Simulating Hamiltonian Dynamics pdf epub mobi txt 电子书下载 2024

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Leimkuhler, Benedict/ Reich, Sebastian

Cambridge Univ Pr

2005-2

396

$ 114.13

HRD

9780521772907

图书标签: 数学-数值分析

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发表于2024-12-23

Simulating Hamiltonian Dynamics epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Simulating Hamiltonian Dynamics pdf epub mobi txt 电子书下载 2024

图书描述

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.

Simulating Hamiltonian Dynamics 下载 mobi epub pdf txt 电子书