Proposes two positivity-preserving correction schemes for dynamical low-rank approximations of the Vlasov equation using quadratic programming constraints, with one also preserving mass and momentum.
QuantizedtensornetworksforsolvingtheVlasov–Maxwellequations
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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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Positivity-preserving dynamical low-rank methods for the Vlasov equation
Proposes two positivity-preserving correction schemes for dynamical low-rank approximations of the Vlasov equation using quadratic programming constraints, with one also preserving mass and momentum.