On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems-Reference-Cited by-同舟云学术

On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems

Published:2013-07-26 Issue:4 Volume:126 Page:679-701
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Kinoshita Takehiko,Kimura Takuma,Nakao Mitsuhiro T.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/article/10.1007/s00211-013-0575-z/fulltext.html

Reference16 articles.

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2. Kinoshita, T., Kimura, T., Nakao, M.T.: A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations. J. Comput. Appl. Math. 236(6), 1622–1636 (2011)

3. Ladyženskaja, O.A., Solonnikov, V.A., Ural’ceva, N.N.: Linear and Quasi-linear Equations of Parabolic Type. AMS, Rhode Island (1968)

4. Luskin, M., Rannacher, R.: On the smoothing property of the Galerkin method for parabolic equations. SIAM J. Numer. Anal. 19(1), 93–113 (1982)

5. Minamoto, T.: Numerical existence and uniqueness proof for solutions of semilinear parabolic equations. Appl. Math. Lett. 14(6), 707–714 (2001)

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