432 citations · 594 across the 35 of their papers we have counts for
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Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps
David A. Kopriva, Gregor J. Gassner, Jan Nordström
We use the behavior of the norm of the solutions of linear hyperbolic equations with discontinuous coefficient matrices as a surrogate to infer stability of discontinuous G…
Stable filtering procedures for nodal discontinuous Galerkin methods
Jan Nordström, Andrew R. Winters
We prove that the most common filtering procedure for nodal discontinuous Galerkin (DG) methods is stable. The proof exploits that the DG approximation is constructed from polynomi…
Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator
Oskar Ålund, Yukinao Akamatsu, Fredrik Laurén +3
We develop a novel numerical scheme for the simulation of dissipative quantum dynamics following from two-body Lindblad master equations. All defining continuum properties of the L…
A New Class of Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions
Hendrik Ranocha, Jan Nordström
Since integration by parts is an important tool when deriving energy or entropy estimates for differential equations, one may conjecture that some form of summation by parts (SBP)…