On skew-symmetric differentiation matrices
نویسنده
چکیده
The theme of this paper is the construction of finite-difference approximations to the first derivative in the presence of Dirichlet boundary conditions. Stable implementation of splitting-based discretisation methods for the convectiondiffusion equation requires the underlying matrix to be skew symmetric and this turns out to be a surprisingly restrictive condition. We prove that no skewsymmetric approximation on an equidistant grid may exceed order two. Once non-equidistant grid is allowed, this barrier can be breached.
منابع مشابه
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تاریخ انتشار 2013