Vabishchevich, P. N. An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. (English) Zbl 1466.65166 J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021). MSC: 65N06 35J25 35R11 65F60 65D32 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021; Zbl 1466.65166) Full Text: DOI arXiv OpenURL
Vabishchevich, P. N. Numerical solution of time-dependent problems with a fractional-power elliptic operator. (English. Russian original) Zbl 1457.65136 Comput. Math. Math. Phys. 58, No. 3, 394-409 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 3, 414-430 (2018). MSC: 65M60 65M22 35J25 35R11 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Comput. Math. Math. Phys. 58, No. 3, 394--409 (2018; Zbl 1457.65136); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 3, 414--430 (2018) Full Text: DOI OpenURL
Vabishchevich, Petr N. Numerical solution of time-dependent problems with fractional power elliptic operator. (English) Zbl 1383.65128 Comput. Methods Appl. Math. 18, No. 1, 111-128 (2018). MSC: 65M60 35K20 35R11 65M55 65M06 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Comput. Methods Appl. Math. 18, No. 1, 111--128 (2018; Zbl 1383.65128) Full Text: DOI arXiv OpenURL
Vabishchevich, Petr N. A singularly perturbed boundary value problems with fractional powers of elliptic operators. (English) Zbl 1368.65210 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 141-152 (2017). MSC: 65N06 35J25 35R11 35B25 35K70 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Lect. Notes Comput. Sci. 10187, 141--152 (2017; Zbl 1368.65210) Full Text: DOI arXiv OpenURL