On the Error of the Finite Difference Method in l-dimensional Boundary Value Problems
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概要
- 論文の詳細を見る
The present paper is concerned with the error estimation of the finite difference method. Bounds of the error, which is committed in approximating the boundary value problem -y"+qy=f, y(0)=y(1)=0,(q≧0) by the corresponding difference equation, are given in some forms not involving the solution y and, hence, calculable without solving the original problem. Our treatments are based on a theorem concerning an operator of the type T^*T in a Hilbert space. The degree of convergence of the difference equation solution to the differential equation solution, as the difference interval approaches zero, is also studied.
- 社団法人日本物理学会の論文
- 1956-02-05
著者
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Fujita Hiroshi
Department Of Physics Faculty Of Science University Of Tokyo
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Fujita Hiroshi
Department Of Applied Physics Faculty Of Engineering University Of Tokyo
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