Solution Methods for Integral Equations: Theory and Applications

ISBN-13: 9781475714685 / Angielski / Miękka / 2013 / 350 str.

M. A. Goldberg

Spis treści

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.