학술논문
A Numerical Method for the Minimum Norm Solution to the First Kind Integral Equations
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- JAE HEON YUN
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 6, No. 1, 25~43쪽, 전체 19쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 1993.06.30
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국문 초록
영문 초록
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.
목차
ABSTRACT
1. Introduction
2. Theoretical Results and Numerical Method
3. Perturbation Results
4. Numerical Results
5. Conclusions
REFERENCES
키워드
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