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Found 67 Documents (Results 1–67)

Analysis of defects and harmonic grid generation in domains with angles and cutouts. (English. Russian original) Zbl 07800805

Comput. Math. Math. Phys. 63, No. 12, 2402-2434 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 12, 2096-2129 (2023).
MSC:  65-XX 31-XX
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Analyticity and pseudo-analyticity in the small parameter method. (English. Russian original) Zbl 07786494

Comput. Math. Math. Phys. 63, No. 11, 1996-2004 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1806-1814 (2023).
MSC:  34E05 34E10 34G20
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Parasitic eigenvalues of spectral problems for the Laplacian with third-type boundary conditions. (English. Russian original) Zbl 07752258

Comput. Math. Math. Phys. 63, No. 7, 1237-1253 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1128-1144 (2023).
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Traveling waves in fully coupled networks of linear oscillators. (English. Russian original) Zbl 1503.34086

Comput. Math. Math. Phys. 62, No. 1, 66-83 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 1, 71-89 (2022).
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Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics. (English. Russian original) Zbl 1512.35031

Comput. Math. Math. Phys. 61, No. 11, 1811-1833 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1850-1872 (2021).
MSC:  35B25 35K51 35K58
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Nonlocal conservation law in a free submerged jet. (English. Russian original) Zbl 1493.76031

Comput. Math. Math. Phys. 61, No. 10, 1630-1639 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 10, 1646-1655 (2021).
MSC:  76D25 76M45 76D10
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Numerical-statistical and analytical study of asymptotics for the average multiplication particle flow in a random medium. (English. Russian original) Zbl 1489.82066

Comput. Math. Math. Phys. 61, No. 8, 1330-1338 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 8, 1353-362 (2021).
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Projector approach to the Butuzov-Nefedov algorithm for asymptotic solution of a class of singularly perturbed problems in a critical case. (English. Russian original) Zbl 1465.34073

Comput. Math. Math. Phys. 60, No. 12, 2007-2018 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 12, 2073-2084 (2020).
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Computation of periodic solutions to pendulum type systems with a small parameter. (English. Russian original) Zbl 1459.34107

Comput. Math. Math. Phys. 60, No. 12, 1990-2006 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 12, 2055-2072 (2020).
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Asymptotics of the Riemann-Hilbert problem for a magnetic reconnection model in plasma. (English. Russian original) Zbl 1455.35259

Comput. Math. Math. Phys. 60, No. 11, 1839-1854 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1898-1914 (2020).
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Singular points and asymptotics in the singular Cauchy problem for the parabolic equation with a small parameter. (English. Russian original) Zbl 1450.35072

Comput. Math. Math. Phys. 60, No. 5, 821-832 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 841-852 (2020).
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Propagation of electromagnetic waves in an open planar dielectric waveguide filled with a nonlinear medium. II: TM waves. (English. Russian original) Zbl 1451.78023

Comput. Math. Math. Phys. 60, No. 3, 427-447 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 429-450 (2020).
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Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. (English. Russian original) Zbl 1450.35119

Comput. Math. Math. Phys. 60, No. 8, 1348-1360 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394-1407 (2020).
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Influence of the second delay on local dynamics. (English. Russian original) Zbl 1454.34106

Comput. Math. Math. Phys. 60, No. 8, 1261-1270 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1304-1314 (2020).
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Effect of heat on deformations in material with a defect. (English. Russian original) Zbl 1429.74038

Comput. Math. Math. Phys. 59, No. 9, 1470-1474 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1532-1536 (2019).
MSC:  74F05 35Q74
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Asymptotics of the solution of a differential equation in a saddle-node bifurcation. (English. Russian original) Zbl 1433.34075

Comput. Math. Math. Phys. 59, No. 9, 1454-1469 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1516-1531 (2019).
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Steady-state heat distribution in bimaterial with an interface crack. II. (English. Russian original) Zbl 1427.80003

Comput. Math. Math. Phys. 59, No. 7, 1172-1184 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 7, 1230-1242 (2019).
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Analytical solutions of the internal gravity wave equation in a stratified medium with shear flows. (English. Russian original) Zbl 1461.76089

Comput. Math. Math. Phys. 59, No. 7, 1121-1130 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 7, 1174-1183 (2019).
MSC:  76B55 76B70 86A05
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Propagation of electromagnetic waves in an open planar dielectric waveguide filled with an nonlinear medium. I: TE waves. (English. Russian original) Zbl 1427.78023

Comput. Math. Math. Phys. 59, No. 6, 958-977 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 5, 838-858 (2019).
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Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source. (English. Russian original) Zbl 1423.35232

Comput. Math. Math. Phys. 59, No. 4, 573-582 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 4, 611-620 (2019).
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Various manifestations of wood anomalies in locally distorted quantum waveguides. (English. Russian original) Zbl 1421.78020

Comput. Math. Math. Phys. 58, No. 11, 1838-1855 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1911-1931 (2018).
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On the existence of an infinite number of eigenvalues in one nonlinear problem of waveguide theory. (English. Russian original) Zbl 1518.34027

Comput. Math. Math. Phys. 58, No. 10, 1600-1609 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018).
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Examples of parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points. (English. Russian original) Zbl 1425.65075

Comput. Math. Math. Phys. 58, No. 6, 881-897 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 914-933 (2018).
MSC:  65L05 34E10 74A05
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Perturbation formulas for a nonlinear eigenvalue problem for ordinary differential equations. (English. Russian original) Zbl 1400.34031

Comput. Math. Math. Phys. 58, No. 6, 858-862 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 890-898 (2018).
MSC:  34B07 34B09 34E10
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Quasi-stable structures in circular gene networks. (English. Russian original) Zbl 1398.34066

Comput. Math. Math. Phys. 58, No. 5, 659-679 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 5, 704-714 (2018).
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Asymptotics of the spectrum of a linearized problem of the stability of a stationary flow of an incompressible polymer fluid with a space charge. (English. Russian original) Zbl 1444.35128

Comput. Math. Math. Phys. 58, No. 1, 102-117 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 1, 108-122 (2018).
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Time-independent reaction-diffusion equation with a discontinuous reactive term. (English. Russian original) Zbl 1372.35020

Comput. Math. Math. Phys. 57, No. 5, 854-866 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 5, 854-866 (2017).
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Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum. (English. Russian original) Zbl 1367.81065

Comput. Math. Math. Phys. 57, No. 1, 156-174 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 144-162 (2017).
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Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer. (English. Russian original) Zbl 1362.35029

Comput. Math. Math. Phys. 56, No. 8, 1414-1425 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 8, 1428-1440 (2016).
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On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field. (English. Russian original) Zbl 1350.35111

Comput. Math. Math. Phys. 56, No. 4, 626-636 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 4, 639-649 (2016).
MSC:  35L60 35L45
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Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation. (English. Russian original) Zbl 1350.35013

Comput. Math. Math. Phys. 56, No. 4, 593-611 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 4, 605-624 (2016).
MSC:  35B25 35K20 35K58
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Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane. (English. Russian original) Zbl 1337.35020

Comput. Math. Math. Phys. 55, No. 11, 1867-1883 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 11, 1904-1920 (2015).
MSC:  35C05 78A45 35J25
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Eigenmodes of a thin elastic layer between periodic rigid profiles. (English. Russian original) Zbl 1336.74028

Comput. Math. Math. Phys. 55, No. 10, 1684-1697 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1713-1726 (2015).
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Instability of a nonlinear system of two oscillators under main and combination resonances. (English. Russian original) Zbl 1332.34075

Comput. Math. Math. Phys. 55, No. 1, 53-70 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 1, 56-73 (2015).
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The Cauchy problem for Tikhonov’s system in the case of a multiple root of the degenerate equation. (English. Russian original) Zbl 1326.34089

Comput. Math. Math. Phys. 55, No. 1, 31-42 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 1, 34-45 (2015).
MSC:  34E05 34E15 34A12
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Propagation and interaction of short waves in a homogeneous transversally isotropic elastic medium. (English. Russian original) Zbl 1329.35307

Comput. Math. Math. Phys. 54, No. 10, 1550-1559 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 10, 1608-1617 (2014).
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On contrast structures in a system of singulary perturbed equations. (English. Russian original) Zbl 1036.34062

Comput. Math. Math. Phys. 41, No. 7, 1026-1037 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 7, 1078-1089 (2001).
MSC:  34E05 34B15 34E15
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Internal layer in a boundary value problem for a system of two singularly perturbed second-order equations with the same order of singularity. (English. Russian original) Zbl 1036.34065

Comput. Math. Math. Phys. 41, No. 7, 1015-1025 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 7, 1067-1077 (2001).
MSC:  34E05 34B15 34E15
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Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations. (English. Russian original) Zbl 1029.45008

Comput. Math. Math. Phys. 41, No. 7, 1005-1014 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 7, 1057-1066 (2001).
MSC:  45M05 45G10 45J05
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On analytical and numerical solutions to the radiative transfer problem with a reflecting surface. (English. Russian original) Zbl 1022.65139

Comput. Math. Math. Phys. 41, No. 8, 1158-1168 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1217-1228 (2001).
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Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation. (English. Russian original) Zbl 1036.34061

Comput. Math. Math. Phys. 41, No. 8, 1108-1121 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1165-1179 (2001).
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Method for solving a class of problems of diffraction in a waveguide. (English. Russian original) Zbl 1007.78007

Comput. Math. Math. Phys. 40, No. 9, 1322-1329 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 9, 1378-1385 (2000).
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On a periodic solution of the parabolic singularly perturbed equation with different powers of a small parameter multiplying the first and second derivatives. (English. Russian original) Zbl 0993.35009

Comput. Math. Math. Phys. 40, No. 8, 1145-1158 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 8, 1192-1205 (2000).
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Construction of asymptotics for the solution of a singularly perturbed parabolic problem with nonsmooth boundary functions. (English. Russian original) Zbl 0993.35010

Comput. Math. Math. Phys. 40, No. 8, 1129-1144 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 8, 1176-1191 (2000).
MSC:  35B25 35C20 35K65
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A limit theorem for a Tikhonov system of equations. (English. Russian original) Zbl 0999.34056

Comput. Math. Math. Phys. 40, No. 5, 669-679 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 5, 703-713 (2000).
MSC:  34E15 34D15
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A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter. (English. Russian original) Zbl 0993.35036

Comput. Math. Math. Phys. 40, No. 6, 837-859 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 6, 877-899 (2000).
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On the behavior of sound field in the problem of diffraction in a waveguide in the presence of a mean flow. (English. Russian original) Zbl 0994.76096

Comput. Math. Math. Phys. 40, No. 7, 1046-1053 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 1090-1097 (2000).
MSC:  76Q05 76M45
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Asymptotics of solutions to the optimal control problem for time-independent Navier-Stokes equations. (English. Russian original) Zbl 0991.49003

Comput. Math. Math. Phys. 40, No. 7, 1017-1026 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 1061-1070 (2000).
MSC:  49J20 35Q30 76D05 35B37 35B40
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Blow-up regimes in a demographic system: Scenario of increase in the nonlinearity. (English. Russian original) Zbl 0994.91058

Comput. Math. Math. Phys. 40, No. 2, 227-239 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 2, 238-251 (2000).
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Passage to the limit in quasilinear integro-differential equations with weakly convergent coefficients. (English. Russian original) Zbl 0990.45005

Comput. Math. Math. Phys. 40, No. 3, 408-418 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 3, 428-439 (2000).
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Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints. (English. Russian original) Zbl 0989.49006

Comput. Math. Math. Phys. 40, No. 1, 51-61 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 1, 54-64 (2000).
MSC:  49J15 49J45 49M99 65K10 93C73 93B40
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An asymptotic solution to the problem of convection-diffusion around a sphere. (English. Russian original) Zbl 0962.76094

Comput. Math. Math. Phys. 38, No. 5, 771-776 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 5, 801-806 (1998).
MSC:  76R99 76M45 76D07 80A20
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Construction of periodic solutions with a given accuracy by the method of the small parameter. (English. Russian original) Zbl 0960.34033

Comput. Math. Math. Phys. 38, No. 5, 698-703 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 5, 728-733 (1998).
MSC:  34C25 34A45 34E10
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Asymptotics of the solution to the singularly perturbed nonstationary neutron transport equation. (English. Russian original) Zbl 0949.45007

Comput. Math. Math. Phys. 38, No. 2, 279-287 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 289-297 (1998).
MSC:  45K05 82D75 45M05
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Uniform asymptotics of a solution to a singularly perturbed parabolic equation with the angular characteristic of the degenerate equation. (English. Russian original) Zbl 0940.35103

Comput. Math. Math. Phys. 37, No. 2, 189-197 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 2, 193-201 (1997).
MSC:  35K20 35B25 35C10
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Generators of new iterated methods for nonlinear equations with a small parameter. (English. Russian original) Zbl 0945.34042

Comput. Math. Math. Phys. 37, No. 5, 545-551 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 5, 559-565 (1997).
MSC:  34E10 35G30 35F30
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On certain special functions that arise in the solution of ordinary differential equations by asymptotic methods. (English. Russian original) Zbl 0916.65013

Comput. Math. Math. Phys. 36, No. 11, 1547-1566 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 11, 80-102 (1996).
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