Integral Equations, Fast Algorithms, and Potential Theory
In this course, we will discuss integral equation methods for
the classical partial differential equations of mathematical physics.
We will focus on the fast algorithms that have recently become available for
the Poisson, heat and wave equations including the fast multipole
method and the fast Gauss transform.
Additional topics covered include elements of functional analysis,
numerical quadrature, iterative and direct solvers, and applications.
Familiarity with partial differential equations, complex analysis,
numerical methods, and programming is recommended.
Professor Leslie Greengard
Wednesday, 9:30-11:20, 813 Warren Weaver Hall
Textbook: There will be no course textbook. Readings will be drawn
from the journal literature.
For further information, please contact me, preferably via email.
Tel: (212) 998-3306
A Short Course
on Fast Mutipole Methods
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
Integration and Two-Point Boundary Value Problems
A Fast Algorithm for Particle Simulations -
(distributed in class 02/15/06)
Adpative Multipole Algorithm for Particle Simulations
Potential Flow in Channels