23 citations · 49 across the 4 of their papers we have counts for
4 papers
Approximating Analytic Spectra of Hyperbolic Systems with Summation-by-Parts Finite Difference Operators
Brittany A. Erickson
In this work we explore the fidelity of numerical approximations to the analytic spectra of hyperbolic partial differential equation systems with variable coefficients. We are part…
A Non-stiff Summation-By-Parts Finite Difference Method for the Scalar Wave Equation in Second Order Form: Characteristic Boundary Conditions and Nonlinear Interfaces
Brittany A Erickson, Jeremy E Kozdon, Tobias W Harvey
Curvilinear, multiblock summation-by-parts finite difference operators with the simultaneous approximation term method provide a stable and accurate framework for solving the wave…
Hybridized Summation-By-Parts Finite Difference Methods
Jeremy E. Kozdon, Brittany A. Erickson, Lucas C. Wilcox
We present a hybridization technique for summation-by-parts finite difference methods with weak enforcement of interface and boundary conditions for second order, linear elliptic p…
Non-stiff narrow-stencil finite difference approximations of the Laplacian on curvilinear multiblock grids
Martin Almquist, Eric M. Dunham
The Laplacian appears in several partial differential equations used to model wave propagation. Summation-by-parts--simultaneous approximation term (SBP-SAT) finite difference meth…