Numerical solutions of the poisson equation

International Journal of Phytoremediation

Volumn 83, Issue 10, 2004, Pages 1037-1051

  Matsuura, T ^a   Saitoh, S ^a   Trong, D D ^b  

^a GUNMA UNIVERSITY   (Japan)

^b VIETNAM NATIONAL UNIVERSITY   (Viet Nam)

Author keywords

30C40; 31B10; 35A35; Approximate inverse; Approximation of functions; Error estimate; Generalized inverse; Inverse problem; Mathematics Subject Classifications (2000): Primary 31A30; Noise; Poisson equation; Reproducing kernel; Sobolev space; Tikhonov regularization; Weighted convolution inequality

Indexed keywords

EID: 34547219769     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036810410001724616     Document Type: Article

References (7)

1. Asaduzzaman M, Matsuura T, Saitoh S, Constructions of approximate solutions for linear differential equations by reproducing kernels and inverse problems 4th ISAAC Toronto Congress Proceedings (to appear)
2. Byun D-W, Saitoh S, 1994 Best approximation in reproducing kernel Hilbert spaces Proc. of the 2nd International Colloquium on Numerical Analysis pp. 55–61 VSP Holland
3. Saitoh S, 1997 Integral transforms, reproducing kernels and their applications Pitman Res. Notes in Math. Series 369 Addison Wesley Longman Ltd UK
4. p -norm inequalities in convolutions In: Survey on Classical Inequalities (T. M. Rassias ed.) pp. 225–234 Kluwer Academic Publishers
5. Saitoh S, Approximate real inversion formulas of the Gaussian convolution Applicable Analysis (to appear)
6. Saitoh S, Applications of reproducing kernels to best approximations, Tikhonov regularizations and inverse problems 4th ISAAC Toronto Congress Proceedings (to appear)
7. Saitoh S, Best approximation, Tikhonov regularization and reproducing kernels Kodai. Math. J. (to appear)