Edit Profile (opens in new tab) Smyshlyaev, Valery P. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0984.74065Smyshlyaev, V. P.; Cherednichenko, K. D. 60 2000 Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P. 48 2011 A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Zbl 1169.76056Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P. 44 2007 The role of strain gradients in the grain size effect for polycrystals. Zbl 1054.74553Smyshlyaev, V. P.; Fleck, N. A. 39 1996 Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Zbl 1101.74024Cherednichenko, K. D.; Smyshlyaev, V. P.; Zhikov, V. V. 34 2006 On the relaxation of a three-well energy. Zbl 0960.74027Smyshlyaev, V. P.; Willis, J. R. 27 1999 Diffraction by conical surfaces at high frequencies. Zbl 0721.73011Smyshlyaev, V. P. 23 1990 On evaluation of the diffraction coefficients for arbitrary ”nonsingular” directions of a smooth convex cone. Zbl 0992.78016Babich, Vassilii M.; Dement’ev, Daniel B.; Samokish, Boris A.; Smyshlyaev, Valery P. 22 2000 A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P. 20 2011 Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P. 17 2008 Coercivity of combined boundary integral equations in high-frequency scattering. Zbl 1342.35202Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P. 16 2015 Self-consistent analysis of waves in a matrix-inclusion composite. I: Aligned spheroidal inclusions. Zbl 0799.73023Sabina, F. J.; Smyshlyaev, V. P.; Willis, J. R. 13 1993 Improved bounds for the yield stress of a model polycrystalline material. Zbl 0963.74006Nesi, V.; Smyshlyaev, V. P.; Willis, J. R. 10 2000 The high-frequency diffraction of electromagnetic waves by cones of arbitrary cross sections. Zbl 0778.35104Smyshlyaev, Valery P. 10 1993 The computation of conical diffraction coefficients in high-frequency acoustic wave scattering. Zbl 1104.65115Bonner, B. D.; Graham, I. G.; Smyshlyaev, V. P. 10 2005 Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. Zbl 1214.35067Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P. 10 2010 Memory effect in homogenization of a viscoelastic Kelvin-Voigt model with time-dependent coefficients. Zbl 1398.74038Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P. 9 2009 Bounds and estimates for the overall plastic behaviour of composites with strain gradient effects. Zbl 0872.73035Smyshlyaev, V. P.; Fleck, N. A. 8 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 0584.35019Babich, V. M.; Smyshlyaev, V. P. 8 1986 Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks. Zbl 0789.73027Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J. 8 1993 On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems. Zbl 1145.35368Cherednichenko, Kirill D.; Smyshlyaev, Valery P. 8 2004 Exponential homogenization of linear second order elliptic PDEs with periodic coefficients. Zbl 1213.35062Kamotski, Vladimir; Matthies, Karsten; Smyshlyaev, Valery P. 7 2007 A ‘non-local’ variational approach to the elastic energy minimization of martensitic polycrystals. Zbl 0932.74055Smyshlyaev, V. P.; Willis, J. R. 7 1998 Bounds and estimates for linear composites with strain gradient effects. Zbl 0819.73046Smyshlyaev, V. P.; Fleck, N. A. 7 1994 Self-consistent analysis of waves in a matrix-inclusion composite. II: Randomly oriented spheroidal inclusions. Zbl 0782.73022Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J. 6 1993 Linear and nonlinear scattering of elastic waves by microcracks. Zbl 0817.73011Smyshlyaev, V. P.; Willis, J. R. 6 1994 Relaxation of three solenoidal wells and characterization of extremal three-phase \(H\)-measures. Zbl 1176.49022Palombaro, M.; Smyshlyaev, V. P. 5 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 0621.35076Babich, V. M.; Smyshlyaev, V. P. 5 1987 Effective relations for nonlinear dynamics of cracked solids. Zbl 1054.74509Smyshlyaev, V. P.; Willis, J. R. 5 1996 High-frequency asymptotic behavior of the Green’s function for the Helmholtz equation in a region with a conical boundary. Zbl 0724.35003Smyshlyaev, V. P. 5 1989 Homogenization of thermo-viscoelastic Kelvin-Voigt model. Zbl 1133.35315Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P. 4 2007 Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients. Zbl 1418.35027Kamotski, I. V.; Smyshlyaev, V. P. 4 2019 Localized modes due to defects in high contrast periodic media via two-scale homogenization. Zbl 1403.35036Kamotski, I. V.; Smyshlyaev, V. P. 4 2018 High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. Zbl 1431.35020Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P. 4 2020 Contour integral solutions of the parabolic wave equation. Zbl 07215311Hewett, D. P.; Ockendon, J. R.; Smyshlyaev, V. P. 3 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 0606.35063Babich, V. M.; Smyshlyaev, V. P. 2 1985 Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model. Zbl 1302.74135Amosov, Andrey; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P. 2 2013 Concentration of the solutions near a limit ray in the neighborhood of an inflection point of the boundary. Zbl 0725.35078Smyshlyaev, V. P. 2 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 0557.35024Babich, V. M.; Smyshlyaev, V. P. 1 1984 The method of quasi-homogeneous functions and the Fock problem. Zbl 0605.35015Smyshlyaev, V. P. 1 1985 The scattering of short waves in a neighbourhood of a point of inflection of the boundary. Zbl 0605.35016Smyshlyaev, V. P. 1 1985 Scattering of a high-frequency wave by the vertex of an arbitrary cone (singular directions). Zbl 1003.78006Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P. 1 2000 On a scattering problem for the Schrödinger equation with a potential linear in both time and coordinate. Zbl 0653.35071Babich, V. M.; Smyshlyaev, V. P. 1 1985 Scattering of high-frequency electromagnetic waves by the vertex of a perfectly conducting cone (singular directions). Zbl 1108.78007Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P. 1 2002 Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials. Zbl 1474.74069Kamotski, IIia V.; Smyshlyaev, Valery P. 1 2019 High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. Zbl 1431.35020Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P. 4 2020 Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients. Zbl 1418.35027Kamotski, I. V.; Smyshlyaev, V. P. 4 2019 Contour integral solutions of the parabolic wave equation. Zbl 07215311Hewett, D. P.; Ockendon, J. R.; Smyshlyaev, V. P. 3 2019 Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials. Zbl 1474.74069Kamotski, IIia V.; Smyshlyaev, Valery P. 1 2019 Localized modes due to defects in high contrast periodic media via two-scale homogenization. Zbl 1403.35036Kamotski, I. V.; Smyshlyaev, V. P. 4 2018 Coercivity of combined boundary integral equations in high-frequency scattering. Zbl 1342.35202Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P. 16 2015 Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model. Zbl 1302.74135Amosov, Andrey; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P. 2 2013 Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P. 48 2011 A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P. 20 2011 Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. Zbl 1214.35067Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P. 10 2010 Memory effect in homogenization of a viscoelastic Kelvin-Voigt model with time-dependent coefficients. Zbl 1398.74038Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P. 9 2009 Relaxation of three solenoidal wells and characterization of extremal three-phase \(H\)-measures. Zbl 1176.49022Palombaro, M.; Smyshlyaev, V. P. 5 2009 Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P. 17 2008 A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Zbl 1169.76056Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P. 44 2007 Exponential homogenization of linear second order elliptic PDEs with periodic coefficients. Zbl 1213.35062Kamotski, Vladimir; Matthies, Karsten; Smyshlyaev, Valery P. 7 2007 Homogenization of thermo-viscoelastic Kelvin-Voigt model. Zbl 1133.35315Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P. 4 2007 Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Zbl 1101.74024Cherednichenko, K. D.; Smyshlyaev, V. P.; Zhikov, V. V. 34 2006 The computation of conical diffraction coefficients in high-frequency acoustic wave scattering. Zbl 1104.65115Bonner, B. D.; Graham, I. G.; Smyshlyaev, V. P. 10 2005 On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems. Zbl 1145.35368Cherednichenko, Kirill D.; Smyshlyaev, Valery P. 8 2004 Scattering of high-frequency electromagnetic waves by the vertex of a perfectly conducting cone (singular directions). Zbl 1108.78007Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P. 1 2002 On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. Zbl 0984.74065Smyshlyaev, V. P.; Cherednichenko, K. D. 60 2000 On evaluation of the diffraction coefficients for arbitrary ”nonsingular” directions of a smooth convex cone. Zbl 0992.78016Babich, Vassilii M.; Dement’ev, Daniel B.; Samokish, Boris A.; Smyshlyaev, Valery P. 22 2000 Improved bounds for the yield stress of a model polycrystalline material. Zbl 0963.74006Nesi, V.; Smyshlyaev, V. P.; Willis, J. R. 10 2000 Scattering of a high-frequency wave by the vertex of an arbitrary cone (singular directions). Zbl 1003.78006Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P. 1 2000 On the relaxation of a three-well energy. Zbl 0960.74027Smyshlyaev, V. P.; Willis, J. R. 27 1999 A ‘non-local’ variational approach to the elastic energy minimization of martensitic polycrystals. Zbl 0932.74055Smyshlyaev, V. P.; Willis, J. R. 7 1998 The role of strain gradients in the grain size effect for polycrystals. Zbl 1054.74553Smyshlyaev, V. P.; Fleck, N. A. 39 1996 Effective relations for nonlinear dynamics of cracked solids. Zbl 1054.74509Smyshlyaev, V. P.; Willis, J. R. 5 1996 Bounds and estimates for the overall plastic behaviour of composites with strain gradient effects. Zbl 0872.73035Smyshlyaev, V. P.; Fleck, N. A. 8 1995 Bounds and estimates for linear composites with strain gradient effects. Zbl 0819.73046Smyshlyaev, V. P.; Fleck, N. A. 7 1994 Linear and nonlinear scattering of elastic waves by microcracks. Zbl 0817.73011Smyshlyaev, V. P.; Willis, J. R. 6 1994 Self-consistent analysis of waves in a matrix-inclusion composite. I: Aligned spheroidal inclusions. Zbl 0799.73023Sabina, F. J.; Smyshlyaev, V. P.; Willis, J. R. 13 1993 The high-frequency diffraction of electromagnetic waves by cones of arbitrary cross sections. Zbl 0778.35104Smyshlyaev, Valery P. 10 1993 Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks. Zbl 0789.73027Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J. 8 1993 Self-consistent analysis of waves in a matrix-inclusion composite. II: Randomly oriented spheroidal inclusions. Zbl 0782.73022Smyshlyaev, V. P.; Willis, J. R.; Sabina, F. J. 6 1993 Concentration of the solutions near a limit ray in the neighborhood of an inflection point of the boundary. Zbl 0725.35078Smyshlyaev, V. P. 2 1991 Diffraction by conical surfaces at high frequencies. Zbl 0721.73011Smyshlyaev, V. P. 23 1990 High-frequency asymptotic behavior of the Green’s function for the Helmholtz equation in a region with a conical boundary. Zbl 0724.35003Smyshlyaev, V. P. 5 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 0621.35076Babich, V. M.; Smyshlyaev, V. P. 5 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 0584.35019Babich, V. M.; Smyshlyaev, V. P. 8 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 0606.35063Babich, V. M.; Smyshlyaev, V. P. 2 1985 The method of quasi-homogeneous functions and the Fock problem. Zbl 0605.35015Smyshlyaev, V. P. 1 1985 The scattering of short waves in a neighbourhood of a point of inflection of the boundary. Zbl 0605.35016Smyshlyaev, V. P. 1 1985 On a scattering problem for the Schrödinger equation with a potential linear in both time and coordinate. Zbl 0653.35071Babich, V. M.; Smyshlyaev, V. P. 1 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 0557.35024Babich, V. M.; Smyshlyaev, V. P. 1 1984 all cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year