Geometric Numerical Integration (inbunden)
Fler böcker inom
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
644
Utgivningsdatum
2006-02-01
Upplaga
2nd ed. 2006
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Medarbetare
Lubich, Christian
Illustrationer
XVI, 644 p.
Dimensioner
240 x 160 x 30 mm
Vikt
820 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9783540306634

Geometric Numerical Integration

Structure-Preserving Algorithms for Ordinary Differential Equations

av Ernst Hairer, Christian Lubich, Gerhard Wanner
Inbunden,  Engelska, 2006-02-01
2996
Köp
Spara som favorit
  • Skickas från oss inom 7-10 vardagar.
  • Fri frakt över 249 kr för privatkunder i Sverige.
Finns även som
Visa alla 3 format & utgåvor
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches. The second edition is substantially revised and enlarged, with many improvements in the presentation and additions concerning in particular non-canonical Hamiltonian systems, highly oscillatory mechanical systems, and the dynamics of multistep methods.
Visa hela texten

Passar bra ihop

  1. Geometric Numerical Integration
  2. +
  3. The Anxious Generation

De som köpt den här boken har ofta också köpt The Anxious Generation av Jonathan Haidt (inbunden).

Köp båda 2 för 3285 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av författarna

Ernst Hairer, Christian Lubich, Gerhard Wanner

Recensioner i media

From the reviews of the second edition: "This book is highly recommended for advanced courses in numerical methods for ordinary differential equations as well as a reference for researchers/developers in the field of geometric integration, differential equations in general and related subjects. It is a must for academic and industrial libraries." -- MATHEMATICAL REVIEWS "The second revised edition of the monograph is a fine work organized in fifteen chapters, updated and extended. The material of the book is organized in sections which are self-contained, so that one can dip into the book to learn a particular topic . A person interested in geometrical numerical integration will find this book extremely useful." (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1094 (20), 2006)

Innehållsförteckning

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.

Du kanske gillar