Numerical Solution of Ordinary Differential Equations
for Classical, Relativistic and Nano Systems
1. Edition November 2005
X, 206 Pages, Softcover
98 Pictures
13 tables
Textbook
Short Description
This work meets the need for an affordable textbook on numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern.
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Further versions
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.
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
