15 citations · 78 across the 20 of their papers we have counts for
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Numerical anisotropy study of a class of compact schemes
Adrian Sescu, Ray Hixon
We study the numerical anisotropy existent in compact difference schemes as applied to hyperbolic partial differential equations, and propose an approach to reduce this error and t…
Numerical Anisotropy in Finite Differencing
Adrian Sescu
Numerical solutions to hyperbolic partial differential equations, involving wave propagations in one direction, are subject to several specific errors, such as numerical dispersion…
Combined prefactored compact schemes for first- and second-order derivatives: conceptual derivation
Adrian Sescu
The derivation of combined prefactored compact schemes for first and second order derivatives is described here, relying on the Fourier analysis of the original prefactored compact…
A Generalization of Prefactored Compact Schemes for Advection Equations
Adrian Sescu
A generalized prefactorization of compact schemes aimed at reducing the stencil and improving the computational efficiency is proposed here in the framework of transport equations.…