1 citations · 1 across the 2 of their papers we have counts for
6 papers
Energy-stable global radial basis function methods on summation-by-parts form
Jan Glaubitz, Jan Nordström, Philipp Öffner
Radial basis function methods are powerful tools in numerical analysis and have demonstrated good properties in many different simulations. However, for time-dependent partial diff…
Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations
Vikram Singh, Steven Frankel, Jan Nordström
Affordable, high order simulations of turbulent flows on unstructured grids for very high Reynolds number flows require wall models for efficiency. However, different wall models h…
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)…