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 PDFBibTeX XMLCite \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
Samarskii, Alexander; Vabishchevich, Petr Additive schemes for systems of time-dependent equations of mathematical physics. (English) Zbl 1032.65097 Dimov, Ivan (ed.) et al., Numerical methods and applications. 5th international conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 2542, 48-60 (2003). MSC: 65M06 35K45 74S20 35L55 76M20 78M20 PDFBibTeX XMLCite \textit{A. Samarskii} and \textit{P. Vabishchevich}, Lect. Notes Comput. Sci. 2542, 48--60 (2003; Zbl 1032.65097) Full Text: Link
Samarskii, A. A.; Matus, P. P.; Mazhukin, V. I.; Mozolevski, I. E. Monotone difference schemes for equations with mixed derivatives. (English) Zbl 1055.65115 Comput. Math. Appl. 44, No. 3-4, 501-510 (2002). MSC: 65N06 65N12 35J25 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{A. A. Samarskii} et al., Comput. Math. Appl. 44, No. 3--4, 501--510 (2002; Zbl 1055.65115) Full Text: DOI
Samarskij, A. A.; Vabishchevich, P. N.; Makarevich, E. L.; Matus, P. P. Stability of three-layer difference schemes on grids that are nonuniform with respect to time. (English. Russian original) Zbl 1046.65077 Dokl. Math. 63, No. 1, 106-108 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 6, 738-741 (2001). MSC: 65M12 65M06 65M50 35K90 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Dokl. Math. 63, No. 1, 738--741 (2001; Zbl 1046.65077); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 6, 738--741 (2001)
Mazhukin, V. I.; Malaphei, D. A.; Matus, P. P.; Samarskij, A. A. Difference schemes on irregular grids for equations of mathematical physics with variable coefficients. (English. Russian original) Zbl 1022.65092 Comput. Math. Math. Phys. 41, No. 3, 379-391 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 3, 407-419 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65M06 65M12 65M50 35K15 35K55 PDFBibTeX XMLCite \textit{V. I. Mazhukin} et al., Comput. Math. Math. Phys. 41, No. 3, 379--391 (2001; Zbl 1022.65092); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 3, 407--419 (2001)
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Shishkin, G. I. Monotone difference schemes for equations with mixed derivatives. (Russian. English summary) Zbl 1012.65103 Mat. Model. 13, No. 2, 17-26 (2001). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 65N06 65M06 65M12 65N12 35J25 35K20 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Mat. Model. 13, No. 2, 17--26 (2001; Zbl 1012.65103) Full Text: MNR
Samarskii, Alexander A.; Gavrilyuk, Ivan P.; Makarov, Vladimir L. Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces. (English) Zbl 1002.65101 SIAM J. Numer. Anal. 39, No. 2, 708-723 (2001). Reviewer: L.Hącia (Poznań) MSC: 65M12 65M06 65M20 65J10 34G10 35K90 PDFBibTeX XMLCite \textit{A. A. Samarskii} et al., SIAM J. Numer. Anal. 39, No. 2, 708--723 (2001; Zbl 1002.65101) Full Text: DOI
Samarskii, A. A. The theory of difference schemes. (English) Zbl 0971.65076 Pure and Applied Mathematics, Marcel Dekker. 240. New York, NY: Marcel Dekker. 786 p. (2001). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65M06 65M12 65N12 65-02 35Jxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{A. A. Samarskii}, The theory of difference schemes. New York, NY: Marcel Dekker (2001; Zbl 0971.65076)
Samarskij, A. A.; Gavrilyuk, I. P.; Makarov, V. L. Stability and regularization of three-layer difference schemes with unbounded operator coefficients in a Banach space. (English. Russian original) Zbl 1045.65078 Dokl. Math. 61, No. 2, 174-177 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 371, No. 1, 26-29 (2000). MSC: 65M12 65M06 35K90 65L12 65L20 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Dokl. Math. 61, No. 2, 26--29 (2000; Zbl 1045.65078); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 371, No. 1, 26--29 (2000)
Samarskii, Alexander A.; Korzyuk, Victor I.; Lemeshevsky, Sergey V.; Matus, Petr P. Finite-difference methods for problem of conjugation of hyperbolic and parabolic equations. (English) Zbl 1012.65087 Math. Models Methods Appl. Sci. 10, No. 3, 361-377 (2000). MSC: 65M06 35K15 35L15 65M12 65M15 PDFBibTeX XMLCite \textit{A. A. Samarskii} et al., Math. Models Methods Appl. Sci. 10, No. 3, 361--377 (2000; Zbl 1012.65087) Full Text: DOI
Samarskij, A. A.; Vabishchevich, P. N. Finite-difference approximations to the transport equation. II. (English. Russian original) Zbl 0981.65099 Differ. Equ. 36, No. 7, 1069-1077 (2000); translation from Differ. Uravn. 36, No. 7, 963-970 (2000). MSC: 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, Differ. Equ. 36, No. 7, 1069--1077 (2000; Zbl 0981.65099); translation from Differ. Uravn. 36, No. 7, 963--970 (2000) Full Text: DOI
Mazhukin, V. I.; Samarskij, A. A.; Chujko, M. M. The dynamic adaptation method for the numerical solution of nonstationary multidimensional Stefan problems. (English. Russian original) Zbl 1039.65059 Dokl. Math. 60, No. 2, 192-195 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 3, 307-310 (1999). MSC: 65M06 65M50 35K55 35R35 80A22 PDFBibTeX XMLCite \textit{V. I. Mazhukin} et al., Dokl. Math. 60, No. 2, 307--310 (1999; Zbl 1039.65059); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 3, 307--310 (1999)
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 PDFBibTeX XMLCite \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)
Samarskij, A. A.; Vabishchevich, P. N. Explicit-implicit difference schemes for convection-diffusion problems. (English) Zbl 0980.65087 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. 74-86 (1999). MSC: 65M06 65M12 65M15 35K15 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, 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. 74--86 (1999; Zbl 0980.65087)
Samarskiĭ, A. A.; Jovanović, B. S.; Matus, P. P.; Shcheglik, V. S. Finite difference schemes on time-adaptive meshes for problems with generalized solutions. (English) Zbl 0968.65055 Samarskiĭ, A. A. (ed.) et al., Finite difference methods: theory and applications. Proceedings of the 1st conference on finite difference methods held in Rousse, Bulgaria, August 10-13, 1997. Commack, NY: Nova Science Publishers. 207-219 (1999). MSC: 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{A. A. Samarskiĭ} et al., in: Finite difference methods: theory and applications. Proceedings of the 1st conference on finite difference methods held in Rousse, Bulgaria, August 10--13, 1997. Commack, NY: Nova Science Publishers. 207--219 (1999; Zbl 0968.65055)
Samarskij, A. A.; Vabishchevich, L. N. Additive schemes for problems of mathematical physics. (Additivnye skhemy dlya zadach matematicheskoj fiziki.) (Russian) Zbl 0963.65091 Moskva: Nauka. 320 p. (1999). Reviewer: Ulrich Langer (Linz) MSC: 65M06 35R05 65-02 65L05 34A30 35K15 35L15 65M12 65F10 65M55 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{L. N. Vabishchevich}, Additivnye skhemy dlya zadach matematicheskoj fiziki (Russian). Moskva: Nauka (1999; Zbl 0963.65091)
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 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Differ. Equations 35, No. 2, 151--186 (1999; Zbl 0938.65113); translation from Differ. Uravn. 35, No. 2, 152--187 (1999)
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Rychagov, V. G.; Smurov, I. Invariant difference schemes for parabolic equations with transformations of independent variables. (English) Zbl 0936.65101 Math. Models Methods Appl. Sci. 9, No. 1, 93-110 (1999). MSC: 65M06 35K15 65M12 65M15 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Math. Models Methods Appl. Sci. 9, No. 1, 93--110 (1999; Zbl 0936.65101) Full Text: DOI
Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P. Coefficient stability of operator-differential equations and operator-difference schemes. (Russian. English summary) Zbl 1189.34107 Mat. Model. 10, No. 8, 103-113 (1998). MSC: 34G10 35K90 47B39 65M06 PDFBibTeX XMLCite \textit{A. A. Samarskiĭ} et al., Mat. Model. 10, No. 8, 103--113 (1998; Zbl 1189.34107) Full Text: MNR
Samarskij, A. A.; Vabishchevich, P. N. Regularization principle and stability of difference schemes. (Russian. English summary) Zbl 0962.65076 Fundam. Prikl. Mat. 4, No. 3, 1097-1113 (1998). MSC: 65M12 65M06 35L45 35K15 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, Fundam. Prikl. Mat. 4, No. 3, 1097--1113 (1998; Zbl 0962.65076) Full Text: Link
Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. Stability of vector additive schemes. (English. Russian original) Zbl 0960.65093 Dokl. Math. 58, No. 1, 133-135 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 6, 746-748 (1998). MSC: 65M12 65L12 65L06 35K15 65M06 34A30 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Dokl. Math. 58, No. 1, 746--748 (1998; Zbl 0960.65093); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 6, 746--748 (1998)
Samarskij, A. A.; Korzyuk, V. I.; Lemeshevskij, S. V.; Matus, P. P. Difference schemes for the conjugation problem of a hyperbolic and a parabolic equation on moving grids. (English. Russian original) Zbl 0960.65082 Dokl. Math. 58, No. 1, 74-77 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 3, 321-324 (1998). MSC: 65M06 65M50 65M12 35K15 35L15 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Dokl. Math. 58, No. 1, 321--324 (1998; Zbl 0960.65082); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 3, 321--324 (1998)
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 PDFBibTeX XMLCite \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)
Vabishchevich, P. N.; Samarskij, A. A. Finite-difference schemes for time-dependent diffusion-convection problems. (English. Russian original) Zbl 0951.65076 Comput. Math. Math. Phys. 38, No. 2, 199-210 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 207-219 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65M06 35K15 65M12 PDFBibTeX XMLCite \textit{P. N. Vabishchevich} and \textit{A. A. Samarskij}, Comput. Math. Math. Phys. 38, No. 2, 1 (1998; Zbl 0951.65076); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 207--219 (1998)
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 PDFBibTeX XMLCite \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)
Samarskii, A. A.; Vabishchevich, P. N. Difference schemes for the transport equation. (English) Zbl 0944.65098 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. 57-67 (1998). MSC: 65M06 76M20 76N15 65M12 35K15 PDFBibTeX XMLCite \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. 57--67 (1998; Zbl 0944.65098)
Samarskij, A. A.; Vabishchevich, P. N. Finite-difference schemes for the transport equation. I. (English. Russian original) Zbl 0951.65083 Differ. Equations 34, No. 12, 1682-1692 (1998); translation from Differ. Uravn. 34, No. 12, 1675-1685 (1998). MSC: 65M06 35K20 65M12 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, Differ. Equations 34, No. 12, 1682--1692 (1998; Zbl 0951.65083); translation from Differ. Uravn. 34, No. 12, 1675--1685 (1998)
Samarskii, Alexander A.; Matus, Petr P.; Vabishchevich, Petr N. Stability and convergence of two-level difference schemes in integral with respect to time norms. (English) Zbl 0939.65082 Math. Models Methods Appl. Sci. 8, No. 6, 1055-1070 (1998). MSC: 65J10 65M12 34G10 65L05 65L20 65M06 35K90 65M15 PDFBibTeX XMLCite \textit{A. A. Samarskii} et al., Math. Models Methods Appl. Sci. 8, No. 6, 1055--1070 (1998; Zbl 0939.65082) Full Text: DOI
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P. Finite-difference scheme on nonuniform grids for a two-dimensional parabolic equation. (English. Russian original) Zbl 0959.65098 Differ. Equations 34, No. 7, 982-990 (1998); translation from Differ. Uravn. 34, No. 7, 980-987 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 65M06 65M12 65M15 35K15 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Differ. Equations 34, No. 7, 982--990 (1998; Zbl 0959.65098); translation from Differ. Uravn. 34, No. 7, 980--987 (1998)
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 PDFBibTeX XML
Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. Stability of difference schemes in time-integral norms. (English. Russian original) Zbl 0982.65099 Dokl. Math. 55, No. 3, 441-443 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 354, No. 6, 745-747 (1997). MSC: 65M12 34G10 65J10 65M06 35K15 35K90 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Dokl. Math. 55, No. 3, 745--747 (1997; Zbl 0982.65099); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 354, No. 6, 745--747 (1997)
Vabishchevich, P. W.; Samarskij, A. A. Stability of difference schemes for convection-diffusion problems. (English. Russian original) Zbl 0945.65106 Comput. Math. Math. Phys. 37, No. 2, 184-188 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 2, 188-192 (1997). Reviewer: A.A.Tretiakov (Siedlce) MSC: 65M12 35K15 65M06 PDFBibTeX XMLCite \textit{P. W. Vabishchevich} and \textit{A. A. Samarskij}, Comput. Math. Math. Phys. 37, No. 2, 188--192 (1997; Zbl 0945.65106); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 2, 188--192 (1997)
Samarskij, A. A.; Jovanović, Boško S.; Matus, P. P.; Shcheglik, V. S. Finite-difference schemes on adaptive time grids for parabolic equations with generalized solutions. (English. Russian original) Zbl 0929.65061 Differ. Equations 33, No. 7, 981-990 (1997); translation from Differ. Uravn. 33, No. 7, 975-984 (1997). Reviewer: Cherugation MSC: 65M06 65M12 35K05 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Differ. Equations 33, No. 7, 981--990 (1997; Zbl 0929.65061); translation from Differ. Uravn. 33, No. 7, 975--984 (1997)
Samarskij, A. A.; Vabishchevich, P. N. Factorized finite-difference schemes for the domain decomposition in convection-diffusion problems. (English. Russian original) Zbl 0928.65102 Differ. Equations 33, No. 7, 972-979 (1997); translation from Differ. Uravn. 33, No. 7, 967-974 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 65M06 65M55 65M15 76R50 65M12 35K15 76R10 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, Differ. Equations 33, No. 7, 972--979 (1997; Zbl 0928.65102); translation from Differ. Uravn. 33, No. 7, 967--974 (1997)
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 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, in: Fundamental'nye osnovy matematicheskogo modelirovaniya. Mos\-kva: Nauka. 5--97 (1997; Zbl 0958.65099)
Samarskij, A. A. An introduction to numerical methods. (Vvedenie v chislennye metody). 3rd rev. ed. (Vvedenie v chislennye metody.) (Russian) Zbl 0890.65002 Moskva: Nauka. 240 p. (1997). Reviewer: L.Hącia (Poznań) MSC: 65-01 65D05 65D32 65F05 65F10 65L10 65L05 65N12 35K05 65L12 65M06 65N06 PDFBibTeX XMLCite \textit{A. A. Samarskij}, Vvedenie v chislennye metody (Russian). 3rd rev. ed. Moskva: Nauka (1997; Zbl 0890.65002)
Samarskij, A. A.; Vabishchevich, P. N. Factorized regional additive schemes for convection/diffusion problems. (English. Russian original) Zbl 0885.65094 Dokl. Math. 53, No. 1, 113-116 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 6, 742-745 (1996). MSC: 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, Dokl. Math. 53, No. 1, 113--116 (1996; Zbl 0885.65094); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 6, 742--745 (1996)
Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. Finite-difference approximations of higher accuracy order on nonuniform grids. (English. Russian original) Zbl 0879.65057 Differ. Equations 32, No. 2, 269-280 (1996); translation from Differ. Uravn. 32, No. 2, 265-274 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 65L12 65L20 34B05 35L15 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{A. A. Samarskij} et al., Differ. Equations 32, No. 2, 269--280 (1996; Zbl 0879.65057); translation from Differ. Uravn. 32, No. 2, 265--274 (1996)
Samarskij, A. A.; Vabishchevich, P. N. Vector additive schemes of domain decomposition for parabolic problems. (English. Russian original) Zbl 0863.65056 Differ. Equations 31, No. 9, 1522-1528 (1995); translation from Differ. Uravn. 31, No. 9, 1563-1569 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 65M55 65M12 35K15 65M06 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, Differ. Uravn. 31, No. 9, 1 (1995; Zbl 0863.65056); translation from Differ. Uravn. 31, No. 9, 1563--1569 (1995)
Samarskij, A. A.; Gulin, A. V. A criterion of asymptotic stability for symmetrizable difference schemes. (English. Russian original) Zbl 0865.65068 Differ. Equations 31, No. 7, 1207-1210 (1995); translation from Differ. Uravn. 31, No. 7, 1257-1260 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 65M12 65M06 35K05 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{A. V. Gulin}, Differ. Uravn. 31, No. 7, 1 (1995; Zbl 0865.65068); translation from Differ. Uravn. 31, No. 7, 1257--1260 (1995)
Samarskii, A. A.; Galaktionov, V. A.; Kurdyumov, S. P.; Mikhailov, A. P. Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld. (English) Zbl 1020.35001 de Gruyter Expositions in Mathematics. 19. Berlin: Walter de Gruyter. xxi, 533 p. (1995). MSC: 35-02 35K55 35B44 PDFBibTeX XMLCite \textit{A. A. Samarskii} et al., Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld. Berlin: Walter de Gruyter (1995; Zbl 1020.35001)
Samarskii, Aleksander A. Theory of stability and regularization of difference schemes and its application to ill-posed problems of mathematical physics. (English) Zbl 0814.65092 Appl. Numer. Math. 16, No. 1-2, 51-64 (1994). Reviewer: Qin Mengzhao (Beijing) MSC: 65M30 65M12 65M06 35G10 35K25 35R25 PDFBibTeX XMLCite \textit{A. A. Samarskii}, Appl. Numer. Math. 16, No. 1--2, 51--64 (1994; Zbl 0814.65092) Full Text: DOI
Samarskij, A. A.; Vabishchevich, P. N. Regularized difference schemes for equations with nonselfadjoint operators. (English) Zbl 0913.65074 Math. Model. Comput. Exp. 1, No. 1, 43-50 (1993). Reviewer: J.Vaníček (Praha) MSC: 65M06 65M12 65M30 35K15 35R25 PDFBibTeX XMLCite \textit{A. A. Samarskij} and \textit{P. N. Vabishchevich}, Math. Model. Comput. Exp. 1, No. 1, 43--50 (1993; Zbl 0913.65074)
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 PDFBibTeX XMLCite \textit{A. A. Samarskii} and \textit{P. N. Vabishchevich}, in: Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP; Moscow: TVP Science Publishers. 166--173 (1992; Zbl 0785.65096)
Samarskii, Aleksandr A.; Vabishchevich, Peter N. Regularized difference schemes for evolutionary second order equations. (English) Zbl 0763.65073 Math. Models Methods Appl. Sci. 2, No. 3, 295-315 (1992). Reviewer: P.K.Mahanti (Ranchi) MSC: 65M06 65M12 35G10 35K25 PDFBibTeX XMLCite \textit{A. A. Samarskii} and \textit{P. N. Vabishchevich}, Math. Models Methods Appl. Sci. 2, No. 3, 295--315 (1992; Zbl 0763.65073) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On the method of stationary states for quasilinear parabolic equations. (English. Russian original) Zbl 0701.35010 Math. USSR, Sb. 67, No. 2, 449-471 (1990); translation from Mat. Sb. 180, No. 8, 995-1016 (1989). Reviewer: J.Wang MSC: 35B05 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Math. USSR, Sb. 67, No. 2, 449--471 (1990; Zbl 0701.35010); translation from Mat. Sb. 180, No. 8, 995--1016 (1989) Full Text: DOI
Samarskij, A. A. Theory of difference schemes. Textbook. (Teoriya raznostnykh skhem. Uchebnoe posobie). 3rd ed., rev. (Teoriya raznostnykh skhem. Uchebnoe posobie.) (Russian) Zbl 0874.65077 Moskva: Nauka, 616 p. (1989). MSC: 65N06 65-01 65N12 65F10 65M06 65M12 65H10 65J10 35J25 35J05 35K05 35L05 74S20 76M20 PDFBibTeX XMLCite \textit{A. A. Samarskij}, Teoriya raznostnykh skhem. Uchebnoe posobie (Russian). 3rd ed., rev. Moskva: Nauka (1989; Zbl 0874.65077)
Bunkin, F. V.; Galaktionov, V. A.; Kirichenko, N. A.; Kurdyumov, S. P.; Samarskij, A. A. Localization in a nonlinear problem of radiation-induced ignition. (English. Russian original) Zbl 0694.35073 Sov. Phys., Dokl. 33, No. 9, 661-663 (1988); translation from Dokl. Akad. Nauk SSSR 302, No. 1, 68-71 (1988). MSC: 35K05 35K60 35B99 PDFBibTeX XMLCite \textit{F. V. Bunkin} et al., Sov. Phys., Dokl. 33, No. 9, 661--663 (1988; Zbl 0694.35073); translation from Dokl. Akad. Nauk SSSR 302, No. 1, 68--71 (1988)
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On the structure of limit distributions of unbounded solutions of quasilinear parabolic equations. (English. Russian original) Zbl 0685.35017 Sov. Math., Dokl. 38, No. 1, 138-142 (1989); translation from Dokl. Akad. Nauk SSSR 301, No. 4, 781-785 (1988). Reviewer: S.Zheng MSC: 35B40 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Math., Dokl. 38, No. 1, 138--142 (1988; Zbl 0685.35017); translation from Dokl. Akad. Nauk SSSR 301, No. 4, 781--785 (1988)
Bunkin, F. V.; Galaktionov, V. A.; Kirichenko, N. A.; Kurdyumov, S. P.; Samarskij, A. A. A nonlinear boundary value problem of ignition by radiation. (English. Russian original) Zbl 0677.35056 U.S.S.R. Comput. Math. Math. Phys. 28, No. 2, 157-164 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 549-559 (1988). Reviewer: T.A.Dzhangveladze MSC: 35K60 80A25 35A05 35K20 PDFBibTeX XMLCite \textit{F. V. Bunkin} et al., U.S.S.R. Comput. Math. Math. Phys. 28, No. 2, 157--164 (1988; Zbl 0677.35056); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 549--559 (1988) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. Correction to “On asymptotic “eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation”. (English. Russian original) Zbl 0652.35059 Math. USSR, Sb. 59, No. 2, 407 (1988); translation from Mat. Sb., Nov. Ser. 131(173), No. 3(11), 413 (1986). MSC: 35K55 35P05 35B35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Math. USSR, Sb. 59, No. 2, 407 (1988; Zbl 0652.35059); translation from Mat. Sb., Nov. Ser. 131(173), No. 3(11), 413 (1986) Full Text: DOI
Samarskiĭ, A. A.; Galaktionov, V. A.; Kurdyumov, S. P.; Mikhaĭlov, A. P. Peaking regimes in problems for quasilinear parabolic equations. (Режимы с обострением в задачах для квазилинеĭных параболических уравнений.) (Russian) Zbl 0631.35002 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoĭ Literatury. 480 p. R. 5.10 (1987). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 35-02 35B40 35K59 34G20 35K10 80-02 80A20 80A25 PDFBibTeX XML
Samarskij, A. A. An introduction to numerical methods. Textbook. (Vvedenie v chislennye metody. Uchebnoe posobie). 2nd ed., rev. and compl. (Russian) Zbl 0608.65001 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 288 p. (1987). MSC: 65-01 39A10 65D05 65D32 65F05 65F10 65L10 65L05 65N12 65N22 35K05 PDFBibTeX XML
Galaktionov, V. A.; Dorodnitsyn, V. A.; Elenin, G. G.; Kurdyumov, S. P.; Samarskij, A. A. A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures. (English. Russian original) Zbl 0699.35134 J. Sov. Math. 41, No. 5, 1222-1292 (1988); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh. 28, 95-206 (1986). MSC: 35K55 35-02 35A07 35B05 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., J. Sov. Math. 41, No. 5, 1222--1292 (1986; Zbl 0699.35134); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh. 28, 95--206 (1986) Full Text: DOI
Akhromeeva, T. S.; Kurdyumov, S. P.; Malinetskij, G. G.; Samarskij, A. A. Classification of solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point. (English. Russian original) Zbl 0699.35017 J. Sov. Math. 41, No. 5, 1292-1356 (1988); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh. 28, 207-313 (1986). MSC: 35B32 35K57 37D45 PDFBibTeX XMLCite \textit{T. S. Akhromeeva} et al., J. Sov. Math. 41, No. 5, 1292--1356 (1986; Zbl 0699.35017); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh. 28, 207--313 (1986) Full Text: DOI
Galaktionov, V. A.; Dorodnitsyn, V. A.; Elenin, G. G.; Kurdyumov, S. P.; Samarskij, A. A. The quasilinear equation of heat conduction with a source: conditions with strain, localization, symmetry, exact solutions, asymptotics, structures. (Russian) Zbl 0654.35045 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 28, 95-206 (1986). MSC: 35K55 35A07 35B05 35B40 PDFBibTeX XML
Akhromeeva, T. S.; Kurdyumov, S. P.; Malinetskij, G. G.; Samarskij, A. A. On the classification of solutions of a system of nonlinear diffusion equations in the neighbourhood of a bifurcation point. (Russian) Zbl 0635.35007 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 28, 207-213 (1986). MSC: 35B32 35K57 37D45 PDFBibTeX XML
Kurdyumov, S. P.; Kurkina, E. S.; Potapov, A. B.; Samarskij, A. A. Complex multidimensional structures of the combustion of a nonlinear medium. (English. Russian original) Zbl 0633.35034 U.S.S.R. Comput. Math. Math. Phys. 26, No. 1, 148-158 (1986); translation from Zh. Vychisl. Mat. Mat. Fiz. 26, No. 8, 1189-1205 (1986). Reviewer: I.Ginchev MSC: 35K55 35P05 80A20 35K05 PDFBibTeX XMLCite \textit{S. P. Kurdyumov} et al., U.S.S.R. Comput. Math. Math. Phys. 26, No. 1, 148--158 (1986; Zbl 0633.35034); translation from Zh. Vychisl. Mat. Mat. Fiz. 26, No. 8, 1189--1205 (1986) Full Text: DOI
Akhromeeva, T. S.; Kurdyumov, S. P.; Malinetskij, G. G.; Samarskij, A. A. Two-component dissipative systems in a neighbourhood of a bifurcation point. (Russian) Zbl 0628.35046 Mathematical simulation. Processes in nonlinear media, Collect. sci. Works, Moskva 1986, 7-59 (1986). Reviewer: L.Reizius MSC: 35K55 35B32 35B05 37D45 PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Posashkov, S. A.; Samarskij, A. A. A nonlinear elliptic problem with a complex spectrum of solutions. (English. Russian original) Zbl 0619.35043 U.S.S.R. Comput. Math. Math. Phys. 26, No. 2, 48-54 (1986); translation from Zh. Vychisl. Mat. Mat. Fiz. 26, No. 3, 398-407 (1986). Reviewer: Ya.A.Rojtberg MSC: 35J60 35K55 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., U.S.S.R. Comput. Math. Math. Phys. 26, No. 2, 48--54 (1986; Zbl 0619.35043); translation from Zh. Vychisl. Mat. Mat. Fiz. 26, No. 3, 398--407 (1986) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Posashkov, S. A.; Samarskij, A. A. A quasilinear parabolic equation with complex spectrum of unbounded automodel solutions. (Russian) Zbl 0616.35043 Mathematical simulation. Processes in nonlinear media, Collect. sci. Works, Moskva 1986, 142-182 (1986). Reviewer: P.Popivanov MSC: 35K60 35A30 35J65 35K15 PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On asymptotic ”eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation. (English. Russian original) Zbl 0607.35049 Math. USSR, Sb. 54, 421-455 (1986); translation from Mat. Sb., Nov. Ser. 126(168), No. 4, 435-472 (1985). Reviewer: R.Sperb MSC: 35K55 35B40 35K15 35B35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Math. USSR, Sb. 54, 421--455 (1986; Zbl 0607.35049); translation from Mat. Sb., Nov. Ser. 126(168), No. 4, 435--472 (1985) Full Text: DOI EuDML
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On asymptotic stability of self-similar solutions of the heat equation with a nonlinear sink. (English. Russian original) Zbl 0639.35036 Sov. Math., Dokl. 31, 271-276 (1985); translation from Dokl. Akad. Nauk SSSR 281, 23-27 (1985). Reviewer: I.Zino MSC: 35K55 35B35 35B40 35K15 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Math., Dokl. 31, 271--276 (1985; Zbl 0639.35036); translation from Dokl. Akad. Nauk SSSR 281, 23--27 (1985)
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. A new class of asymptotic ”eigenfunctions” for Cauchy’s problem for a nonlinear parabolic equation. (English) Zbl 0612.35059 U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 151-155 (1985). MSC: 35K05 35K60 35B99 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 151--155 (1985; Zbl 0612.35059) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. A parabolic system of quasilinear equations. II. (English. Russian original) Zbl 0599.35085 Differ. Equations 21, 1049-1062 (1985); translation from Differ. Uravn. 21, No. 9, 1544-1559 (1985). Reviewer: P.Chocholatý MSC: 35K55 35K40 35B30 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Differ. Equations 21, 1049--1062 (1985; Zbl 0599.35085); translation from Differ. Uravn. 21, No. 9, 1544--1559 (1985)
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On a new class of asymptotic ”eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation. (Russian) Zbl 0596.35054 Zh. Vychisl. Mat. Mat. Fiz. 25, No. 12, 1833-1839 (1985). Reviewer: V.Burjan MSC: 35K05 35K60 35P99 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Zh. Vychisl. Mat. Mat. Fiz. 25, No. 12, 1833--1839 (1985; Zbl 0596.35054)
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On approximate self-similar solutions of a class of quasilinear heat equations with a source. (English. Russian original) Zbl 0573.35049 Math. USSR, Sb. 52, 155-180 (1985); translation from Mat. Sb., Nov. Ser. 124(166), No. 2(6), 163-188 (1984). Reviewer: I.Zino MSC: 35K60 35B40 35K20 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Math. USSR, Sb. 52, 155--180 (1985; Zbl 0573.35049); translation from Mat. Sb., Nov. Ser. 124(166), No. 2(6), 163--188 (1984) Full Text: DOI EuDML
Samarskij, A. A. Investigation of accuracy of difference schemes for problems with generalized solutions. (Russian) Zbl 0613.65103 Current problems of mathematical physics and numerical mathematics, Collect. Artic., Moskva 1984, 174-183 (1984). Reviewer: P.Polcar MSC: 65N15 65N06 35J25 35K20 PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On the method of stationary states for nonlinear evolution parabolic problems. (English. Russian original) Zbl 0602.35049 Sov. Math., Dokl. 30, 554-557 (1984); translation from Dokl. Akad. Nauk SSSR 278, 1296-1300 (1984). Reviewer: C.Y.Chan MSC: 35K15 35K45 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Math., Dokl. 30, 554--557 (1984; Zbl 0602.35049); translation from Dokl. Akad. Nauk SSSR 278, 1296--1300 (1984)
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. IV. (English. Russian original) Zbl 0574.35049 Math. USSR, Sb. 49, 125-149 (1984); translation from Mat. Sb., Nov. Ser. 121(163), No. 2, 131-155 (1983). MSC: 35K60 35B40 35A35 35K15 35K20 35B05 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Math. USSR, Sb. 49, 125--149 (1984; Zbl 0574.35049); translation from Mat. Sb., Nov. Ser. 121(163), No. 2, 131--155 (1983) Full Text: DOI EuDML
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. Asymptotic stability of invariant solutions of nonlinear heat equations with a source. (English. Russian original) Zbl 0556.35075 Differ. Equations 20, 461-476 (1984); translation from Differ. Uravn. 20, No. 4, 613-632 (1984). Reviewer: O.Vejvoda MSC: 35K55 35B35 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Differ. Equations 20, 461--476 (1984; Zbl 0556.35075); translation from Differ. Uravn. 20, No. 4, 613--632 (1984)
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. III. (English) Zbl 0549.35068 Math. USSR, Sb. 48, 1-18 (1984). MSC: 35K60 35K05 35B40 35B05 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Math. USSR, Sb. 48, 1--18 (1984; Zbl 0549.35068) Full Text: DOI
Samarskij, A. A. Theorie der Differenzenverfahren. Übers. aus dem Russischen von Giesbert Stoyan. Wiss. Red.: Frieder Kuhnert. (German) Zbl 0543.65067 Mathematik und ihre Anwendungen in Physik und Technik, Bd. 40. Leipzig: Akademische Verlagsgesellschaft Geest&Portig K.-G. 356 S. M 69.00 (1984). MSC: 65Nxx 65Mxx 65-01 35J05 35J25 35K05 35L05 39A10 65F10 65H10 65J10 65Q05 PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On a parabolic system of quasilinear equations. I. (English. Russian original) Zbl 0556.35071 Differ. Equations 19, 1558-1574 (1983); translation from Differ. Uravn. 19, No. 12, 2123-2140 (1983). Reviewer: S.Tersian MSC: 35K55 35A35 35B30 35D05 35B45 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Differ. Equations 19, 1558--1574 (1983; Zbl 0556.35071); translation from Differ. Uravn. 19, No. 12, 2123--2140 (1983)
Galaktionov, V. A.; Samarskij, A. A. On difference solutions of a class of quasi-linear parabolic equations. (English) Zbl 0552.65068 U.S.S.R. Comput. Math. Math. Phys. 23, No. 4, 40-44 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 4, 40--44 (1983; Zbl 0552.65068) Full Text: DOI
Elenin, G. G.; Kurdyumov, S. P.; Samarskij, A. A. Non-stationary dissipative structures in a nonlinear heat-conducting medium. (English) Zbl 0548.35073 U.S.S.R. Comput. Math. Math. Phys. 23, No. 2, 80-86 (1983). MSC: 35K60 35B05 80A20 PDFBibTeX XMLCite \textit{G. G. Elenin} et al., U.S.S.R. Comput. Math. Math. Phys. 23, No. 2, 80--86 (1983; Zbl 0548.35073) Full Text: DOI
Galaktionov, V. A.; Samarskij, A. A. Difference solutions of a class of quasilinear parabolic equations. I. (English) Zbl 0543.65068 U.S.S.R. Comput. Math. Math. Phys. 23, No. 3, 83-91 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 3, 83--91 (1983; Zbl 0543.65068) Full Text: DOI
Samarskij, A. A. Theory of difference schemes. Textbook. (Teoriya raznostnykh skhem. Uchebnoe posobie). 2nd ed., rev. (Russian) Zbl 0543.65066 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 616 p. R. 1.60 (1983). MSC: 65Nxx 65Mxx 65-01 35J05 35J25 35K05 35L05 39A10 65F10 65H10 65J10 65Q05 PDFBibTeX XML
Elenin, G. G.; Kurdyumov, S. P.; Samarskij, A. A. Non-stationary dissipative structures in a nonlinear heat-conducting medium. (Russian) Zbl 0533.35054 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 2, 380-390 (1983). Reviewer: N. A. Lar’kin MSC: 35K60 35B05 PDFBibTeX XMLCite \textit{G. G. Elenin} et al., Zh. Vychisl. Mat. Mat. Fiz. 23, No. 2, 380--390 (1983; Zbl 0533.35054)
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. III. (Russian) Zbl 0529.35045 Mat. Sb., N. Ser. 120(162), No. 1, 3-21 (1983). MSC: 35K60 35B40 35B05 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Mat. Sb., Nov. Ser. 120(162), No. 1, 3--21 (1983; Zbl 0529.35045) Full Text: EuDML
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. II. (English. Russian original) Zbl 0529.35044 Math. USSR, Sb. 46, 439-458 (1983); translation from Mat. Sb., Nov. Ser. 118(160), 435-455 (1982). MSC: 35K60 35B40 35B05 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Math. USSR, Sb. 46, 439--458 (1983; Zbl 0529.35044); translation from Mat. Sb., Nov. Ser. 118(160), 435--455 (1982) Full Text: DOI
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. I. (English. Russian original) Zbl 0529.35043 Math. USSR, Sb. 46, 291-321 (1983); translation from Mat. Sb. Nov. Ser. 118(160), 291-322 (1982). MSC: 35K60 35B40 35B05 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Math. USSR, Sb. 46, 291--321 (1983; Zbl 0529.35043); translation from Mat. Sb. Nov. Ser. 118(160), 291--322 (1982) Full Text: DOI EuDML
Samarskij, A. A. On new methods of studying the asymptotic properties of parabolic equations. (English) Zbl 0528.35046 Proc. Steklov Inst. Math. 158, 165-175 (1983). MSC: 35K05 35B40 80A20 35K15 35K20 PDFBibTeX XMLCite \textit{A. A. Samarskij}, Proc. Steklov Inst. Math. 158, 165--175 (1983; Zbl 0528.35046)
Galaktionov, V. A.; Samarskij, A. A. On difference solutions of a certain class of quasilinear parabolic equations. II. (Russian) Zbl 0526.65072 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 4, 831-838 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Zh. Vychisl. Mat. Mat. Fiz. 23, No. 4, 831--838 (1983; Zbl 0526.65072)
Galaktionov, V. A.; Samarskij, A. A. On difference solutions of a certain class of quasilinear parabolic equations. I. (Russian) Zbl 0526.65071 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 3, 646-659 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Zh. Vychisl. Mat. Mat. Fiz. 23, No. 3, 646--659 (1983; Zbl 0526.65071)
Samarskij, A. A. An introduction to numerical methods. Textbook. (Vvedenie v chislennye metody. Uchebnoe posobie). (Russian) Zbl 0543.65001 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 272 p. R. 0.75 (1982). Reviewer: J.Albrycht MSC: 65-01 39A10 65D05 65D32 65F05 65F10 65L10 65L05 65N12 65N22 35K05 PDFBibTeX XML
Tichonov, Andrej N.; Samarskij, Aleksandr A.; Budak, Boris M. Problemi della fisica matematica. Traduzione del russo di Alexandr Machov. (Italian) Zbl 0513.35001 Mosca: Edizioni Mir. 748 p. (1982). MSC: 35-01 35Axx 35J15 35K10 35L10 PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Heat localization in nonlinear media. (English. Russian original) Zbl 0495.35044 Differ. Equations 17, 1141-1154 (1982); translation from Differ. Uravn. 17, 1826-1841 (1981). MSC: 35K60 35B05 80A20 74A15 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Differ. Equations 17, 1141--1154 (1982; Zbl 0495.35044); translation from Differ. Uravn. 17, 1826--1841 (1981)
Samarskij, A. A. Some problems in differential equation theory. (English. Russian original) Zbl 0519.35069 Differ. Equations 16, 1221-1228 (1981); translation from Differ. Uravn. 16, 1925-1935 (1980). MSC: 35Q99 35K20 35J25 35A05 82B05 PDFBibTeX XMLCite \textit{A. A. Samarskij}, Differ. Equations 16, 1221--1228 (1981; Zbl 0519.35069); translation from Differ. Uravn. 16, 1925--1935 (1980)
Samarskij, A. A. On new methods of the investigation of asymptotic properties of parabolic equations. (Russian) Zbl 0495.35039 Tr. Mat. Inst. Steklova 158, 153-162 (1981). MSC: 35K05 35B40 80A20 35K15 35K20 PDFBibTeX XMLCite \textit{A. A. Samarskij}, Tr. Mat. Inst. Steklova 158, 153--162 (1981; Zbl 0495.35039)
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Asymptotic stage of regimes with peaking and effective heat localization in nonlinear heat-conduction problems. (English) Zbl 0458.35041 Differ. Equations 16, 743-750 (1981). MSC: 35K05 35K55 35B40 80A20 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Differ. Equations 16, 743--750 (1981; Zbl 0458.35041)
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Asymptotic stage of regimes with peaking and effective heat localization in nonlinear heat-conduction problems. (English. Russian original) Zbl 0449.35046 Differ. Equations 16, 743-750 (1981); translation from Differ. Uravn. 16, 1196-1204 (1980). MSC: 35K05 35K55 35B40 80A20 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Differ. Equations 16, 743--750 (1981; Zbl 0449.35046); translation from Differ. Uravn. 16, 1196--1204 (1980)
Budak, B. M.; Samarskij, A. A.; Tikhonov, A. N. A collection of problems in mathematical physics. (Sbornik zadach po matematicheskoj fizike). 3rd ed. (Russian) Zbl 0544.35002 Moskva: Izdat. “Nauka”. 686 p. R. 1.70 (1980). MSC: 35-01 35J15 35K10 35L10 35Axx PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Unbounded solutions of the Cauchy problem for the parabolic equation \(u_t=\nabla(u^{\alpha\nabla u})+u^\beta\). (English. Russian original) Zbl 0515.35045 Sov. Phys., Dokl. 25, 458-459 (1980); translation from Dokl. Akad. Nauk SSSR 252, 1362-1364 (1980). MSC: 35K65 35K15 35B35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Phys., Dokl. 25, 458--459 (1980; Zbl 0515.35045); translation from Dokl. Akad. Nauk SSSR 252, 1362--1364 (1980)
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. An approach to the comparison of solutions of parabolic equations. (English) Zbl 0453.35005 U.S.S.R. Comput. Math. Math. Phys. 19, No. 6, 91-102 (1980). MSC: 35B05 35K55 35K65 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., U.S.S.R. Comput. Math. Math. Phys. 19, No. 6, 91--102 (1980; Zbl 0453.35005) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Comparison of solutions to parabolic equations. (English. Russian original) Zbl 0434.35011 Sov. Phys., Dokl. 24, 732-734 (1979); translation from Dokl. Akad. Nauk SSSR 248, 586-589 (1979). MSC: 35B05 35K20 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Phys., Dokl. 24, 732--734 (1979; Zbl 0434.35011); translation from Dokl. Akad. Nauk SSSR 248, 586--589 (1979)
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Comparison of the solutions of parabolic equations by means of pointwise a priori estimations of the highest derivative. (Russian) Zbl 0419.35004 Prepr. Inst. Prikl. Mat. Akad. Nauk SSSR, Moscow 21, 80 p. (1979). MSC: 35B05 35B45 35K10 PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Über ein Verfahren zum Vergleich der Lösungen parabolischer Gleichungen. (Russian) Zbl 0418.35012 Zh. Vychisl. Mat. Mat. Fiz. 19, 1451-1461 (1979). MSC: 35B05 35K55 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Zh. Vychisl. Mat. Mat. Fiz. 19, 1451--1461 (1979; Zbl 0418.35012)
Samarskij, A. A. Theory of difference schemes. (Teoriya raznostnykh skhem). (Russian) Zbl 0462.65055 Moskva: “Nauka”. 656 p. R. 1.62 (1977). MSC: 65Nxx 65-01 65Mxx 35J05 35J25 39A10 65Q05 35K05 35L05 65J10 65H10 65F10 PDFBibTeX XML
Goloviznin, V. M.; Samarskii, A. A.; Favorskii, A. P. A variational approach to constructing finite-difference mathematical models in hydrodynamics. (English. Russian original) Zbl 0381.76051 Sov. Phys., Dokl. 22(1977), 432-434 (1978); translation from Dokl. Akad. Nauk SSSR 235, 1285-1288 (1977). MSC: 76N10 65Q05 35Kxx PDFBibTeX XMLCite \textit{V. M. Goloviznin} et al., Sov. Phys., Dokl. 22, 432--434 (1977; Zbl 0381.76051); translation from Dokl. Akad. Nauk SSSR 235, 1285--1288 (1977)