Solution Methods for Integral Equations: Theory and Applications [1 ed.] 0306402548, 9780306402548

1. A Survey of Numerical Methods for Integral Equations.- 2. A Method for Accelerating the Iterative Solution of a Class

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English Pages 350 [359] Year 1979

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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

Solution Methods for Integral Equations: Theory and Applications [1 ed.]
 0306402548, 9780306402548

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