ON THE CONSISTENCY AND CONVERGENCE OF CLASSICAL RICHARDSON EXTRAPOLATION AS APPLIED TO EXPLICIT ONE-STEP METHODS

DOI10.3846/mma.2023.16283zbMath1514.65085MaRDI QIDQ6107703

Teshome Bayleyegn, Ágnes Havasi, István Faragó

Publication date: 3 July 2023

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

zbMATH Keywords

convergenceconsistencyRichardson extrapolationexplicit methodTaylor series expansion

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Stability of the Richardson extrapolation applied together with the \(\theta \)-method
• Application of Richardson extrapolation for multi-dimensional advection equations
• Geometric Numerical Integration
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