Numerical Methods for Evolution and Stationary (Integro-)Differential Equations
نویسنده
چکیده
This study-research project is about numerical methods of differential equations (ordinary differential equations (ODE), partial differential equation (PDE), and integro-differential equations (IDE).) Required courses for this project are Math 212/213 (Multivariable Calculus), Math 302 (Differential Equations); and additional training in Math 345 (Introduction in Mathematical Biology), Math 413/414 (Numerical Analysis) and Math 441/442 (Applied Mathematics) would be helpful. In Section 1, we give a very short introduction of some basic knowledge on evolution PDEs, especially reaction-diffusion equations. A more comprehensive introduction is my lecture notes [1] for Math 490, and study material for reaction-diffusion equations is also available from my course website: http://www.math.wm.edu/~shij/math490-2006/index.html. In Section 2, we briefly review some numerical methods for studying the equations; and in Section 3, we give description of two possible projects.
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