1. Scientific Computing Lab
Institut für
Informatik
Scientific Computing in
Computer Science
Scientific Computing Lab
Partial Differential Equations
Stationary Equations
Dr. Miriam Mehl

2. Stationary Partial Differential Equations
independent variables: space coordinates
boundary value problems
no start and end

3. Discretization space grid functions operators
large system of linear equations
typically sparse
finite difference/volume/element

4. Iterative Solution of Systems of Linear Equations
point-by-point processing
eliminate local residual
iterate
Gauss-Seidel solver
exploit sparsity

5. More Information http://www.cse.tum.de/vtc/SciComp/
3.3 Discretizing partial Differential Equations
3.5 Iterative Solution of Large Sparse Linear Systems