## Smyshlyaev, Valery P.

Compute Distance To:
 Author ID: smyshlyaev.valery-p Published as: Smyshlyaev, V. P.; Smyshlyaev, Valery P.
 Documents Indexed: 56 Publications since 1984 Co-Authors: 37 Co-Authors with 43 Joint Publications 1,293 Co-Co-Authors
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### Co-Authors

 12 single-authored 10 Babich, Vasiliĭ Mikhaĭlovich 8 Willis, John Raymond 6 Kamotskĭ, Il’ya Vladimirovich 4 Demen’tev, Daniel B. 4 Graham, Ivan G. 4 Samokish, Boris A. 3 Cherednichenko, Kirill D. 3 Fleck, Norman A. 3 Kostin, Ilya-Nikolaï 3 Panasenko, Grigory P. 3 Sabina, Federico J. 3 Spence, Euan A. 2 Abdessamad, Zouhair 2 Chandler-Wilde, Simon N. 2 Lyalinov, Mikhail Anatolievich 1 Amosov, Andreĭ Avenirovich 1 Babych, Natalia O. 1 Belishev, Mikhail Igorevitch 1 Bonner, B. D. 1 Borovikov, Vladimir A. 1 Dobrokhotov, Sergei Yurievich 1 Gibbs, Alison L. 1 Gridin, Dmitri 1 Hewett, David P. 1 Ibragimov, Il’dar Abdullovich 1 Kamotski, Vladimir V. 1 Kislyakov, Sergeĭ Vital’evich 1 Matiyasevich, Yuriĭ Vladimirovich 1 Matthies, Karsten 1 Nesi, Vincenzo 1 Ockendon, John R. 1 Palombaro, Mariapia 1 Romanov, Vladimir Gavrilovich 1 Suslina, Tat’yana Aleksandrovna 1 Ural’tseva, Nina Nikolaevna 1 Zhikov, Vasiliĭ Vasil’evich 1 Zhu, Ning Yan
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### Serials

 10 Journal of the Mechanics and Physics of Solids 7 Journal of Soviet Mathematics 4 Journal of Mathematical Sciences (New York) 4 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Wave Motion 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Soviet Physics. Doklady 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 St. Petersburg Mathematical Journal 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Networks and Heterogeneous Media
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### Fields

 34 Partial differential equations (35-XX) 22 Mechanics of deformable solids (74-XX) 17 Optics, electromagnetic theory (78-XX) 7 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 529 times in 378 Documents Cited by Year
On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. Zbl 0984.74065
Smyshlyaev, V. P.; Cherednichenko, K. D.
2000
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
2011
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Zbl 1169.76056
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
2007
The role of strain gradients in the grain size effect for polycrystals. Zbl 1054.74553
Smyshlyaev, V. P.; Fleck, N. A.
1996
Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Zbl 1101.74024
Cherednichenko, K. D.; Smyshlyaev, V. P.; Zhikov, V. V.
2006
On the relaxation of a three-well energy. Zbl 0960.74027
Smyshlyaev, V. P.; Willis, J. R.
1999
Diffraction by conical surfaces at high frequencies. Zbl 0721.73011
Smyshlyaev, V. P.
1990
On evaluation of the diffraction coefficients for arbitrary ”nonsingular” directions of a smooth convex cone. Zbl 0992.78016
Babich, Vassilii M.; Dement’ev, Daniel B.; Samokish, Boris A.; Smyshlyaev, Valery P.
2000
A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P.
2011
Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331
Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
2008
Coercivity of combined boundary integral equations in high-frequency scattering. Zbl 1342.35202
Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
2015
Self-consistent analysis of waves in a matrix-inclusion composite. I: Aligned spheroidal inclusions. Zbl 0799.73023
Sabina, F. J.; Smyshlyaev, V. P.; Willis, J. R.
1993
Improved bounds for the yield stress of a model polycrystalline material. Zbl 0963.74006
Nesi, V.; Smyshlyaev, V. P.; Willis, J. R.
2000
The high-frequency diffraction of electromagnetic waves by cones of arbitrary cross sections. Zbl 0778.35104
Smyshlyaev, Valery P.
1993
The computation of conical diffraction coefficients in high-frequency acoustic wave scattering. Zbl 1104.65115
Bonner, B. D.; Graham, I. G.; Smyshlyaev, V. P.
2005
Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. Zbl 1214.35067
Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P.
2010
Memory effect in homogenization of a viscoelastic Kelvin-Voigt model with time-dependent coefficients. Zbl 1398.74038
Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2009
Bounds and estimates for the overall plastic behaviour of composites with strain gradient effects. Zbl 0872.73035
Smyshlyaev, V. P.; Fleck, N. A.
1995
Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I: Asymptotics in the shadow zone. Zbl 0584.35019
Babich, V. M.; Smyshlyaev, V. P.
1986
Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks. Zbl 0789.73027
Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J.
1993
On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems. Zbl 1145.35368
Cherednichenko, Kirill D.; Smyshlyaev, Valery P.
2004
Exponential homogenization of linear second order elliptic PDEs with periodic coefficients. Zbl 1213.35062
Kamotski, Vladimir; Matthies, Karsten; Smyshlyaev, Valery P.
2007
A ‘non-local’ variational approach to the elastic energy minimization of martensitic polycrystals. Zbl 0932.74055
Smyshlyaev, V. P.; Willis, J. R.
1998
Bounds and estimates for linear composites with strain gradient effects. Zbl 0819.73046
Smyshlyaev, V. P.; Fleck, N. A.
1994
Self-consistent analysis of waves in a matrix-inclusion composite. II: Randomly oriented spheroidal inclusions. Zbl 0782.73022
Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J.
1993
Linear and nonlinear scattering of elastic waves by microcracks. Zbl 0817.73011
Smyshlyaev, V. P.; Willis, J. R.
1994
Relaxation of three solenoidal wells and characterization of extremal three-phase $$H$$-measures. Zbl 1176.49022
Palombaro, M.; Smyshlyaev, V. P.
2009
The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity. Zbl 0621.35076
Babich, V. M.; Smyshlyaev, V. P.
1987
Effective relations for nonlinear dynamics of cracked solids. Zbl 1054.74509
Smyshlyaev, V. P.; Willis, J. R.
1996
High-frequency asymptotic behavior of the Green’s function for the Helmholtz equation in a region with a conical boundary. Zbl 0724.35003
Smyshlyaev, V. P.
1989
Homogenization of thermo-viscoelastic Kelvin-Voigt model. Zbl 1133.35315
Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2007
Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients. Zbl 1418.35027
Kamotski, I. V.; Smyshlyaev, V. P.
2019
Localized modes due to defects in high contrast periodic media via two-scale homogenization. Zbl 1403.35036
Kamotski, I. V.; Smyshlyaev, V. P.
2018
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. Zbl 1431.35020
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P.
2020
Contour integral solutions of the parabolic wave equation. Zbl 07215311
Hewett, D. P.; Ockendon, J. R.; Smyshlyaev, V. P.
2019
On the scattering problem for the Schrödinger equation in case of a potential which is linear with respect to time and to the coordinate. II Correctness, smoothness, behaviour of the solution at infinity. Zbl 0606.35063
Babich, V. M.; Smyshlyaev, V. P.
1985
Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model. Zbl 1302.74135
Amosov, Andrey; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2013
Concentration of the solutions near a limit ray in the neighborhood of an inflection point of the boundary. Zbl 0725.35078
Smyshlyaev, V. P.
1991
On the scattering problem for the Schrödinger equation in the case of the potential which is linear with respect to time and the coordinate. I: Asymptotics in the shadow zone. Zbl 0557.35024
Babich, V. M.; Smyshlyaev, V. P.
1984
The method of quasi-homogeneous functions and the Fock problem. Zbl 0605.35015
Smyshlyaev, V. P.
1985
The scattering of short waves in a neighbourhood of a point of inflection of the boundary. Zbl 0605.35016
Smyshlyaev, V. P.
1985
Scattering of a high-frequency wave by the vertex of an arbitrary cone (singular directions). Zbl 1003.78006
Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P.
2000
On a scattering problem for the Schrödinger equation with a potential linear in both time and coordinate. Zbl 0653.35071
Babich, V. M.; Smyshlyaev, V. P.
1985
Scattering of high-frequency electromagnetic waves by the vertex of a perfectly conducting cone (singular directions). Zbl 1108.78007
Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P.
2002
Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials. Zbl 1474.74069
Kamotski, IIia V.; Smyshlyaev, Valery P.
2019
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. Zbl 1431.35020
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P.
2020
Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients. Zbl 1418.35027
Kamotski, I. V.; Smyshlyaev, V. P.
2019
Contour integral solutions of the parabolic wave equation. Zbl 07215311
Hewett, D. P.; Ockendon, J. R.; Smyshlyaev, V. P.
2019
Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials. Zbl 1474.74069
Kamotski, IIia V.; Smyshlyaev, Valery P.
2019
Localized modes due to defects in high contrast periodic media via two-scale homogenization. Zbl 1403.35036
Kamotski, I. V.; Smyshlyaev, V. P.
2018
Coercivity of combined boundary integral equations in high-frequency scattering. Zbl 1342.35202
Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
2015
Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model. Zbl 1302.74135
Amosov, Andrey; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2013
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
2011
A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P.
2011
Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. Zbl 1214.35067
Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P.
2010
Memory effect in homogenization of a viscoelastic Kelvin-Voigt model with time-dependent coefficients. Zbl 1398.74038
Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2009
Relaxation of three solenoidal wells and characterization of extremal three-phase $$H$$-measures. Zbl 1176.49022
Palombaro, M.; Smyshlyaev, V. P.
2009
Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331
Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
2008
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Zbl 1169.76056
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
2007
Exponential homogenization of linear second order elliptic PDEs with periodic coefficients. Zbl 1213.35062
Kamotski, Vladimir; Matthies, Karsten; Smyshlyaev, Valery P.
2007
Homogenization of thermo-viscoelastic Kelvin-Voigt model. Zbl 1133.35315
Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2007
Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Zbl 1101.74024
Cherednichenko, K. D.; Smyshlyaev, V. P.; Zhikov, V. V.
2006
The computation of conical diffraction coefficients in high-frequency acoustic wave scattering. Zbl 1104.65115
Bonner, B. D.; Graham, I. G.; Smyshlyaev, V. P.
2005
On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems. Zbl 1145.35368
Cherednichenko, Kirill D.; Smyshlyaev, Valery P.
2004
Scattering of high-frequency electromagnetic waves by the vertex of a perfectly conducting cone (singular directions). Zbl 1108.78007
Babich, V. M.; Dement&rsquo;ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P.
2002
On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. Zbl 0984.74065
Smyshlyaev, V. P.; Cherednichenko, K. D.
2000
On evaluation of the diffraction coefficients for arbitrary ”nonsingular” directions of a smooth convex cone. Zbl 0992.78016
Babich, Vassilii M.; Dement&rsquo;ev, Daniel B.; Samokish, Boris A.; Smyshlyaev, Valery P.
2000
Improved bounds for the yield stress of a model polycrystalline material. Zbl 0963.74006
Nesi, V.; Smyshlyaev, V. P.; Willis, J. R.
2000
Scattering of a high-frequency wave by the vertex of an arbitrary cone (singular directions). Zbl 1003.78006
Babich, V. M.; Dement&rsquo;ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P.
2000
On the relaxation of a three-well energy. Zbl 0960.74027
Smyshlyaev, V. P.; Willis, J. R.
1999
A ‘non-local’ variational approach to the elastic energy minimization of martensitic polycrystals. Zbl 0932.74055
Smyshlyaev, V. P.; Willis, J. R.
1998
The role of strain gradients in the grain size effect for polycrystals. Zbl 1054.74553
Smyshlyaev, V. P.; Fleck, N. A.
1996
Effective relations for nonlinear dynamics of cracked solids. Zbl 1054.74509
Smyshlyaev, V. P.; Willis, J. R.
1996
Bounds and estimates for the overall plastic behaviour of composites with strain gradient effects. Zbl 0872.73035
Smyshlyaev, V. P.; Fleck, N. A.
1995
Bounds and estimates for linear composites with strain gradient effects. Zbl 0819.73046
Smyshlyaev, V. P.; Fleck, N. A.
1994
Linear and nonlinear scattering of elastic waves by microcracks. Zbl 0817.73011
Smyshlyaev, V. P.; Willis, J. R.
1994
Self-consistent analysis of waves in a matrix-inclusion composite. I: Aligned spheroidal inclusions. Zbl 0799.73023
Sabina, F. J.; Smyshlyaev, V. P.; Willis, J. R.
1993
The high-frequency diffraction of electromagnetic waves by cones of arbitrary cross sections. Zbl 0778.35104
Smyshlyaev, Valery P.
1993
Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks. Zbl 0789.73027
Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J.
1993
Self-consistent analysis of waves in a matrix-inclusion composite. II: Randomly oriented spheroidal inclusions. Zbl 0782.73022
Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J.
1993
Concentration of the solutions near a limit ray in the neighborhood of an inflection point of the boundary. Zbl 0725.35078
Smyshlyaev, V. P.
1991
Diffraction by conical surfaces at high frequencies. Zbl 0721.73011
Smyshlyaev, V. P.
1990
High-frequency asymptotic behavior of the Green’s function for the Helmholtz equation in a region with a conical boundary. Zbl 0724.35003
Smyshlyaev, V. P.
1989
The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity. Zbl 0621.35076
Babich, V. M.; Smyshlyaev, V. P.
1987
Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I: Asymptotics in the shadow zone. Zbl 0584.35019
Babich, V. M.; Smyshlyaev, V. P.
1986
On the scattering problem for the Schrödinger equation in case of a potential which is linear with respect to time and to the coordinate. II Correctness, smoothness, behaviour of the solution at infinity. Zbl 0606.35063
Babich, V. M.; Smyshlyaev, V. P.
1985
The method of quasi-homogeneous functions and the Fock problem. Zbl 0605.35015
Smyshlyaev, V. P.
1985
The scattering of short waves in a neighbourhood of a point of inflection of the boundary. Zbl 0605.35016
Smyshlyaev, V. P.
1985
On a scattering problem for the Schrödinger equation with a potential linear in both time and coordinate. Zbl 0653.35071
Babich, V. M.; Smyshlyaev, V. P.
1985
On the scattering problem for the Schrödinger equation in the case of the potential which is linear with respect to time and the coordinate. I: Asymptotics in the shadow zone. Zbl 0557.35024
Babich, V. M.; Smyshlyaev, V. P.
1984
all top 5

### Cited by 526 Authors

 24 Smyshlyaev, Valery P. 14 Spence, Euan A. 12 Lyalinov, Mikhail Anatolievich 12 Xiang, Shuhuang 10 Cherednichenko, Kirill D. 10 Willis, John Raymond 9 Fleck, Norman A. 7 Chandler-Wilde, Simon N. 7 Ecevit, Fatih 7 Hewett, David P. 7 Huybrechs, Daan 7 Panasenko, Grigory P. 7 Ponte Castañeda, Pedro 6 Babich, Vasiliĭ Mikhaĭlovich 6 Boubendir, Yassine 6 Graham, Ivan G. 5 Bacigalupo, Andrea 5 He, Guo 5 Kamotskĭ, Il’ya Vladimirovich 5 Kang, Hongchao 5 Majidian, Hassan 5 Sabina, Federico J. 4 Cooper, Shane 4 Domínguez, Víctor 4 Ganesh, Mahadevan 4 Geers, Marc G. D. 4 Hackl, Klaus 4 Heinen, Rainer 4 Langdon, Stephen 4 Peigney, Michaël 4 Shanin, Andrey V. 4 Trevelyan, Jon 4 Xu, Zhenhua 3 Abdoul-Anziz, Houssam 3 Abrahams, I. David 3 Allaire, Grégoire 3 Anand, Akash 3 Andrianov, Igor V. 3 Bartel, Thorsten 3 Bhattacharya, Kaushik 3 Cherdantsev, Mikhail 3 Craster, Richard V. 3 Danishevskiĭ, Vladislav Valentinovich 3 De Bellis, Maria Laura 3 Demen’tev, Daniel B. 3 Gao, Huajian 3 Gao, Jing 3 Goldsztein, Guillermo H. 3 Govindjee, Sanjay 3 Huang, Yonggang Young 3 Hutchinson, John Woodside 3 Iserles, Arieh 3 Levin, Valery M. 3 Liu, Guidong 3 Moiola, Andrea 3 Neff, Patrizio 3 Reitich, Fernando 3 Sayas, Francisco-Javier 3 Schweizer, Ben 3 Shumilova, Vladlena Valerievna 3 Sili, Ali 3 Sun, Yi 3 Yang, Zhiqiang 2 Acharya, Amit 2 Adcock, Ben 2 Ameen, Muhsin M. 2 Asheim, Andreas 2 Assier, Raphaël C. 2 Bilbie, G. 2 Blume, Siegfried 2 Boughammoura, Ahmed 2 Brekelmans, W. A. M. 2 Briane, Marc 2 Bruno, Oscar P. 2 Coates, Graham 2 Conti, Sergio 2 d’Agostino, Marco Valerio 2 Duerinckx, Mitia 2 Eidel, Bernhard 2 Galkowski, Jeffrey 2 Gambarotta, Luigi 2 Ganghoffer, Jean-François 2 Gaudiello, Antonio 2 Gibbs, Alison L. 2 Guenneau, Sebastien R. L. 2 Guzina, Bojan B. 2 Hall, Garrett J. 2 Hansen, Anders C. 2 Hasegawa, Takemitsu 2 Hawkins, Stuart Collin 2 He, Zhelong 2 Hoang, Pham Van 2 Kaplunov, Julius D. 2 Kostin, Ilya-Nikolaï 2 Kouznetsova, Varvara G. 2 Kropinski, Mary Catherine A. 2 Lazergui, Souaad 2 Legarth, Brian Nyvang 2 Lipton, Robert P. 2 Liu, Yizhi ...and 426 more Authors
all top 5

### Cited in 106 Serials

 53 Journal of the Mechanics and Physics of Solids 24 Wave Motion 22 Computer Methods in Applied Mechanics and Engineering 16 Journal of Mathematical Sciences (New York) 16 European Journal of Mechanics. A. Solids 15 Numerische Mathematik 12 Journal of Computational and Applied Mathematics 9 SIAM Journal on Mathematical Analysis 7 Archive for Rational Mechanics and Analysis 7 BIT 6 International Journal of Engineering Science 6 Continuum Mechanics and Thermodynamics 5 Journal of Computational Physics 5 Applied Mathematics and Computation 5 Advances in Computational Mathematics 5 Mathematics and Mechanics of Solids 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Acta Mechanica 4 Journal of Mathematical Analysis and Applications 4 International Journal for Numerical Methods in Engineering 4 Journal of Soviet Mathematics 4 Journal of Scientific Computing 4 European Journal of Applied Mathematics 4 International Journal of Computer Mathematics 4 Journal of Elasticity 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Applicable Analysis 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Journal of Differential Equations 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Numerical Algorithms 3 Applied Mathematical Modelling 3 Archive of Applied Mechanics 3 Calculus of Variations and Partial Differential Equations 3 Waves in Random and Complex Media 2 Communications on Pure and Applied Mathematics 2 International Journal of Solids and Structures 2 Journal of Engineering Mathematics 2 Mathematics of Computation 2 Integral Equations and Operator Theory 2 Mathematika 2 Meccanica 2 Mechanics Research Communications 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Asymptotic Analysis 2 Journal of Integral Equations and Applications 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Russian Journal of Mathematical Physics 2 St. Petersburg Mathematical Journal 2 Computational and Applied Mathematics 2 Multiscale Modeling & Simulation 2 Networks and Heterogeneous Media 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal of Plasticity 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Applied Mathematics and Mechanics 1 Journal of Statistical Physics 1 Mathematical Notes 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of Complexity 1 Computational Mechanics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Review 1 Applied and Computational Harmonic Analysis 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Integral Transforms and Special Functions 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Evolution Equations 1 Quantitative Finance 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Computational Acoustics 1 International Journal of Fracture 1 Science in China. Series G 1 GAMM-Mitteilungen 1 Journal of Applied Physics 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 S$$\vec{\text{e}}$$MA Journal ...and 6 more Serials
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### Cited in 35 Fields

 192 Mechanics of deformable solids (74-XX) 136 Partial differential equations (35-XX) 99 Numerical analysis (65-XX) 49 Optics, electromagnetic theory (78-XX) 39 Fluid mechanics (76-XX) 22 Approximations and expansions (41-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Integral equations (45-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Special functions (33-XX) 7 Integral transforms, operational calculus (44-XX) 7 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)