Computational Methods 2013
Slides used in class
List of references texts [pdf]
Introduction [pdf]
Finite difference method [pdf]
Finite difference method for elliptic equation I [pdf]
Finite difference method for elliptic equation II [pdf]
Finite difference method for elliptic equation III [pdf]
Finite volume method for BVP: Discontinuous coefficients and high Peclet number [pdf]
Finite difference method for 1-D heat equation [pdf]
Finite difference method for 2-D heat equation [pdf]
Finite difference method for 1-D linear convection equation [pdf]
High order method for 1-D linear convection equation [pdf]
Introduction to non-linear conservation laws [pdf]
FVM for non-linear conservation law I [pdf]
FVM for non-linear conservation law II [pdf]
FVM for non-linear conservation law III [pdf]
FVM for non-linear conservation law IV [pdf]
FVM for non-linear conservation law V [pdf]
FVM for non-linear conservation law: Approximate Riemann solvers [pdf]
FVM for non-linear conservation law: Second order extension [pdf]
FEM for BVP: 1D case [pdf]
Lagrange interpolation and error estimates [pdf]
Galerkin method [pdf]
FEM programming [pdf]
A posteriori error estimation for elliptic problems [pdf]
FEM for heat equation [pdf]
FEM for convection dominated problem [pdf]
Assignments
Assignment 1 [pdf]
Assignment 2 [pdf]
Assignment 3 [pdf]: Solution matlab program [peaceman_rachford.m]
Computer programs
1-D boundary value problem [bvp_1d.m]
2-D poisson equation [Jacobi, Gauss-Seidel, SOR]
1-D convection diffusion equation using FVM: [centered, upwind]
1-D heat equation using FDM [FTCS, BTCS, Crank-Nicholson]
1-D linear convection equation: [periodic solution, discontinuous solution]
1-D inviscid burgers equation [conlaw.m]