Asymptotically Stable Fourth-Order Accurate Schemes for the Diffusion Equation on Complex Shapes1


while constraining an energy norm of the error to be temporally bounded for all t . 0 by a constant proportional An algorithm which solves the multidimensional diffusion equation on complex shapes to fourth-order accuracy and is asymptotito the truncation error. cally stable in time is presented. This bounded-error result is In Section 3 it is shown how the… (More)


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