28 citations · 76 across the 13 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NA2018
Leapfrog time-stepping for Hermite methods
Arturo Vargas, Thomas Hagstrom, Jesse Chan +1
We introduce Hermite-leapfrog methods for first order wave systems. The new Hermite-leapfrog methods pair leapfrog time-stepping with the Hermite methods of Goodrich and co-authors…
math.NA2018★ 14 cited
Robust Approaches to Handling Complex Geometries with Galerkin Difference Methods
Jeremy E. Kozdon, Lucas C. Wilcox, Thomas Hagstrom +1
The Galerkin difference (GD) basis is a set of continuous, piecewise polynomials defined using a finite difference like grid of degrees of freedom. The one dimensional GD basis fun…
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…