Numerical Solution of Ordinary Differential Equations

Donald Greenspan is Professor of Mathematics at the University of Texas, where he received the Distinguished Research Award in 1983. An experienced lecturer, he has authored 200 papers and 14 books, many of them textbooks on computational mathematics. His assignments included positions at Harvard, Stanford, Berkeley and Princeton.

• I Euler's MethodII Runge-Kutta MethodsIII The Method of Taylor ExpansionsIV Large Second Order Systems with Application to Nano SystemsV Completely Conservative, Covariant Numerical MethodologyVI InstabilityVII Numerical Solution of Tridiagonal Linear Algebraic Systems and Related Nonlinear SystemsVIII Approximate Solution of Boundary Value ProblemsIX Special Relativistic MotionX Special TopicsAppendix -Basic Matrix OperationsBibliography