432 citations · 594 across the 35 of their papers we have counts for
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A new variational discretization technique for initial value problems bypassing governing equations
Alexander Rothkopf, Jan Nordström
Motivated by the fact that both the classical and quantum description of nature rest on causality and a variational principle, we develop a novel and highly versatile discretizatio…
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…
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws
David A. Kopriva, Gregor J. Gassner, Jan Nordstrom
We derive entropy conserving and entropy dissipative overlapping domain formulations for systems of nonlinear hyperbolic equations in conservation form, such as would be approximat…
Summation-by-parts operators for general function spaces
Jan Glaubitz, Jan Nordström, Philipp Öffner
Summation-by-parts (SBP) operators are popular building blocks for systematically developing stable and high-order accurate numerical methods for time-dependent differential equati…
A skew-symmetric energy and entropy stable formulation of the compressible Euler equations
Jan Nordström
We show that a specific skew-symmetric form of nonlinear hyperbolic problems leads to energy and entropy bounds. Next, we exemplify by considering the compressible Euler equations…