Wiley-VCH, 2006. — 212 pages. ISBN: 3527406107This 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.Contents Euler's method Runge-Kutta methods The method of Taylor expansions Large second-order systems with application to nano systems Completely conservative, covariant numerical methodology Instability Numerical solution of tridiagonal linear algebraic systems and related nonlinear systems Approximate solution of boundary value problems Special relativistic motion Special topics
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