The course on numerical solution to PDE's treats finite difference methods and finite element methods for approximating the solution of partial differential equations, elliptic, hyperbolic and parabolic equations of second order and elliptic equations of higher order with various boundary conditions.

[1] G. D. Smith, Numerical Solution of Partial Differential Equations: Fin ite Difference Methods, Oxford Univ. Press, Oxford, 1985.

[2] B.-N. Jiang, The Least Squares Finite Element Method, Springer Verlag, New York, 1998.

[3] S. C. Brenner and L. R. Scott, The Mathematical Theory of Finite Element Methods, Springer Verlag, New York, 1994.

[4] L. C. Evans, Partial Differential Equations, American Mathematical Society, Rhode Island, 1998.

In the fall of 1994, I taught this course with emphasis on finite difference methods. The course number is MAT835. To see the syllabuses of this course, click here. To see some sample of computer projects, click here

In the spring of 1996, I taught this course again with emphasis on finite element methods. The course number is MAT835. To see the syllabuses of this course, click here.

In the fall of 1997, I taught this course again with emphasis on finite element methods. We used MATLAB PDE Toolbox. The course number is MAT835. To see the syllabuses of this course, click here.

In the spring of 1999, I taught this course again with more theory and programming using my PDE modules. The course number is MAT8770. To see the syllabuses of this course, click here.

In the spring, 2007, I taught MATH8770 with emphasis on theorectical part of partial differential equation. To see the syllabuses of this course, click here.