Scientific Computing Lab

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Scientific Computing Lab
Scientific Computing in Computer Science
Institut für Informatik

• Partial Differential Equations
• Instationary Equations

Dr. Miriam Mehl
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Peter Gustav Lejeune Dirichlet 1805-1859
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Carl Gottfried Neumann 1832-1925
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Santa Claus
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Instationary PDEs

• independent variables space time
• boundary values initial values
• boundaries start and end

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Discretization

• spatial discretization
• system matrix
• time discretization
• compare ODE

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Balancing Accuracy

• time space
• relation time step spatial step

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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

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More Information

• http//www.cse.tum.de/vtc/SciComp/
• 3.3 Discretizing partial Differential Equations