Recurrence relations of orthogonal polynomials in H01 and H02-Reference-Cited by-同舟云学术

Recurrence relations of orthogonal polynomials in H₀¹ and H₀²

Published:2015 Issue:3 Volume:6 Page:404-409
ISSN:2185-4106
Container-title:Nonlinear Theory and Its Applications, IEICE
language:en
Short-container-title:NOLTA

Author:

Kinoshita Takehiko¹²,Watanabe Yoshitaka³⁴,Nakao Mitsuhiro T.⁵

Affiliation:

1. Center for the Promotion of Interdisciplinary Education and Research, Kyoto University

2. Research Institute for Mathematical Sciences, Kyoto University

3. Research Institute for Information Technology, Kyushu University

4. CREST, Japan Science and Technology Agency

5. National Institute of Technology, Sasebo College

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Rehabilitation,Physical Therapy, Sports Therapy and Rehabilitation,General Medicine

Link

https://www.jstage.jst.go.jp/article/nolta/6/3/6_404/_pdf

Reference4 articles.

1. [1] P.G. Ciarlet and J.L. Lions, Handbook of Numerical Analysis Volume 5: Techniques of Scientific Computing (Part 2), North-Holland, Amsterdam, 1997.

2. [2] S. Kimura and N. Yamamoto, “On explicit bounds in the error for the H₀¹-projection into piecewise polynomial spaces,” Bulletin Informatics and Cybernetics, vol. 31, pp. 109-115, 1999.

3. [3] T. Kinoshita and M.T. Nakao, “On very accurate enclosure of the optimal constant in the a priori error estimates for H₀²-projection,” Journal of Computational and Applied Mathematics, vol. 234, pp. 526-537, 2010.

4. [4] M.T. Nakao and T. Kinoshita, “On very accurate verification of solutions for boundary value problems by using spectral methods,” JSIAM Letters, vol. 1, pp. 21-24, 2009.

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