23 citations · 73 across the 31 of their papers we have counts for
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Convergence of the Semi-Discrete WaveHoltz Iteration
Amit Rotem, Olof Runborg, Daniel Appelo
In this paper we prove that for stable semi-discretizations of the wave equation for the WaveHoltz iteration is guaranteed to converge to an approximate solution of the correspondi…
High Order Accurate Hermite Schemes on Curvilinear Grids with Compatibility Boundary Conditions
Allen Alvarez Loya, Daniel Appelö, William D. Henshaw
High order accurate Hermite methods for the wave equation on curvilinear domains are presented. Boundaries are treated using centered compatibility conditions rather than more stan…
Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations
Daniel Appelö, Yingda Cheng
In this work, we develop implicit rank-adaptive schemes for time-dependent matrix differential equations. The dynamic low rank approximation (DLRA) is a well-known technique to cap…
Energy-Conserving Hermite Methods for Maxwell's Equations
Daniel Appelo, Thomas Hagstrom, Yann-Meing Law-Kam-Cio
Energy-conserving Hermite methods for solving Maxwell's equations in dielectric and dispersive media are described and analyzed. In three space dimensions methods of order to…