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Leimkuhler, Benedict/ Reich, Sebastian 作者

Cambridge Univ Pr

譯者

2005-2 出版日期

396 頁數

$ 114.13 價格

HRD

叢書系列

9780521772907 圖書編碼

Simulating Hamiltonian Dynamics 在線電子書圖書標籤: 數學-數值分析

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發表於2024-11-23

Simulating Hamiltonian Dynamics 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Simulating Hamiltonian Dynamics 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Simulating Hamiltonian Dynamics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Simulating Hamiltonian Dynamics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Simulating Hamiltonian Dynamics 在線電子書圖書描述

Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with discussions regarding the advantageous properties of such schemes, the book introduces methods for the N-body problem, systems with holonomic constraints, and rigid bodies. More advanced topics treated include high-order and variable stepsize methods, schemes for treating problems involving multiple time-scales, and applications to molecular dynamics and partial differential equations. The emphasis is on providing a unified theoretical framework as well as a practical guide for users. The inclusion of examples, background material and exercises enhance the usefulness of the book for self-instruction or as a text for a graduate course on the subject.

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