Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative
نویسندگان
چکیده
A one dimensional steady-state advection-diffusion problem using summationby-parts operators has been investigated. For approximating the second derivative, a wide stencil has been used, which has spurious, oscillating, modes for all mesh-sizes. We show that the size of the spurious modes are equal to the size of the truncation error for a stable approximation. The theoretical results are verified with numerical experiments.
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