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10.

Матус П.П.

О корректности разностных схем для полулинейного параболиче-

ского уравнения с обобщенными решениями // Журнал вычислительной мате-

матики и математической физики. 2010. Т. 50. № 12. С. 2155–2175.

REFERENCES

[1] Martinson L.K., Malov Yu.I. Differentsial’nye uravneniya matematicheskoy fiziki

[Differential equations of mathematical physics]. Moscow, MGTU im. N.E. Baumana

Publ., 2002. 368 p.

[2] Martinson L.K. Issledovanie matematicheskoy modeli protsessa nelineynoy

teploprovodnosti v sredakh s ob’emnym pogloshcheniem. V kn.: Matematicheskoe

modelirovanie. Protsessy v nelineynykh sredakh [Research into the process

mathematical model of nonlinear thermal conductivity in spatial absorption media. In

the book: Mathematic Simulation. Processes in Nonlinear Media]. Moscow, Nauka

Publ., 1986, pp. 279–309.

[3] Maslov V.P., Danilov V.G., Volosov K.A. Matematicheskoe modelirovanie protsessov

teplomassoperenosa [Mathematic simulation of heat and mass transfer processes].

Moscow, Nauka Publ., 1987. 362 p.

[4] Martinson L.K., Chigireva

O.Yu.

Spatial Localization of Thermal Perturbations

in Nonlinear Process of Heat Conduction.

Vestn. Mosk. Gos. Tekh. Univ.

im. N.E. Baumana, Estestv. Nauki

[Herald of the Bauman Moscow State Tech. Univ.,

Nat. Sci.], 2013, no. 4, pp. 27–33 (in Russ.).

[5] Martinson L.K., Chigireva

O.Yu.

Boundary-value problems for quasilinear equations

of the parabolic type. Irreversible processes in nature and engineering: Proceedings

of the Seventh Russian National Conference. Neobratimye protsessy v prirode i

tekhnike: Tr. Sed’moy Vseross. konf. V 3 ch. Moscow, 2013. Part II, pp. 32–33 (in

Russ.).

[6] Samarskiy A.A., Galaktionov V.A., Kurdyumov S.P., Mikhaylov A.P. Rezhimy s

obostreniem v zadachakh dlya kvazilineynykh parabolicheskikh uravneniy [Blow-

up regimes in problems for quasilinear parabolic equations]. Moscow, Nauka Publ.,

1987. 480 p.

[7] Tikhonov A.N., Samarskiy A.A. Uravneniya matematicheskoy fiziki [Equations of

mathematical physics]. Moscow, MGU Publ., 2004. 798 p.

[8] Samarskiy A.A. Teoriya raznostnykh skhem [Difference scheme theory]. Moscow,

Nauka Publ., 1977. 656 p.

[9] Amosov A.A., Dubinskiy Yu.A., Kopchenova N.V. Vychislitel’nye metody dlya

inzhenerov [Computational approaches for engineers]. Moscow, Vyssh. shk. Publ.,

1994. 544 p.

[10] Matus P.P. Correctness of difference schemes for the semilinear parabolic equation

with generalized solutions.

Zh. Vychisl. Mat. Mat. Fiz

. [Comput. Math. Math. Phys.],

2010, vol. 50, no. 12, pp. 2155–2175 (in Russ.).

Статья поступила в редакцию 22.06.2015

Мартинсон Леонид Карлович — д-р физ.-мат. наук, профессор кафедры “Физика”

МГТУ им. Н.Э. Баумана.

МГТУ им. Н.Э. Баумана, Российская Федерация, 105005, Москва, 2-я Бауманская ул.,

д. 5.

Martinson L.K. —

D.Sc.

(Phys.-Math.), Professor, Department of Physics, Bauman

Moscow State Technical University.

Bauman Moscow State Technical University, 2-ya Baumanskaya ul. 5, Moscow, 105005

Russian Federation.

ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. “Естественные науки”. 2015. № 6

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