Edit Profile (opens in new tab) Bakhvalov, Nikolai Sergeevich Compute Distance To: Compute Author ID: bakhvalov.nikolai-s Published as: Bakhvalov, N. S.; Bakhvalov, N.; Bachvalov, Nikolaj Sergheievic; Bakhvalov, Nikolai Sergeevich; Bakhvalov, Nikolai S.; Bachvalov, N. S. External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 144 Publications since 1955, including 10 Books 12 Contributions as Editor Biographic References: 8 Publications Co-Authors: 97 Co-Authors with 81 Joint Publications 3,254 Co-Co-Authors all top 5 Co-Authors 75 single-authored 26 Èglit, Margarita Èrnestovna 11 Knyazev, Andrew V. 6 Morozov, Vladimir Alekseevich 5 Panasenko, Grigory P. 4 Voevodin, Valentin Vasil’evich 3 Il’in, Vladimir Aleksandrovich 3 Karmanov, Vladimir G. 3 Kobel’kov, Georgiĭ Mikhaĭlovich 3 Lebedev, Vyacheslav Ivanovich 3 Oleĭnik, Ol’ga Arsen’evna 2 Amosov, Andreĭ Avenirovich 2 Besov, Oleg Vladimirovich 2 Bogachëv, K. Yu. 2 Bondarenko, V. S. 2 Bourgeat, Alain P. 2 Fomenko, Anatoliĭ Timofeevich 2 Gonchar, Andreĭ Aleksandrovich 2 Kuznetsov, Yurii Alekseevich 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 2 Novikov, Sergeĭ Petrovich 2 Orekhov, M. Yu. 2 Osipik, Yu. I. 2 Rubin, S. B. 2 Serdyukova, S. I. 2 Shtaras, A. L. 2 Uspenskiĭ, Stanislav Viktorovich 2 Vasil’eva, L. G. 2 Vladimirov, Vasiliĭ Sergeevich 2 Zhidkov, Eugeni P. 1 Agoshkov, Valeriĭ Ivanovich 1 Aleksandryan, Rafael’ Aramovich 1 Aleksandrov, Pavel Sergeevich 1 Arutyunov, Aram Vladimirovic 1 Babich, Vasiliĭ Mikhaĭlovich 1 Baburin, O. V. 1 Berezin, B. I. 1 Bessonov, Yu. L. 1 Bogolyubov, Aleksandr Nikolaevich 1 Bogovskij, M. E. 1 Borovkov, Aleksandr Alekseevich 1 Butuzov, Valentin Fëdorovich 1 Chentsov, Nikolaĭ Nikolaevich 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Chubarikov, Vladimir Nikolaevich 1 Dezin, Alekseĭ Alekseevich 1 Dobrushin, Roland L’vovich 1 Dubinskiĭ, Yuliĭ Andreevich 1 Èglit, È. M. 1 Emel’yanov, Stanislav Vasil’evich 1 Faddeev, Lyudvig Dmitrievich 1 Faminskii, Andrei V. 1 Filippov, Vladimir Mikhailovich 1 Galkin, V. A. 1 Kholevo, Aleksandr Semënovich 1 Ibragimov, Il’dar Abdullovich 1 Il’yushin, Alekseĭ Antonovich 1 Ishlinskiĭ, Aleksandr Yul’evich 1 Kalashnikov, Anatoliĭ Sergeevich 1 Kamynin, Vitaly Leonidovich 1 Kantorovich, Leonid Vital’evich 1 Khas’minskiĭ, Rafail Zalmanovich 1 Korobov, Nikolaĭ Mikhaĭlovich 1 Kostomarov, Dmitrii Pavlovich 1 Kruzhkov, Stanislav Nicolayevich 1 Kudryavtsev, Lev Dmitrievich 1 Lupanov, Oleg Borisovich 1 Maslennikova, Vera Nikolaevna 1 Maslov, Viktor Pavlovich 1 Metr, J. F. 1 Mishchenko, Evgeniĭ Frolovich 1 Moiseev, Evgeniĭ Ivanovich 1 Nikol’skii, A. M. 1 1 Panov, Evgeniy Yu. 1 Parashkevov, Rossen R. 1 Petrosyan, N. S. 1 Pobedrya, Boris Efimovich 1 Potapov, Mikhaĭl Konstantinovich 1 Prokhorov, Yuriĭ Vasil’evich 1 Reshetnyak, Yuriĭ Grigor’evich 1 Sadovnichiĭ, Viktor Antonovich 1 Saint Jean Paulin, Jeannine 1 Samarskiĭ, Aleksandr Andreevich 1 Sandrakov, Gennadij V. 1 Sewat’yanov, B. A. 1 Shiryaev, Al’bert Nikolaevich 1 Shutyaev, Victor Petrovich 1 Sinaĭ, Yakov Grigor’evich 1 Skorokhod, Anatoliĭ Volodymyrovych 1 Statulevičius, Vytautas 1 Strekho, M. 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Zabolotskaya, E. A. 1 Zabrodin, Anton V. 1 Zelikin, Mikhail Il’ich 1 Zhidkov, N. P. P. 1 Zhilejkin, Ya. M. 1 Zlotnik, Alexander A. 1 Zolotarëv, Vladimir Mikhaĭlovich all top 5 Serials 17 U.S.S.R. Computational Mathematics and Mathematical Physics 16 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 8 Soviet Mathematics. Doklady 8 Computational Mathematics and Mathematical Physics 6 Russian Mathematical Surveys 5 Doklady Akademii Nauk SSSR 4 Russian Journal of Numerical Analysis and Mathematical Modelling 4 Doklady Mathematics 3 Prikladnaya Matematika i Mekhanika 3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 3 Russian Academy of Sciences. Doklady. Mathematics 2 Applicable Analysis 2 Mathematical Notes 2 Moscow University Mechanics Bulletin 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Vestnik Moskovskogo Universiteta. Seriya Matematiki, Mekhaniki, Astronomii, Fiziki, Khimii 2 Proceedings of the Steklov Institute of Mathematics 1 Analysis Mathematica 1 Matematicheskie Zametki 1 Moscow University Mathematics Bulletin 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Theory of Probability and its Applications 1 Aplikace Matematiky 1 Differential Equations 1 Moscow University Computational Mathematics and Cybernetics 1 Journal of Complexity 1 Asymptotic Analysis 1 Soviet Physics. Doklady 1 Vestnik Moskovskogo Universiteta. Seriya 15 1 Vychislitel’nye Protsessy i Sistemy 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Differential Equations 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Mathematics and Its Applications. Soviet Series 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 59 Partial differential equations (35-XX) 56 Numerical analysis (65-XX) 35 Mechanics of deformable solids (74-XX) 13 Fluid mechanics (76-XX) 11 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 11 Approximations and expansions (41-XX) 10 Ordinary differential equations (34-XX) 9 Classical thermodynamics, heat transfer (80-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 915 times in 850 Documents Cited by ▼ Year ▼ Homogenisation: Averaging processes in periodic media. Mathematical problems in the mechanics of composite materials. Transl. from the Russian by D. Leites. Zbl 0692.73012Bakhvalov, N. S.; Panasenko, G. 286 1989 Averaging processes in periodic media. Mathematical problems of the mechanics of composite materials. (Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov). Zbl 0607.73009Bakhvalov, N. S.; Panasenko, G. P. 211 1984 Numerical methods. Textbook. (Chislennye metody. Uchebnoe posobie). Zbl 0638.65001Bakhvalov, N. S.; Zhidkov, N. P.; Kobel’kov, G. M. 56 1987 The optimization of methods of solving boundary value problems with a boundary layer. Zbl 0228.65072Bakhvalov, N. S. 48 1971 On the optimality of linear methods for operator approximation in convex classes of functions. Zbl 0254.41013Bakhvalov, N. S. 42 1973 On the convergence of a relaxation method under natural constraints on the elliptic operator. Zbl 0154.41002Bakhvalov, N. S. 27 1966 Variational properties of averaged equations for periodic media. Zbl 0780.73045Bakhvalov, N. S.; Èglit, M. È. 26 1990 Averaging of partial differential equations with rapidly oscillating coefficients. Zbl 0331.35009Bakhvalov, N. S. 20 1975 Über die Optimalität linearer Methoden zur Approximation von Operatoren auf konvexen Funktionenklassen. Zbl 0252.41024Bakhvalov, N. S. 18 1971 Evaluation of the integrals of oscillating functions by interpolation at nodes of Gaussian quadratures. Zbl 0196.17502Bakhvalov, N. S.; Vasil’eva, L. G. 16 1968 On the optimization of numerical algorithms. Zbl 0766.65128Bakhvalov, N. S. 13 1992 On the approximate calculation of multiple integrals. Zbl 1320.65041Bakhvalov, Nikolai Sergeevich 11 2015 Optimization of methods of solving ordinary differential equations with strongly oscillatin g solutions. Zbl 0263.34042Bakhvalov, N. S. 9 1973 On the existence in the large of a regular solution of a quasilinear hyperbolic system. (Über die Existenz einer regulären Lösung eines quasilinearen hyperbolischen Systems im Großen.) Zbl 0204.41702Bakhvalov, N. S. 9 1970 Global existence of the regular solution of a quasilinear hyperbolic system. Zbl 0243.35065Bakhvalov, N. S. 7 1972 On the optimal speed of integrating analytic functions. Zbl 0207.16103Bakhvalov, N. S. 7 1970 Averaging of nonlinear partial differential equations with rapidly oscillating coefficients. Zbl 0344.35005Bakhvalov, N. S. 6 1975 Effective equations with dispersion for waves propagating in periodic media. Zbl 1047.35015Bakhvalov, N. S.; Eglit, M. E. 6 2000 An estimate of the mean remainder term in quadrature formulae. Zbl 0127.08603Bakhvalov, N. S. 5 1961 Zur Optimierung von Methoden zur Lösung von Randwertaufgaben bei Vorhandensein der Grenzschicht. Zbl 0208.19103Bakhvalov, N. S. 5 1969 Nonlinear theory of sound waves. (Nelinejnaya teoriya zvukovykh puchkov). Zbl 0632.76096Bakhvalov, N. S.; Zhilejkin, Ya. M.; Zabolotskaya, E. A. 4 1982 Fast methods of solving Poisson’s equation. Zbl 0561.65075Bakhvalov, N. S.; Orekhov, M. Yu. 4 1982 Iterative methods for solving equations with highly varying coefficients. Zbl 0766.65096Bakhvalov, N. S.; Knyazev, A. V.; Kobel’kov, G. M. 4 1991 Fictitious domain methods and computation of homogenized properties of composites with a periodic structure of essentially different components. Zbl 0865.73005Bakhvalov, N. S.; Knyazev, A. V. 4 1994 Numerische Methoden. Analysis, Algebra, gewöhnliche Differentialgleichungen. (Cislennye metody. Analiz, algebra, obyknovennye differencial’nye uravnenija.) Lehrbuch. Zbl 0274.65002Bakhvalov, N. S. 4 1973 A new iterative algorithm for solving problems of the fictitious flow method for elliptic equations. Zbl 0733.35033Bakhvalov, N. S.; Knyazev, A. V. 4 1990 Processes in a periodic medium which are not describable by averaged characteristics. Zbl 0569.35067Bakhvalov, N. S.; Èglit, M. È. 3 1983 Efficient computation of averaged characteristics of composites of a periodic structure of essentially different materials. Zbl 0746.73001Bakhvalov, N. S.; Knyazev, A. V. 3 1990 Equations ofhigher order of accuracy describing the vibrations of thin plates. Zbl 1100.74578Bakhvalov, N. S.; Eglit, M. E. 3 2005 Über optimale Abschätzungen der Konvergenz von Quadraturprozessen und Integrationsmethoden vom Monte-Carlo-Typus auf Funktionenklassen. Zbl 0246.65011Bakhvalov, N. S. 3 1964 Works of S. N. Kruzhkov. Collected articles. Ed. by N. S. Bakhvalov, V. A. Galkin, Yu. A. Dubinskij. (Trudy S. N. Kruzhkova: Sbornik statej.) Zbl 0949.01028Kruzhkov, S. N. 3 2000 Parallel algorithms for the solution of some stationary problems of mathematical physics. (Parallel’nye algoritmy resheniya nekotorykh statsionarnykh zadach matematicheskoj fiziki). Zbl 0596.65064Lebedev, V. I.; Bakhvalov, N. S.; Agoshkov, V. I.; Baburin, O. V.; Knyazev, A. V.; Shutyaev, V. P. 2 1984 Méthodes numériques. Analyse, algèbre, équations différentielles ordinaires. Traduit du russe par Irina Petrova. Zbl 0361.65003Bakhvalov, N. 2 1976 Solution of the Stokes nonstationary problems by the fictitious domain method. Zbl 0836.76067Bakhvalov, N. S. 2 1995 Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients. Zbl 0817.65026Bakhvalov, Nikolai S.; Knyazev, Andrew V. 2 1994 An estimate of the error of averaging the dynamics of small perturbations of very inhomogeneous mixtures. Zbl 0821.76080Bakhvalov, N. S.; Èglit, M. È. 2 1994 A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative. Zbl 0255.41025Bakhvalov, N. S. 2 1973 Averaging of the equations of the dynamics of composites of slightly compressible elastic components. Zbl 0795.73050Bakhvalov, N. S.; Èglit, M. È. 2 1993 Averaging of processes in periodic media. Zbl 0658.73006Bakhvalov, N. S. 2 1985 Averaging of the heat-transfer process in periodic media with radiation. Zbl 0496.35043Bakhvalov, N. S. 2 1982 Precise estimates of the difference between the homogenized solution with its first corrector and the original one. Zbl 1022.65122Bakhvalov, N. S.; Bourgeat, A. 2 1998 An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains. Zbl 0970.65121Bakhvalov, N. S.; Bogachev, K. Yu.; Metr, J. F. 2 1999 Extension theorems for Stokes and Lamé equations for nearly incompressible media and their applications to numerical solution of problems with highly discontinuous coefficients. Zbl 1071.74578Bakhvalov, N. S.; Knyazev, A. V.; Parashkevov, R. R. 2 2002 Coefficient stability of differential equations and averaging of equations with random coefficients. Zbl 0417.35078Bakhvalov, N. S.; Zlotnik, A. A. 2 1978 A method for an approximate solution of Laplace’s equation. Zbl 0098.09601Bakhvalov, N. S. 2 1957 On fast methods for solving the Poisson equation. Zbl 0536.65081Bakhvalov, N. S.; Orekhov, M. Yu. 1 1982 Methods for efficient computation of averaged characteristics of composites of periodic structure of essentially heterogeneous materials. Zbl 0753.73009Bakhvalov, N. S.; Knyazev, A. V. 1 1991 High-order accurate equations describing vibrations of thin bars. Zbl 1210.74099Bakhvalov, N. S.; Eglit, M. E. 1 2006 Energy estimates in the case of nonapplicability of the Korn inequality, and orthogonal decompositions in spaces of matrices. Zbl 0925.26013Bakhvalov, N. S.; Èglit, M. È. 1 1994 The averaging method for partial differential equations (homogenization) and its applications. Zbl 0907.35019Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L. 1 1988 Homogenization of the equation modeling the statics and the dynamics of an incompressible porous medium. Zbl 0921.35016Bakhvalov, N. S.; Èglit, M. È. 1 1996 The asymptotics for small \(\varepsilon\) of the solution of the equation \(u_t+ (\varphi(u))_x=\varepsilon u_{xx}\), corresponding to a refraction wave, in the degenerate case. Zbl 0259.65084Bakhvalov, N. S. 1 1970 Properties of optimal methods for the solution of problems of mathematical physics. Zbl 0261.65062Bakhvalov, N. S. 1 1972 On optimal methods of specifying information during the solution of differential equations. Zbl 0123.32401Bakhvalov, N. S. 1 1962 Estimation of the error of numerical integration of a first-order quasilinear equation. Zbl 0135.17903Bakhvalov, N. S. 1 1961 A lower bound for the randomness measure required in the use of the Monte-Carlo method. Zbl 0157.23402Bakhvalov, N. S. 1 1967 On the asymptotics with small \(\epsilon\) of the solution of the equation \(u_ t + {(\varphi(u))_ x} = \varepsilon u_{xx}\), corresponding to a rarefaction wave. Zbl 0219.65076Bakhvalov, N. S. 1 1968 On the asymptotic behavior of the solution of the equation \(u_ t + (\phi (u))_ x = \epsilon u_{xx}\), which for small \(\epsilon\) correspond to the damper oscillation. Zbl 0223.65085Bakhvalov, N. S. 1 1966 The averaging method for partial differential equation and its applications. Zbl 0657.35017Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L. 1 1988 Interpolation theorems for classes of functions with dominating mixed derivative. Zbl 0679.46056Bakhvalov, N. S. 1 1989 Multiparametric problems of homogenization theory. Zbl 1081.74538Bakhvalov, N. S.; Eglit, M. E. 1 1999 Long-wave asymptotics with dispersion for waves propagation in stratified media. I: Waves orthogonal to the layers. Zbl 0946.65080Bakhvalov, N. S.; Eglit, M. E. 1 2000 Long-wave asymptotics with dispersion for waves propagation in stratified media. II: Waves in an arbitrary direction. Zbl 1066.35505Bakhvalov, N. S.; Eglit, M. E. 1 2000 The averaging of the transfer equation for a periodic medium. Zbl 0461.35022Bakhvalov, N. S. 1 1981 Zur Abschätzung des Fehlers bei der numerischen Integration von Differentialgleichungen nach der Extrapolationsmethode von Adams. Zbl 0065.10904Bakhvalov, N. S. 1 1955 On the approximate calculation of multiple integrals. Zbl 1320.65041Bakhvalov, Nikolai Sergeevich 11 2015 High-order accurate equations describing vibrations of thin bars. Zbl 1210.74099Bakhvalov, N. S.; Eglit, M. E. 1 2006 Equations ofhigher order of accuracy describing the vibrations of thin plates. Zbl 1100.74578Bakhvalov, N. S.; Eglit, M. E. 3 2005 Extension theorems for Stokes and Lamé equations for nearly incompressible media and their applications to numerical solution of problems with highly discontinuous coefficients. Zbl 1071.74578Bakhvalov, N. S.; Knyazev, A. V.; Parashkevov, R. R. 2 2002 Effective equations with dispersion for waves propagating in periodic media. Zbl 1047.35015Bakhvalov, N. S.; Eglit, M. E. 6 2000 Works of S. N. Kruzhkov. Collected articles. Ed. by N. S. Bakhvalov, V. A. Galkin, Yu. A. Dubinskij. (Trudy S. N. Kruzhkova: Sbornik statej.) Zbl 0949.01028Kruzhkov, S. N. 3 2000 Long-wave asymptotics with dispersion for waves propagation in stratified media. I: Waves orthogonal to the layers. Zbl 0946.65080Bakhvalov, N. S.; Eglit, M. E. 1 2000 Long-wave asymptotics with dispersion for waves propagation in stratified media. II: Waves in an arbitrary direction. Zbl 1066.35505Bakhvalov, N. S.; Eglit, M. E. 1 2000 An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains. Zbl 0970.65121Bakhvalov, N. S.; Bogachev, K. Yu.; Metr, J. F. 2 1999 Multiparametric problems of homogenization theory. Zbl 1081.74538Bakhvalov, N. S.; Eglit, M. E. 1 1999 Precise estimates of the difference between the homogenized solution with its first corrector and the original one. Zbl 1022.65122Bakhvalov, N. S.; Bourgeat, A. 2 1998 Homogenization of the equation modeling the statics and the dynamics of an incompressible porous medium. Zbl 0921.35016Bakhvalov, N. S.; Èglit, M. È. 1 1996 Solution of the Stokes nonstationary problems by the fictitious domain method. Zbl 0836.76067Bakhvalov, N. S. 2 1995 Fictitious domain methods and computation of homogenized properties of composites with a periodic structure of essentially different components. Zbl 0865.73005Bakhvalov, N. S.; Knyazev, A. V. 4 1994 Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients. Zbl 0817.65026Bakhvalov, Nikolai S.; Knyazev, Andrew V. 2 1994 An estimate of the error of averaging the dynamics of small perturbations of very inhomogeneous mixtures. Zbl 0821.76080Bakhvalov, N. S.; Èglit, M. È. 2 1994 Energy estimates in the case of nonapplicability of the Korn inequality, and orthogonal decompositions in spaces of matrices. Zbl 0925.26013Bakhvalov, N. S.; Èglit, M. È. 1 1994 Averaging of the equations of the dynamics of composites of slightly compressible elastic components. Zbl 0795.73050Bakhvalov, N. S.; Èglit, M. È. 2 1993 On the optimization of numerical algorithms. Zbl 0766.65128Bakhvalov, N. S. 13 1992 Iterative methods for solving equations with highly varying coefficients. Zbl 0766.65096Bakhvalov, N. S.; Knyazev, A. V.; Kobel’kov, G. M. 4 1991 Methods for efficient computation of averaged characteristics of composites of periodic structure of essentially heterogeneous materials. Zbl 0753.73009Bakhvalov, N. S.; Knyazev, A. V. 1 1991 Variational properties of averaged equations for periodic media. Zbl 0780.73045Bakhvalov, N. S.; Èglit, M. È. 26 1990 A new iterative algorithm for solving problems of the fictitious flow method for elliptic equations. Zbl 0733.35033Bakhvalov, N. S.; Knyazev, A. V. 4 1990 Efficient computation of averaged characteristics of composites of a periodic structure of essentially different materials. Zbl 0746.73001Bakhvalov, N. S.; Knyazev, A. V. 3 1990 Homogenisation: Averaging processes in periodic media. Mathematical problems in the mechanics of composite materials. Transl. from the Russian by D. Leites. Zbl 0692.73012Bakhvalov, N. S.; Panasenko, G. 286 1989 Interpolation theorems for classes of functions with dominating mixed derivative. Zbl 0679.46056Bakhvalov, N. S. 1 1989 The averaging method for partial differential equations (homogenization) and its applications. Zbl 0907.35019Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L. 1 1988 The averaging method for partial differential equation and its applications. Zbl 0657.35017Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L. 1 1988 Numerical methods. Textbook. (Chislennye metody. Uchebnoe posobie). Zbl 0638.65001Bakhvalov, N. S.; Zhidkov, N. P.; Kobel’kov, G. M. 56 1987 Averaging of processes in periodic media. Zbl 0658.73006Bakhvalov, N. S. 2 1985 Averaging processes in periodic media. Mathematical problems of the mechanics of composite materials. (Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov). Zbl 0607.73009Bakhvalov, N. S.; Panasenko, G. P. 211 1984 Parallel algorithms for the solution of some stationary problems of mathematical physics. (Parallel’nye algoritmy resheniya nekotorykh statsionarnykh zadach matematicheskoj fiziki). Zbl 0596.65064Lebedev, V. I.; Bakhvalov, N. S.; Agoshkov, V. I.; Baburin, O. V.; Knyazev, A. V.; Shutyaev, V. P. 2 1984 Processes in a periodic medium which are not describable by averaged characteristics. Zbl 0569.35067Bakhvalov, N. S.; Èglit, M. È. 3 1983 Nonlinear theory of sound waves. (Nelinejnaya teoriya zvukovykh puchkov). Zbl 0632.76096Bakhvalov, N. S.; Zhilejkin, Ya. M.; Zabolotskaya, E. A. 4 1982 Fast methods of solving Poisson’s equation. Zbl 0561.65075Bakhvalov, N. S.; Orekhov, M. Yu. 4 1982 Averaging of the heat-transfer process in periodic media with radiation. Zbl 0496.35043Bakhvalov, N. S. 2 1982 On fast methods for solving the Poisson equation. Zbl 0536.65081Bakhvalov, N. S.; Orekhov, M. Yu. 1 1982 The averaging of the transfer equation for a periodic medium. Zbl 0461.35022Bakhvalov, N. S. 1 1981 Coefficient stability of differential equations and averaging of equations with random coefficients. Zbl 0417.35078Bakhvalov, N. S.; Zlotnik, A. A. 2 1978 Méthodes numériques. Analyse, algèbre, équations différentielles ordinaires. Traduit du russe par Irina Petrova. Zbl 0361.65003Bakhvalov, N. 2 1976 Averaging of partial differential equations with rapidly oscillating coefficients. Zbl 0331.35009Bakhvalov, N. S. 20 1975 Averaging of nonlinear partial differential equations with rapidly oscillating coefficients. Zbl 0344.35005Bakhvalov, N. S. 6 1975 On the optimality of linear methods for operator approximation in convex classes of functions. Zbl 0254.41013Bakhvalov, N. S. 42 1973 Optimization of methods of solving ordinary differential equations with strongly oscillatin g solutions. Zbl 0263.34042Bakhvalov, N. S. 9 1973 Numerische Methoden. Analysis, Algebra, gewöhnliche Differentialgleichungen. (Cislennye metody. Analiz, algebra, obyknovennye differencial’nye uravnenija.) Lehrbuch. Zbl 0274.65002Bakhvalov, N. S. 4 1973 A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative. Zbl 0255.41025Bakhvalov, N. S. 2 1973 Global existence of the regular solution of a quasilinear hyperbolic system. Zbl 0243.35065Bakhvalov, N. S. 7 1972 Properties of optimal methods for the solution of problems of mathematical physics. Zbl 0261.65062Bakhvalov, N. S. 1 1972 The optimization of methods of solving boundary value problems with a boundary layer. Zbl 0228.65072Bakhvalov, N. S. 48 1971 Über die Optimalität linearer Methoden zur Approximation von Operatoren auf konvexen Funktionenklassen. Zbl 0252.41024Bakhvalov, N. S. 18 1971 On the existence in the large of a regular solution of a quasilinear hyperbolic system. (Über die Existenz einer regulären Lösung eines quasilinearen hyperbolischen Systems im Großen.) Zbl 0204.41702Bakhvalov, N. S. 9 1970 On the optimal speed of integrating analytic functions. Zbl 0207.16103Bakhvalov, N. S. 7 1970 The asymptotics for small \(\varepsilon\) of the solution of the equation \(u_t+ (\varphi(u))_x=\varepsilon u_{xx}\), corresponding to a refraction wave, in the degenerate case. Zbl 0259.65084Bakhvalov, N. S. 1 1970 Zur Optimierung von Methoden zur Lösung von Randwertaufgaben bei Vorhandensein der Grenzschicht. Zbl 0208.19103Bakhvalov, N. S. 5 1969 Evaluation of the integrals of oscillating functions by interpolation at nodes of Gaussian quadratures. Zbl 0196.17502Bakhvalov, N. S.; Vasil’eva, L. G. 16 1968 On the asymptotics with small \(\epsilon\) of the solution of the equation \(u_ t + {(\varphi(u))_ x} = \varepsilon u_{xx}\), corresponding to a rarefaction wave. Zbl 0219.65076Bakhvalov, N. S. 1 1968 A lower bound for the randomness measure required in the use of the Monte-Carlo method. Zbl 0157.23402Bakhvalov, N. S. 1 1967 On the convergence of a relaxation method under natural constraints on the elliptic operator. Zbl 0154.41002Bakhvalov, N. S. 27 1966 On the asymptotic behavior of the solution of the equation \(u_ t + (\phi (u))_ x = \epsilon u_{xx}\), which for small \(\epsilon\) correspond to the damper oscillation. Zbl 0223.65085Bakhvalov, N. S. 1 1966 Über optimale Abschätzungen der Konvergenz von Quadraturprozessen und Integrationsmethoden vom Monte-Carlo-Typus auf Funktionenklassen. Zbl 0246.65011Bakhvalov, N. S. 3 1964 On optimal methods of specifying information during the solution of differential equations. Zbl 0123.32401Bakhvalov, N. S. 1 1962 An estimate of the mean remainder term in quadrature formulae. Zbl 0127.08603Bakhvalov, N. S. 5 1961 Estimation of the error of numerical integration of a first-order quasilinear equation. Zbl 0135.17903Bakhvalov, N. S. 1 1961 A method for an approximate solution of Laplace’s equation. Zbl 0098.09601Bakhvalov, N. S. 2 1957 Zur Abschätzung des Fehlers bei der numerischen Integration von Differentialgleichungen nach der Extrapolationsmethode von Adams. Zbl 0065.10904Bakhvalov, N. S. 1 1955 all cited Publications top 5 cited Publications all top 5 Cited by 1,046 Authors 32 Suslina, Tat’yana Aleksandrovna 21 Rodríguez-Ramos, Reinaldo 17 Panasenko, Grigory P. 17 Woźniakowski, Henryk 14 Bravo-Castillero, Julián 14 Nazarov, Sergeĭ Aleksandrovich 12 Pastukhova, Svetlana Evgenievna 12 Sabina, Federico J. 11 Chechkin, Gregory Aleksandrovich 11 Guinovart-Díaz, Raúl 11 Kalamkarov, Alexander L. 11 Novak, Erich 11 Penta, Raimondo 10 Werschulz, Arthur G. 9 Gorbachëv, Vladimir Ivanovich 9 Zadorin, Aleksandr Ivanovich 8 Andrianov, Igor V. 8 Kolpakov, Alexander G. 8 Pérez-Fernández, Leslie D. 7 Allaire, Grégoire 7 Amosov, Andreĭ Avenirovich 7 Berdichevskiĭ, Viktor L’vovich 7 Cherednichenko, Kirill D. 7 Danishevskiĭ, Vladislav Valentinovich 7 Dobrokhotov, Sergei Yurievich 7 Visintin, Augusto 7 Vulanović, Relja 6 Birman, Mikhail Shlëmovich 6 Frid, Hermano 6 Meshkova, Yuliya Mikhaĭlovna 6 Ramírez-Torres, Ariel 6 Shishkin, Grigoriĭ Ivanovich 6 Ullrich, Mario 5 Blatov, Igor A. 5 Borisov, Denis Ivanovich 5 Craster, Richard V. 5 Dorodnyi, M. A. 5 Franz, Sebastian 5 Georgiades, A. V. 5 Grushin, V. V. 5 Kitaeva, E. V. 5 Nhan, Thái Anh 5 Parnell, William J. 5 Parton, Vladimir Z. 5 Shumilova, Vladlena Valerievna 5 Temizer, Ilker 5 Wasilkowski, Grzegorz W. 5 Wriggers, Peter 5 Zhikov, Vasiliĭ Vasil’evich 4 Bacigalupo, Andrea 4 Bakhvalov, Nikolai Sergeevich 4 Boyanov, Borislav Dechev 4 Brenner, Renald 4 Defranceschi, Anneliese 4 Dehghan Takht Fooladi, Mehdi 4 Hayotov, Abdullo Rakhmonovich 4 Hoang, Viet Ha 4 Kudryavtsev, Boris A. 4 Lebon, Frédéric 4 Mel’nik, T. A. 4 Mel’nyk, Taras A. 4 Merodio, Jose 4 Piatnitski, Andrey L. 4 Shamaev, Alexei S. 4 Smyshlyaev, Valery P. 4 Vlasov, Vladimir Ivanovich 4 Volkov-Bogorodsky, Dmitrij B. 4 Weichert, Dieter 4 Woźniak, Czesław 4 Zadorin, Nikita Alexandrovich 3 Abdulle, Assyr 3 Abrahams, I. David 3 Argatov, Ivan I. 3 Axelsson, Axel Owe Holger 3 Bakholdin, Igor B. 3 Bank, Randolph E. 3 Bezrodnykh, Sergeĭ I. 3 Briane, Marc 3 Brito-Santana, Humberto 3 Cao, Liqun 3 Chechkina, Tatiana P. 3 Cheng, Gengdong 3 Chepyzhov, Vladimir V. 3 Chiadò Piat, Valeria 3 Chugaĭnova, Anna Pavlova 3 Chung, Tsz Shun Eric 3 Cioranescu, Doina 3 Cruz, Manuel E. 3 Dalla Riva, Matteo 3 De Bellis, Maria Laura 3 Èglit, Margarita Èrnestovna 3 Ferreira, António Joaquim Mendes 3 Fish, Jacob 3 Gavrikov, Alexander A. 3 Guenneau, Sebastien R. L. 3 Hadjiloizi, D. A. 3 Heinrich, Stefan 3 Hou, Thomas Yizhao 3 Jäger, Willi 3 Kamynin, Vitaly Leonidovich ...and 946 more Authors all top 5 Cited in 178 Serials 44 Journal of Mathematical Sciences (New York) 35 Journal of Complexity 34 Mathematical Notes 32 Journal of Applied Mathematics and Mechanics 31 Computer Methods in Applied Mechanics and Engineering 31 Computational Mathematics and Mathematical Physics 27 St. Petersburg Mathematical Journal 26 International Journal of Engineering Science 21 Journal of Computational and Applied Mathematics 16 European Journal of Mechanics. A. Solids 14 Journal of the Mechanics and Physics of Solids 13 Doklady Mathematics 12 Computers & Mathematics with Applications 12 Siberian Mathematical Journal 12 Differential Equations 11 Journal of Differential Equations 10 Acta Mechanica 10 Journal of Mathematical Analysis and Applications 10 Proceedings of the Steklov Institute of Mathematics 9 Prikladnaya Matematika i Mekhanika 9 Applied Mathematics and Computation 9 Functional Analysis and its Applications 9 Lobachevskii Journal of Mathematics 8 Fluid Dynamics 8 Journal of Computational Physics 8 Numerische Mathematik 8 Applied Numerical Mathematics 8 Numerical Algorithms 8 Mathematics and Mechanics of Solids 7 Archive for Rational Mechanics and Analysis 7 Moscow University Mechanics Bulletin 7 Computational Mechanics 7 Applied Mathematical Modelling 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Applicable Analysis 6 International Journal of Solids and Structures 6 Ukrainian Mathematical Journal 6 Mathematics of Computation 6 Multiscale Modeling & Simulation 5 Communications in Mathematical Physics 5 Wave Motion 5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 5 Journal of Approximation Theory 5 Meccanica 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Archive of Applied Mechanics 5 Cybernetics and Systems Analysis 5 Russian Mathematics 5 Matematicheskoe Modelirovanie 4 Journal of Engineering Mathematics 4 Mathematical Methods in the Applied Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 BIT 4 Calcolo 4 Computing 4 Journal of Soviet Mathematics 4 Mathematical and Computer Modelling 4 Linear Algebra and its Applications 4 Continuum Mechanics and Thermodynamics 4 Russian Journal of Mathematical Physics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Lithuanian Mathematical Journal 3 Moscow University Mathematics Bulletin 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 International Journal for Numerical Methods in Engineering 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Numerical Analysis 3 Acta Applicandae Mathematicae 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Applications of Mathematics 3 Journal of Elasticity 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Journal of Computer and Systems Sciences International 3 Calculus of Variations and Partial Differential Equations 3 International Applied Mechanics 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Advances in Computational Mathematics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computational Methods in Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Numerical Mathematics 3 Communications on Pure and Applied Analysis 3 Journal of Hyperbolic Differential Equations 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Functional Analysis 2 Mechanics Research Communications 2 Transactions of the American Mathematical Society 2 Transactions of the Moscow Mathematical Society 2 Physica D 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 Aequationes Mathematicae 2 Communications in Partial Differential Equations 2 Vestnik St. Petersburg University. Mathematics 2 Numerical Linear Algebra with Applications 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Chemistry ...and 78 more Serials all top 5 Cited in 47 Fields 359 Partial differential equations (35-XX) 306 Mechanics of deformable solids (74-XX) 255 Numerical analysis (65-XX) 112 Fluid mechanics (76-XX) 68 Approximations and expansions (41-XX) 47 Operator theory (47-XX) 45 Ordinary differential equations (34-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 26 Optics, electromagnetic theory (78-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Computer science (68-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Biology and other natural sciences (92-XX) 11 Functional analysis (46-XX) 11 Probability theory and stochastic processes (60-XX) 9 Geophysics (86-XX) 9 Systems theory; control (93-XX) 8 Functions of a complex variable (30-XX) 8 Integral equations (45-XX) 6 Operations research, mathematical programming (90-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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