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0366.3020.01 Partial Differential Equations

Fall Semester 2011

BOOKS

Introduction to Partial Differential Equations, second edition by W.A. Strauss

An Introduction to Partial Differential Equations
by Yehuda Pinchower and Jacob Rubinstein
available in Hebrew

Applied Partial Differential Equations
with Fourier Series and Boundary Value Problems - 4th edition
by Richard Haberman

Partial Differential Equations
with Fourier Series and Boundary Value Problems - 2nd edition
by Nakle Asmar

Applied Partial Differential Equations
by John Ockendon, Sam Howison, Andrew Lacey, Alexander Movchan

Partial Differential Equations Analytical and Numerical Methods
by Mark S. Gockenbach

Partial Differential Equations, Modeling, Analaysis, Computation
by R.M.M. Mattheij, S.W. Rienstra, J.H.M. ten Thije Boonkkamp

Introduction to Partial Differential Equations with MATLAB by Jeffrey M. Cooper

Computational Partial Differential Equations Using MATLAB by Jichun Li and Yi-Tung Chen

An Introduction to Partial Differential Equations with MATLAB
by Matthew P. Coleman

Partial Differential Equations for Computational Science by David Betounes

Introductory Applications of Partial Differential Equations
with emphasis on wave propagation and diffusion
by G.L. Lamb Jr.

Partial Differential Equations Analytical Solution Techniques,
Second Edition by J. Kevorkian

Partial Differential Equations, Fourth Edition by Fritz John

Partial Differential Equations by P.R. Garabedian

Partial Differential Equations, An Introduction by B. Epstein

Time and Place:
tuesday 14:00-17:00 Screiber, room 007.


Course outline

This list will be updated as the course progresses.
The course uses examples based on MATLAB.
The main site for MATLAB information is at mathworks
One book on MATLAB is Mastering MATLAB 7 by Duane Hanselman & Bruce Littlefield
Online - one resource is crash course in MATLAB
  1. Examples of PDEs from many fields
  2. Background
  3. First order systems including nonlinear equations
  4. Classification of second order equations
  5. Wave equation
  6. Parabolic equations
  7. Semi-infinite domain & Duhamel
  8. Fourier series
  9. Initial-Boundary value problems
  10. Elliptic equations
  11. Initial-Boundary value problems
  12. Wave Equation in Three and Two Dimensions
  13. Green's function
  14. Fourier and Laplace Transforms
  15. Distributions - delta function
  16. Summary and review of the course.