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Applied Numerical Methods for Partial Differential Equations

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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.

Text: 

To be determined.

Prerequisite: 

MATH 647 or equivalent.

Credit Hours: 
3

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 )

Frequency: 
Every Spring Semester

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