Von Neumann analysis shows that Lie-Trotter and Strang splittings yield identical stability conditions for DtP and PtD on hyperbolic problems while Strang enlarges the region, and that Crank-Nicolson or hybrid Euler schemes restore unconditional stability for parabolic problems despite a negative S-
Einkemmer et al.A review of low-rank methods for time-dependent kinetic simulations
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
representative citing papers
The paper investigates the effects of time integrator selection, numerical dissipation, and problem representation on the efficiency and stability of quantized tensor train simulations for advection-dominated test problems.
citing papers explorer
-
On the stability of the low-rank projector-splitting integrators for hyperbolic and parabolic equations
Von Neumann analysis shows that Lie-Trotter and Strang splittings yield identical stability conditions for DtP and PtD on hyperbolic problems while Strang enlarges the region, and that Crank-Nicolson or hybrid Euler schemes restore unconditional stability for parabolic problems despite a negative S-
-
A practical investigation on time integration in the quantized tensor train format
The paper investigates the effects of time integrator selection, numerical dissipation, and problem representation on the efficiency and stability of quantized tensor train simulations for advection-dominated test problems.