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
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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.
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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.