Finite volume schemes for Vlasov
Copyright policy )Finite volume schemes for Vlasov
Summary: We present finite volume schemes for the numerical approximation of the one-dimensional Vlasov-Poisson equation (FOV CEMRACS 2011 project). Stability analysis is performed for the linear advection and links with semi-Lagrangian schemes are made. Finally, numerical results enable to compare the different methods using classical plasma test cases.
Statistical mechanics of plasmas, advection equation, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Vlasov-Poisson, Finite volume methods for initial value and initial-boundary value problems involving PDEs, [PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], [PHYS.PHYS.PHYS-PLASM-PH] Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Numerical methods of time-dependent statistical mechanics, semi-lagrangian, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Finite volume, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Vlasov equations, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Statistical mechanics of plasmas, advection equation, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Vlasov-Poisson, Finite volume methods for initial value and initial-boundary value problems involving PDEs, [PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], [PHYS.PHYS.PHYS-PLASM-PH] Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Numerical methods of time-dependent statistical mechanics, semi-lagrangian, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Finite volume, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Vlasov equations, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
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