학술저널
A Numerical Method for the Minimum Norm Solution to the First Kind Integral Equations
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 6, No. 1
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1993.0625 - 43 (19 pages)
- 0
This paper introduces a numerical method approximating the minimum norm solution to the first kind integral equation K f = g with its kernel satisfying a certain property, where g belongs to the range space of K. Most of the existing expansion methods suffer from choosing a set of basis functions, whereas this method automatically provides an optimal set of basis functions approximating the minimum norm solution of Kf = g. Perturbation results and numerical experiments are also provided to analyze this method.
ABSTRACT
1. Introduction
2. Theoretical Results and Numerical Method
3. Perturbation Results
4. Numerical Results
5. Conclusions
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