Unformatted text preview: If we provide an arbitrary initial condition, will the computed solution converge to the exact solution of the PDE problem when the mesh is re±ned enough? Are there any conditions on how the mesh must be re±ned, or can we re±ne it in any way? Notes: Don’t worry too much about how the second last point is computed; just assume that u n J-1 = u n J . Use enough mesh points to sketch the mesh, at least 10 in the x-direction....
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- Spring '09
- Logic, Hilbert space, von neumann, von Neumann analysis