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Simulating Hamiltonian Dynamics,BENEDICT LEINKUHLER 🔍
Benedict Leimkuhler; Sebastian Reich Cambridge University Press (Virtual Publishing), 2004, 2004
英语 [en] · PDF · 110.0MB · 2004 · 📗 未知类型的图书 · 🚀/duxiu/upload/zlibzh · Save
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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upload/duxiu_main/v/pdf/40481665_SimulatingHamiltonianDynamics.pdf
备用文件名
zlibzh/no-category/ssreader, SEBASTIAN REICH/ssreader_30379162.pdf
备选标题
Simulating Hamiltonian Dynamics (Cambridge Monographs on Applied and Computational Mathematics, Series Number 14)
备选标题
SIMULATING HAMILTONIAN MECHANICS
备选作者
Leimkuhler, Benedict, Reich, Sebastian
备选作者
ssreader, SEBASTIAN REICH
备用版本
CAMBRIDGE MONOGRAPHS ON APPLIED AND COMPUTATIONAL MATHEMATICS; 14, CAMBRIDGE, Unknown
备用版本
Cambridge monographs on applied and computational mathematics, 14, Cambridge, 2004
备用版本
Cambridge monographs on applied and computational mathematics, Cambridge, UK, 2004
备用版本
Cambridge University Press, Cambridge, UK, 2005
备用版本
United Kingdom and Ireland, United Kingdom
备用版本
Illustrated, 2005
备用版本
February 14, 2005
备用版本
1, FR, 2005
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备用描述
<p>The simulation of matter by direct computation of individual atomic motions has become an important element in the design of new drugs and in the construction of new materials. This book demonstrates how to implement the numerical techniques needed for such simulation, thereby aiding the design of new, faster, and more robust solution schemes. Clear explanations and many examples and exercises will ensure the value of this text for students, professionals, and researchers.</p>
备用描述
This book is about numerical methods for use in simulating dynamical phenomena governed by conservative processes.
开源日期
2024-06-27
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