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.
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces a conservative, discretization- and PDE-agnostic redistribution limiting method for high-order approximations of conservation equations.
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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.
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Locally conservative redistribution limiting and applications to the approximation of conservation equations, Part II
Introduces a conservative, discretization- and PDE-agnostic redistribution limiting method for high-order approximations of conservation equations.