Solving ODEs with MATLAB. (English) Zbl 1079.65144

Shampine, L. F.; Gladwell, I.; Thompson, S.

Cambridge: Cambridge University Press (ISBN 0-521-82404-4/hbk). viii, 263 p. (2003).

Publisher’s description: This concise text for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the ‘facts of life’ for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.
Contents: 1. Getting started; 2. Initial value problems; 3. Boundary value problems; 4. Delay differential equations.

MSC:

65Y15	Packaged methods for numerical algorithms
65Lxx	Numerical methods for ordinary differential equations

Software:

bvp4c; DELSOL; Matlab