AMT 451 3.0 Advanced Numerical Techniques – Department of Mathematics

Course: AMT 451 3.0 Advanced Numerical Techniques (Compulsory)

Course content:

Brief overview of partial differential equations; Consistency, Stability and Convergence analysis of a numerical scheme. Finite difference methods for parabolic equations; Finite difference methods for hyperbolic equations; Finite difference methods for elliptic equations; Basic theory of finite element methods; Weak formulation of Elliptic Boundary Value Problems. Finite Element Spaces. Finite element methods: Programming.

Recommended Readings:

1. Chen,Y.T., & Li,J. (2008). Computational Partial Differential Equations using MATLAB. Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series.
2. Johnson,C. (1987). Numerical solutions of partial differential equations by finite element method. Cambridge Unity Pressivers.
3. Seshu,P. (2012). Textbook of Finite Element Analysis. PHI Learning Private Limited.