This new work is an introduction to the numerical solution of the
initial value problem for a system of ordinary differential
equations. The first three chapters are general in nature, and
chapters 4 through 8 derive the basic numerical methods, prove
their convergence, study their stability and consider how to
implement them effectively. The book focuses on the most important
methods in practice and develops them fully, uses examples
throughout, and emphasizes practical problem-solving methods.
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