Estimation of convergence orders in repeated Richardson extrapolation

DOI10.1007/BF01932705zbMath0672.65006OpenAlexW1994173852MaRDI QIDQ1120244

Henrik Gordon Petersen, Edmund Christiansen

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01932705

zbMATH Keywords

asymptotic expansionRichardson extrapolationconverence order estimation

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05)

Related Items (9)

Limit analysis with the dual affine scaling algorithm ⋮ Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation ⋮ Robust three-dimensional level-set method for evolving fronts on complex unstructured meshes ⋮ Sweeping algebraic curves for singular solutions ⋮ Polynomial Homotopy Method for the Sparse Interpolation Problem Part I: Equally Spaced Sampling ⋮ High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences ⋮ A simultaneous process for convergence acceleration and error control ⋮ Efficient implementation of advanced Richardson extrapolation in an atmospheric chemical scheme ⋮ The Markov chain approximation approach for numerical solution of stochastic control problems: experiences from Merton's problem.

Cites Work

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• Sequence transformations and their applications
• A general extrapolation algorithm
• Generalized neville type extrapolation schemes
• Approximations and Bounds for Eigenvalues of Elliptic Operators

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