Solution Methods for Integral Equations - Theory and Applications

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.

List of contents

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.

Product details

• Assisted by: A Goldberg (Editor), M A Goldberg (Editor), M. A. Goldberg (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 14.11.2013
• EAN: 9781475714685
• ISBN: 978-1-4757-1468-5
• No. of pages: 350
• Illustrations: IX, 350 p.
• Series: Mathematical Concepts and Methods in Science and Engineering; Mathematical Concepts and Methods in Science and Engineering; Mathematical Concepts in Science and Engineering
• Subjects: Humanities, art, music > Humanities (general); Natural sciences, medicine, IT, technology > Mathematics > Analysis; Social sciences, law, business > Social sciences (general)