Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential
DOI10.1137/22M147952XzbMath1501.65078MaRDI QIDQ5043373
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Publication date: 21 October 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
discontinuous Galerkin methodLiouville equationdiscontinuous potentialpositivity-preserving limiterHamiltonian-preserving
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial value problems for first-order hyperbolic systems (35L45) Hamiltonian and Lagrangian mechanics (70H99) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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