Solution of Boundary Value Problems by t
โ David L. Colton
๐ Library
๐
1976
๐ Pitman Publishing
๐ English
โฆ LIBER โฆ
๐
Solution of boundary value problems by the method of integral operators (Research notes in mathematics)
โ Scribed by David L Colton
- Publisher
- Pitman Pub
- Year
- 1976
- Tongue
- English
- Leaves
- 154
- Series
- Research notes in mathematics (Book 6)
- Category
- Library
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โฆ Table of Contents
Introduction
Chapter I. Elliptic Equations in Two Independent Variables
1.1. Analytic Continuation
1.2. Integral Operators
1.3. Complete Families of Solutions
1.4. The Bergman Kernel Function
1.5. Inverse Methods in Compressible Fluid Flow
Chapter II. Parabolic Equations in One Space Variable
2.1. Integral Operators
2.2. Reflection Principles
2.3. Initial-Boundary Value Problems
Chapter III. Parabolic Equations in Two Space Variables
3.1. Integral Operators and the Riemann Function
3.2. Complete Families of Solutions
3.3. The Inverse Stefan Problem
Chapter IV. The Method of Ascent for Elliptic Equations
4.1. Interior Domains
4.2. Exterior Domains
4.3. The Inverse Scattering Problem
Appendix. A Numerical Example
References
โฆ Subjects
Mathematics;Calculus; Differential equations
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