7 citations · 13 across the 5 of their papers we have counts for
5 papers
Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
Anita Gjesteland, Sigrun Ortleb, Salim Elghawi +1
We develop an unconditionally energy-stable tensor-product space-time discretization framework for the solution of a linear kinetic transport equation in one space dimension. The k…
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
Louis Petri, Sigrun Ortleb, Gunnar Birke +2
We employ the summation-by-parts (SBP) framework to extend the recent domain-of-dependence (DoD) stabilization for cut cells to linear kinetic models in diffusion scaling. Numerica…
Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
Wasilij Barsukow, Christian Klingenberg, Lisa Lechner +3
The Active Flux method is a numerical method for conservation laws using a combination of cell averages and point values as independent degrees of freedom, based on ideas from fini…
On the Stability of IMEX Upwind gSBP Schemes for 1D Linear Advection-Diffusion Equations
Sigrun Ortleb
A fully discrete energy stability analysis is carried out for linear advection-diffusion problems discretized by generalized upwind summation-by-parts~(upwind gSBP) schemes in spac…
Patankar-Type Runge-Kutta Schemes for Linear PDEs
Sigrun Ortleb, Willem Hundsdorfer
We study the local discretization error of Patankar-type Runge-Kutta methods applied to semi-discrete PDEs. For a known two-stage Patankar-type scheme the local error in PDE sense…