Numerical Solution Of Sturm Liouville Problems Oxford Science John D. Pryce

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Características del artículo

Estado
En muy buen estado: Libro que se ha leído y que no tiene un aspecto nuevo, pero que está en un ...
Educational Level
Adult & Further Education, High School
Level
Advanced
Features
Dust Jacket
Country of Origin
United Kingdom
ISBN
9780198534150
Categoría

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Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0198534159
ISBN-13
9780198534150
eBay Product ID (ePID)
66394

Product Key Features

Number of Pages
336 Pages
Language
English
Publication Name
Numerical Solution of Sturm-Liouville Problems
Publication Year
1994
Subject
Differential Equations / General, General
Type
Textbook
Author
John D. Pryce
Subject Area
Mathematics
Series
Numerical Mathematics and Scientific Computation Ser.
Format
Hardcover

Dimensions

Item Height
0.9 in
Item Weight
25.4 Oz
Item Length
9.5 in
Item Width
6.4 in

Additional Product Features

Intended Audience
College Audience
LCCN
93-036744
Dewey Edition
20
Reviews
'The text is well-presented, with many illustrative figures. This seems a useful book on the numerical solution of Sturm-Loiuville problems, especially for those people interested in practical numerical algoriths for dealing with these problems.'K.J. in't Hout., 'The text is well presented . . . a useful book on the numerical solution of Sturm-Lionville problems, especially for those people interested in practical numerical algorithms for dealing with these problems.'Mededelingen van Het Wiskundig Genootschap, November 1996, "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, "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, "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
Illustrated
Yes
Dewey Decimal
515/.352
Table Of Content
Introductory background1. Elementary theory of the classical SLP2. Simple matrix methods3. Variational methods4. Shooting and the scaled Prüfer method5. Pruess methods6. Singular SLPs: theory7. Singular SLPs: numerical treatments8. Computing and manipulating eigenfunctions9. The computation of resonances10. Further topics11. ConclusionsA: Eigenvalues of Paine problemsB: List of test problemsC: Available Sturm-Liouville software
Synopsis
Sturm-Liouville problems (SLPs)--an applied mathematics tool developed in the nineteenth century and a driving force of pure mathematics in the early twentieth century--became of vital interest to physicists with the advent of Schrodinger's equations. Today's fascinating variety of SL-related computations reflects this diverse historical background. This book was written for scientists and engineers who desire an introduction to simple SLPs, their limitations, the algorithms that overcome these limitations, and available software. Numerical analysts seeking a reference on good SLP methods, theory, implementation, and performance will also want to own a copy of this book. Treatments of the underlying mathematical theories and numerous helpful problems round out this superb new volume., 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.
LC Classification Number
QA379.P79 1993

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