Duke and H. Carr
6 Distribu
ISBN:9783319040998
Series:eBooks
Series:SpringerLink
Series:Mathematics and Visualization, 1612-3786
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Optical pattern recognition , Global analysis (Mathematics) , Visualization , Geometry , Topology
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Call number:SPRINGER-2014-9783319035123:ONLINE Show nearby items on shelf
Title:Modern Stochastics and Applications [electronic resource]
Author(s): Volodymyr Korolyuk
Nikolaos Limnios
Yuliya Mishura
Lyudmyla Sakhno
Georgiy Shevchenko
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume presents an extensive overview of all major modern trends in applications of probability and stochastic analysis. It will be a great source of inspiration for designing new algorithms, modeling procedures, andexperiments. Accessible to re searchers, practitioners, as well as graduate and postgraduate students, this volume presents a variety of new tools, ideas, and methodologies in the fields of optimization, physics, finance, probability,hydrodynamics, reliability, decision making, mathem atical finance, mathematical physics, and economics. Contributions to this Work include those of selected speakers from the international conference entitled Modern Stochastics:Theory and Applications III, held on September 10 14, 2012 at Taras Shevchenko National University of Kyiv, Ukraine. The conference covered the following areas of research in probability theory and its applications: stochasticanalysis, stochastic processes and fields, random matrices, optimization methods in probability, stochastic models of evolution systems, financial mathematics, risk processes and actuarial mathematics, and information security.
Contents:Part I: Probability Distributions in Applications
Comparing Brownian stochastic integrals for the convex order (Yor, Hirsch)
Application of
sub
Gaussian random processes in queueing theory (Kozachenko, Yamnenko)
A review on time
changed pseudo processes and the related distributions (Orsingher)
Reciprocal processes: a stochastic analysis approach (Roelly). Part II: Stochastic Equations
Probabilistic counterparts of nonlinear parabolic PDE systems (Belopolskaya)
Finite
time blowup and existence of global positive solutions of semilinear SPDEs with fractional noise (Dozzi,
ISBN:9783319035123
Series:eBooks
Series:SpringerLink
Series:Springer Optimization and Its Applications, 1931-6828 : v90
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Information systems , Matrix theory , Finance , Mathematical optimization , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319031736:ONLINE Show nearby items on shelf
Title:Lectures on Mappings of Finite Distortion [electronic resource]
Author(s): Stanislav Hencl
Pekka Koskela
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuityproperties, behavior of ou r mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects
Contents:Introduction
Continuity
Openness and discreteness
Images and preimages of null sets
Homeomorphisms of finite distortion
Integrability of Jf and 1/Jf
Final comments
Appendix
References
ISBN:9783319031736
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2096
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Functions of complex variables , Differential equations, partial
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Call number:SPRINGER-2014-9783319027654:ONLINE Show nearby items on shelf
Title:Convergence Estimates in Approximation Theory [electronic resource]
Author(s): Vijay Gupta
Ravi P Agarwal
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on theconvergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In this volume, authors Gupta and Agarwal explore new andmore efficient methods of applying this research to studies in Optimization and Analysis. The text will be of interest to upper-level students seeking an introduction to the field and to researchers developing innovative approaches
Contents:1.Preliminaries
2. Approximation by Certain Operators
3. Complete Asymptotic Expansion
4. Linear and Iterative Combinations
5. Better Approximation
6. Complex Operators in Compact Disks
7. Rate of Convergence for Functions of BV
8. Convergence for BV/Bounded Functions on Bezier Variants
9. Some More Results on Rate of Convergence
10. Rate of Convergence in Simultaneous Approximation
11. Future Scope and Open Problems
ISBN:9783319027654
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Operator theory , Differential equations, partial
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Call number:SPRINGER-2014-9783319025506:ONLINE Show nearby items on shelf
Title:Fourier Analysis [electronic resource] : Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations
Author(s): Michael Ruzhansky
Ville Turunen
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, andtime-frequency analysis. This coll ection of 20 refereed articles is based on selected talksgiven at the international conference Fourier Analysis and Pseudo-Differential Operators, June 2530, 2012, at Aalto University,Finland, and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012 it was also the 6th meeting in the series FourierAnalysis and Partial Differential Equations.
Contents:Preface
Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G.Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B
W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian.
ISBN:9783319025506
Series:eBooks
Series:SpringerLink
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Global analysis , Operator theory , Differential equations, partial , Sequences (Mathematics)
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Call number:SPRINGER-2014-9783319021324:ONLINE Show nearby items on shelf
Title:Geometric Control Theory and Sub-Riemannian Geometry [electronic resource]
Author(s): Gianna Stefani
Ugo Boscain
Jean-Paul Gauthier
Andrey Sarychev
Mario Sigalotti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry.On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language forstudying controllability, mot ion planning,stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand,Riemannian geometry and its generalizations, such a s sub-Riemannian, Finslerian geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods has led to importantresults regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannianstructures, regularity of the Hausdorff volume
Contents:1 A. A. Agrachev
Some open problems
2 D. Barilari, A. Lerario
Geometry of Maslov cycles
3 Y. Baryshnikov, B. Shapiro
How to Run a Centipede: a Topological Perspective
4 B. Bonnard, O. Cots, L. Jassionnesse
Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces
5 J
B. Caillau, C. Royer
On the injectivity and nonfocal domains of the ellipsoid of revolution
6 P. Cannarsa, R. Guglielmi
Null controllability in large time for the parabolic Grushin operator with singular potential
7 Y. Chitour, M. Godoy Molina, P. Kokkonen
The rolli
ISBN:9783319021324
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v5
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis , Global differential geometry , Mathematical optimization
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Call number:SPRINGER-2014-9783319021294:ONLINE Show nearby items on shelf
Title:A Textbook on Ordinary Differential Equations [electronic resource]
Author(s): Shair Ahmad
Antonio Ambrosetti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises the reader will also find a set of solutions of selected exercises. The book contains many interestingexamples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and itsapplications. The work is mainly addressed to stud ents of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments,such as Laplace transform Stability theory and existence of solutions to Bo undary Value problems. The authors are preparing a complete solutions manual, containing solutions to all the exercises published in the book. The manual willbe available Summer 2014. Instructors who wish to adopt the book may request the manual by writin g directly to one of the authors
Contents:1 First order linear differential equations
2 Theory of first order differential equations
3 First order nonlinear differential equations
4 Existence and uniqueness for systems and higher order equations
5 Second Order Equations
6 Higher Order Linear Equations
7 Systems of First Order Equations
8 Qualitative analysis of 22 systems and nonlinear second order equations
9 Sturm Liouville eigenvalue theory
10 Solutions by infinite series and Bessel functions
11 Laplace transform
12 Stability Theory
13 Boundary Value problems
Appendix A. Numerical methods
ISBN:9783319021294
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v73
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Numerical analysis
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Call number:SPRINGER-2014-9783319020877:ONLINE Show nearby items on shelf
Title:An Invitation to Hypoelliptic Operators and Hrmander's Vector Fields [electronic resource]
Author(s): Marco Bramanti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Hrmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active fieldof research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines of development
Contents:1 Hrmander's operators: what they are
2 Hrmander's operators: why they are studied
3 A priori estimates in Sobolev spaces
4 Geometry of Hrmander's vector fields
5 Beyond Hrmander's operators
ISBN:9783319020877
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Operator theory , Differential equations, partial
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Call number:SPRINGER-2014-9783319019826:ONLINE Show nearby items on shelf
Title:Local Minimization, Variational Evolution and -Convergence [electronic resource]
Author(s): Andrea Braides
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variational evolution. It explores the links between Gamma-limits, quasistatic evolution,gradient flows and s table points, raising new questions and proposing new techniques. These include the definition of effective energies that maintain the pattern of local minima, the introduction of notions of convergence of energiescompatible with stable points, the comput ation of homogenized motions at critical time-scales through the definition of minimizing movement along a sequence of energies, the use of scaled energies to study long-term behavior orbackward motion for variational evolutions. The notions explored in t he book are linked to existing findings for gradient flows, energetic solutions and local minimizers, for which some generalizations are also proposed
Contents:Introduction
Global minimization
Parameterized motion driven by global minimization
Local minimization as a selection criterion
Convergence of local minimizers
Small
scale stability
Minimizing movements
Minimizing movements along a sequence of functionals
Geometric minimizing movements
Different time scales
Stability theorems
Index
ISBN:9783319019826
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2094
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Mathematical optimization
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Call number:SPRINGER-2014-9783319018188:ONLINE Show nearby items on shelf
Title:Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations [electronic resource] : 2012 John H Barrett Memorial Lectures
Author(s): Xiaobing Feng
Ohannes Karakashian
Yulong Xing
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, eachrepresenting a particular the me or direction of current research. Derived from the 2012 Barrett Lectures at the University of Tennessee, the papers reflect the state of the field today and point toward possibilities for futureinquiry. The longer survey lectures, delivered by Franco B rezzi and Chi-Wang Shu, respectively, focus on theoretical aspects of discontinuous Galerkin methods for elliptic and evolution problems. Other papers apply DG methods to casesinvolving radiative transport equations, error estimates, and time-discrete hig her order ALE functions, among other areas. Combining focused case studies with longer sections of expository discussion, this book will be anindispensable reference for researchers and students working with discontinuous Galerkin finite element methods a nd its applications.
Contents:A quick tutorial on discontinuous Galerkin methods for elliptic problems
Discontinuous Galerkin methods for time dependent problems: survey and recent developments
Adaptivity and error estimation for discontinuous Galerkin methods
$C^0$ interior penalty methods for 4th order problems
Devising superconvergent discontinuous Galerkin methods
A local time stepping Runge
Kutta discontinuous Galerkin method for hurricane storm surge modeling
An overview of the discontinuous Petrov
Galerkin method
Discontinuous Galerkin methods for radiative transport equations
Error control f
ISBN:9783319018188
Series:eBooks
Series:SpringerLink
Series:The IMA Volumes in Mathematics and its Applications, 0940-6573 : v157
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential equations, partial , Numerical analysis
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Call number:SPRINGER-2014-9783319017211:ONLINE Show nearby items on shelf
Title:Modal Interval Analysis [electronic resource] : New Tools for Numerical Information
Author(s): Miguel A Sainz
Joaquim Armengol
Remei Calm
Pau Herrero
Lambert Jorba
Josep Vehi
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book presents an innovative new approach to interval analysis. Modal Interval Analysis (MIA) is an attempt to go beyond the limitations of classic intervals in terms of their structural, algebraic and logical features. Thestarting point of MIA i s quite simple: It consists in defining a modal interval that attaches a quantifier to a classical interval and in introducing the basic relation of inclusion between modal intervalsby means ofthe inclusionof the sets of predicates they accept. This modal approach introduces interval extensions of the real continuous functions, identifies equivalences between logical formulas and interval inclusions, and provides the semantic theoremsthat justify these equivalences, along with guidelines for arriving at t hese inclusions. Applications of these equivalences in different areas illustrate the obtained results. The book also presents a new interval object: marks, whichaspire to be a new form of numerical treatment of errors in measurements and computations
Contents:Intervals
Modal Intervals
Modal interval extensions
Interpretability and optimality
Interval arithmetic
Equations and systems
Twins and f
star algorithm
Marks
Intervals of marks
Some related problems
ISBN:9783319017211
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2091
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Global analysis (Mathematics)
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Call number:SPRINGER-2014-9783319015866:ONLINE Show nearby items on shelf
Title:Topics in Fixed Point Theory [electronic resource]
Author(s): Saleh Almezel
Qamrul Hasan Ansari
Mohamed Amine Khamsi
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to theirown work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixedpoint theory and the underlying spaces. The leve l of exposition is directed to a wide audience, including students and established researchers. Key topics covered include Banach contraction theorem, hyperconvex metric spaces, modularfunction spaces, fixed point theory in ordered sets, topological fixed point theory for set-valued maps, coincidence theorems, Lefschetz and Nielsen theories, systems of nonlinear inequalities, iterative methods for fixed pointproblems, and the Ekelands variational principle
Contents:1 Introduction to Metric Fixed Point Theory. M.A. Khamsi
2Banach Contraction Principle and its Generalizations. Abdul Latif
3Ekelands Variational Principle and Its Extensions with Applications. Qamrul Hasan Ansari
4 Fixed Point Theory in Hyperconvex Metric Spaces.Rafael Espnola and Aurora Fernndez
Len
5An Introduction to Fixed Point Theory in Modular Function Spaces.W. M. Kozlowski
6Fixed Point Theory in Ordered Sets from the Metric Point of View.M. Z. Abu
Sbeih andM. A. Khamsi
7Some Fundamental Topological Fixed Point Theorems for Set
Valued Maps
ISBN:9783319015866
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Operator theory , Mathematical optimization
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Call number:SPRINGER-2014-9783319002279:ONLINE Show nearby items on shelf
Title:Analysis and Geometry of Markov Diffusion Operators [electronic resource]
Author(s): Dominique Bakry
Ivan Gentil
Michel Ledoux
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence toequilibrium, spectral bound s, functional inequalities such as Poincar, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution andpartial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results andtechniques from the early developments in the mid-eighties to the latest achie vements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analyticfunctional inequalities, probabilistic convergence to equilibrium and geometric curvature will find i t especially useful. Selected chapters can also be used for advanced courses on the topic
Contents:Introduction
Part I Markov semigroups, basics and examples: 1.Markov semigroups
2.Model examples
3.General setting
Part II Three model functional inequalities: 4.Poincar inequalities
5.Logarithmic Sobolev inequalities
6.Sobolev inequalities
Part III Related functional, isoperimetric and transportation inequalities: 7.Generalized functional inequalities
8.Capacity and isoperimetry
type inequalities
9.Optimal transportation and functional inequalities
Part IV Appendices: A.Semigroups of bounded operators on a Banach space
B.Elements of stochastic calculus
C
ISBN:9783319002279
Series:eBooks
Series:SpringerLink
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v348
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Global differential geometry , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783034805100:ONLINE Show nearby items on shelf
Title:The Localization Problem in Index Theory of Elliptic Operators [electronic resource]
Author(s): Vladimir Nazaikinskii
Bert-Wolfgang Schulze
Boris Sternin
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actuallya fundamental localiz ation principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of important newproblems in index theory. So far, the loca lization principle has scarcely been covered in journal papers. The present book is intended to fill this gap. Both the general localization principle and its applications to specific problems,old and new, are covered. Concisely and clearly written, this monograph includes numerous figures helping the reader to visualize the material. The Localization Problem in Index Theory of Elliptic Operators will be of interest toresearchers as well as graduate and postgraduate students specializing in differential e quations and related topics
Contents:Preface
Introduction
0.1 Basics of Elliptic Theory
0.2 Surgery and the Superposition Principle
0.3 Examples and Applications
0.4 Bibliographical Remarks
Part I: Superposition Principle
1 Superposition Principle for the Relative Index
1.1 Collar Spaces
1.2 Proper Operators and Fredholm Operators
1.3 Superposition Principle
2 Superposition Principle for K
Homology
2.1 Preliminaries
2.2 Fredholm Modules and K
Homology
2.3 Superposition Principle
2.4 Fredholm Modules and Elliptic Operators
3 Superposition Principle for KK
Theory
3.1 Preliminaries
ISBN:9783034805100
Series:eBooks
Series:SpringerLink
Series:Pseudo-Differential Operators, Theory and Applications : v10
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , K-theory , Functional analysis , Global analysis , Differential equations, partial
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Call number:SPRINGER-2014-9781493910373:ONLINE Show nearby items on shelf
Title:Implicit Functions and Solution Mappings [electronic resource] : A View from Variational Analysis
Author(s): Asen L Dontchev
R. Tyrrell Rockafellar
Date:2014
Edition:2nd ed. 2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions andSolution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. Thepurpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sectionsin almost all chapters, new exercises and examples, updated commentarie s to chapters and an enlarged index and references section. From reviews of the first edition: The book commences with a helpful context-setting preface followedby six chapters. Each chapter starts with a useful preamble and concludes with a careful and i nstructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study. I unreservedlyrecommended this book to all practitioners and graduate students interested in modern optimization theory or control th eory or to those just engaged by beautiful analysis cleanly described. (Jonathan Michael Borwein, IEEE ControlSystems Magazine, February, 2012) This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems. The book is targeted to a broad audience ofresearchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacentbranches and also by specialists in mechanics, physics, engineering, economics, and so on. (Peter Zabreiko, Zentralblatt MATH,
Contents:Introduction and equation
solving background
Solution mappings for variational problems
Set
valued analysis of solution mappings
Regularity properties through generalized derivatives
Metric regularity in infinite dimensions
Applications in numerical variational analysis
ISBN:9781493910373
Series:eBooks
Series:SpringerLink
Series:Springer Series in Operations Research and Financial Engineering, 1431-8598
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Numerical analysis , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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