Cover Image

Boundary value problems and orthogonal expansions physical problems from a Sobolev viewpoint

For a first course in the topic using the modern, norm-based Sobolev techniques not currently available in published format. Major concepts are presented with minimal possible detail and details are pushed into the exercises, omitted, or postponed until later sections.

Saved in:
Bibliographic Details
Main Author: MacCluer, C. R.
Format: Book
Language:English
Published: New York, NY IEEE Press 1994
Subjects:
Boundary value problems
Orthogonal polynomials
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • pt. I. Boundary Value Problems
  • An Intuitive Introduction.
  • 1. Diffusion.
  • 2. Steady-State Dirichlet Problems.
  • 3. Flux.
  • 4. Steady-State Neumann Problems.
  • 5. Transient Problems
  • An Introduction to Separation of Variables
  • pt. II. Function Spaces.
  • 6. Norms.
  • 7. Hilbert Space.
  • 8. Recasting BVPs into Operator Format.
  • 9. Hermitian Operators.
  • 10. Resolvents. 11. Separation of Variables
  • pt. III. Expansions in Series of Orthogonal Functions.
  • 12. Trigonometric Expansions.
  • 13. Rectangular Problems.
  • 14. Bessel Functions.
  • 15. Cylindrical Problems.
  • 16. Orthogonal Polynomials.
  • 17. Spherical Problems
  • pt. IV. An Introduction to Selected Other Topics.
  • 18. Sturm-Liouville Problems.
  • 19. Choosing Inner Products.
  • 20. The Use of a Symbolic Manipulator.
  • 21. The Mikusinski Operational Calculus.
  • 22. Fourier Integrals.
  • 23. The Galerkin Numerical Method.
  • 24. Sobolev Methods
  • Appendix A. Measure and Integration
  • Appendix B. Quantum Mechanics.

Similar Items