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2. Stable Discretization

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Abstract

The formulation of good discretization schemes is of course the first step in any numerical solution of continuous equations. For multigrid solutions, some additional considerations enter. First, discrete equations should be written for general meshsizes h, including large ones (to be used on coarse grids). Also, the multigrid processes offer several simplifications of the discretization procedures.

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The formulation of good discretization schemes is of course the first step in any numerical solution of continuous equations. For multigrid solutions, some additional considerations enter. First, discrete equations should be written for general meshsizes h, including large ones (to be used on coarse grids). Also, the multigrid processes offer several simplifications of the discretization procedures.

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Available abstract

The formulation of good discretization schemes is of course the first step in any numerical solution of continuous equations. For multigrid solutions, some additional considerations enter. First, discrete equations should be written for general meshsizes h, including large ones (to be used on coarse grids). Also, the multigrid processes offer several simplifications of the discretization procedures.

Key concepts: Discretization, Multigrid method, Applied mathematics, Mathematics, Discretization error, Computer science, Mathematical analysis, Partial differential equation

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