101 citations · 198 across the 17 of their papers we have counts for
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math.NA2018★ 3 cited
Fourth order finite difference methods for the wave equation with mesh refinement interfaces
Siyang Wang, N. Anders Petersson
We analyze two types of summation-by-parts finite difference operators for approximating the second derivative with variable coefficient. The first type uses ghost points, while th…
math.NA2018★ 23 cited
Order Preserving Interpolation for Summation-by-Parts Operators at Non-Conforming Grid Interfaces
Martin Almquist, Siyang Wang, Jonatan Werpers
We study non-conforming grid interfaces for summation-by-parts finite difference methods applied to partial differential equations with second derivatives in space. To maintain ene…