Studying absolute stability properties of the Richardson extrapolation combined with explicit Runge-Kutta methods

DOI10.1016/j.camwa.2014.02.025zbMath1368.65115OpenAlexW1996574028MaRDI QIDQ2013734

Krassimir Georgiev, Ivan T. Dimov, Zahari Zlatev

Publication date: 9 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.02.025

zbMATH Keywords

numerical experimentsaccuracyRichardson extrapolationexplicit Runge-Kutta methodsabsolute stability regions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (8)

Enhanced nodal gradient finite elements with new numerical integration schemes for 2D and 3D geometrically nonlinear analysis ⋮ Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods ⋮ Stability Properties of Explicit Runge-Kutta Methods Combined with Richardson Extrapolation ⋮ Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation ⋮ Selecting Explicit Runge-Kutta Methods with Improved Stability Properties ⋮ Studying absolute stability properties of the Richardson extrapolation combined with explicit Runge-Kutta methods ⋮ A new numerical integration over arbitrary quadrilateral element based on smoothed strain energy and Richardson extrapolation ⋮ \(n+1\) Integration scheme for polygonal elements using Richardson extrapolation

Uses Software

• RODAS

Cites Work

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• Influence of climatic changes on pollution levels in the Balkan peninsula
• Efficient implementation of stable Richardson extrapolation algorithms
• Stability of the Richardson extrapolation applied together with the \(\theta \)-method
• Studying absolute stability properties of the Richardson extrapolation combined with explicit Runge-Kutta methods
• Computational and numerical challenges in environmental modelling
• A special stability problem for linear multistep methods

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