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math.NA2026
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…
math.NA2026★ 1 cited
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…