Numerical solution of ordinary differential equations : for classical, relativistic and nano systems

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書誌事項

Numerical solution of ordinary differential equations : for classical, relativistic and nano systems

Donald Greenspan

（Physics textbook）

Wiley-VCH, c2006

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems. The examples are carefully explained and compiled into an algorithm, each of which is presented independent of a specific programming language. Each chapter is rounded off with exercises.

目次

I Euler's Method II Runge-Kutta Methods III The Method of Taylor Expansions IV Large Second Order Systems with Application to Nano Systems V Completely Conservative, Covariant Numerical Methodology VI Instability VII Numerical Solution of Tridiagonal Linear Algebraic Systems and Related Nonlinear Systems VIII Approximate Solution of Boundary Value Problems IX Special Relativistic Motion X Special Topics Appendix - Basic Matrix Operations Bibliography

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