Scientific Computing with Ordinary Differential Equations [Paperback]

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 areaMathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in re? search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numeri? cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe? matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.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

P. Deuflhard and F. Bornemann

Scientific Computing with Ordinary Differential Equations

Provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving initial value problems in orl3