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

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

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2010 · Английский · Мягкая обложка · Изданий: 4
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Описание

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. It presents atheory of symplectic and symmetric methods, which include various specially designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

Детали книги

Формат Мягкая обложка
Страницы 660 страниц
Язык Английский
Опубликовано мар 11, 2010
Издатель Springer
Издания Изданий: 4
ISBN-10 364205157X
ISBN-13 9783642051579
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