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1. Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
by Larisa Beilina, Michael Victor Klibanov
出版情報: Boston, MA : Springer US, 2012
オンライン: http://dx.doi.org/10.1007/978-1-4419-7805-9
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2. Geography of Order and Chaos in Mechanics : Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools
by Bruno Cordani
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Progress in Mathematical Physics ; 64
オンライン: http://dx.doi.org/10.1007/978-0-8176-8370-2
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Preface
List of Figures
1 Introductory Survey
2 Analytical Mechanics and Integrable Systems
3 Perturbation Theory
4 Numerical Tools I: ODE Integration
5 Numerical Tools II: Detecting Order, Chaos, and Resonances
6 The Kepler Problem
7 The KEPLER Program
8 Some Perturbed Keplerian Systems
9 The Multi-Body Gravitational Problem
Bibliography
Index
Preface
List of Figures
1 Introductory Survey
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3. The Courant–Friedrichs–Lewy (CFL) Condition : 80 Years After Its Discovery
edited by Carlos A. de Moura, Carlos S. Kubrusly
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
オンライン: http://dx.doi.org/10.1007/978-0-8176-8394-8
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Foreword
Stability of Different Schemes
Mathematical Intuition: Poincaré, Pólya, Dewey.- Three-dimensional Plasma Arc Simulation using Resistive MHD
A Numerical Algorithm for Ambrosetti-Prodi Type Operators
On the Quadratic Finite Element Approximation of 1-D Waves: Propagation, Observation, Control, and Numerical Implementation
Space-Time Adaptive Mutilresolution Techniques for Compressible Euler Equations
A Framework for Late-time/stiff Relaxation Asymptotics
Is the CFL Condition Sufficient? Some Remarks
Fast Chaotic Artificial Time Integration
Appendix A
Hans Lewy's Recovered String Trio
Appendix B
Appendix C
Appendix D.
Foreword
Stability of Different Schemes
Mathematical Intuition: Poincaré, Pólya, Dewey.- Three-dimensional Plasma Arc Simulation using Resistive MHD
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4. Computing Qualitatively Correct Approximations of Balance Laws : Exponential-Fit, Well-Balanced and Asymptotic-Preserving
by Laurent Gosse
出版情報: Milano : Springer Milan : Imprint: Springer, 2013
シリーズ名: SIMAI Springer Series ; 2
オンライン: http://dx.doi.org/10.1007/978-88-470-2892-0
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Introduction and chronological perspective
Lifting a non-resonant scalar balance law
Lyapunov functional for linear error estimates
Early well-balanced derivations for various systems
Viscosity solutions and large-time behavior for non-resonant balance laws
Kinetic scheme with reflections and linear geometric optics
Material variables, strings and infinite domains
The special case of 2-velocity kinetic models
Elementary solutions and analytical discrete-ordinates for radiative transfer
Aggregation phenomena with kinetic models of chemotaxis dynamics
Time-stabilization on flat currents with non-degenerate Boltzmann-Poisson models
Klein-Kramers equation and Burgers/Fokker-Planck model of spray
A model for scattering of forward-peaked beams
Linearized BGK model of heat transfer
Balances in two dimensions: kinetic semiconductor equations again
Non-conservative products and locally Lipschitzian paths
A tiny step toward hypocoercivity estimates for well-balanced schemes on 2x2 models
Preliminary analysis of the errors for Vlasov-BGK
Introduction and chronological perspective
Lifting a non-resonant scalar balance law
Lyapunov functional for linear error estimates
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5. Questions About Elastic Waves
by Jüri Engelbrecht
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
オンライン: http://dx.doi.org/10.1007/978-3-319-14791-8
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1 Introduction— What is all that about?
  2 What is wave motion
3 How to model waves?
4 What are internal variables? Arkadi Berezovski answers
5 What are evolution equations? . 6 What physical effects are involved? - 7 What physical mechanisms govern waves in non-conservative systems? - 8 What is complexity of waves? - References
Index
1 Introduction— What is all that about?
  2 What is wave motion
3 How to model waves?
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6. Error Estimates for Well-Balanced Schemes on Simple Balance Laws : One-Dimensional Position-Dependent Models. 1st ed. 2015
by Debora Amadori, Laurent Gosse
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-24785-4
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1 Introduction
2 Local and global error estimates
3 Position-dependent scalar balance laws
4 Lyapunov functional for inertial approximations
5 Entropy dissipation and comparison with Lyapunov estimates
6 Conclusion and outlook
1 Introduction
2 Local and global error estimates
3 Position-dependent scalar balance laws
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7. Partial Differential Equations. Second Edition
by Jürgen Jost
出版情報: New York, NY : Springer-Verlag New York, 2007
シリーズ名: Graduate Texts in Mathematics ; 214
オンライン: http://dx.doi.org/10.1007/978-0-387-49319-0
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