Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

✍ Scribed by Ernst Hairer, Gerhard Wanner, Christian Lubich (auth.)

Publisher: Springer Berlin Heidelberg
Year: 2002
Tongue: English
Leaves: 525
Series: Springer Series in Computational Mathematics 31
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Front Matter....Pages i-xiii
Examples and Numerical Experiments....Pages 1-22
Numerical Integrators....Pages 23-46
Order Conditions, Trees and B-Series....Pages 47-92
Conservation of First Integrals and Methods on Manifolds....Pages 93-130
Symmetric Integration and Reversibility....Pages 131-166
Symplectic Integration of Hamiltonian Systems....Pages 167-208
Further Topics in Structure Preservation....Pages 209-254
Structure-Preserving Implementation....Pages 255-286
Backward Error Analysis and Structure Preservation....Pages 287-326
Hamiltonian Perturbation Theory and Symplectic Integrators....Pages 327-374
Reversible Perturbation Theory and Symmetric Integrators....Pages 375-390
Dissipatively Perturbed Hamiltonian and Reversible Systems....Pages 391-406
Highly Oscillatory Differential Equations....Pages 407-453
Dynamics of Multistep Methods....Pages 455-491
Back Matter....Pages 493-515

✦ Subjects

Numerical Analysis;Analysis;Theoretical, Mathematical and Computational Physics;Mathematical Methods in Physics;Numerical and Computational Physics;Mathematical and Computational Biology

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