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Found 107 Documents (Results 1–100)

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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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
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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).
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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).
MSC:  65M06 35K15 65M12
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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).
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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).
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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).
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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).
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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).
MSC:  65M12 35K15 65M06
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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
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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).
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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).
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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
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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).
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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).
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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).
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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).
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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).
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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).
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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
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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
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