Solution Methods for Integral Equations: Theory and Applications

M. A. Golberg (auth.), Michael A. Golberg (eds.)0306402548, 9780306402548

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.

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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