Open AccessFAST SPLINE QUASICOLLOCATION SOLVERS OF INTEGRAL EQUATIONS
Author(s) -
Gennadi Vainikko,
Indrek Zolk
Publication year - 2007
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/1392-6292.2007.12.515-538
Subject(s) - solver , mathematics , spline (mechanical) , integral equation , fredholm integral equation , mathematical analysis , mathematical optimization , physics , thermodynamics
A fast (C, Cm) solver for linear Fredholm integral equations u = Tu+f with smooth data is constructed on the basis of a discrete version of the spline quasicollocation method. By a fast (C,Cm) solver we mean a discrete method that meets the optimal accuracy for f - Cm with minimal arithmetic work.