Efficient implementation of stable Richardson extrapolation algorithms

DOI10.1016/j.camwa.2010.08.025zbMath1205.65014OpenAlexW2088116518MaRDI QIDQ623172

István Faragó, Ágnes Havasi, Zahari Zlatev

Publication date: 13 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.025

zbMATH Keywords

stabilityRichardson extrapolationtrapezoidal ruleatmospheric chemistry schemebackward Euler formulasparse matrix technique

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Numerical methods for ordinary differential equations (65L99)

Related Items (max. 100)

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 ⋮ On the consistency and convergence of repeated Richardson extrapolation ⋮ Stability Properties of Explicit Runge-Kutta Methods Combined with Richardson Extrapolation ⋮ Richardson extrapolation combined with the sequential splitting procedure and the \(\theta \)-method ⋮ Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation ⋮ Application of Richardson extrapolation for multi-dimensional advection equations ⋮ Studying absolute stability properties of the Richardson extrapolation combined with explicit Runge-Kutta methods ⋮ Optimization of the richardson integration over fluctuations of its step sizes ⋮ Solving advection equations by applying the Crank-Nicolson scheme combined with the Richardson extrapolation ⋮ Combined numerical schemes ⋮ \(n+1\) Integration scheme for polygonal elements using Richardson extrapolation

Uses Software

• LAPACK
• SuperLU
• RODAS
• Y12M

Cites Work

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