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Iliev, Oleg P. (ed.) et al., Numerical solution of partial differential equations: Theory, algorithms, and their applications. Papers based on the international symposium, Sozopol, Bulgaria, June 7–8, 2013. In Honor of Professor Raytcho Lazarov’s 40 years of research in computational methods and applied mathematics and on the occasion of his 70th birthday. New York, NY: Springer (ISBN 978-1-4614-7171-4/hbk; 978-1-4614-7172-1/ebook). Springer Proceedings in Mathematics & Statistics 45, 279-302 (2013).

MSC: 65J08 34G10 65L05 35K90 65M55 65M06

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Full Text: DOI

Vabishchevich, P. N.

Operator-difference schemes for a class of systems of evolution equations. (English. Russian original) Zbl 1269.65080

Math. Notes 93, No. 1, 36-49 (2013); translation from Mat. Zametki 93, No. 1, 29-44 (2013).

Reviewer: Petr Sváček (Praha)

MSC: 65M06 35K90 65M12

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Vabishchevich, Petr N.

On a new class of additive (splitting) operator-difference schemes. (English) Zbl 1251.65125

Math. Comput. 81, No. 277, 267-276 (2012).

Reviewer: Weizhong Dai (Ruston)

MSC: 65M06 65M12 35K45

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Full Text: DOI arXiv

Vabishchevich, P. N.

Additive schemes for certain operator-differential equations. (Russian, English) Zbl 1224.35328

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 12, 2144-2154 (2010); translation in Comput. Math. Math. Phys. 50, No. 12, 2033-2043 (2010).

MSC: 35Q30 76D05 65M12

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Full Text: DOI

Vabishchevich, P. N.

Regularized additive operator-difference schemes. (Russian, English) Zbl 1224.65213

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 3, 449-457 (2010); translation in Comput. Math., Math. Phys. 50, No. 3, 428-436 (2010).

MSC: 65M06 65M12 35F25

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Full Text: DOI

Vabishchevich, P. N.

Two-level finite difference scheme of improved accuracy order for time-dependent problems of mathematical physics. (Russian, English) Zbl 1224.65184

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 1, 118-130 (2010); translation in Comput. Math., Math. Phys. 50, No. 1, 112-123 (2010).

MSC: 65L12 65L06 65Z05 65L10

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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

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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

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Samarskij, A. A.; Vabishchevich, P. N.; Gulin, A. V.

Stability of operator-difference schemes. (English. Russian original) Zbl 0938.65113

Differ. Equations 35, No. 2, 151-186 (1999); translation from Differ. Uravn. 35, No. 2, 152-187 (1999).

Reviewer: L.G.Vulkov (Russe)

MSC: 65M12 65M06 35K15

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Vabishchevich, P. N.; Verakhovskij, V. A.

Domain decomposition vector schemes for second-order evolution equations. (English. Russian original) Zbl 0965.65119

Mosc. Univ. Comput. Math. Cybern. 1998, No. 2, 1-8 (1998); translation from Vestn. Mosk. Univ., Ser. XV 1998, No. 2, 5-9 (1998).

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC: 65M55 65M06 65M12 35L15 05C80 68R10

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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

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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

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Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P.

The strong stability of differential-operator and operator- difference schemes. (English. Russian original) Zbl 0976.65073

Dokl. Math. 56, No. 2, 726-728 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 4, 455-457 (1997).

MSC: 65L07 65L20 34G10 65J10 65L12 65M06 65M12 35K90

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Samarskii, A. A.; Vabishchevich, P. N.

Additive difference schemes and iteration methods for problems of mathematical physics. (English. Russian original) Zbl 0985.65107

J. Math. Sci., New York 104, No. 6, 1657-1660 (2001); translation from Obchisl. Prikl. Mat. 82, 79-83 (1997).

MSC: 65M12 65M06 65J10

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Full Text: DOI

Samarskij, A. A.; Vabishchevich, P. N.

Difference schemes for the solution of inverse probelms in mathematical physics. (Russian) Zbl 0958.65099

Makarov, I. M. (ed.), Fundamental principles of mathematical modelling. Moskva: Nauka. Kibernetika: Neogranichennye Vozmozhnosti i Vozmozhnye Ogranicheniya. 5-97 (1997).

Reviewer: Pavol Chocholatý (Bratislava)

MSC: 65M32 65M12 35R30 35K15 65M06 35L15 35L40

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Vabishchevich, P. N.

Numerical solution by the quasi-reversibility method of unstable problems for the first-order evolution equation. (English. Russian original) Zbl 1331.47086

Comput. Math. Model. 6, No. 1, 39-60 (1995); translation from Matematicheskoe modelirovanie i reshenie obratnykh zadach matematicheskoĭ fiziki, Moscow University Press, Moscow, 1993, 93-124 (1993).

MSC: 47J35 65L12 65L09 46C05 65L07 47A45 47A52

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Full Text: DOI

Vabishchevich, P. N.; Matus, P. P.; Shcheglik, V. S.

Operator-difference equations of divergent type. (English. Russian original) Zbl 0852.65069

Differ. Equations 30, No. 7, 1088-1099 (1994); translation from Differ. Uravn. 30, No. 7, 1175-1186 (1994).

Reviewer: V.Chernyatin (Szczecin)

MSC: 65M06 65M12 35K05 35L05

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Vabishchevich, P. N.; Matus, P. P.; Shcheglik, V. S.

Difference schemes with variable weights for second order evolution equations. (Russian. English summary) Zbl 0819.65093

Dokl. Akad. Nauk Belarusi 38, No. 3, 13-15 (1994).

Reviewer: A.Galántai (Miskolc-Egyetemvaros)

MSC: 65J10 65L05 65L12 65M06 65M12 34G10 35G10 35K25

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Vabishchevich, P. N.; Matus, P. P.

Two-level difference schemes with variable weights. (Russian. English summary) Zbl 0804.65095

Dokl. Akad. Nauk Belarusi 37, No. 6, 15-17 (1993).

MSC: 65M12 65M06 35G10 35K25

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Samarskii, A. A.; Vabishchevich, P. N.

Regularization of difference schemes. (English) Zbl 0785.65096

Tikhonov, Andrej N. (ed.) et al., Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP. 166-173 (1992).

MSC: 65M06 65M30 65M12 35G10 35K25

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Found 34 Documents (Results 1–34)

Splitting schemes with additive representation of the operator at the time derivative. (English. Russian original) Zbl 07855100

Three-level schemes with double change in the time step. (English. Russian original) Zbl 1530.65095

Splitting schemes for some second order evolutionary equations. (English) Zbl 1499.65199

Splitting methods for solution decomposition in nonstationary problems. (English) Zbl 1508.65101

Solution decomposition schemes for second-order evolution equations. (English. Russian original) Zbl 1489.65073

Splitting Schemes for Some Second-Order Evolution Equations. arXiv:2011.08585

Alternating triangular schemes for second-order evolution equations. (English. Russian original) Zbl 1450.65087

Numerical solution of time-dependent problems with different time scales. (English. Russian original) Zbl 1406.65038

Numerical solution of time-dependent problems with a fractional-power elliptic operator. (English. Russian original) Zbl 1457.65136

Vector domain decomposition schemes for parabolic equations. (English. Russian original) Zbl 1454.65110

Factorized schemes of second-order accuracy for numerically solving unsteady problems. (English) Zbl 1359.65083

A priori estimation of a time step for numerically solving parabolic problems. (English) Zbl 1488.65126

Explicit-implicit splitting schemes for some systems of evolutionary equations. (English) Zbl 1310.65092

Additive operator-difference schemes. Splitting schemes. (English) Zbl 1286.65105

Domain decomposition scheme for first-order evolution equations with nonselfadjoint operators. (English) Zbl 1275.65032

Operator-difference schemes for a class of systems of evolution equations. (English. Russian original) Zbl 1269.65080

On a new class of additive (splitting) operator-difference schemes. (English) Zbl 1251.65125

Additive schemes for certain operator-differential equations. (Russian, English) Zbl 1224.35328

Regularized additive operator-difference schemes. (Russian, English) Zbl 1224.65213

Two-level finite difference scheme of improved accuracy order for time-dependent problems of mathematical physics. (Russian, English) Zbl 1224.65184

Numerical methods for solving inverse problems of mathematical physics. (English) Zbl 1136.65105

Additive schemes for evolutionary equations of the second order. (English) Zbl 1094.65081

Stability of operator-difference schemes. (English. Russian original) Zbl 0938.65113

Domain decomposition vector schemes for second-order evolution equations. (English. Russian original) Zbl 0965.65119

Regularized additive full approximation schemes. (English. Russian original) Zbl 0959.65099

Vector additive schemes for second-order evolution equations. (English. Russian original) Zbl 0951.65081

The strong stability of differential-operator and operator- difference schemes. (English. Russian original) Zbl 0976.65073

Additive difference schemes and iteration methods for problems of mathematical physics. (English. Russian original) Zbl 0985.65107

Difference schemes for the solution of inverse probelms in mathematical physics. (Russian) Zbl 0958.65099

Numerical solution by the quasi-reversibility method of unstable problems for the first-order evolution equation. (English. Russian original) Zbl 1331.47086

Operator-difference equations of divergent type. (English. Russian original) Zbl 0852.65069

Difference schemes with variable weights for second order evolution equations. (Russian. English summary) Zbl 0819.65093

Two-level difference schemes with variable weights. (Russian. English summary) Zbl 0804.65095

Regularization of difference schemes. (English) Zbl 0785.65096

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