Stability of some generalized Godunov schemes with linear high-order reconstructions

DOI10.1007/s10915-013-9701-4zbMath1282.65102OpenAlexW2036790531MaRDI QIDQ395343

Roberto G. Ferretti

Publication date: 29 January 2014

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-013-9701-4

zbMATH Keywords

stabilitysemi-Lagrangian schemesGodunov schemesflux-form semi-Lagrangian schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (3)

Conservative semi-Lagrangian schemes for kinetic equations. I: Reconstruction ⋮ Flux form semi-Lagrangian methods for parabolic problems ⋮ Stability of Semi-Lagrangian schemes of arbitrary odd degree under constant and variable advection speed

Cites Work

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• Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
• On the relationship between semi-Lagrangian and Lagrange-Galerkin schemes
• Conservative semi-Lagrangian schemes for Vlasov equations
• A semi-Lagrangian discontinuous Galerkin method for scalar advection by incompressible flows
• Equivalence of Semi-Lagrangian and Lagrange-Galerkin Schemes Under Constant Advection Speed
• Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps
• On the Analysis of Finite Volume Methods for Evolutionary Problems
• Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations

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