Class Notes
for Math 4348
ADD. KEYWORDS: Class notes, Classification for Second
Order Equations, A Standard Form for Second Order Equations, Green's Identities,
Adjoints of Differential Operators, Green's Functions for Dirichlet Problems
in the Plane, A Maximum Principle, An Example: The Shape of a Drum
SOURCE: Jim Herod, Georgia Institute of Technology
TECHNOLOGY: Adobe Acrobat Reader, Maple
Hilbert Space
Methods for Partial Differential Equations, by R. E. Showalter
ADD. KEYWORDS: Lecture Notes, Distributions and Sobolev
Spaces, Boundary Value Problems, First Order Evolution Equations, Implicit
Evolution Equations, Second Order Evolution Equations, Optimization and Approximation
Topics
Navier-Stokes
Equations
ADD. KEYWORDS: Expository article
SOURCE: Charles Fefferman and the Clay Mathematics Institute
TECHNOLOGY: PDF Reader
Numerical
Solution of Partial Differential Equations
ADD. KEYWORDS: Lecture Notes, Elliptic boundary value
problems, Finite difference schemes, Finite element methods, Parabolic equations,
Hyperbolic equations
Sampler of Java applets
ADD. KEYWORDS: Non-linear Klein-Gordon Wave Movie, Wave
pulse on a string with roundoff error noise, Interactive reshapable wave movie,
Wave pulse on a string: trigonometric series model