Numerical Solution of Sturm-Liouville Problems (Monographs on Numerical Analysis) - Hardcover

Pryce, J. D.

Hardcover

ISBN 10: 0198534159 ISBN 13: 9780198534150

Publisher: Clarendon Press, 1993

Synopsis

Sturm Liouville Problems (SLPs) were an applied mathematics tool in the 19th century (Fourier series and separation-of-variables), a driving force of pure mathematics in the early 20th century (Hilbert space operator theory), and of vital interest to physicists when Schrodinger's equations came along. The variety of interesting SL-related computations reflects this triple background. Numerical methods date from the 1920s: in quantum physics literature, often for one type of problem and of limited accuracy; in numerical literature, accurate and efficient on a class of (usually regular) problem but hard to automate. General ODE boundary value software solves SLPs reliably but inefficiently. It is worth developing special methods to cope with the variety of behaviour singular SLPs display. The book is intended for the scientist/engineer who wants simple methods for simple SLPs but needs to know their limitations, the algorithms that overcome these and the software that embodies these algorithms. It is also for the numerical analyst who wants a reference on good SLP methods, their theory, implementation and performance. The basic mathematical theory as it relates to algorithms is covered in some detail. There are numerous problems.

About this title

Review

"This monograph covers the analytical and numerical aspects of Sturm-Liouville problems/ It is clearly written, up-to-date, and suitable as a text for a graduate mathematics course or as a reference for scientists and engineers." --Mathematical Reviews"The book is essential reading for those developing methods for numerical solution of SLP's and is also useful for those writing other numerical software. . .well written and is a worthy addition to the famous OUP Monographs on Numerical Analysis series." --SIAM Review

Edition details

• Publisher: Clarendon Press
• Publication date: 1993
• ISBN 10: 0198534159
• ISBN 13: 9780198534150
• Binding: Hardcover
• Language: English
• Number of pages: 336