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

2. Instationary PDEs independent variables: space + time
boundary values + initial values
boundaries + start and end

3. Discretization spatial discretization system matrix
time discretization
compare ODE

4. Balancing Accuracy
time space
relation time step spatial step

5. Explicit/Implicit explicit time steps restricted time steps
dependend on spatial step
no equations to solve
implicit time step
unrestricted time step
large systems of equations

6. More Information http://www.cse.tum.de/vtc/SciComp/
3.3 Discretizing partial Differential Equations

7. Peter Gustav Lejeune Dirichlet 1805-1859

8. Carl Gottfried Neumann 1832-1925