Numerical Methods for Delay Differential Equations

ISBN-13: 9780198506546 / Angielski / Twarda / 2003 / 416 str.

A. Bellen; M. Zennaro; Alfredo Bellen

Opis

The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that DDEs exhibit with respect to ordinary differential equations are preliminarily outlined by numerous examples illustrating some unexpected, and often surprising behaviors of the analytical and numerical solutions. The effect of various kinds of delays on the regularity of the solution is described and some essential existence and uniqueness results are reported. The book is centered on the various approaches existing in the literature, and develops an exhaustive error and well-posedness analysis for the general classes of one-step and multistep methods.

Recenzje

I believe the book will become a standard reference.

O autorze

Professor ALFREDO BELLEN Dipartimento di Scienze Matematiche. Universita' di Trieste, via Valerio 12/1, 34100 Trieste, Italy ++39 040 558 2608 ++39 040 558 2636 bellen@univ.trieste.it Full Professor of Numerical Analysis in Faculty of Engineerings. Department of Mathematical Sciences. University of Trieste, Italy Italian. Born in Livorno, May 21, 1941 Professor MARINO ZENNARO Dipartimento di Scienze Matematiche. Universita' di Trieste, via Valerio 12/1, 34100 Trieste, Italy ++39 040 558 2609 ++39 040 558 2636 zennaro@univ.trieste.it Full Professor of Numerical Analysis in Faculty of Sciences. Department of Mathematical Sciences. University of Trieste, Italy Italian. Born in Trieste, July 13, 1958