Book Volume 82 2014

Linear Integral Equations

Authors:

ISBN: 978-1-4614-9592-5 (Print) 978-1-4614-9593-2 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xvi

  2. No Access

    Chapter

    Pages 1-16

    Introduction and Basic Functional Analysis

  3. No Access

    Chapter

    Pages 17-32

    Bounded and Compact Operators

  4. No Access

    Chapter

    Pages 33-44

    Riesz Theory

  5. No Access

    Chapter

    Pages 45-62

    Dual Systems and Fredholm Alternative

  6. No Access

    Chapter

    Pages 63-74

    Regularization in Dual Systems

  7. No Access

    Chapter

    Pages 75-102

    Potential Theory

  8. No Access

    Chapter

    Pages 103-140

    Singular Boundary Integral Equations

  9. No Access

    Chapter

    Pages 141-170

    Sobolev Spaces

  10. No Access

    Chapter

    Pages 171-182

    The Heat Equation

  11. No Access

    Chapter

    Pages 183-198

    Operator Approximations

  12. No Access

    Chapter

    Pages 199-218

    Degenerate Kernel Approximation

  13. No Access

    Chapter

    Pages 219-240

    Quadrature Methods

  14. No Access

    Chapter

    Pages 241-278

    Projection Methods

  15. No Access

    Chapter

    Pages 279-296

    Iterative Solution and Stability

  16. No Access

    Chapter

    Pages 297-322

    Equations of the First Kind

  17. No Access

    Chapter

    Pages 323-349

    Tikhonov Regularization

  18. No Access

    Chapter

    Pages 351-364

    Regularization by Discretization

  19. No Access

    Chapter

    Pages 365-398

    Inverse Boundary Value Problems

  20. Back Matter

    Pages 399-412