Numerical Solution of Partial Differential Equations
Welcome
Syllabus
Slides
2021-08-23 First Day
2021-08-25 Finite Difference Intro
2021-08-27 Finite Difference 2
2021-08-30 High order and boundaries
2021-09-01 Boundaries and Fourier methods
2021-09-03 Convergence and Fourier analysis
2021-09-10 Chebyshev collocation
2021-09-13 Variable coefficients
2021-09-15 Advection and stability
2021-09-17 Sparsity, solvers, and nonlinear intro
2021-09-20 Nonlinear solvers
2021-09-22 Newton linearization
2021-09-24 Transient problems
2021-09-27 Transient problems
2021-09-29 Handling stiffness
2021-10-01 Runge-Kutta methods
2021-10-04 RK methods for stiff problems
2021-10-08 Finite Difference in 2D
2021-10-13 Wave equations
2021-10-15 Sparse Linear Algebra
2021-10-18 Iterative methods
2021-10-20 Krylov methods
2021-10-22 Preconditioners
2021-10-25 Domain Decomposition
2021-10-27 Multigrid
2021-11-01 Projects
2021-11-03 Software discussion
2021-11-05 Galerkin methods
2021-11-08 Galerkin properties
2021-11-10 Finite elements
2021-11-15 Stabilized FE
2021-11-19 Mixed methods
2021-11-29 Finite Volume methods
2021-12-01 Finite Volume methods
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Index
