Scientific Computing Lab

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

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

Discretization spatial discretization system matrix time discretization compare ODE

Balancing Accuracy time space relation time step spatial step

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

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

Peter Gustav Lejeune Dirichlet 1805-1859

Carl Gottfried Neumann 1832-1925