Fast spline quasicollocation solvers of integral equations
DOI: https://doi.org/10.3846/1392-6292.2007.12.515-538Abstract
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.
First Published Online: 14 Oct 2010
Keywords:
fast solvers, Fredholm integral equation, complexity, quasicollocation method, two grid iterations, splines, interpolation, quasi‐interpolationHow to Cite
Vainikko, G., & Zolk, I. (2007). Fast spline quasicollocation solvers of integral equations. Mathematical Modelling and Analysis, 12(4), 515-538. https://doi.org/10.3846/1392-6292.2007.12.515-538
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Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.
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2007-12-31
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Copyright
Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Vainikko, G., & Zolk, I. (2007). Fast spline quasicollocation solvers of integral equations. Mathematical Modelling and Analysis, 12(4), 515-538. https://doi.org/10.3846/1392-6292.2007.12.515-538