13 citations · 14 across the 4 of their papers we have counts for
4 papers
Inverting the sum of two singular matrices
Sofia Eriksson, Jonas Nordqvist
Square matrices of the form are considered. An explicit expression for the inverse is given, provided $\widetilde{\m…
Summation-by-parts approximations of the second derivative: Pseudoinverses of singular operators and revisiting the sixth order accurate narrow-stencil operator
Sofia Eriksson, Siyang Wang
We consider finite difference approximations of the second derivative, exemplified in Poisson's equation, the heat equation and the wave equation. The finite difference operators s…
Inverses of SBP-SAT finite difference operators approximating the first and second derivative
Sofia Eriksson
The scalar, one-dimensional advection equation and heat equation are considered. These equations are discretized in space, using a finite difference method satisfying summation-by-…
A dual consistent finite difference method with narrow stencil second derivative operators
Sofia Eriksson
We study the numerical solutions of time-dependent systems of partial differential equations, focusing on the implementation of boundary conditions. The numerical method considered…