3 papers
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
Convergence of entropy-stable continuous summation-by-parts discretizations of symmetric hyperbolic conservation laws
Zelalem Arega Worku, David C. Del Rey Fernández, David W. Zingg
The Lax equivalence theorem guarantees convergence of stable and consistent discretizations for linear hyperbolic partial differential equations (PDEs). For nonlinear problems, how…
math.NA2026
A finite-difference summation-by-parts, conditionally stable partitioned algorithm for conjugate heat transfer problems
Sarah Nataj, David C. Del Rey Fernández, David Brown +1
In this work, we design and analyze a novel, provably conditionally stable, weakly coupled partitioned scheme to solve the conjugate heat transfer (CHT) problem. We consider a mode…