On the error propagation of semi-Lagrange and Fourier methods for advection problems

DOI10.1016/j.camwa.2014.12.004zbMath1364.65179arXiv1406.1933OpenAlexW2090033243WikidataQ41995929 ScholiaQ41995929MaRDI QIDQ524783

Alexander Ostermann, Lukas Einkemmer

Publication date: 3 May 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1933

zbMATH Keywords

error estimatesnumerical experimentsfast Fourier transformerror propagationdiscontinuous GalerkinCooley-Tukey algorithmhigh-precision computationssemi-Lagrange methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) First-order hyperbolic equations (35L02)

Related Items (3)

High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code ⋮ A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions ⋮ Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation

Uses Software

• Vador
• cuFFT

Cites Work

• Comparison of Eulerian Vlasov solvers
• A splitting approach for the Kadomtsev-Petviashvili equation
• A splitting algorithm for Vlasov simulation with filamentation filtration
• Stability of the Lagrange-Galerkin method with non-exact integration
• Convergence of a Semi-Lagrangian Scheme for the One-Dimensional Vlasov--Poisson System
• Accuracy of the Discrete Fourier Transform and the Fast Fourier Transform
• Convergence Analysis of Strang Splitting for Vlasov-Type Equations
• Geometric Numerical Integration
• Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov--Poisson Equations

This page was built for publication: On the error propagation of semi-Lagrange and Fourier methods for advection problems