4 papers
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…
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…
GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation
Arturo Vargas, Jesse Chan, Thomas Hagstrom +1
The Hermite methods of Goodrich, Hagstrom, and Lorenz (2006) use Hermite interpolation to construct high order numerical methods for hyperbolic initial value problems. The structur…
Variations on Hermite methods for wave propagation
Arturo Vargas, Jesse Chan, Thomas Hagstrom +1
Hermite methods, as introduced by Goodrich et al., combine Hermite interpolation and staggered (dual) grids to produce stable high order accurate schemes for the solution of hyperb…