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 · 영어 · 페이퍼백 · 판본 4개
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설명

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.

책 세부 정보

형식 페이퍼백
페이지 660 페이지
언어 영어
출판됨 3월 11, 2010
출판사 Springer
ISBN-10 364205157X
ISBN-13 9783642051579

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