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Found 130 Documents (Results 1–100)

Stable difference schemes for certain parabolic equations. (Russian, English) Zbl 1313.35144

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 7, 1186-1193 (2014); translation in Comput. Math. Math. Phys. 54, No. 7, 1159-1166 (2014).
MSC:  35K40 35K57 65M06
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Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. (Russian, English) Zbl 1313.35093

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 7, 1149- 1170 (2014); translation in Comput. Math. Math. Phys. 54, No. 7, 1122-1143 (2014).
MSC:  35J40 35B30
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On a singularly perturbed mixed problem for a linear parabolic equation with nonlinear boundary conditions. (Russian, English) Zbl 1313.35190

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 1, 80-88 (2014); translation in Comput. Math. Math. Phys. 54, No. 1, 74-82 (2014).
MSC:  35K60
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Solvability analysis of a nonlocal boundary value problem by applying the contraction mapping principle. (Russian, English) Zbl 1299.35097

Zh. Vychisl. Mat. Mat. Fiz. 53, No. 10, 1679-1683 (2013); translation in Comput. Math. Math. Phys. 53, No. 10, 1494-1498 (2013).
MSC:  35J05 65M06
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Efficient computational algorithms for solving one class of fractional boundary value problems. (Russian, English) Zbl 1299.35308

Zh. Vychisl. Mat. Mat. Fiz. 53, No. 7, 1107-1107 (2013); translation in Comput. Math. Math. Phys. 53, No. 7, 920-932 (2013).
MSC:  35R11 65M99
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To the theory of asymptotically stable second-order accurate two-stage scheme for an inhomogeneous parabolic initial-boundary value problem. (Russian, English) Zbl 1299.35150

Zh. Vychisl. Mat. Mat. Fiz. 53, No. 4, 538-574 (2013); translation in Comput. Math. Math. Phys. 53, No. 4, 396-430 (2013).
MSC:  35K20
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Regularity of the solution and well-posedness of a mixed problem for an elliptic system with quadratic nonlinearity in gradients. (Russian, English) Zbl 1274.35383

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 10, 1866-1882 (2012); translation in Comput. Math. Math. Phys. 52, No. 10, 1428-1444 (2012).
MSC:  35Q82 35G61 82D37
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Solving the order reduction phenomenon in variable step size quasi-consistent Nordsieck methods. (Russian, English) Zbl 1274.65193

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 11, 2004-2022 (2012); translation in Comput. Math. Math. Phys. 52, No. 11, 1547-1564 (2012).
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On the asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case. (Russian, English) Zbl 1274.35212

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 7, 1267-1276 (2012); translation in Comput. Math. Math. Phys. 52, No. 7, 1035-1043 (2012).
MSC:  35L04
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Method for constructing solutions of linear ordinary differential equations with constant coefficients. (Russian, English) Zbl 1249.34027

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 2, 237-252 (2012); translation in Comput. Math. Math. Phys. 52, No. 2, 219-234 (2012).
MSC:  34A30 34A12 34A45
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Numerical solution of the Cauchy problem for the Painlevé I and II equations. (Russian, English) Zbl 1249.34261

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 3, 379-387 (2012); translation in Comput. Math. Math. Phys. 52, No. 3, 321-329 (2012).
MSC:  34M55 65L05
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Excitation of electromagnetic oscillations in a domain with chiral filling. (Russian, English) Zbl 1274.78063

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 9, 1721-1728 (2011); translation in Comput. Math. Math. Phys. 51, No. 9, 1614-1621 (2011).
MSC:  78A48 65M60
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Approximation of the Jacobian matrix in \((m, 2)\)-methods for solving stiff problems. (Russian, English) Zbl 1249.65149

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 12, 2194-2208 (2011); translation in Comput. Math. Math. Phys. 51, No. 12, 2065-2078 (2011).
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A class of one-step one-stage methods for stiff systems of ordinary differential equations. (Russian, English) Zbl 1249.65144

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 7, 1251-1265 (2011); translation in Comput. Math. Math. Phys. 51, No. 7, 1167-1180 (2011).
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Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators. (Russian, English) Zbl 1249.65175

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 6, 1121-1132 (2011); translation in Comput. Math. Math. Phys. 51, No. 6, 1050-1060 (2011).
MSC:  65M06 65M12 35L60
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Numerical implementations of an iterative method with boundary condition splitting as applied to the nonstationary Stokes problem in the gap between coaxial cylinders. (Russian, English) Zbl 1224.35326

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 11, 1998-2016 (2010); translation in Comput. Math., Math. Phys. 50, No. 11, 1895-1913 (2010).
MSC:  35Q30 76D05 65M38
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On first- and second-order difference schemes for differential-algebraic equations of index at most two. (Russian, English) Zbl 1224.65183

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 11, 1909-1918 (2010); translation in Comput. Math., Math. Phys. 50, No. 11, 1808-1817 (2010).
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On numerical implementations of a new iterative method with boundary condition splitting for solving the nonstationary Stokes problem in a strip with periodicity condition. (Russian, English) Zbl 1224.35325

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 10, 1771-1792 (2010); translation in Comput. Math., Math. Phys. 50, No. 10, 1682-1701 (2010).
MSC:  35Q30 76D05 65M12
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Breather collapse for a dispersive effective equation: asymptotics on the well-posedness boundary. (Russian, English) Zbl 1224.35066

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 7, 1276-1284 (2010); translation in Comput. Math., Math. Phys. 50, No. 7, 1212-1220 (2010).
MSC:  35G10 35R05
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Weighted estimate for the convergence rate of a projection difference scheme for a parabolic equation and its application to the approximation of the initial-data control problem. (Russian, English) Zbl 1224.65217

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 6, 1023-1037 (2010); translation in Comput. Math., Math. Phys. 50, No. 6, 969-983 (2010).
MSC:  65M12 35K15
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An embedded method for integrating systems of structurally separated ordinary differential equations. (Russian, English) Zbl 1224.65174

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 1, 434-448 (2010); translation in Comput. Math., Math. Phys. 50, No. 3, 414-427 (2010).
MSC:  65L06 65L05 34A34
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Modified combined grid method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped. (Russian, English) Zbl 1224.35077

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 2, 286-297 (2010); translation in Comput. Math., Math. Phys. 50, No. 2, 274-284 (2010).
MSC:  35J05 65M55
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Asymptotics of the solution to a singularly perturbed system of parabolic equations in the critical case. (Russian, English) Zbl 1224.35184

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 2, 268-275 (2010); translation in Comput. Math., Math. Phys. 50, No. 2, 256-263 (2010).
MSC:  35K51
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Approximation of singularly perturbed parabolic equations in unbounded domains subject to piecewise smooth boundary conditions in the case of solutions that grow at infinity. (Russian, English) Zbl 1224.35205

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 10, 1827-1843 (2009); translation in Comput. Math., Math. Phys. 49, No. 10, 1748-1764 (2009).
MSC:  35K57 65M06
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Locally one dimensional scheme for a loaded heat equation with Robin boundary conditions. (Russian, English) Zbl 1224.35163

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 7, 1223-1231 (2009); translation in Comput. Math., Math. Phys. 49, No. 7, 1167-1174 (2009).
MSC:  35K05 35K20
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Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerate coefficients. (Russian, English) Zbl 1197.35143

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 6, 1085-1102 (2009); translation in Comput. Math., Math. Phys. 49, No. 6, 1037-1053 (2009).
MSC:  35K57 35K15
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Finite difference schemes for the singularly perturbed reaction-diffusion equation in the case of spherical symmetry. (Russian, English) Zbl 1199.65285

Comput. Math., Math. Phys. 49, No. 5, 810-826 (2009); translation from Zh. Vychisl. Mat. Mat. Fiz. 49, No. 5, 840-856 (2009).
MSC:  65M06 35K57 35B25
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Error estimates for the Galerkin method as applied to time-dependent equations. (Russian, English) Zbl 1199.65311

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 9, 1643-1651 (2009); translation in Comput. Math., Math. Phys. 49, No. 9, 1567-1575 (2009).
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The Richardson scheme for the singularly perturbed parabolic reaction-diffusion equation in the case of a discontinuous initial condition. (Russian, English) Zbl 1199.65284

Comput. Math., Math. Phys. 49, No. 8, 1348-1368 (2009); translation from Zh. Vychisl. Mat. Mat. Fiz. 49, No. 8, 1416-1436 (2009).
MSC:  65M06 35K57 35B25
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Convergence in the form of a solution to the Cauchy problem for a quasilinear parabolic equation with a monotone initial condition to a system of waves. (Russian, English) Zbl 1199.35176

Comput. Math. Math. Phys. 48, No. 8, 1376-1405 (2008); translation from Zh. Vychisl. Mat. Mat. Fiz. 48, No. 8, 1458-1487 (2008).
MSC:  35K59 35B40 35K15
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Uniform grid approximation of nonsmooth solutions to the mixed boundary value problem for a singularly perturbed reaction-diffusion equation in a rectangle. (Russian, English) Zbl 1201.65148

Comput. Math. Math. Phys. 48, No. 1, 85-108 (2008); translation from Zh. Vychisl. Mat. Mat. Fiz. 48, No. 1, 90-114 (2008).
MSC:  65M06 35B25 35J25
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Necessary conditions for \(\varepsilon \)-uniform convergence of finite difference schemes for parabolic equations with moving boundary layers. (Russian. English summary) Zbl 07812342

Zh. Vychisl. Mat. Mat. Fiz. 47, No. 10, 1706-1726 (2007); translation in Comput. Math. Math. Phys. 47, No. 10, 1636-1655 (2007).
MSC:  65M06
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Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskiĭ material. (English. Russian original) Zbl 1292.74034

Comput. Math. Math. Phys. 47, No. 6, 943-961 (2007); translation from Zh. Vychisl. Mat. Mat. Fiz. 47, No. 6, 988-1006 (2007).
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On the stability and domain of attraction of asymptotically nonsmooth stationary solutions to a singularly perturbed parabolic equation. (Russian, English) Zbl 1210.35147

Zh. Vychisl. Mat. Mat. Fiz. 46, No. 3, 433-444 (2006); translation in Comput. Math. Math. Phys. 46, No. 3, 413-424 (2006).
MSC:  35K20 35B25
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Grid approximation of singularly perturbed parabolic convection-diffusion equations subject to a piecewise smooth initial condition. (Russian, English) Zbl 1210.35148

Zh. Vychisl. Mat. Mat. Fiz. 46, No. 1, 52-76 (2006); translation in Comput. Math. Math. Phys. 46, No. 1, 49-72 (2006).
MSC:  35K20 34E15
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Explicit Runge-Kutta methods for moderately stiff problems. (Russian, English) Zbl 1102.65079

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 11, 2017-2030 (2005); translation in Comput. Math. Math. Phys. 45, No. 11, 1939-1951 (2005).
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Projection difference scheme for parabolic functional differential equation with two-dimensional transformation of arguments. (Russian, English) Zbl 1097.65094

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 10, 1848-1859 (2005); translation in Comput. Math. Math. Phys. 45, No. 10, 1780-1791 (2005).
MSC:  65M12 65M06
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Integration method for the Cauchy problem for Langmuire chain with divergent initial conditions. (Russian, English) Zbl 1096.34003

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 9, 1639-1650 (2005); translation in Comput. Math. Math. Phys. 45, No. 9, 1582-1592 (2005).
MSC:  34A12 34A37 34A45
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Grid approximation of domain decomposition method and solution with improved convergence to singularly perturbed elliptic equations in the domains with characteristic boundaries. (Russian, English) Zbl 1164.35313

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 7, 1196-1212 (2005); translation in Comput. Math. Math. Phys. 45, No. 7, 1155-1171 (2005).
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A fifth-order five-stage embedded method of the Dormand-Prince type. (Russian, English) Zbl 1078.65064

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 7, 1181-1191 (2005); translation in Comput. Math. Math. Phys. 45, No. 7, 1140-1150 (2005).
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Evaluations of the global and local errors of the Störmer implicit method for a system of equations. (Russian, English) Zbl 1077.65087

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 2, 267-271 (2005); translation in Comput. Math. Math. Phys. 45, No. 2, 256-260 (2005).
MSC:  65L70 65L05 34A34
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On the blow-up of solutions of semilinear pseudoparabolic equations with rapidly growing nonlinearities. (Russian, English) Zbl 1114.35110

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 145-155 (2005); translation in Comput. Math. Math. Phys. 45, No. 1, 138-148 (2005).
MSC:  35K70 35K60 35B65
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Construction of asymptotics of a difference solution based on nonclassical differential approximations. (Russian, English) Zbl 1114.65102

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 88-109 (2005); translation in Comput. Math. Math. Phys. 45, No. 1, 83-103 (2005).
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Asymptotic form of solution of the degenerate differential equation of third order with a small parameter at the highest derivative. (Russian, English) Zbl 1082.34528

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 9, 1574-1584 (2004); translation in Comput. Math. Math. Phys. 44, No. 9, 1494-1504 (2004).
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Modeling the influence of small-scale dispersion processes in a continuum on the formation of large-scale phenomena. (Russian, English) Zbl 1136.35421

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 6, 1119-1126 (2004); translation in Comput. Math. Math. Phys. 44, No. 6, 1062-1068 (2004).
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A regularized gradient dual method for the inverse problem of a final observation for a parabolic equation. (Russian, English) Zbl 1121.49038

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 2001-2019 (2004); translation in Comput. Math. Math. Phys. 44, No. 11, 1903-1921 (2004).
MSC:  49N45 49M15 65M32
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Approximation of the solution of the Cauchy problem for the Neumann-Liouville equation. (Russian, English) Zbl 1114.35141

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 10, 1845-1849 (2004); translation in Comput. Math. Math. Phys. 44, No. 10, 1757-1761 (2004).
MSC:  35Q40 65M99 35A35
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Uniform multiplicative asymptotics of the parameter-dependent Laplace integrals. (Russian, English) Zbl 1114.65126

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 10, 1745-1750 (2004); translation in Comput. Math. Math. Phys. 44, No. 10, 1659-1664 (2004).
MSC:  65M99 35K20 44A10
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On the blow-up of the solution of an initial-boundary value problem for a nonlinear nonlocal equation of pseudo-parabolic type. (Russian, English) Zbl 1114.35111

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 12, 2212-2219 (2004); translation in Comput. Math. Math. Phys. 44, No. 12, 2104-2111 (2004).
MSC:  35K70 35K60 35B40
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Artificial boundary conditions for external boundary problem with a cylindrical inhomogeneity. (Russian, English) Zbl 1114.35016

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 12, 2194-2211 (2004); translation in Comput. Math. Math. Phys. 44, No. 12, 2087-2103 (2004).
MSC:  35B30 35J15 35G15
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Implicit methods for integration of initial value problems for parameterized systems of second-order ordinary differential equations. (Russian, English) Zbl 1077.65078

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 11, 1684-1696 (2003); translation in Comput. Math. Math. Phys. 43, No. 11, 1620-1631 (2003).
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An algorithm for solving the Cauchy problem for degenerate linear systems of ordinary differential equations. (Russian, English) Zbl 1077.65075

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 11, 1677-1683 (2003); translation in Comput. Math. Math. Phys. 43, No. 11, 1613-1619 (2003).
MSC:  65L05 34A30 91B38
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Properties of solutions of a parabolic equation and the uniqueness of the solution of the inverse source problem with integral overdetermination. (Russian, English) Zbl 1078.35138

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 4, 562-570 (2003); translation in Comput. Math. Math. Phys. 43, No. 4, 537-546 (2003).
MSC:  35R30 35K20
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The Schwarz grid method for singularly perturbed convection-diffusion parabolic equations in the case of coherent and incoherent grids on subdomains. (Russian, English) Zbl 1105.49036

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 2, 251-264 (2003); translation in Comput. Math. Math. Phys. 43, No. 2, 242-254 (2003).
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On some inverse problem for a three-dimensional wave equation. (Russian, English) Zbl 1136.35463

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 8, 1201-1209 (2003); translation in Comput. Math. Math. Phys. 43, No. 8, 1149-1158 (2003).
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The Godunov-type difference scheme for equations of relativistic magnetohydrodynamics. (Russian, English) Zbl 1077.76049

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 10, 1584-1599 (2002); translation in Comput. Math. Math. Phys. 42, No. 10, 1522-1537 (2002).
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A fourth-order accurate composite grid method for solving Laplace’s boundary value problems with singularities. (Russian, English) Zbl 1056.35009

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 6, 867-884 (2002); translation in Comput. Math. Math. Phys. 42, No. 6, 832-849 (2002).
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A numerical method for solving differential-algebraic equations. (Russian, English) Zbl 1058.65084

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 4, 459-470 (2002); translation in Comput. Math. Math. Phys. 42, No. 4, 439-449 (2002).
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