Fast Multipole Methods (CTP)

The following is a partial list of research topics on integral equations and fast algorithms.

1. Introduction to Integral Equations
2. Introduction to Potential Theory
3. Fast Multipole Methods
4. Fast Gauss Transform
5. Non-Uniform Fast Fourier Transforms
6. Fast Algorithms for Two-Point Boundary Value Problems
7. Fast Algorithms for Elliptic PDEs
8. Fast Direct Solvers for BVPs for Elliptic PDEs
9. General Fast Summations/Transforms
10. Compression of Low Rank Matrices
11. Fast Algorithms for Heat Equation
12. Fast Algorithms for Wave Equation
13. Fast Algorithms for Stokes Equations
14. Fast Algorithms for Linear Elasticity?
15. Fast Algorithms for Linearized Poisson-Boltzmann Equation
16. Fast Algorithms for Dislocation Dynamics
17. Fast Algorithms for Time Domain Maxwell Equations?
18. Fast Algorithms for Elastic Wave Propogations?
19. Fast Algorithms for Lippmann-Schwinger equation
20. Fast Algorithms for Nonreflecting Boundary Conditions
21. Krylov-space-based Iterative Solvers: GMRES and Conjugate Gradient
22. Generalized Gaussian Quadrature and Sum-of-exponentials Approximation

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