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Бахвалов Н. С., Жидков Н. П., Кобельков Г. М., Численные методы , Наука, М., 1987
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On approximation of the normal derivative of the single layer heat potential near the boundary of a two-dimensional domain Иванов Д.Ю.Vestn. Tomsk. Gos. Univ. Mat. Mekh. , 2023:83 , 31–51
Computer modeling of ultra-short optical pulses interaction in silicene Н. Н. КонобееваVestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica , 2015:1 , 40–46
Boundary conditions for simulation of compressible gas by SPH method А. С. Васюра, М. А. Бутенко, Н. М. КузьминVestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica , 2014:4 , 53–67
Modeling minimum triangulated surfaces: error estimation calculating the area of the design of facilities А. А. Клячин, А. Г. ПанченкоVestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica , 2016:3 , 73–83
Mathematical Modelling of the Electric Fields at Electrophysic Devices Г. В. Байдин, В. Ф. Куропатенко, И. В. ЛупановVestnik YuUrGU. Ser. Mat. Model. Progr. , 2013, 6 :3 , 18–25
Multistep Method for Solving Degenerate Integral-Differential Equations М. В. Булатов, До Тиен ТханьVestnik YuUrGU. Ser. Mat. Model. Progr. , 2014, 7 :3 , 93–106
On boundary value problems for singular systems of linear integro-differential equations method of least squares Б. Д. Нгуен, В. Ф. ЧистяковVestnik YuUrGU. Ser. Mat. Model. Progr. , 2015, 8 :2 , 81–94
Computer modelling of non-stationary flows with phase transitions in countercurrent heat exchangers В. К. Толстых, К. А. ПшеничныйVestnik YuUrGU. Ser. Mat. Model. Progr. , 2023, 16 :2 , 59–67
Accuracy of the numerical solution of the equations of diffusion-convection using the difference schemes of second and fourth order approximation error А. И. Сухинов, А. Е. Чистяков, М. В. ЯкобовскийVestn. YuUrGU. Ser. Vych. Matem. Inform. , 2016, 5 :1 , 47–62
A regularized Levenberg–Marquardt type method applied to the structural inverse gravity problem in a multilayer medium and its parallel realization A. F. SkurydinaVestn. YuUrGU. Ser. Vych. Matem. Inform. , 2017, 6 :3 , 5–15
A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped Е. А. ВолковZh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :3 , 512–517
Improving the accuracy of multiple integral evaluation by applying Romberg’s method Е. П. Жидков, Ю. Ю. Лобанов, В. Д. РушайZh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :2 , 232–240
The use of order statistic numerical simulation algorithms А. В. Войтишек, А. П. Мясников, Л. Э. СанеевZh. Vychisl. Mat. Mat. Fiz. , 2008, 48 :12 , 2237–2246
Automatic step size and order control in implicit one-step extrapolation methods Г. Ю. Куликов, Е. Ю. ХрусталёваZh. Vychisl. Mat. Mat. Fiz. , 2008, 48 :9 , 1580–1606
Refined-mesh interpolation method for functions with a boundary-layer component А. И. ЗадоринZh. Vychisl. Mat. Mat. Fiz. , 2008, 48 :9 , 1673–1684
Automatic step size and order control in explicit one-step extrapolation methods Г. Ю. Куликов, Е. Ю. ХрусталеваZh. Vychisl. Mat. Mat. Fiz. , 2008, 48 :8 , 1392–1405
Conditioning of finite difference schemes for a singularly perturbed convection-diffusion parabolic equation Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2008, 48 :5 , 813–830
Numerical solution to systems of delay integrodifferential algebraic equations С. С. Дмитриев, Е. Б. КузнецовZh. Vychisl. Mat. Mat. Fiz. , 2008, 48 :3 , 430–444
Numerical solution to a two-dimensional hypersingular integral equation and sound propagation in urban areas В. А. Гутников, В. Ю. Кирякин, И. К. Лифанов, А. В. Сетуха, С. Л. СтавцевZh. Vychisl. Mat. Mat. Fiz. , 2007, 47 :12 , 2088–2100
Guaranteed-accuracy approximation of reachable sets for a linear dynamic system subject to impulse actions Н. Б. Брусникина, А. В. ЛотовZh. Vychisl. Mat. Mat. Fiz. , 2007, 47 :11 , 1855–1864
Defining systems and Newton-like methods for finding singular solutions to nonlinear boundary value problems М. Ю. Ерина, А. Ф. ИзмаиловZh. Vychisl. Mat. Mat. Fiz. , 2007, 47 :9 , 1467–1485
On the stability of the $\sigma$ -scheme with transparent boundary conditions for parabolic equations А. А. ЗлотникZh. Vychisl. Mat. Mat. Fiz. , 2007, 47 :4 , 671–692
A parametrization method for solving nonlinear two-point boundary value problems Д. С. Джумабаев, С. М. ТемешеваZh. Vychisl. Mat. Mat. Fiz. , 2007, 47 :1 , 39–63
Numerical integration of systems of delay differential-algebraic equations Е. Б. Кузнецов, В. Н. МикрюковZh. Vychisl. Mat. Mat. Fiz. , 2007, 47 :1 , 83–95
Two-end controllability of elastic vibrations of systems with distributed and lumped parameters А. И. Егоров, Л. Н. ЗнаменскаяZh. Vychisl. Mat. Mat. Fiz. , 2006, 46 :11 , 2032–2044
Grid approximation of singularly perturbed parabolic reaction-diffusion equations on large domains with respect to the space and time variables Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2006, 46 :11 , 2045–2064
Calculation of deformations in nanocomposites using the block multipole method with the analytical-numerical account of the scale effects Д. Б. Волков-Богородский, Ю. Г. Евтушенко, В. И. Зубов, С. А. ЛурьеZh. Vychisl. Mat. Mat. Fiz. , 2006, 46 :7 , 1302–1321
Computational algorithms for continuous wavelet transforms and their errors Я. М. Жилейкин, Ю. И. ОсипикZh. Vychisl. Mat. Mat. Fiz. , 2005, 45 :12 , 2091–2101
On the parametrization of numerical solutions to boundary value problems for nonlinear differential equations С. Д. Красников, Е. Б. КузнецовZh. Vychisl. Mat. Mat. Fiz. , 2005, 45 :12 , 2148–2158
Fast computation of elliptic integrals and their generalizations А. И. Боголюбский, С. Л. Скороходов, Д. В. ХристофоровZh. Vychisl. Mat. Mat. Fiz. , 2005, 45 :11 , 1938–1953
Global search in a nonconvex optimal control problem А. С. Стрекаловский, Е. В. ШаранхаеваZh. Vychisl. Mat. Mat. Fiz. , 2005, 45 :10 , 1785–1800
On the convergence in $C^1_h$ of the difference solution to the Laplace equation in a rectangular parallelepiped Е. А. ВолковZh. Vychisl. Mat. Mat. Fiz. , 2005, 45 :9 , 1587–1593
Academician Nikolai Sergeevich Bakhvalov (on the occasion of his seventieth birthday) М. К. КеримовZh. Vychisl. Mat. Mat. Fiz. , 2005, 45 :4 , 563–573
Gradient methods with improved convergence rate Е. А. Альшина, А. А. Болтнев, О. А. КачерZh. Vychisl. Mat. Mat. Fiz. , 2005, 45 :3 , 374–382
On algebraic operations over series of orthogonal functions А. Н. ПанкратовZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :12 , 2121–2127
A boundary value problem for modeling physical fields in a semiconductor С. И. Безродных, В. И. ВласовZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :12 , 2220–2251
On one-step collocation methods with higher derivatives for solving ordinary differential equations Г. Ю. Куликов, А. И. МеркуловZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :10 , 1782–1807
On an iterative method for the construction the Hadamard mustaches А. А. КорневZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :8 , 1346–1355
On multistep methods of the interpolation type with an automated checking of the global error Г. Ю. Куликов, С. К. ШиндинZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :8 , 1388–1409
On the efficient computation of asymptotically sharp estimates for local and global errors in multistep methods with constant coefficients Г. Ю. Куликов, С. К. ШиндинZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :5 , 840–861
On the fast computation of the nodes and weights of the Gauss quadrature Л. Г. Васильева, Я. М. ЖилейкинZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :3 , 426–431
Dynamic programming algorithms for analysis of non-stationary signals A. A. Костин, О. В. Красоткина, М. В. Марков, В. В. Моттль, И. Б. МучникZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :1 , 70–86
A method for solving a nonlinear nonself-adjoint spectral problem for some systems of linear ordinary differential equations А. А. Абрамов, В. И. Ульянова, Л. Ф. ЮхноZh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :1 , 104–110
The grid approximation of a singularly perturbed parabolic equation on a composed domain with a moving boundary containing a concentrated source Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2003, 43 :12 , 1806–1824
Optimal quadrature formulas with two models for the numerical integration of a Lipschitz function Н. М. ПоповZh. Vychisl. Mat. Mat. Fiz. , 2003, 43 :11 , 1642–1658
Implicit methods for integration of initial value problems for parameterized systems of second-order ordinary differential equations Д. Б. Волков-Богородский, А. Н. Данилин, Е. Б. Кузнецов, В. И. ШалашилинZh. Vychisl. Mat. Mat. Fiz. , 2003, 43 :11 , 1684–1696
On accuracy of the shock wave computations by the shock-fitting method Н. М. Борисова, В. В. ОстапенкоZh. Vychisl. Mat. Mat. Fiz. , 2003, 43 :10 , 1494–1516
Improvement of the normal spline collocation method for linear differential equations В. К. Горбунов, В. В. ПетрищевZh. Vychisl. Mat. Mat. Fiz. , 2003, 43 :8 , 1150–1159
Calculation of bounds for the spectrum of a symmetric matrix М. Ф. СухининZh. Vychisl. Mat. Mat. Fiz. , 2002, 42 :11 , 1619–1623
Use of dynamically adaptive grids for modeling three-dimensional unsteady gas flows with high gradients Д. В. Руденко, С. В. УтюжниковZh. Vychisl. Mat. Mat. Fiz. , 2002, 42 :3 , 395–409
A version of the discrete Fourier transform with nodes on parallelepipedal lattices В. Б. Кашкин, М. В. Носков, Н. Н. ОсиповZh. Vychisl. Mat. Mat. Fiz. , 2001, 41 :3 , 355–359
A method of detection of instability and for determination of unstable eigenvalues in the Orr–Sommerfeld problem С. В. КурочкинZh. Vychisl. Mat. Mat. Fiz. , 2001, 41 :1 , 86–94
Explicit difference schemes for solving stiff problems with a complex or separable spectrum В. И. ЛебедевZh. Vychisl. Mat. Mat. Fiz. , 2000, 40 :12 , 1801–1812
On stability of differential sweep methods С. В. КурочкинZh. Vychisl. Mat. Mat. Fiz. , 2000, 40 :11 , 1611–1614
A technique for controlling the global error in multistep methods Г. Ю. Куликов, С. К. ШиндинZh. Vychisl. Mat. Mat. Fiz. , 2000, 40 :9 , 1308–1329
On algorithms for computing the Riemann problem by means of Godunov's scheme A. A. ЧарахчьянZh. Vychisl. Mat. Mat. Fiz. , 2000, 40 :5 , 782–796
Optimal control of the process of melting А. Ф. Албу, В. И. Горбунов, В. И. ЗубовZh. Vychisl. Mat. Mat. Fiz. , 2000, 40 :4 , 517–531
Saving computer memory and computation time in the differential sweep method Б. С. ПарийскийZh. Vychisl. Mat. Mat. Fiz. , 2000, 40 :2 , 332–334
Efficient methods for stiff multidimensional multiparametric problems Н. С. БахваловZh. Vychisl. Mat. Mat. Fiz. , 1999, 39 :12 , 2019–2049
Automatic construction of integration mesh for boundary value problems with boundary layers Н. С. БахваловZh. Vychisl. Mat. Mat. Fiz. , 1999, 39 :8 , 1290–1295
An approximate conformal mapping of a trapezoid onto a rectangle and its inversion obtained by the block method Е. А. Волков, А. К. КорноуховZh. Vychisl. Mat. Mat. Fiz. , 1999, 39 :7 , 1142–1150
A continuous method for constrained minimization problems И. П. РязанцеваZh. Vychisl. Mat. Mat. Fiz. , 1999, 39 :5 , 734–742
Some results on the convergence of the Arrow–Hurwicz algorithm for Stokes-type algebraic systems Е. В. ЧижонковZh. Vychisl. Mat. Mat. Fiz. , 1999, 39 :3 , 523–533
On a property of the Störmer method Л. З. ФишманZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :11 , 1822–1828
On difference schemes for differential-algebraic systems М. В. БулатовZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :10 , 1641–1650
A method of error analysis for Runge–Kutta methods Г. Ю. КуликовZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :10 , 1651–1653
The method of the Riemann-Hilbert problem in the theory of diffraction by shells of arbitrary cross section А. Е. Поединчук, Ю. А. Тучкин, В. П. ШестопаловZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :8 , 1314–1328
Justification of the quadrature method for nonlinear integral equations А. Ф. ИзмаиловZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :7 , 1153–1161
Implementation of a three-dimensional hydrodynamic model for evolution of sedimentary basins А. Т. Исмаил-заде, А. И. Короткий, Б. М. Наймарк, А. П. Суетов, И. А. ЦепелевZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :7 , 1190–1203
A numerical method for solving quadratic programming problems with quadratic penalties applied by stages М. Ф. СухининZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :6 , 932–937
B-spline in the finite element method Н. Л. Пацко, Ю. Н. СубботинZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :1 , 15–24
The argument principle in a spectral problem for systems of ordinary differential equations with singularities А. А. Абрамов, В. И. Ульянова, Л. Ф. ЮхноZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :1 , 61–67
Solution of the Dirichlet difference problem for the multidimensional Helmholtz equation by the Monte Carlo method Г. А. Михайлов, А. Ф. ЧешковаZh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :1 , 99–106
A fast direct method for solving a variational-difference analogue of the Poisson equation on a triangulation with condensation toward a part of the boundary О. В. РябининZh. Vychisl. Mat. Mat. Fiz. , 1997, 37 :12 , 1478–1481
One property of multistep difference methods for ordinary differential equations Л. З. ФишманZh. Vychisl. Mat. Mat. Fiz. , 1997, 37 :9 , 1068–1077
Asymptotic complexity of the collisions estimator for solving linear systems Д. Л. Данилов, С. М. ЕрмаковZh. Vychisl. Mat. Mat. Fiz. , 1997, 37 :5 , 515–523
Numerical determination of a boundary condition near a singularity С. В. КурочкинZh. Vychisl. Mat. Mat. Fiz. , 1997, 37 :5 , 543–552
Methods for solving nonlinear operator equations with singular Fredholm derivatives А. Ф. ИзмаиловZh. Vychisl. Mat. Mat. Fiz. , 1997, 37 :2 , 145–152
An exact numerical method for solving the Stokes-type factorized problem М. А. ОльшанскийZh. Vychisl. Mat. Mat. Fiz. , 1997, 37 :2 , 202–213
The solution of Cauchy's problem for a system of second-order linear differential equations, unsolvable for the highest derivative Л. Н. ШаблицкаяZh. Vychisl. Mat. Mat. Fiz. , 1996, 36 :9 , 71–82
Asymptotically fast approximate methods for solving the Laplace difference equation in a cube В. Е. ВолковZh. Vychisl. Mat. Mat. Fiz. , 1996, 36 :5 , 90–97
A method for obtaining an initial approximation for Newton's method К. А. ЛебедевZh. Vychisl. Mat. Mat. Fiz. , 1996, 36 :3 , 6–14
Solution of boundary value problems of moment latticed shells of revolution as momentless shells with corrections of boundary layer type Л. С. Клабукова, Г. И. ПшеничновZh. Vychisl. Mat. Mat. Fiz. , 1995, 35 :12 , 1854–1871
Two-sided methods for the numerical integration of initial value and boundary value problems С. А. НекрасовZh. Vychisl. Mat. Mat. Fiz. , 1995, 35 :10 , 1476–1493
Canonical representations of standard difference approximations of differential operators В. В. ОстапенкоZh. Vychisl. Mat. Mat. Fiz. , 1995, 35 :8 , 1175–1183
On an algorithm for the fast Fourier–Bessel transform Я. М. Жилейкин, А. Б. КукаркинZh. Vychisl. Mat. Mat. Fiz. , 1995, 35 :7 , 1128–1133
The relative costs of the Monte Carlo method for solving systems of linear algebraic equations Д. Л. Данилов, С. М. ЕрмаковZh. Vychisl. Mat. Mat. Fiz. , 1995, 35 :5 , 661–676
Computing the definite integrals of the Wiener–Hopf method by summing powers of residues А. В. Марченко, А. Ю. СемёновZh. Vychisl. Mat. Mat. Fiz. , 1995, 35 :3 , 445–452
A parametric approximation Е. Б. Кузнецов, В. И. ШалашилинZh. Vychisl. Mat. Mat. Fiz. , 1994, 34 :12 , 1757–1769
Orthogonal difference pivotal condensation for two-point grid equations of general form with separate multipoint boundary conditions Ю. А. Кремень, П. И. МонастырныйZh. Vychisl. Mat. Mat. Fiz. , 1994, 34 :12 , 1782–1792
Step-by-step quadratic penalty solution of a quadratic programming problem М. Ф. СухининZh. Vychisl. Mat. Mat. Fiz. , 1994, 34 :8 , 1298–1306
Cubic convergence of the inverse iteration method for solving the nonlinear spectral problem С. В. КартышовZh. Vychisl. Mat. Mat. Fiz. , 1994, 34 :6 , 815–826
Constructing interpolation curves by the grid method В. А. Люлька, А. В. РоманкоZh. Vychisl. Mat. Mat. Fiz. , 1994, 34 :6 , 827–836
Determining the number of eigenvalues of a spectral problem А. А. Абрамов, Л. Ф. ЮхноZh. Vychisl. Mat. Mat. Fiz. , 1994, 34 :5 , 776–783
The combination of the establishment method and Newton's method for solving nonlinear differential problems Т. Жанлав, И. В. ПузынинZh. Vychisl. Mat. Mat. Fiz. , 1994, 34 :2 , 175–184
The Cauchy problem as a problem of the continuation of a solution with respect to a parameter Е. Б. Кузнецов, В. И. ШалашилинZh. Vychisl. Mat. Mat. Fiz. , 1993, 33 :12 , 1792–1805
Numerical methods in problems of best approximation by splines and nonlinear spectrum analysis А. П. Буслаев, М. В. ЯшинаZh. Vychisl. Mat. Mat. Fiz. , 1993, 33 :10 , 1455–1467
The problem of calculating a perturbed inverse matrix as a convergent product С. А. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 1993, 33 :4 , 624–631
A conservative difference scheme for a system of Hamiltonian equations with external action Ю. А. КриксинZh. Vychisl. Mat. Mat. Fiz. , 1993, 33 :2 , 206–218
Estimating the information complexity of global optimization and the global solution of equations Н. М. ПоповZh. Vychisl. Mat. Mat. Fiz. , 1992, 32 :12 , 1853–1868
Discretization of the Laplace operator and the fast solution of Poisson's equation in a torus С. Д. АлгазинZh. Vychisl. Mat. Mat. Fiz. , 1992, 32 :10 , 1661–1666
An algorithm for difference schemes whitc approximate the Cauchy problem for ordinary differential equations of any order Л. Н. Шаблицкая, Л. И. ЯкутZh. Vychisl. Mat. Mat. Fiz. , 1992, 32 :3 , 408–416
Optimization of the spatial shape of load-carrying bodies of small elongation at hypersonic velocities В. Н. Голубкин, В. В. НегодаZh. Vychisl. Mat. Mat. Fiz. , 1991, 31 :12 , 1858–1870
Numerical investigation of two-dimensional potential flow of an ideal fluid using the Schwarz–Christoffel integral С. Т. Грибняк, А. В. Логвиненко, В. Н. Романенко, А. Ю. Федорович, А. А. ЭннанZh. Vychisl. Mat. Mat. Fiz. , 1991, 31 :8 , 1223–1230
A method of finding the eigenvalues and eigenfunctions of a self-conjugate differential problem А. А. АбрамовZh. Vychisl. Mat. Mat. Fiz. , 1991, 31 :6 , 819–831
Regularization of a boundary value problem of diffraction by a semi-transparent grating of bars of arbitrary cross-section with Dirichlet boundary condition Ю. И. Крутинь, Ю. А. Тучкин, В. П. ШестопаловZh. Vychisl. Mat. Mat. Fiz. , 1991, 31 :6 , 864–876
On the method of mechanical quadratures for a Fredholm integral equation in an unbounded domain К. Т. МынбаевZh. Vychisl. Mat. Mat. Fiz. , 1991, 31 :3 , 388–398
Local smoothing splines with a regularizing parameter В. А. ЖелудевZh. Vychisl. Mat. Mat. Fiz. , 1991, 31 :2 , 193–211
A high-accuracy three-point spline scheme Т. ЖанлавZh. Vychisl. Mat. Mat. Fiz. , 1991, 31 :1 , 40–51
On the choice of basis functions for the approximate solution of Peierls equations С. В. Переверзев, С. Г. СолодкийZh. Vychisl. Mat. Mat. Fiz. , 1991, 31 :1 , 122–131
Digital simulation of evolutionary stochastic differential equations Ю. Г. Булычев, С. А. ПогонышевZh. Vychisl. Mat. Mat. Fiz. , 1990, 30 :8 , 1170–1179
An iterative method for solving a problem of diffraction by a spherical segment В. Г. Дудка, Ю. А. Тучкин, В. П. ШестопаловZh. Vychisl. Mat. Mat. Fiz. , 1990, 30 :8 , 1193–1200
A relationship between order and degree for a stable formula with advanced nodes В. Р. ИбрагимовZh. Vychisl. Mat. Mat. Fiz. , 1990, 30 :7 , 1045–1056
Application of the incomplete Galerkin method for solving problems of the diffraction of electromagnetic waves by a nonhomogeneous cylinder А. А. Быков, А. Г. Свешников, М. К. ТрубецковZh. Vychisl. Mat. Mat. Fiz. , 1990, 30 :6 , 894–909
Chaplygin's method for the numerical solution of differential equations with retarded argument Л. М. Березанский, Л. В. ИдельсZh. Vychisl. Mat. Mat. Fiz. , 1990, 30 :6 , 945–951
Programming a generalized cholesky algorithm for mixed discrete analogues of elliptic boundary-value problems А. А. Кобозева, Л. В. МасловскаяZh. Vychisl. Mat. Mat. Fiz. , 1990, 30 :3 , 420–429
The use of local coordinates in optimization problems Д. В. ДенисовZh. Vychisl. Mat. Mat. Fiz. , 1990, 30 :1 , 144–147
Grid approximation of a parabolic convection-diffusion equation on a priori adapted grids: $\varepsilon$ -uniformly convergent schemes Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2008, 48 :6 , 1014–1033
Sharp estimates for the convergence rate of Fourier series in terms of orthogonal polynomials in $L_2((a,b),p(x))$ В. А. Абилов, Ф. В. Абилова, М. К. КеримовZh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :6 , 966–980
Constrained optimization of the randomized iterative method Т. Е. Булгакова, А. В. ВойтишекZh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :7 , 1148–1157
The Richardson scheme for the singularly perturbed parabolic reaction-diffusion equation in the case of a discontinuous initial condition Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :8 , 1416–1436
Economic difference scheme for a parabolic equation with a mixed spatial derivative Л. Ф. ЮхноZh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :9 , 1622–1628
Approximation of singularly perturbed parabolic equations in unbounded domains subject to piecewise smooth boundary conditions in the case of solutions that grow at infinity Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :10 , 1827–1843
Spline interpolation on a uniform grid for a function with a boundary layer component А. И. Задорин, Н. А. ЗадоринZh. Vychisl. Mat. Mat. Fiz. , 2010, 50 :2 , 221–233
Analysis of the correlation between plasmon resonance and the effect of the extremal leaking of energy by the discrete source method Н. В. Гришина, Ю. А. Ерёмин, А. Г. СвешниковZh. Vychisl. Mat. Mat. Fiz. , 2010, 50 :3 , 532–538
On the automatic control of step size and order in one-step collocation methods with higher derivatives Г. Ю. Куликов, Е. Ю. ХрусталёваZh. Vychisl. Mat. Mat. Fiz. , 2010, 50 :6 , 1060–1077
A Richardson scheme of the decomposition method for solving singularly perturbed parabolic reaction-diffusion equation Г. И. Шишкин, Л. П. ШишкинаZh. Vychisl. Mat. Mat. Fiz. , 2010, 50 :12 , 2113–2133
On the use of computation optimization opportunities in computer technologies for applied and computational mathematics problems with prescribed quality characteristics М. Д. Бабич, В. К. Задирака, В. А. Людвиченко, И. В. СергиенкоZh. Vychisl. Mat. Mat. Fiz. , 2010, 50 :12 , 2285–2295
To the question of large-amplitude electron oscillations in a plasma slab Е. В. ЧижонковZh. Vychisl. Mat. Mat. Fiz. , 2011, 51 :3 , 456–469
Computation of the initial vectors for the numerical solution of boundary-value problems А. Ю. ВиноградовZh. Vychisl. Mat. Mat. Fiz. , 1995, 35 :1 , 156–159
Improved approximations of the solution and derivatives to a singularly perturbed reaction-diffusion equation based on the solution decomposition method Г. И. Шишкин, Л. П. ШишкинаZh. Vychisl. Mat. Mat. Fiz. , 2011, 51 :6 , 1091–1120
Existence of a complex closed trajectory in a three-dimensional dynamical system А. А. Азамов, О. С. АхмедовZh. Vychisl. Mat. Mat. Fiz. , 2011, 51 :8 , 1449–1456
Quadrature formulas for functions with a boundary-layer component А. И. Задорин, Н. А. ЗадоринZh. Vychisl. Mat. Mat. Fiz. , 2011, 51 :11 , 1952–1962
Regularization of differential-algebraic equations В. Ф. ЧистяковZh. Vychisl. Mat. Mat. Fiz. , 2011, 51 :12 , 2181–2193
Strong stability of a scheme on locally uniform meshes for a singularly perturbed ordinary differential convection–diffusion equation Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :6 , 1010–1041
On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces А. Б. Бакушинский, М. М. Кокурин, М. Ю. КокуринZh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :3 , 483–498
Numerical solution of integral-algebraic equations for multistep methods О. С. Будникова, М. В. БулатовZh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :5 , 829–839
Solving the order reduction phenomenon in variable step size quasi-consistent Nordsieck methods Г. Ю. КуликовZh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :11 , 2004–2022
Numerical-analytical method for computing the current-voltage characteristics for a stack of Josephson junctions С. И. СердюковаZh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :11 , 2093–2100
Singular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: Analysis and numerical solution Т. А. Белкина, Н. Б. Конюхова, С. В. КурочкинZh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :10 , 1812–1846
Algorithm for reduced grid generation on a sphere for a global finite-difference atmospheric model Р. Ю. ФадеевZh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :2 , 291–308
Приближенное аналитическое решение систем обыкновенных дифференциальных уравнений с полиномиальной правой частью А. П. Афанасьев, С. М. Дзюба, М. А. Кириченко, Н. А. РубановZh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :2 , 321–328
Sound field suppression in a wide circular waveguide with the help of a longitudinal packet resonator В. П. ИвановZh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :12 , 2219–2227
To the theory of asymptotically stable second-order accurate two-stage scheme for an inhomogeneous parabolic initial-boundary value problem Б. В. ПальцевZh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :4 , 538–574
Conditioning and stability of finite difference schemes on uniform meshes for a singularly perturbed parabolic convection-diffusion equation Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :4 , 575–599
The bilinear complexity and practical algorithms for matrix multiplication А. В. СмирновZh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :12 , 1970–1984
Cubature formulas for a two-variable function with boundary-layer components А. И. ЗадоринZh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :12 , 1997–2007
Computation of the attractive force of an ellipsoid А. О. СавченкоZh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :12 , 2063–2071
Difference schemes for solving the Cauchy problem for a second-order operator differential equation М. М. КокуринZh. Vychisl. Mat. Mat. Fiz. , 2014, 54 :4 , 569–584
Efficient error control in numerical integration of ordinary differential equations and optimal interpolating variable-stepsize peer methods Р. Вайнер, Г. Ю. КуликовZh. Vychisl. Mat. Mat. Fiz. , 2014, 54 :4 , 591–607
Application of the multipole method to direct and inverse problems for the Grad–Shafranov equation with a nonlocal condition С. И. Безродных, В. И. ВласовZh. Vychisl. Mat. Mat. Fiz. , 2014, 54 :4 , 619–685
Three-dimensional simulation of the runup of nonlinear surface gravity waves И. Б. АббасовZh. Vychisl. Mat. Mat. Fiz. , 2014, 54 :5 , 871–886
On an algorithm for calculating diffraction integrals А. Ф. Албу, В. И. ЗубовZh. Vychisl. Mat. Mat. Fiz. , 2014, 54 :7 , 1078–1095
Computer difference scheme for a singularly perturbed convection-diffusion equation Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2014, 54 :8 , 1256–1269
Modification of the Euler quadrature formula for functions with a boundary-layer component А. И. ЗадоринZh. Vychisl. Mat. Mat. Fiz. , 2014, 54 :10 , 1547–1556
Finite-difference proof of the completeness of eigenfunctions of the Sturm–Liouville operator in conservative form А. Р. Алиев, Э. Х. ЭйвазовZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :1 , 3–9
On spatial discretization of the one-dimensional quasi-gasdynamic system of equations with general equations of state and entropy balance В. А. Гаврилин, А. А. ЗлотникZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :2 , 267–284
On efficient randomized algorithms for finding the PageRank vector А. В. Гасников, Д. Ю. ДмитриевZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :3 , 355–371
A higher order accurate solution decomposition scheme for a singularly perturbed parabolic reaction-diffusion equation Г. И. Шишкин, Л. П. ШишкинаZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :3 , 393–416
Transformation of sine-Gordon solitons in models with variable coefficients and damping А. М. Гумеров, Е. Г. Екомасов, Р. Р. Муртазин, В. Н. НазаровZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :4 , 631–640
On the instability of symmetric formulas for numerical differentiation and integration В. М. ВержбицкийZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :6 , 928–932
Embedded symmetric nested implicit Runge–Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems Г. Ю. КуликовZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :6 , 986–1007
Method for constructing approximate analytic solutions of differential equations with a polynomial right-hand side А. П. Афанасьев, С. М. ДзюбаZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :10 , 1694–1702
A numerical method for solving systems of nonlinear equations А. А. Абрамов, Л. Ф. ЮхноZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :11 , 1827–1834
Difference scheme for a singularly perturbed parabolic convection–diffusion equation in the presence of perturbations Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :11 , 1876–1892
Dynamical insurance models with investment: Constrained singular problems for integrodifferential equations Т. А. Белкина, Н. Б. Конюхова, С. В. КурочкинZh. Vychisl. Mat. Mat. Fiz. , 2016, 56 :1 , 47–98
Analogue of Newton-Cotes formulas for numerical integration of functions with a boundary-layer component А. И. Задорин, Н. А. ЗадоринZh. Vychisl. Mat. Mat. Fiz. , 2016, 56 :3 , 368–376
Parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points Е. Б. Кузнецов, С. С. ЛеоновZh. Vychisl. Mat. Mat. Fiz. , 2017, 57 :6 , 934–957
Computer difference scheme for a singularly perturbed elliptic convection-diffusion equation in the presence of perturbations Г. И. ШишкинZh. Vychisl. Mat. Mat. Fiz. , 2017, 57 :5 , 814–831
On some estimates for best approximations of bivariate functions by Fourier–Jacobi sums in the mean М. В. Абилов, М. К. Керимов, Э. В. СелимхановZh. Vychisl. Mat. Mat. Fiz. , 2017, 57 :10 , 1581–1599
Examples of parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points Е. Б. Кузнецов, С. С. ЛеоновZh. Vychisl. Mat. Mat. Fiz. , 2018, 58 :6 , 914–933
Mathematical model taking into account nonlocal effects of plasmonic structures on the basis of the discrete source method Ю. А. Еремин, А. Г. СвешниковZh. Vychisl. Mat. Mat. Fiz. , 2018, 58 :4 , 586–594
Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders А. М. Блохин, Е. А. Круглова, Б. В. СемисаловZh. Vychisl. Mat. Mat. Fiz. , 2018, 58 :7 , 1147–1163
Quantum effects on optical properties of a pair of plasmonic particles separated by a subnanometer gap Ю. А. Еремин, А. Г. СвешниковZh. Vychisl. Mat. Mat. Fiz. , 2019, 59 :1 , 118–127
Numerical-analytical method for analyzing the behavior of a dynamical system using incorrect observations without state space extension Ю. Г. Булычев, А. В. МельниковZh. Vychisl. Mat. Mat. Fiz. , 2019, 59 :6 , 937–950
Block difference schemes of high order for stiff linear differential-algebraic equations М. В. Булатов, В. X. Линь, Л. С. СоловароваZh. Vychisl. Mat. Mat. Fiz. , 2019, 59 :7 , 1100–1107
Direct and converse theorems for iterative methods of solving irregular operator equations and finite difference methods for solving ill-posed Cauchy problems А. Б. Бакушинский, М. Ю. Кокурин, М. М. КокуринZh. Vychisl. Mat. Mat. Fiz. , 2020, 60 :6 , 939–962
Application of supporting integral curves and generalized invariant unbiased estimation for the study of a multidimensional dynamical system Ю. Г. БулычевZh. Vychisl. Mat. Mat. Fiz. , 2020, 60 :7 , 1151–1169
Testing a new conservative method for solving the Cauchy problem for hamiltonian systems on test problems П. А. Александров, Г. Г. ЕленинZh. Vychisl. Mat. Mat. Fiz. , 2020, 60 :9 , 1472–1495
Asymptotics of the Riemann–Hilbert problem for a magnetic reconnection model in plasma С. И. Безродных, В. И. ВласовZh. Vychisl. Mat. Mat. Fiz. , 2020, 60 :11 , 1898–1914
Non-polynomial interpolation of functions with large gradients and its application А. И. Задорин, Н. А. ЗадоринZh. Vychisl. Mat. Mat. Fiz. , 2021, 61 :2 , 179–188
Semi-classical models of quantum nanoplasmonics based on the discrete source method (Review) Ю. А. Еремин, А. Г. СвешниковZh. Vychisl. Mat. Mat. Fiz. , 2021, 61 :4 , 580–607