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1. Local Minimization, Variational Evolution and Γ-Convergence
by Andrea Braides
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2094
オンライン: http://dx.doi.org/10.1007/978-3-319-01982-6
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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
Introduction
Global minimization
Parameterized motion driven by global minimization
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2. Green's Kernels and Meso-Scale Approximations in Perforated Domains
by Vladimir Maz'ya, Alexander Movchan, Michael Nieves
出版情報: Heidelberg : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2077
オンライン: http://dx.doi.org/10.1007/978-3-319-00357-3
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Part I: Green’s functions in singularly perturbed domains: Uniform asymptotic formulae for Green’s functions for the Laplacian in domains with small perforations
Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green’s kernels
Green’s function for the Dirichlet boundary value problem in a domain with several inclusions
Numerical simulations based on the asymptotic approximations
Other examples of asymptotic approximations of Green’s functions in singularly perturbed domains
Part II: Green’s tensors for vector elasticity in bodies with small defects: Green’s tensor for the Dirichlet boundary value problem in a domain with a single inclusion
Green’s tensor in bodies with multiple rigid inclusions
Green’s tensor for the mixed boundary value problem in a domain with a small hole
Part III Meso-scale approximations. Asymptotic treatment of perforated domains without homogenization: Meso-scale approximations for solutions of Dirichlet problems
Mixed boundary value problems in multiply-perforated domains
Part I: Green’s functions in singularly perturbed domains: Uniform asymptotic formulae for Green’s functions for the Laplacian in domains with small perforations
Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green’s kernels
Green’s function for the Dirichlet boundary value problem in a domain with several inclusions
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3. Introduction to Stokes Structures
by Claude Sabbah
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2060
オンライン: http://dx.doi.org/10.1007/978-3-642-31695-1
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4. Composite Asymptotic Expansions
by Augustin Fruchard, Reinhard Schäfke
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2066
オンライン: http://dx.doi.org/10.1007/978-3-642-34035-2
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Four Introductory Examples
Composite Asymptotic Expansions: General Study
Composite Asymptotic Expansions: Gevrey Theory
A Theorem of Ramis-Sibuya Type
Composite Expansions and Singularly Perturbed Differential Equations
Applications
Historical Remarks
References
Index
Four Introductory Examples
Composite Asymptotic Expansions: General Study
Composite Asymptotic Expansions: Gevrey Theory
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5. Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
by Kendall Atkinson, Weimin Han
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2044
オンライン: http://dx.doi.org/10.1007/978-3-642-25983-8
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1 Preliminaries
2 Spherical Harmonics
3 Differentiation and Integration over the Sphere
4 Approximation Theory
5 Numerical Quadrature
6 Applications: Spectral Methods
1 Preliminaries
2 Spherical Harmonics
3 Differentiation and Integration over the Sphere
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6. Eigenvalues, Embeddings and Generalised Trigonometric Functions
by Jan Lang, David Edmunds
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2016
オンライン: http://dx.doi.org/10.1007/978-3-642-18429-1
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7. Regularity and Approximability of Electronic Wave Functions
by Harry Yserentant
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 2000
オンライン: http://dx.doi.org/10.1007/978-3-642-12248-4
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and Outline
Fourier Analysis
The Basics of Quantum Mechanics
The Electronic Schrödinger Equation
Spectrum and Exponential Decay
Existence and Decay of Mixed Derivatives
Eigenfunction Expansions
Convergence Rates and Complexity Bounds
The Radial-Angular Decomposition
and Outline
Fourier Analysis
The Basics of Quantum Mechanics
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8. Harmonic Analysis on Spaces of Homogeneous Type
by Donggao Deng, Yongsheng Han ; edited by J. -M. Morel, F. Takens, B. Teissier
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1966
オンライン: http://dx.doi.org/10.1007/978-3-540-88745-4
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9. Pseudo-Differential Operators : Quantization and Signals
by Hans G. Feichtinger, Bernard Helffer, Michael P. Lamoureux, Nicolas Lerner, Joachim Toft ; edited by J. -M. Morel, F. Takens, B. Teissier, Luigi Rodino, M. W. Wong
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1949
オンライン: http://dx.doi.org/10.1007/978-3-540-68268-4
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10. Construction of Global Lyapunov Functions Using Radial Basis Functions
by Peter Giesl
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1904
オンライン: http://dx.doi.org/10.1007/978-3-540-69909-5
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