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Numerical solutions of the poisson equation

T. Matsuura,Saburou Saitoh,Dang Duc Trong

Poisson distribution

Mathematics

Mathematics Subject Classification

2004

Abstract In this article we shall give practical and numerical solutions of the Poisson equation on multidimensional spaces and show their numerical experiments by using computers. Keywords: Poisson equationInverse problemApproximation of functionsReproducing kernelTikhonov regularizationSobolev spaceGeneralized inverseApproximate inverseError estimateNoiseWeighted convolution inequalityMathematics Subject Classifications (2000): Primary 31A3031B1030C4035A35 Acknowledgements Saitoh wishes to express his deep thanks to Professor V.G. Romanov for his kind encouragement and suggestions on the paper Citation[5]. Indeed, he, in particular, proposed error estimate problems in our inversion formulas in Citation[5]. Notes E-mail: ddtrong@mathdep.hcmuns.edu.vn E-mail: ssaitoh@math.sci.gunma-u.ac.jp E-mail: ssaitoh@math.sci.gunma-u.ac.jp Additional informationNotes on contributorsD.D. Trong Footnote‡ E-mail: ddtrong@mathdep.hcmuns.edu.vn E-mail: ssaitoh@math.sci.gunma-u.ac.jp

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“Numerical solutions of the poisson equation” is a paper by T. Matsuura Saburou Saitoh Dang Duc Trong published in 2004. It has an Open Access status of “closed”. You can read and download a PDF Full Text of this paper here.