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Applied Numerical Methods for Partial Differential Equations


Finite difference methods applied to particular initial-value problems (both parabolic and hyperbolic), to illustrate the concepts of convergence and stability and to provide a background for treating more complicated problems arising in engineering and physics. Finite difference methods for elliptic boundary-value problems, with a discussion of convergence and methods for solving the resulting algebraic system. Variational methods for elliptic problems.


To be determined.


MATH 647 or equivalent.

Credit Hours: 

An introduction to numerical methods for solving partial differential equations, including finite difference and finite element methods. Consideration of elliptic, parabolic, and hyperbolic problems. Knowledge of a computer programming language is desirable, but not required.

(Huang 2007 )

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