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, Petr N. Computational identification of the lowest space-wise dependent coefficient of a parabolic equation. (English) Zbl 1481.65177 Appl. Math. Modelling 65, 361-376 (2019). MSC: 65M32 35R30 65M06 35K20 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Appl. Math. Modelling 65, 361--376 (2019; Zbl 1481.65177) 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
Su, LingDe; Vabishchevish, P. N.; Vasil’ev, V. I. The inverse problem of the simultaneous determination of the right-hand side and the lowest coefficients in parabolic equations. (English) Zbl 1368.65175 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, 633-639 (2017). MSC: 65M32 35R30 35K20 65M06 PDF BibTeX XML Cite \textit{L. Su} et al., Lect. Notes Comput. Sci. 10187, 633--639 (2017; Zbl 1368.65175) Full Text: DOI 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
Vabishchevich, Petr Numerical solution of nonstationary problems for a convection and a space-fractional diffusion equation. (English) Zbl 1348.65119 Int. J. Numer. Anal. Model. 13, No. 2, 296-309 (2016). MSC: 65M06 35R11 35K20 65M60 35K70 PDF BibTeX XML Cite \textit{P. Vabishchevich}, Int. J. Numer. Anal. Model. 13, No. 2, 296--309 (2016; Zbl 1348.65119) Full Text: Link OpenURL
Vabishchevich, N.; Vabishchevich, P. VAGO method for the solution of elliptic second-order boundary value problems. (English) Zbl 1216.65144 Math. Model. Anal. 15, No. 4, 533-545 (2010). MSC: 65N06 35J25 47F05 65D18 PDF BibTeX XML Cite \textit{N. Vabishchevich} and \textit{P. Vabishchevich}, Math. Model. Anal. 15, No. 4, 533--545 (2010; Zbl 1216.65144) Full Text: DOI OpenURL
Vabishchevich, P. N. Factorized SM-stable two-level schemes. (Russian, English) Zbl 1224.65240 Zh. Vychisl. Mat. Mat. Fiz. 50, No. 11, 1919-1925 (2010); translation in Comput. Math., Math. Phys. 50, No. 11, 1818-1824 (2010). MSC: 65N06 65L06 35K10 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Zh. Vychisl. Mat. Mat. Fiz. 50, No. 11, 1919--1925 (2010; Zbl 1224.65240); translation in Comput. Math., Math. Phys. 50, No. 11, 1818--1824 (2010) Full Text: DOI OpenURL
Jovanović, B. S.; Lemeshevsky, S. V.; Matus, P. P.; Vabishchevich, P. N. Stability of solutions of differential-operator and operator-difference equations with respect to perturbation of operators. (English) Zbl 1199.65306 Kragujevac J. Math. 30, 59-88 (2007). Reviewer: Dejan Bojović (Kragujevac) MSC: 65M12 65M06 35K20 35L20 PDF BibTeX XML Cite \textit{B. S. Jovanović} et al., Kragujevac J. Math. 30, 59--88 (2007; Zbl 1199.65306) OpenURL
Samarskii, Alexander A.; Vabishchevich, Peter N. Numerical methods for solving inverse problems of mathematical physics. (English) Zbl 1136.65105 Inverse and Ill-Posed Problems Series. Berlin: de Gruyter (ISBN 978-3-11-019666-5/hbk). xiv, 438 p. (2007). Reviewer: Andrey L. Karchevsky (Novosibirsk) MSC: 65N21 65-02 34A55 35R30 65L09 65M32 65L12 65L20 65L10 65M06 65M12 65N06 65N12 35K15 35J25 35Qxx PDF BibTeX XML Cite \textit{A. A. Samarskii} and \textit{P. N. Vabishchevich}, Numerical methods for solving inverse problems of mathematical physics. Berlin: de Gruyter (2007; Zbl 1136.65105) Full Text: DOI OpenURL
Samarski, A. A.; Vabishchevich, P. N. Additive schemes for evolutionary equations of the second order. (English) Zbl 1094.65081 HERMIS-\(\mu\pi\) 2, 107-114 (2001). MSC: 65M06 35L05 35L90 65J10 34G10 PDF BibTeX XML Cite \textit{A. A. Samarski} and \textit{P. N. Vabishchevich}, HERMIS-\(\mu\pi\) 2, 107--114 (2001; Zbl 1094.65081) OpenURL
Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. Coefficient stability of differential-operator equations and operator-difference schemes. (English) Zbl 0980.65094 Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 87-98 (1999). MSC: 65M12 65J10 34G10 65M06 35K15 PDF BibTeX XML Cite \textit{A. A. Samarskij} et al., in: Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA '98, Sofia, Bulgaria, August 19--23, 1998. Singapore: World Scientific. 87--98 (1999; Zbl 0980.65094) OpenURL
Samarskij, A. A.; Vabishchevich, P. N. Regularized additive full approximation schemes. (English. Russian original) Zbl 0959.65099 Dokl. Math. 57, No. 1, 83-86 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 4, 461-464 (1998). MSC: 65M06 34G10 35K15 65J10 65M12 PDF BibTeX XML Cite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, Dokl. Math. 57, No. 1, 461--464 (1998; Zbl 0959.65099); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 4, 461--464 (1998) OpenURL
Samarskii, A. A.; Vabishchevich, P. N. Additive schemes for evolutionary equations of the second order. (English) Zbl 0944.65099 Lipitakis, Elias A. (ed.), HERCMA ’98. Proceedings of the 4th Hellenic-European conference on Computer mathematics and its applications. Athens, Greece, September 24-26, 1998. In 2 vols. Athens: LEA, Athens University of Economics and Business, Department of Informatics. 760-767 (1998). MSC: 65M06 34G10 65L15 35L15 65L05 35K15 PDF BibTeX XML Cite \textit{A. A. Samarskii} and \textit{P. N. Vabishchevich}, in: HERCMA '98. Proceedings of the 4th Hellenic-European conference on Computer mathematics and its applications. Athens, Greece, September 24--16, 1998. In 2 vols. Athens: LEA, Athens University of Economics and Business, Department of Informatics. 760--767 (1998; Zbl 0944.65099) OpenURL
Abrashin, V. N.; Vabishchevich, P. N. Vector additive schemes for second-order evolution equations. (English. Russian original) Zbl 0951.65081 Differ. Equations 34, No. 12, 1673-1681 (1998); translation from Differ. Uravn. 34, No. 12, 1666-1674 (1998). MSC: 65M06 65M12 65J10 65F10 35K15 34G10 65M55 PDF BibTeX XML Cite \textit{V. N. Abrashin} and \textit{P. N. Vabishchevich}, Differ. Equations 34, No. 12, 1673--1681 (1998; Zbl 0951.65081); translation from Differ. Uravn. 34, No. 12, 1666--1674 (1998) OpenURL
Vabishchevich, P. N.; Gabov, A. Angular potential for solving an elliptic equation with variable coefficients. (English) Zbl 0432.35033 U.S.S.R. Comput. Math. Math. Phys. 19, No. 3, 95-109 (1980). MSC: 35J15 35A08 31A15 31A35 31B35 PDF BibTeX XML Cite \textit{P. N. Vabishchevich} and \textit{A. Gabov}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 3, 95--109 (1980; Zbl 0432.35033) Full Text: DOI OpenURL