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Bakhvalov, Nikolai Sergeevich

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Author ID: bakhvalov.nikolai-s Recent zbMATH articles by "Bakhvalov, Nikolai Sergeevich"
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

Publications by Year

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 0692.73012
Bakhvalov, 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 0607.73009
Bakhvalov, N. S.; Panasenko, G. P.
211
1984
Numerical methods. Textbook. (Chislennye metody. Uchebnoe posobie). Zbl 0638.65001
Bakhvalov, 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 0228.65072
Bakhvalov, N. S.
48
1971
On the optimality of linear methods for operator approximation in convex classes of functions. Zbl 0254.41013
Bakhvalov, N. S.
42
1973
On the convergence of a relaxation method under natural constraints on the elliptic operator. Zbl 0154.41002
Bakhvalov, N. S.
27
1966
Variational properties of averaged equations for periodic media. Zbl 0780.73045
Bakhvalov, N. S.; Èglit, M. È.
26
1990
Averaging of partial differential equations with rapidly oscillating coefficients. Zbl 0331.35009
Bakhvalov, N. S.
20
1975
Über die Optimalität linearer Methoden zur Approximation von Operatoren auf konvexen Funktionenklassen. Zbl 0252.41024
Bakhvalov, N. S.
18
1971
Evaluation of the integrals of oscillating functions by interpolation at nodes of Gaussian quadratures. Zbl 0196.17502
Bakhvalov, N. S.; Vasil’eva, L. G.
16
1968
On the optimization of numerical algorithms. Zbl 0766.65128
Bakhvalov, N. S.
13
1992
On the approximate calculation of multiple integrals. Zbl 1320.65041
Bakhvalov, Nikolai Sergeevich
11
2015
Optimization of methods of solving ordinary differential equations with strongly oscillatin g solutions. Zbl 0263.34042
Bakhvalov, 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 0204.41702
Bakhvalov, N. S.
9
1970
Global existence of the regular solution of a quasilinear hyperbolic system. Zbl 0243.35065
Bakhvalov, N. S.
7
1972
On the optimal speed of integrating analytic functions. Zbl 0207.16103
Bakhvalov, N. S.
7
1970
Averaging of nonlinear partial differential equations with rapidly oscillating coefficients. Zbl 0344.35005
Bakhvalov, N. S.
6
1975
Effective equations with dispersion for waves propagating in periodic media. Zbl 1047.35015
Bakhvalov, N. S.; Eglit, M. E.
6
2000
An estimate of the mean remainder term in quadrature formulae. Zbl 0127.08603
Bakhvalov, N. S.
5
1961
Zur Optimierung von Methoden zur Lösung von Randwertaufgaben bei Vorhandensein der Grenzschicht. Zbl 0208.19103
Bakhvalov, N. S.
5
1969
Nonlinear theory of sound waves. (Nelinejnaya teoriya zvukovykh puchkov). Zbl 0632.76096
Bakhvalov, N. S.; Zhilejkin, Ya. M.; Zabolotskaya, E. A.
4
1982
Fast methods of solving Poisson’s equation. Zbl 0561.65075
Bakhvalov, N. S.; Orekhov, M. Yu.
4
1982
Iterative methods for solving equations with highly varying coefficients. Zbl 0766.65096
Bakhvalov, 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 0865.73005
Bakhvalov, N. S.; Knyazev, A. V.
4
1994
Numerische Methoden. Analysis, Algebra, gewöhnliche Differentialgleichungen. (Cislennye metody. Analiz, algebra, obyknovennye differencial’nye uravnenija.) Lehrbuch. Zbl 0274.65002
Bakhvalov, N. S.
4
1973
A new iterative algorithm for solving problems of the fictitious flow method for elliptic equations. Zbl 0733.35033
Bakhvalov, N. S.; Knyazev, A. V.
4
1990
Processes in a periodic medium which are not describable by averaged characteristics. Zbl 0569.35067
Bakhvalov, N. S.; Èglit, M. È.
3
1983
Efficient computation of averaged characteristics of composites of a periodic structure of essentially different materials. Zbl 0746.73001
Bakhvalov, N. S.; Knyazev, A. V.
3
1990
Equations ofhigher order of accuracy describing the vibrations of thin plates. Zbl 1100.74578
Bakhvalov, N. S.; Eglit, M. E.
3
2005
Über optimale Abschätzungen der Konvergenz von Quadraturprozessen und Integrationsmethoden vom Monte-Carlo-Typus auf Funktionenklassen. Zbl 0246.65011
Bakhvalov, 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 0949.01028
Kruzhkov, 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 0596.65064
Lebedev, 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 0361.65003
Bakhvalov, N.
2
1976
Solution of the Stokes nonstationary problems by the fictitious domain method. Zbl 0836.76067
Bakhvalov, N. S.
2
1995
Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients. Zbl 0817.65026
Bakhvalov, Nikolai S.; Knyazev, Andrew V.
2
1994
An estimate of the error of averaging the dynamics of small perturbations of very inhomogeneous mixtures. Zbl 0821.76080
Bakhvalov, N. S.; Èglit, M. È.
2
1994
A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative. Zbl 0255.41025
Bakhvalov, N. S.
2
1973
Averaging of the equations of the dynamics of composites of slightly compressible elastic components. Zbl 0795.73050
Bakhvalov, N. S.; Èglit, M. È.
2
1993
Averaging of processes in periodic media. Zbl 0658.73006
Bakhvalov, N. S.
2
1985
Averaging of the heat-transfer process in periodic media with radiation. Zbl 0496.35043
Bakhvalov, N. S.
2
1982
Precise estimates of the difference between the homogenized solution with its first corrector and the original one. Zbl 1022.65122
Bakhvalov, N. S.; Bourgeat, A.
2
1998
An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains. Zbl 0970.65121
Bakhvalov, 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 1071.74578
Bakhvalov, N. S.; Knyazev, A. V.; Parashkevov, R. R.
2
2002
Coefficient stability of differential equations and averaging of equations with random coefficients. Zbl 0417.35078
Bakhvalov, N. S.; Zlotnik, A. A.
2
1978
A method for an approximate solution of Laplace’s equation. Zbl 0098.09601
Bakhvalov, N. S.
2
1957
On fast methods for solving the Poisson equation. Zbl 0536.65081
Bakhvalov, N. S.; Orekhov, M. Yu.
1
1982
Methods for efficient computation of averaged characteristics of composites of periodic structure of essentially heterogeneous materials. Zbl 0753.73009
Bakhvalov, N. S.; Knyazev, A. V.
1
1991
High-order accurate equations describing vibrations of thin bars. Zbl 1210.74099
Bakhvalov, 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 0925.26013
Bakhvalov, N. S.; Èglit, M. È.
1
1994
The averaging method for partial differential equations (homogenization) and its applications. Zbl 0907.35019
Bakhvalov, 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 0921.35016
Bakhvalov, 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 0259.65084
Bakhvalov, N. S.
1
1970
Properties of optimal methods for the solution of problems of mathematical physics. Zbl 0261.65062
Bakhvalov, N. S.
1
1972
On optimal methods of specifying information during the solution of differential equations. Zbl 0123.32401
Bakhvalov, N. S.
1
1962
Estimation of the error of numerical integration of a first-order quasilinear equation. Zbl 0135.17903
Bakhvalov, N. S.
1
1961
A lower bound for the randomness measure required in the use of the Monte-Carlo method. Zbl 0157.23402
Bakhvalov, 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 0219.65076
Bakhvalov, 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 0223.65085
Bakhvalov, N. S.
1
1966
The averaging method for partial differential equation and its applications. Zbl 0657.35017
Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L.
1
1988
Interpolation theorems for classes of functions with dominating mixed derivative. Zbl 0679.46056
Bakhvalov, N. S.
1
1989
Multiparametric problems of homogenization theory. Zbl 1081.74538
Bakhvalov, 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 0946.65080
Bakhvalov, 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 1066.35505
Bakhvalov, N. S.; Eglit, M. E.
1
2000
The averaging of the transfer equation for a periodic medium. Zbl 0461.35022
Bakhvalov, N. S.
1
1981
Zur Abschätzung des Fehlers bei der numerischen Integration von Differentialgleichungen nach der Extrapolationsmethode von Adams. Zbl 0065.10904
Bakhvalov, N. S.
1
1955
On the approximate calculation of multiple integrals. Zbl 1320.65041
Bakhvalov, Nikolai Sergeevich
11
2015
High-order accurate equations describing vibrations of thin bars. Zbl 1210.74099
Bakhvalov, N. S.; Eglit, M. E.
1
2006
Equations ofhigher order of accuracy describing the vibrations of thin plates. Zbl 1100.74578
Bakhvalov, 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 1071.74578
Bakhvalov, N. S.; Knyazev, A. V.; Parashkevov, R. R.
2
2002
Effective equations with dispersion for waves propagating in periodic media. Zbl 1047.35015
Bakhvalov, 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 0949.01028
Kruzhkov, S. N.
3
2000
Long-wave asymptotics with dispersion for waves propagation in stratified media. I: Waves orthogonal to the layers. Zbl 0946.65080
Bakhvalov, 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 1066.35505
Bakhvalov, N. S.; Eglit, M. E.
1
2000
An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains. Zbl 0970.65121
Bakhvalov, N. S.; Bogachev, K. Yu.; Metr, J. F.
2
1999
Multiparametric problems of homogenization theory. Zbl 1081.74538
Bakhvalov, 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 1022.65122
Bakhvalov, N. S.; Bourgeat, A.
2
1998
Homogenization of the equation modeling the statics and the dynamics of an incompressible porous medium. Zbl 0921.35016
Bakhvalov, N. S.; Èglit, M. È.
1
1996
Solution of the Stokes nonstationary problems by the fictitious domain method. Zbl 0836.76067
Bakhvalov, N. S.
2
1995
Fictitious domain methods and computation of homogenized properties of composites with a periodic structure of essentially different components. Zbl 0865.73005
Bakhvalov, N. S.; Knyazev, A. V.
4
1994
Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients. Zbl 0817.65026
Bakhvalov, Nikolai S.; Knyazev, Andrew V.
2
1994
An estimate of the error of averaging the dynamics of small perturbations of very inhomogeneous mixtures. Zbl 0821.76080
Bakhvalov, 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 0925.26013
Bakhvalov, N. S.; Èglit, M. È.
1
1994
Averaging of the equations of the dynamics of composites of slightly compressible elastic components. Zbl 0795.73050
Bakhvalov, N. S.; Èglit, M. È.
2
1993
On the optimization of numerical algorithms. Zbl 0766.65128
Bakhvalov, N. S.
13
1992
Iterative methods for solving equations with highly varying coefficients. Zbl 0766.65096
Bakhvalov, 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 0753.73009
Bakhvalov, N. S.; Knyazev, A. V.
1
1991
Variational properties of averaged equations for periodic media. Zbl 0780.73045
Bakhvalov, N. S.; Èglit, M. È.
26
1990
A new iterative algorithm for solving problems of the fictitious flow method for elliptic equations. Zbl 0733.35033
Bakhvalov, N. S.; Knyazev, A. V.
4
1990
Efficient computation of averaged characteristics of composites of a periodic structure of essentially different materials. Zbl 0746.73001
Bakhvalov, 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 0692.73012
Bakhvalov, N. S.; Panasenko, G.
286
1989
Interpolation theorems for classes of functions with dominating mixed derivative. Zbl 0679.46056
Bakhvalov, N. S.
1
1989
The averaging method for partial differential equations (homogenization) and its applications. Zbl 0907.35019
Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L.
1
1988
The averaging method for partial differential equation and its applications. Zbl 0657.35017
Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L.
1
1988
Numerical methods. Textbook. (Chislennye metody. Uchebnoe posobie). Zbl 0638.65001
Bakhvalov, N. S.; Zhidkov, N. P.; Kobel’kov, G. M.
56
1987
Averaging of processes in periodic media. Zbl 0658.73006
Bakhvalov, 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 0607.73009
Bakhvalov, 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 0596.65064
Lebedev, 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 0569.35067
Bakhvalov, N. S.; Èglit, M. È.
3
1983
Nonlinear theory of sound waves. (Nelinejnaya teoriya zvukovykh puchkov). Zbl 0632.76096
Bakhvalov, N. S.; Zhilejkin, Ya. M.; Zabolotskaya, E. A.
4
1982
Fast methods of solving Poisson’s equation. Zbl 0561.65075
Bakhvalov, N. S.; Orekhov, M. Yu.
4
1982
Averaging of the heat-transfer process in periodic media with radiation. Zbl 0496.35043
Bakhvalov, N. S.
2
1982
On fast methods for solving the Poisson equation. Zbl 0536.65081
Bakhvalov, N. S.; Orekhov, M. Yu.
1
1982
The averaging of the transfer equation for a periodic medium. Zbl 0461.35022
Bakhvalov, N. S.
1
1981
Coefficient stability of differential equations and averaging of equations with random coefficients. Zbl 0417.35078
Bakhvalov, N. S.; Zlotnik, A. A.
2
1978
Méthodes numériques. Analyse, algèbre, équations différentielles ordinaires. Traduit du russe par Irina Petrova. Zbl 0361.65003
Bakhvalov, N.
2
1976
Averaging of partial differential equations with rapidly oscillating coefficients. Zbl 0331.35009
Bakhvalov, N. S.
20
1975
Averaging of nonlinear partial differential equations with rapidly oscillating coefficients. Zbl 0344.35005
Bakhvalov, N. S.
6
1975
On the optimality of linear methods for operator approximation in convex classes of functions. Zbl 0254.41013
Bakhvalov, N. S.
42
1973
Optimization of methods of solving ordinary differential equations with strongly oscillatin g solutions. Zbl 0263.34042
Bakhvalov, N. S.
9
1973
Numerische Methoden. Analysis, Algebra, gewöhnliche Differentialgleichungen. (Cislennye metody. Analiz, algebra, obyknovennye differencial’nye uravnenija.) Lehrbuch. Zbl 0274.65002
Bakhvalov, N. S.
4
1973
A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative. Zbl 0255.41025
Bakhvalov, N. S.
2
1973
Global existence of the regular solution of a quasilinear hyperbolic system. Zbl 0243.35065
Bakhvalov, N. S.
7
1972
Properties of optimal methods for the solution of problems of mathematical physics. Zbl 0261.65062
Bakhvalov, N. S.
1
1972
The optimization of methods of solving boundary value problems with a boundary layer. Zbl 0228.65072
Bakhvalov, N. S.
48
1971
Über die Optimalität linearer Methoden zur Approximation von Operatoren auf konvexen Funktionenklassen. Zbl 0252.41024
Bakhvalov, 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 0204.41702
Bakhvalov, N. S.
9
1970
On the optimal speed of integrating analytic functions. Zbl 0207.16103
Bakhvalov, 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 0259.65084
Bakhvalov, N. S.
1
1970
Zur Optimierung von Methoden zur Lösung von Randwertaufgaben bei Vorhandensein der Grenzschicht. Zbl 0208.19103
Bakhvalov, N. S.
5
1969
Evaluation of the integrals of oscillating functions by interpolation at nodes of Gaussian quadratures. Zbl 0196.17502
Bakhvalov, 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 0219.65076
Bakhvalov, N. S.
1
1968
A lower bound for the randomness measure required in the use of the Monte-Carlo method. Zbl 0157.23402
Bakhvalov, N. S.
1
1967
On the convergence of a relaxation method under natural constraints on the elliptic operator. Zbl 0154.41002
Bakhvalov, 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 0223.65085
Bakhvalov, N. S.
1
1966
Über optimale Abschätzungen der Konvergenz von Quadraturprozessen und Integrationsmethoden vom Monte-Carlo-Typus auf Funktionenklassen. Zbl 0246.65011
Bakhvalov, N. S.
3
1964
On optimal methods of specifying information during the solution of differential equations. Zbl 0123.32401
Bakhvalov, N. S.
1
1962
An estimate of the mean remainder term in quadrature formulae. Zbl 0127.08603
Bakhvalov, N. S.
5
1961
Estimation of the error of numerical integration of a first-order quasilinear equation. Zbl 0135.17903
Bakhvalov, N. S.
1
1961
A method for an approximate solution of Laplace’s equation. Zbl 0098.09601
Bakhvalov, N. S.
2
1957
Zur Abschätzung des Fehlers bei der numerischen Integration von Differentialgleichungen nach der Extrapolationsmethode von Adams. Zbl 0065.10904
Bakhvalov, N. S.
1
1955
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

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