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Numerical Solution of Ordinary Differential Equations: for Classical, Relativistic and Nano Systems

Numerical Solution of Ordinary Differential Equations: for Classical, Relativistic and Nano Systems

Donald Greenspan

ISBN: 978-3-527-40610-4

Jan 2006

216 pages

In Stock

$91.00

Description

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.
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