An oscillation suppressing semi-Lagrangian solver for advection equation

DOI10.1016/S0010-4655(98)00094-0zbMath1003.65117OpenAlexW2042821508WikidataQ127203639 ScholiaQ127203639MaRDI QIDQ696794

Toshikazu Ebisuzaki, Takashi Yabe, Feng Xiao

Publication date: 12 September 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(98)00094-0

zbMATH Keywords

numerical examplesrational interpolationerror boundcomputational algorithmadvection equationFortran codethird-order accuracysemi-Lagrangian methodoscillation preventing

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

Conservative semi-implicit semi-Lagrangian scheme for simulation of shallow flows

Uses Software

• RCIP

Cites Work

• Constructing oscillation preventing scheme for advection equation by rational function
• Constructing a multi-dimensional oscillation preventing scheme for the advection equation by a rational function
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
• Accurate Monotone Cubic Interpolation