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Finite Difference Schemes and Partial Differential Equations John Strikwerda
Publisher: SIAM: Society for Industrial and Applied Mathematics

Construction of the stiffness matrix. Solution of the Saint Venent equations using the modified finite element method 8.4. (12 hours) FEM for time-dependent linear problems. Introduction to the finite element method 5.4. (3 hours) FEM for elliptic linear problems. Finite difference schemes for time discretization. Iterative methods for sparse linear systems. Numerical methods for stiff ODE systems. Society for Industrial and Applied Mathematics, Philadelphia, 2004. Numerical solution of the advection equation 6.1. 16, 19, 20 Notice the numbers 16,19, 20 at the end. Numerical integration of the system of Saint Venant equations 8.1. Some main results on approximation theory. Amplitude and phase errors 6.3. Properties of the numerical methods for partial differential equations 6. Solution by the finite difference method 6.2. (2 hours) Finite-element spaces. Finite Difference Schemes and Partial Differential Equations. Solution of the Saint Venant equations using the Preissmann scheme 8.3. (8 hours) Introduction to the numerical solution of partial differential equations.