Numerical Methods for Two-Point Boundary-Value Problems

  • ISBN13:


  • ISBN10:


  • Edition: Revised
  • Format: Paperback
  • Copyright: 2018-11-14
  • Publisher: Dover Publications

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

  • Free Shipping On Orders Over $35!
    Your order must be $35 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • Get Rewarded for Ordering Your Textbooks! Enroll Now
List Price: $24.95 Save up to $2.49
  • Rent Book $22.46
    Add to Cart Free Shipping

    *This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.

Supplemental Materials

What is included with this book?


Elementary yet rigorous, this concise treatment explores practical numerical methods for solving very general two-point boundary-value problems. The approach is directed toward students with a knowledge of advanced calculus and basic numerical analysis as well as some background in ordinary differential equations and linear algebra.
After an introductory chapter that covers some of the basic prerequisites, the text studies three techniques in detail: initial value or "shooting" methods, finite difference methods, and integral equations methods. Sturm-Liouville eigenvalue problems are treated with all three techniques, and shooting is applied to generalized or nonlinear eigenvalue problems. Several other areas of numerical analysis are introduced throughout the study. The treatment concludes with more than 100 problems that augment and clarify the text, and several research papers appear in the Appendixes.
Dover revised and corrected republication of the edition originally published by the Blaisdell Publishing Co., Waltham, Massachusetts, 1968.

Author Biography

Herbert Bishop Keller (1925–2008) received his Ph.D. from New York University in 1954. He taught at NYU's Courant Institute and at the California Institute of Technology from 1967 until his retirement in 2000. He was a Fellow of the American Academy of Arts and Sciences, the American Association for the Advancement of Science, and the Guggenheim Foundation as well as President of the Society of Industrial and Applied Mathematics and a winner of that institution's von Kármán prize. Dover also publishes his classic text, Analysis of Numerical Methods, co-authored with Eugene Isaacson.

Table of Contents

1. Introduction
2. Initial-Value Methods (Shooting)
3. Finite-Difference Methods
4. Integral-Equation Methods
5. Eigenvalue Problems
6. Practical Examples and Computational Exercises
Appendix A Function Space Approximation Methods
Appendix B Numerical Solution of Two-Point Boundary-Value Problems
Appendix C Some Further Results

Rewards Program

Write a Review