Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations
- 1st Edition - January 28, 1975
- Imprint: Academic Press
- Editor: A.K. Aziz
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 3 5 7 5 - 2
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 7 9 9 - 9
Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of… Read more
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Request a sales quoteNumerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of Maryland, Baltimore Country Campus. This symposium aims to bring together a number of numerical analysis involved in research in both theoretical and practical aspects of this field. This text is organized into three parts encompassing 15 chapters. Part I reviews the initial and boundary value problems. Part II explores a large number of important results of both theoretical and practical nature of the field, including discussions of the smooth and local interpolant with small K-th derivative, the occurrence and solution of boundary value reaction systems, the posteriori error estimates, and boundary problem solvers for first order systems based on deferred corrections. Part III highlights the practical applications of the boundary value problems, specifically a high-order finite-difference method for the solution of two-point boundary-value problems on a uniform mesh. This book will prove useful to mathematicians, engineers, and physicists.
Contributors
Preface
Part I. Survey Lectures
Numerical Solutions of Initial Value Problems for Ordinary Differential Equations
Numerical Solution of Boundary Value Problems for Ordinary Differential Equations: Survey and Some Recent Results on Difference Methods
On the Conversion of Boundary-Value Problems into Stable Initial-Value Problems via Several Invariant Imbedding Algorithms
Part II. Invited Talks
The Connection between the Finite Difference Like Methods and the Methods Based on Initial Value Problems for ODE
A Smooth and Local Interpolant with “Small” K-th Derivative
Difference Approximations for Singular Perturbation Problems
The Occurrence and Solution of Boundary Value Reaction Systems
Invariant Imbedding for Fixed and Free Two Point Boundary Value Problems
A Posteriori Error Estimates
Boundary Problem Solvers for First Order Systems Based on Deferred Corrections
Numerical Solution of Boundary Value Problems by Stable Methods Based on the Transfer of Conditions
A Tale of Two Methods for Solving Two-Point Boundary Value Problems
Part III. Short Communications
Some Considerations in the Numerical Simulation of a Semiconductor Device
Comparison of Some Codes for the Initial Value Problem for Ordinary Differential Equations
A High-Order Finite-Difference Method for the Solution of Two-Point Boundary-Value Problems on a Uniform Mesh
- Edition: 1
- Published: January 28, 1975
- Imprint: Academic Press
- No. of pages: 380
- Language: English
- Paperback ISBN: 9781483235752
- eBook ISBN: 9781483267999
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