Closed form solution and equivalent equation approximation of linear advection by a non dissipative second order scheme for step initial conditions

DOI10.1007/s10440-013-9844-1zbMath1305.65180OpenAlexW2087208653MaRDI QIDQ461351

J. Herrera, D. Rodríguez-Gómez

Publication date: 10 October 2014

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-013-9844-1

zbMATH Keywords

Fourier analysisleapfrog schemeadvection equationequivalent equationparasitic oscillations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for linear higher-order PDEs (35G10)

Cites Work

• Comparison of numerical schemes for solving the advection equation
• Uniform Asymptotic Stability of Strang's Explicit Compact Schemes for Linear Advection
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