Splitting Methods for Rotations: Application to Vlasov Equations
DOI10.1137/19M1273918zbMath1432.65133OpenAlexW2958396732MaRDI QIDQ5221027
Fernando Casas, Joackim Bernier, Nicolas Crouseilles
Publication date: 27 March 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1273918
rotationsplittingVlasov-Maxwell equationsVlasov equationshigh-order time integratorsVlasov-Hamilton-mean-field (HMF) equations
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Solutions to PDEs in closed form (35C05) Vlasov equations (35Q83)
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Cites Work
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- Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes
- High-order Hamiltonian splitting for the Vlasov-Poisson equations
- Hamiltonian splitting for the Vlasov-Maxwell equations
- The semi-Lagrangian method for the numerical resolution of the Vlasov equation
- A splitting algorithm for Vlasov simulation with filamentation filtration
- Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
- An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit
- Conservative semi-Lagrangian schemes for Vlasov equations
- Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov--Poisson Equation
- Accelerating the Nonuniform Fast Fourier Transform
- Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov--Poisson system
- Geometric Numerical Integration
- Composition Methods for Differential Equations with Processing
- The Parabolic Spline Method (PSM) for conservative transport problems
- Rotation of 3D volumes by Fourier-interpolated shears
- Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations
- Conservative numerical schemes for the Vlasov equation