Applied Mathematical Sciences Short Title: Appl. Math. Sci. Publisher: Springer, Cham ISSN: 0066-5452; 2196-968X/e Online: https://rd.springer.com/bookseries/34 Comments: Book series; Indexed cover-to-cover Documents Indexed: 266 Publications (since 1971) all top 5 Latest Volumes 209 (2021) 208 (2022) 207 (2021) 206 (2021) 205 (2021) 204 (2020) 203 (2021) 202 (2018) 201 (2018) 200 (2018) 199 (2018) 198 (2018) 197 (2017) 196 (2017) 195 (2016) 194 (2016) 193 (2015) 192 (2015) 191 (2015) 190 (2015) 189 (2014) 188 (2014) 187 (2013) 186 (2013) 185 (2013) 184 (2013) 183 (2013) 182 (2013) 181 (2012) 180 (2012) 179 (2012) 178 (2011) 177 (2011) 176 (2012) 175 (2011/2022) 174 (2011) 173 (2011) 172 (2011) 171 (2010/2019) 170 (2010) 169 (2009) 168 (2010) 167 (2009) 166 (2009) 164 (2008/2021) 163 (2008) 162 (2007) 161 (2007) 160 (2005) 159 (2004) 158 (2004/2010) 157 (2004) 156 (2004/2012) 155 (2003) 154 (2002) 153 (2003) 152 (2002-2015) 151 (2002) 150 (2002) 149 (2002-2019) 148 (2002) 147 (2002/2006) 146 (2002) 145 (2001) 144 (2001) 143 (2002) 142 (2001) 141 (2000/2011) 140 (2000) 139 (1999) 138 (1999) 137 (2000) 136 (1999) 135 (1998) 134 (1999) 133 (1999) 132 (1998) 131 (1998) 130 (1998) 129 (1998) 128 (1997) 127 (1998-2017) 126 (1997) 125 (1998/2021) 124 (1993/1997) 123 (1997) 122 (1992/1997) 121 (1996) 120 (1996-2021) 119 (1996) 118 (1996/2021) 117 (1996/2011) 116 (1996/2011) 115 (1996/2011) 114 (1996) 113 (1996) 112 (1995-2004) 111 (1994) 110 (1995) 109 (1995) ...and 140 more Volumes all top 5 Authors / Editors 7 Kress, Rainer 6 Taylor, Michael Eugene 5 Colton, David Lem 5 Grenander, Ulf 5 Hale, Jack Kenneth 4 Bluman, George W. 4 Hoppensteadt, Frank C. 4 John, Fritz 4 Kirsch, Andreas 4 Naber, Gregory L. 4 Schuss, Zeev 4 Temam, Roger Meyer 3 Braun, Martin 3 de Boor, Carl 3 Friedrichs, Kurt Otto 3 Holden, Helge 3 Ikeda, Kiyohiro 3 Isakov, Victor M. 3 Kuznetsov, Yuri Alexandrovich 3 Meyer, Kenneth R. 3 Murota, Kazuo 3 Risebro, Nils Henrik 3 Sell, George Roger 3 Straughan, Brian 3 Wiggins, Stephen 2 Anco, Stephen C. 2 Antman, Stuart S. 2 Arnol’d, Vladimir Igorevich 2 Aubert, Gilles 2 Böhle, Martin 2 Cercignani, Carlo 2 Collatz, Lothar 2 Dacorogna, Bernard 2 Etling, Dieter 2 Faugeras, Olivier D. 2 Freiberger, Walter F. 2 Ghil, Michael 2 Godlewski, Edwige 2 Golubitsky, Martin A. 2 Guckenheimer, John M. 2 Hackbusch, Wolfgang 2 Hall, Glen Richard 2 Hsiao, George C. 2 Khesin, Boris A. 2 Kielhöfer, Hansjörg 2 Kornprobst, Pierre 2 Lichtenberg, Allan J. 2 Lieberman, Michael A. 2 Magalhães, Luis T. 2 Marsden, Jerrold Eldon 2 Martí, Rafael 2 Naylor, Arch W. 2 Nusse, Helena Engelina 2 Oertel, Herbert jun. 2 Oliva, Waldyr Muniz 2 Pulvirenti, Mario 2 Raviart, Pierre-Arnaud 2 Reinelt, Gerhard 2 Riedel, Uwe 2 Rybakowski, Krzysztof P. 2 Sanders, Jan A. 2 Schaeffer, David G. 2 Sreenivasan, K. R. S. 2 Verduyn Lunel, Sjoerd M. 2 Verhulst, Ferdinand 2 Warnatz, Jürgen 2 Weder, Ricardo A. 2 Wendland, Wolfgang L. 2 Wetterling, Wolfgang 2 Wilcox, Calvin H. 2 Wu, Jianhong 2 Yorke, James Alan 2 Younes, Laurent 2 Zeidler, Eberhard 1 Abraham, Ralph Herman 1 Aktosun, Tuncay 1 Aldous, David John 1 Allaire, Grégoire 1 Amari, Shun-ichi 1 Ammari, Habib M. 1 Armbruster, Dieter 1 Assous, Franck 1 Bebernes, Jerrold W. 1 Bengtsson, Lennart 1 Bensoussan, Alain 1 Berkovitz, Leonard David 1 Biggerstaff, Ted J. 1 Bochev, Pavel B. 1 Bogaevskiĭ, V. N. 1 Boyer, Franck 1 Broer, Henk W. 1 Brokate, Martin 1 Budd, Christopher John 1 Cakoni, Fioralba 1 Canadell, Marta 1 Carr, Jack 1 Catlin, Donald E. 1 Chalmond, Bernard 1 Champneys, Alan R. 1 Cherkaev, Andrej V. ...and 231 more Authors all top 5 Fields 96 Partial differential equations (35-XX) 64 Ordinary differential equations (34-XX) 51 Dynamical systems and ergodic theory (37-XX) 51 Fluid mechanics (76-XX) 47 Numerical analysis (65-XX) 31 Global analysis, analysis on manifolds (58-XX) 27 Mechanics of deformable solids (74-XX) 22 Operator theory (47-XX) 19 Probability theory and stochastic processes (60-XX) 18 Computer science (68-XX) 18 Mechanics of particles and systems (70-XX) 18 Optics, electromagnetic theory (78-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Systems theory; control (93-XX) 14 Integral equations (45-XX) 11 Quantum theory (81-XX) 11 Biology and other natural sciences (92-XX) 10 Functional analysis (46-XX) 10 Differential geometry (53-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Approximations and expansions (41-XX) 9 Operations research, mathematical programming (90-XX) 7 General and overarching topics; collections (00-XX) 7 Statistics (62-XX) 6 Topological groups, Lie groups (22-XX) 6 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Information and communication theory, circuits (94-XX) 4 Integral transforms, operational calculus (44-XX) 4 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 249 Publications have been cited 52,591 times in 45,473 Documents Cited by ▼ Year ▼ Semigroups of linear operators and applications to partial differential equations. 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D. 361 1981 Singularities and groups in bifurcation theory. Volume I. Zbl 0607.35004Golubitsky, Martin; Schaeffer, David G. 360 1985 Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto 359 1995 Elements of applied bifurcation theory. Zbl 0829.58029Kuznetsov, Yuri A. 357 1995 Symmetry and integration methods for differential equations. Zbl 1013.34004Bluman, George W.; Anco, Stephen C. 328 2002 Shape optimization by the homogenization method. Zbl 0990.35001Allaire, Grégoire 324 2002 Linear multivariable systems. Zbl 0291.93002Wolovich, W. A. 314 1974 Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001Dacorogna, Bernard 313 2008 Inverse problems for partial differential equations. 2nd ed. Zbl 1092.35001Isakov, Victor 304 2006 Hysteresis and phase transitions. Zbl 0951.74002Brokate, Martin; Sprekels, Jürgen 298 1996 Similarity methods for differential equations. 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A. 273 1992 Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075Godlewski, Edwige; Raviart, Pierre-Arnaud 272 1996 Mathematical problems from combustion theory. Zbl 0692.35001Bebernes, Jerrold; Eberly, David 266 1989 Finite element analysis of acoustic scattering. Zbl 0908.65091Ihlenburg, Frank 260 1998 Mathematical theory of incompressible nonviscous fluids. Zbl 0789.76002Marchioro, Carlo; Pulvirenti, Mario 254 1994 Functional differential equations. Zbl 0222.34003Hale, J. 253 1971 Applications of symmetry methods to partial differential equations. Zbl 1223.35001Bluman, George W.; Cheviakov, Alexei; Anco, Stephen 252 2010 Optimization. Algorithms and consistent approximations. Zbl 0899.90148Polak, Elijah 247 1997 Differential models of hysteresis. Zbl 0820.35004Visintin, Augusto 246 1994 Stability theory and the existence of periodic solutions and almost periodic solutions. Zbl 0304.34051Yoshizawa, Taro 244 1975 Acoustic and electromagnetic equations. Integral representations for harmonic problems. Zbl 0981.35002Nédélec, Jean-Claude 243 2001 An introduction to the mathematical theory of inverse problems. Zbl 0865.35004Kirsch, Andreas 231 1996 Solution of variational inequalities in mechanics. Zbl 0654.73019Hlaváček, I.; Haslinger, J.; Nečas, J.; Lovíšek, J. 228 1988 Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras. 2nd ed. Zbl 1110.35001Aubert, Gilles; Kornprobst, Pierre 217 2006 Multiple time scale dynamics. Zbl 1335.34001Kuehn, Christian 207 2015 Multiple scale and singular perturbation methods. Zbl 0846.34001Kevorkian, Jirair K.; Cole, J. D. 207 1996 Boundary integral equations. Zbl 1157.65066Hsiao, George C.; Wendland, Wolfgang L. 206 2008 Attractors for infinite-dimensional non-autonomous dynamical systems. Zbl 1263.37002Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 202 2013 Polarization and moment tensors. With applications to inverse problems and effective medium theory. Zbl 1220.35001Ammari, Habib; Kang, Hyeonbae 195 2007 Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. 194 1989 Mathematical tools for the study of the incompressible Navier-Stokes equations and related models. Zbl 1286.76005Boyer, Franck; Fabrie, Pierre 192 2013 Linear integral equations. Zbl 0671.45001Kress, Rainer 190 1989 Markov chain models - rarity and exponentiality. Zbl 0411.60068Keilson, Julian 189 1979 Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002Hislop, P. D.; Sigal, I. M. 188 1996 Nonlinear problems of elasticity. 2nd, revised and extended ed. Zbl 1098.74001Antman, Stuart S. 185 2005 Spectral methods for incompressible viscous flow. Zbl 1005.76001Peyret, Roger 184 2002 Stochastic approximation methods for constrained and unconstrained systems. Zbl 0381.60004Kushner, Harold J.; Clark, Dean S. 179 1978 Elliptic functions and applications. Zbl 0689.33001Lawden, Derek F. 173 1989 Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York. Zbl 0365.76001Courant, R.; Friedrichs, K. O. 163 1976 Configuration forces as basic concepts of continuum physics. Zbl 0951.74003Gurtin, Morton E. 162 2000 Singular perturbation methods for ordinary differential equations. Zbl 0743.34059O’Malley, Robert E. jun. 161 1991 Introduction to Hamiltonian dynamical systems and the \(N\)-body problem. Zbl 0743.70006Meyer, Kenneth R.; Hall, Glen R. 161 1992 Linear integral equations. 2nd ed. Zbl 0920.45001Kress, Rainer 160 1999 The \(N\)-vortex problem. Analytical techniques. Zbl 0981.76002Newton, Paul K. 160 2001 Fluid dynamics of viscoelastic liquids. Zbl 0698.76002Joseph, Daniel D. 159 1990 An introduction to the mathematical theory of inverse problems. 2nd ed. Zbl 1213.35004Kirsch, Andreas 156 2011 The energy method, stability, and nonlinear convection. 2nd rev. ed. Zbl 1032.76001Straughan, Brian 149 2004 Variational methods in imaging. Zbl 1177.68245Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank 149 2009 Box splines. Zbl 0814.41012De Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman 145 1993 Spectral and dynamical stability of nonlinear waves. Zbl 1297.37001Kapitula, Todd; Promislow, Keith 143 2013 Least-squares finite element methods. Zbl 1168.65067Bochev, Pavel B.; Gunzburger, Max D. 139 2009 Homogenization of reticulated structures. Zbl 0929.35002Cioranescu, Doina; Saint Jean Paulin, Jeannine 138 1999 Introduction to Hamiltonian dynamical systems and the \(N\)-body problem. 2nd ed. Zbl 1179.70002Meyer, Kenneth R.; Hall, Glen R.; Offın, Dan 137 2009 Partial differential equations. I: Basic theory. 2nd ed. Zbl 1206.35002Taylor, Michael E. 136 2011 Partial differential equations. 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Zbl 0920.45001Kress, Rainer 160 1999 ...and 149 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 41,968 Authors 171 Llibre, Jaume 76 Guo, Boling 75 Zhou, Shengfan 71 Miranville, Alain M. 69 Ammari, Habib M. 66 Valls Anglés, Cláudia 65 Liu, Hongyu 64 Caraballo Garrido, Tomás 63 Ezzinbi, Khalil 63 Titi, Edriss Saleh 62 Li, Jibin 59 Pata, Vittorino 58 Xu, Gen-Qi 57 Guo, Shangjiang 57 Park, Juhyun (Jessie) 56 Yamamoto, Masahiro 54 Han, Maoan 54 Nazarov, Sergeĭ Aleksandrovich 54 Zhang, Weinian 53 Lasiecka, Irena 53 Wei, Junjie 52 Duan, Jinqiao 52 Temam, Roger Meyer 50 Fu, Xianlong 50 Wu, Jianhong 49 Barreira, Luis Manuel 49 Chen, Guanrong 49 Holmes, Philip J. 49 Nolasco de Carvalho, Alexandre 48 Kühn, Christian 48 Zelik, Sergey V. 47 Langa, Jose’ Antonio 47 Li, Yongxiang 47 Tang, Xianhua 46 Khalique, Chaudry Masood 46 Papageorgiou, Nikolaos S. 46 Pedregal, Pablo 45 Kloeden, Peter Eris 45 Wang, Bixiang 45 Yu, Pei 44 Fečkan, Michal 44 Sofonea, Mircea 43 Gardini, Laura 42 Kang, Hyeonbae 42 Zhong, Chengkui 41 Elaiw, Ahmed M. 41 Triggiani, Roberto 40 Balachandran, Krishnan 40 Benchohra, Mouffak 40 Flandoli, Franco 40 Henríquez, Hernán R. 40 Huang, Lihong 39 Băleanu, Dumitru I. 39 Guo, Bao-Zhu 39 Kunisch, Karl 39 O’Regan, Donal 39 Sun, Chunyou 39 Vidal, Claudio 38 Jiang, Weihua 38 Krejčí, Pavel 37 Chen, Pengyu 37 Hu, Guanghui 37 Lu, Kening 37 Ruan, Shigui 37 Yuan, Rong 37 Zhang, Wei 36 Jing, Zhujun 36 Klibanov, Michael V. 36 Kress, Rainer 36 Xu, Rui 35 Agarwal, Ravi P. 35 Chueshov, Igor’ Dmitrievich 35 Han, Weimin 35 He, Yinnian 35 Liang, Jin 35 Liu, Zhenhai 35 Song, Yongli 35 Zumbrun, Kevin R. 34 Chepyzhov, Vladimir V. 34 Fridman, Emilia 34 Hernández, Eduardo M. 34 Kara, Abdul Hamid 34 Tian, Shoufu 34 Wang, Junmin 33 de la Llave, Rafael 33 Gao, Hongjun 33 Haller, George 33 Krauskopf, Bernd 33 Liu, Jijun 33 Liu, Xia 33 Nguyen Thieu Huy 33 Robinson, James Cooper 33 Rodríguez-Luis, Alejandro J. 33 Straughan, Brian 33 Tachim Medjo, Theodore 33 Valero, José 33 Wiggins, Stephen 33 Zhao, Caidi 33 Zhao, Xiao-Qiang 32 Balasubramaniam, Pagavathigounder ...and 41,868 more Authors all top 5 Cited in 1,122 Journals 1,648 Journal of Mathematical Analysis and Applications 1,493 Journal of Differential Equations 1,117 Physica D 977 Applied Mathematics and Computation 805 Journal of Computational Physics 775 Nonlinear Analysis. 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