The combination of approximate solutions for accelerating the convergence

Lin Qun; Lu Tao

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1984)

  • Volume: 18, Issue: 2, page 153-160
  • ISSN: 0764-583X

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Qun, Lin, and Tao, Lu. "The combination of approximate solutions for accelerating the convergence." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 18.2 (1984): 153-160. <http://eudml.org/doc/193429>.

@article{Qun1984,
author = {Qun, Lin, Tao, Lu},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {acceleration of convergence; Banach spaces; local truncation error; abstract Richardson extrapolation; Poisson's equation},
language = {eng},
number = {2},
pages = {153-160},
publisher = {Dunod},
title = {The combination of approximate solutions for accelerating the convergence},
url = {http://eudml.org/doc/193429},
volume = {18},
year = {1984},
}

TY - JOUR
AU - Qun, Lin
AU - Tao, Lu
TI - The combination of approximate solutions for accelerating the convergence
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1984
PB - Dunod
VL - 18
IS - 2
SP - 153
EP - 160
LA - eng
KW - acceleration of convergence; Banach spaces; local truncation error; abstract Richardson extrapolation; Poisson's equation
UR - http://eudml.org/doc/193429
ER -

References

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  1. P. ANSELONE, Collectively compact operator approximation theorey, Prentice Hall,Englewood Cliffs, New-Jersey, 1971. MR443383
  2. J. BRAMBLE, Fourth'Order finite difference analogues of the Dirichlet problem for Poisson 's equations, Math. Comp., 17, 1963, pp. 217-222. Zbl0116.09103MR160338
  3. C. BREZINSKI, A general extrapolation algorithm, Numer. Math., 35, 1980, pp. 175-187. Zbl0444.65001MR585245
  4. L. FOX, The numerical solution of two-point boundary problems in differential equations,Oxford : Clarendon Press, 1957. Zbl0077.11202MR102178
  5. P. LAURENT, Convergence du procédé d'extrapolation de Richardson. 3e Congrès AFCALTI, Toulouse, 1963. Zbl0171.37504
  6. LIN QUN, Splitting extrapolations for the multidimentional problems, J. Comp.Math. 1, 1983. Zbl0569.65017
  7. V. PEREYRA, Iterated deferred corrections for nonlinear operator equation, Numer. Math.10, 1967, pp. 316-323. Zbl0258.65059MR221760
  8. H. STETTER, Asymptotic expansions for the order of discretization algorithms for nonlinear functional equations, Numer. Math. 7, 1965, pp. 18-31. Zbl0148.39003MR175320

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