Iterative Corrections and a Posteriori Error Estimate for Integral Equations

Iterative Corrections and a Posteriori Error Estimate for Integral Equations

Year:    1993

Author:    Qin Lin, Jun Shi

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 4 : pp. 297–300

Abstract

Starting from a well known operator identity we obtain a recurrence formula, i.e., an iterative correction scheme, for the integral equations with computable kernel. From this we can increase the order of convergence step by step, say, from 4th to 8th to 12th. What is more interesting in this scheme, besides its fast acceleration, is its weak requirement on the integral kernel: the regularity of the kernel will not be strengthened during the correction procedure.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1993-JCM-9328

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 4 : pp. 297–300

Published online:    1993-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    4

Keywords:   

Author Details

Qin Lin

Jun Shi