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Richardson, L.F. (1911) The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations with an Application to the Stress in a Masonry Dam. Philosophical Transactions of the Royal Society of London. Series A, 210, 307-357.

has been cited by the following article:

• TITLE: The Estimation of the Error at Richardson’s Extrapolation and the Numerical Solution of Integral Equations of the Second Kind

  AUTHORS: Igor Petrovich Dobrovolsky

  KEYWORDS: The Trapezoidal Rule, Continued Fraction, The Index of Richardson’s Extrapolation

  JOURNAL NAME: Open Access Library Journal, Vol.2 No.11, November 9, 2015

  ABSTRACT: The mode of definition of the error at polynomial Richardson’s extrapolation is described. Along with the table of extrapolations the new magnitudes reflecting expediency and efficiency of extrapolation are entered. On concrete examples it is shown that application of Richardson’s extrapolation to a solution of integral equations has appeared rather effective and gives a solution with a high exactitude. Application of formulas of interpolation leads to a solution in the analytical aspect.