Solution Methods for Integral Equations: Theory and Applications

✍ Scribed by M. A. Golberg (auth.), Michael A. Golberg (eds.)

• Publisher: Springer US
• Year: 1979
• Tongue: English
• Leaves: 351
• Series: Mathematical Concepts and Methods in Science and Engineering 18
• Edition: 1
• Category: Library

✦ Synopsis

1. A Survey of Numerical Methods for Integral Equations.- 2. A Method for Accelerating the Iterative Solution of a Class of Fredholm Integral Equations.- 3. The Approximate Solution of Singular Integral Equations.- 4. Numerical Solution of a Class of Integral Equations Arising in Two-Dimensional Aerodynamics.- 5. Numerical Solution of a Class of Integral Equations Arising in Two-Dimensional Aerodynamics—The Problem of Flaps.- 6. Applications of Integral Equations in Particle-Size Statistics.- 7. Smoothing and Ill-Posed Problems.- 8. Imbedding Methods for Integral Equations with Applications.- 9. On an Initial-Value Method for Quickly Solving Volterra Integral Equations.- 10. On a Method of Bownds for Solving Volterra Integral Equations.- 11. Resolvent Kernels of Green’s Function Kernels and Other Finite-Rank Modifications of Fredholm and Volterra Kernels.- 12. On the Algebraic Classification of Fredholm Integral Operators.- 13. Boundary and Initial-Value Methods for Solving Fredholm Integral Equations with Semidegenerate Kernels.

✦ Table of Contents

Front Matter....Pages i-ix
A Survey of Numerical Methods for Integral Equations....Pages 1-58
A Method for Accelerating the Iterative Solution of a Class of Fredholm Integral Equations....Pages 59-81
The Approximate Solution of Singular Integral Equations....Pages 83-107
Numerical Solution of a Class of Integral Equations Arising in Two-Dimensional Aerodynamics....Pages 109-146
Numerical Solution of a Class of Integral Equations Arising in Two-Dimensional Aerodynamics—The Problem of Flaps....Pages 147-167
Applications of Integral Equations in Particle-Size Statistics....Pages 169-182
Smoothing and Ill-Posed Problems....Pages 183-194
Imbedding Methods for Integral Equations with Applications....Pages 195-223
On an Initial-Value Method for Quickly Solving Volterra Integral Equations: A Review....Pages 225-243
On a Method of Bownds for Solving Volterra Integral Equations....Pages 245-256
Resolvent Kernels of Green’s Function Kernels and Other Finite-Rank Modifications of Fredholm and Volterra Kernels....Pages 257-286
On the Algebraic Classification of Fredholm Integral Operators....Pages 287-301
Boundary and Initial-Value Methods for Solving Fredholm Equations with Semidegenerate Kernels....Pages 303-345
Back Matter....Pages 347-350

✦ Subjects

Science, general