Blick ins Buch

Geometric Numerical Integration

Structure-Preserving Algorithms for Ordinary Differential Equations

Ernst Hairer, Christian Lubich, Gerhard Wanner (Autoren)

Buch | Hardcover

XVI, 644 Seiten

2006 | 2nd ed. 2006
Springer Berlin (Verlag)
9783540306634 (ISBN)

Lese- und Medienproben

Inhaltsverzeichnis (PDF)

Artikel merken

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions.

Examples and Numerical Experiments.- Numerical Integrators.- Order Conditions, Trees and B-Series.- Conservation of First Integrals and Methods on Manifolds.- Symmetric Integration and Reversibility.- Symplectic Integration of Hamiltonian Systems.- Non-Canonical Hamiltonian Systems.- Structure-Preserving Implementation.- Backward Error Analysis and Structure Preservation.- Hamiltonian Perturbation Theory and Symplectic Integrators.- Reversible Perturbation Theory and Symmetric Integrators.- Dissipatively Perturbed Hamiltonian and Reversible Systems.- Oscillatory Differential Equations with Constant High Frequencies.- Oscillatory Differential Equations with Varying High Frequencies.- Dynamics of Multistep Methods.

Erscheint lt. Verlag	22.2.2006
Reihe/Serie	Springer Series in Computational Mathematics
Zusatzinfo	XVI, 644 p.
Verlagsort	Berlin
Sprache	englisch
Maße	210 x 297 mm
Gewicht	2430 g
Themenwelt	Informatik ► Weitere Themen ► Bioinformatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	algorithms • Calculus • Differential equations on manifolds • Geometric numerical integration • Hamiltonian and reversible systems • Numerical Integration • Symplectic and symmetric methods
ISBN-13	9783540306634 / 9783540306634
Zustand	Neuware