Kurt Frischmuth: Partial Differential Equations
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Kurt Frischmuth

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*Partial Differential Equations - Numerical Methods*

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for Computational Engineers

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Some Examples

(some) wave - exact solution (on some grid)

some (other) wave - numerical solution by Lax-Friedrich Method
(on different grid)

yet another wave - numerical solution by Lax-Wendroff Method

nonlinear wave - Burgers equation, numerical solution by Lax-Friedrich Method

heat conduction - explicit scheme (at the onset of instability)

heat conduction - implicit scheme (stable, despite smaller x-step)

heat conduction - iterative solution (stationary case)