A computational realization of a semi-Lagrangian method for solving the advection equation

DOI10.1155/2014/610398zbMath1442.65157OpenAlexW1974002721WikidataQ59053775 ScholiaQ59053775MaRDI QIDQ2336585

Eugeniya Karepova, Alexander Efremov, Alexander V. Vyatkin, Vladimir Viktorovich Shaydurov

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/610398

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Unnamed Item ⋮ Semi-Lagrangian difference approximations with different stability requirements ⋮ Two finite volume schemes for advection equation ⋮ Metamorphic image registration using a semi-Lagrangian scheme

Uses Software

• CUDA
• MOOD

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An unconditionally stable fully conservative semi-Lagrangian method
• A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
• A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics
• Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation
• ADER schemes on adaptive triangular meshes for scalar conservation laws
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Conservative semi-Lagrangian finite volume schemes
• Central WENO schemes for hyperbolic systems of conservation laws
• Finite Volume Methods for Hyperbolic Problems
• Conservative semi-Lagrangian advection on adaptive unstructured meshes
• A conservative semi‐Lagrangian method for multidimensional fluid dynamics applications
• Numerical simulation of supersonic flows in a channel
• Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems
• Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations

This page was built for publication: A computational realization of a semi-Lagrangian method for solving the advection equation