activity
20112026
most citedReview of Summation-by-parts schemes for initial-boundary-value problems

432 citations · 450 across the 4 of their papers we have counts for

collaborators

5 papers

physics.flu-dyn2026

A continuum model of a diffusive compressible gas - Kinetic theory and real gases

Magnus Svärd

Using kinetic theory of gases, we derive the diffusive compressible Euler (dcE) model for ideal gases. The derivation covers all steps from the particle description of a gas, to ma…

math.NA2023

A novel energy-bounded Boussinesq model and a well balanced and stable numerical discretisation

Magnus Svärd, Henrik Kalisch

In this work, a novel Boussinesq system is put forward. The system is naturally nonlinearly entropy/energy-stable, and is designed for problems with sharply varying bathymetric fea…

math.NA2020★ 6 cited

Stability issues of entropy-stable and/or split-form high-order schemes

Gregor J. Gassner, Magnus Svärd, Florian J. Hindenlang

The focus of the present research is on the analysis of local energy stability of high-order (including split-form) summation-by-parts methods, with e.g. two-point entropy-conservi…

math.NA2013★ 432 cited

Review of Summation-by-parts schemes for initial-boundary-value problems

Magnus Svärd, Jan Nordström

High-order finite difference methods are efficient, easy to program, scales well in multiple dimensions and can be modified locally for various reasons (such as shock treatment for…

math.AP2011★ 12 cited

Higher order finite difference schemes for the magnetic induction equations

Ujjwal Koley, Siddhartha Mishra, Nils Henrik Risebro +1

We describe high order accurate and stable finite difference schemes for the initial-boundary value problem associated with the magnetic induction equations. These equations model…