Stability of the leapfrog/midpoint method

DOI10.1016/j.amc.2008.11.029zbMath1166.65365OpenAlexW2038536914MaRDI QIDQ1004194

Lawrence F. Shampine

Publication date: 2 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.029

zbMATH Keywords

dissipationmethod of linesstability regionsemi-discretizationmidpoint methodleapfrog method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20)

Related Items (3)

An iterative starting method to control parasitism for the Leapfrog method ⋮ A spectral element method using the modal basis and its application in solving second‐order nonlinear partial differential equations ⋮ Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling

Cites Work

• Smoothing the extrapolated midpoint rule
• On Extrapolation Algorithms for Ordinary Initial Value Problems
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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