A Conservative Semi-Lagrangian Method for the Advection Problem

DOI10.1007/978-3-319-57099-0_35zbMath1368.65190OpenAlexW2606255055MaRDI QIDQ5274966

Unnamed Author, Vladimir Viktorovich Shaydurov, Alexander Efremov

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_35

zbMATH Keywords

numerical experimentsadvection equationinitial boundary value problemhyperbolic conservation lawsemi-Lagrangian approachlocal integral balance equation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (1)

A conservative semi-Lagrangian finite difference WENO scheme based on exponential integrator for one-dimensional scalar nonlinear hyperbolic equations

Cites Work

• Unnamed Item
• An unconditionally stable fully conservative semi-Lagrangian method
• An unconditionally stable MacCormack method
• Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE)
• Back and forth error compensation and correction methods for semi-lagrangian schemes with application to level set interface computations
• Numerical Simulation in Fluid Dynamics

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