Numerical Methods for Two-Point Boundary-Value Problems (Dover Books on Mathematics)

Book Details

• Author: Herbert B. Keller

• Publisher: Dover

• Language: English

• Edition: Expanded Edition

• ISBN: 9780486828343

• Pages: 416

• Cover: Paperback

• Dimensions: 8.5 x 5.6 x 0.9 inches

About The Book
Numerical Methods for Two-Point Boundary-Value Problems by Herbert B. Keller is a concise yet rigorous text that explores practical numerical methods for solving general two-point boundary-value problems. The book is ideal for students with a background in advanced calculus, basic numerical analysis, and some knowledge of ordinary differential equations and linear algebra.

The text begins with an introductory chapter to ensure readers have the basic prerequisites, followed by a detailed study of three primary techniques: initial value or "shooting" methods, finite difference methods, and integral equations methods. These methods are applied to a range of problems, including Sturm-Liouville eigenvalue problems, and the shooting method is extended to generalized or nonlinear eigenvalue problems. Throughout the book, several areas of numerical analysis are introduced, making it a valuable resource for anyone wishing to explore the practical application of numerical methods in solving boundary-value problems.

The treatment concludes with more than 100 problems to reinforce and clarify the concepts presented, and several research papers appear in the appendices for further study. This expanded edition of Keller's work remains an essential text for students and professionals alike, providing a strong foundation in the numerical methods used to solve complex differential equations.