Time-Dependent Processes in Science and Engineering * Existence and Uniqueness for Initial-Value Problems * Condition of Initial Value Problems * One-Step Methods for Nonstiff IVPs * Adaptive Control of One-Step Methods * One-step Methods for Stiff ODE and DAE IVPs * Multistep Methods for ODE and DAE IVPs * Boundary Value Problems for ODEs * References * Software * Index
Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area
The textbook provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving initial value problems in ordinary differential equations. It would be a useful and timely text for a graduate course in numerical analysis of ODEs. It is written at a level which is accessible to such an audience, covers a wide variety of topics, both classical and modern, and contains a generous supply of homework exercises at the end of each chapter.