23 citations · 73 across the 31 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NA2018★ 3 cited
HPS Accelerated Spectral Solvers for Time Dependent Problems
Tracy Babb, Per-Gunnar Martinsson, Daniel Appelo
A high-order convergent numerical method for solving linear and non-linear parabolic PDEs is presented. The time-stepping is done via an explicit, singly diagonally implicit Runge-…
math.NA2018★ 23 cited
An Energy Based Discontinuous Galerkin Method for Coupled Elasto-Acoustic Wave Equations in Second Order Form
Daniel Appelö, Siyang Wang
We consider wave propagation in a coupled fluid-solid region, separated by a static but possibly curved interface. The wave propagation is modeled by the acoustic wave equation in…
math.NA2018
Hermite Methods for the Scalar Wave Equation
Daniel Appelo, Thomas Hagstrom, Arturo Vargas
Arbitrary order dissipative and conservative Hermite methods for the scalar wave equation achieving orders of accuracy using degrees of freedom…