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: 268 Publications (since 1971) all top 5 Latest Volumes 211 (2022) 210 (2022) 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) ...and 142 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 Sirovich, Lawrence 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. ...and 235 more Authors all top 5 Fields 96 Partial differential equations (35-XX) 64 Ordinary differential equations (34-XX) 52 Dynamical systems and ergodic theory (37-XX) 52 Fluid mechanics (76-XX) 47 Numerical analysis (65-XX) 31 Global analysis, analysis on manifolds (58-XX) 28 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 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 4 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-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 251 Publications have been cited 55,490 times in 47,888 Documents Cited by ▼ Year ▼ Semigroups of linear operators and applications to partial differential equations. 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Zbl 0691.58003Golubitsky, Martin; Stewart, Ian; Schaeffer, David G. 463 1988 Theory and applications of partial functional differential equations. Zbl 0870.35116Wu, Jianhong 438 1996 The Lorenz equations: bifurcations, chaos, and strange attractors. Zbl 0504.58001Sparrow, Colin 433 1982 Stability theory by Liapunov’s direct method. Zbl 0364.34022Rouche, N.; Habets, P.; Laloy, M. 408 1977 Regular and stochastic motion. Zbl 0506.70016Lichtenberg, A. J.; Lieberman, M. A. 406 1983 Statistical and computational inverse problems. Zbl 1068.65022Kaipio, Jari; Somersalo, Erkki 399 2005 Global bifurcations and chaos. Analytical methods. Zbl 0661.58001Wiggins, Stephen 397 1988 Topological methods in hydrodynamics. Zbl 0902.76001Arnold, V. I.; Khesin, B. A. 389 1998 Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121Colton, David; Kress, Rainer 383 2013 Singularities and groups in bifurcation theory. Volume I. Zbl 0607.35004Golubitsky, Martin; Schaeffer, David G. 378 1985 Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto 377 1995 Perturbation methods in applied mathematics. Zbl 0456.34001Kevorkian, J.; Cole, J. D. 367 1981 Elements of applied bifurcation theory. Zbl 0829.58029Kuznetsov, Yuri A. 366 1995 Symmetry and integration methods for differential equations. Zbl 1013.34004Bluman, George W.; Anco, Stephen C. 346 2002 Shape optimization by the homogenization method. Zbl 0990.35001Allaire, Grégoire 340 2002 Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001Dacorogna, Bernard 338 2008 Linear multivariable systems. Zbl 0291.93002Wolovich, W. A. 330 1974 Inverse problems for partial differential equations. 2nd ed. Zbl 1092.35001Isakov, Victor 321 2006 Averaging methods in nonlinear dynamical systems. Zbl 0586.34040Sanders, J. 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A. 290 1992 Inverse problems for partial differential equations. Zbl 0908.35134Isakov, Victor 284 1998 Numerical approximation of hyperbolic systems of conservation laws. Zbl 0860.65075Godlewski, Edwige; Raviart, Pierre-Arnaud 283 1996 Mathematical problems from combustion theory. Zbl 0692.35001Bebernes, Jerrold; Eberly, David 279 1989 Mathematical theory of incompressible nonviscous fluids. Zbl 0789.76002Marchioro, Carlo; Pulvirenti, Mario 276 1994 Applications of symmetry methods to partial differential equations. Zbl 1223.35001Bluman, George W.; Cheviakov, Alexei; Anco, Stephen 272 2010 Finite element analysis of acoustic scattering. Zbl 0908.65091Ihlenburg, Frank 266 1998 Functional differential equations. Zbl 0222.34003Hale, J. 264 1971 Acoustic and electromagnetic equations. Integral representations for harmonic problems. Zbl 0981.35002Nédélec, Jean-Claude 263 2001 Differential models of hysteresis. Zbl 0820.35004Visintin, Augusto 253 1994 Optimization. Algorithms and consistent approximations. Zbl 0899.90148Polak, Elijah 251 1997 Stability theory and the existence of periodic solutions and almost periodic solutions. Zbl 0304.34051Yoshizawa, Taro 249 1975 An introduction to the mathematical theory of inverse problems. Zbl 0865.35004Kirsch, Andreas 237 1996 Solution of variational inequalities in mechanics. Zbl 0654.73019Hlaváček, I.; Haslinger, J.; Nečas, J.; Lovíšek, J. 234 1988 Multiple time scale dynamics. Zbl 1335.34001Kuehn, Christian 232 2015 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 225 2006 Attractors for infinite-dimensional non-autonomous dynamical systems. Zbl 1263.37002Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 225 2013 Mathematical tools for the study of the incompressible Navier-Stokes equations and related models. Zbl 1286.76005Boyer, Franck; Fabrie, Pierre 222 2013 Boundary integral equations. Zbl 1157.65066Hsiao, George C.; Wendland, Wolfgang L. 216 2008 Multiple scale and singular perturbation methods. Zbl 0846.34001Kevorkian, Jirair K.; Cole, J. D. 215 1996 Polarization and moment tensors. With applications to inverse problems and effective medium theory. Zbl 1220.35001Ammari, Habib; Kang, Hyeonbae 204 2007 Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. 203 1989 Nonlinear problems of elasticity. 2nd, revised and extended ed. Zbl 1098.74001Antman, Stuart S. 201 2005 Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002Hislop, P. D.; Sigal, I. M. 198 1996 Markov chain models - rarity and exponentiality. Zbl 0411.60068Keilson, Julian 196 1979 Linear integral equations. Zbl 0671.45001Kress, Rainer 191 1989 Spectral methods for incompressible viscous flow. Zbl 1005.76001Peyret, Roger 190 2002 Elliptic functions and applications. Zbl 0689.33001Lawden, Derek F. 188 1989 Stochastic approximation methods for constrained and unconstrained systems. Zbl 0381.60004Kushner, Harold J.; Clark, Dean S. 184 1978 Singular perturbation methods for ordinary differential equations. Zbl 0743.34059O’Malley, Robert E. jun. 173 1991 An introduction to the mathematical theory of inverse problems. 2nd ed. Zbl 1213.35004Kirsch, Andreas 173 2011 The \(N\)-vortex problem. Analytical techniques. Zbl 0981.76002Newton, Paul K. 171 2001 Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York. Zbl 0365.76001Courant, R.; Friedrichs, K. O. 169 1976 Linear integral equations. 2nd ed. Zbl 0920.45001Kress, Rainer 167 1999 Introduction to Hamiltonian dynamical systems and the \(N\)-body problem. Zbl 0743.70006Meyer, Kenneth R.; Hall, Glen R. 164 1992 Configuration forces as basic concepts of continuum physics. Zbl 0951.74003Gurtin, Morton E. 163 2000 Fluid dynamics of viscoelastic liquids. Zbl 0698.76002Joseph, Daniel D. 162 1990 Spectral and dynamical stability of nonlinear waves. Zbl 1297.37001Kapitula, Todd; Promislow, Keith 162 2013 Variational methods in imaging. Zbl 1177.68245Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank 161 2009 Partial differential equations. III: Nonlinear equations. 2nd ed. Zbl 1206.35004Taylor, Michael E. 158 2011 Partial differential equations. I: Basic theory. 2nd ed. Zbl 1206.35002Taylor, Michael E. 154 2011 The energy method, stability, and nonlinear convection. 2nd rev. ed. Zbl 1032.76001Straughan, Brian 153 2004 Least-squares finite element methods. Zbl 1168.65067Bochev, Pavel B.; Gunzburger, Max D. 153 2009 Box splines. Zbl 0814.41012De Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman 150 1993 Homogenization of reticulated structures. Zbl 0929.35002Cioranescu, Doina; Saint Jean Paulin, Jeannine 143 1999 Introduction to Hamiltonian dynamical systems and the \(N\)-body problem. 2nd ed. Zbl 1179.70002Meyer, Kenneth R.; Hall, Glen R.; Offın, Dan 142 2009 Applied functional analysis. Applications to mathematical physics. Vol. 1. Zbl 0834.46002Zeidler, Eberhard 131 1995 Maxwell’s equations in periodic structures. Zbl 1484.35001Bao, Gang; Li, Peijun 1 2022 Fractional differential equations. An approach via fractional derivatives. Zbl 1466.34002Jin, Bangti 6 2021 An introduction to the mathematical theory of inverse problems. 3rd updated edition. Zbl 1456.35001Kirsch, Andreas 6 2021 Topological methods in hydrodynamics. 2nd edition. Zbl 1475.76003Arnold, Vladimir I.; Khesin, Boris A. 6 2021 Direct and inverse scattering for the matrix Schrödinger equation. 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Zbl 1218.37001Broer, Henk; Takens, Floris 24 2011 Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003Holden, Helge; Risebro, Nils Henrik 23 2011 Topology, geometry, and gauge fields. Interactions. 2nd ed. Zbl 1233.53004Naber, Gregory L. 3 2011 Applications of symmetry methods to partial differential equations. Zbl 1223.35001Bluman, George W.; Cheviakov, Alexei; Anco, Stephen 272 2010 Shapes and diffeomorphisms. Zbl 1205.68355Younes, Laurent 116 2010 Theory and applications of stochastic processes. An analytical approach. Zbl 1202.60005Schuss, Zeev 73 2010 Imperfect bifurcation in structures and materials. Engineering use of group-theoretic bifurcation theory. 2nd ed. Zbl 1204.74003Ikeda, Kiyohiro; Murota, Kazuo 14 2010 Variational methods in imaging. Zbl 1177.68245Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank 161 2009 Least-squares finite element methods. Zbl 1168.65067Bochev, Pavel B.; Gunzburger, Max D. 153 2009 Introduction to Hamiltonian dynamical systems and the \(N\)-body problem. 2nd ed. Zbl 1179.70002Meyer, Kenneth R.; Hall, Glen R.; Offın, Dan 142 2009 Bilinear control systems. Matrices in action. Zbl 1171.93003Elliott, David L. 45 2009 Piecewise-smooth dynamical systems. Theory and applications. Zbl 1146.37003di Bernardo, M.; Budd, C. J.; Champneys, A. R.; Kowalczyk, P. 721 2008 Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001Dacorogna, Bernard 338 2008 Boundary integral equations. Zbl 1157.65066Hsiao, George C.; Wendland, Wolfgang L. 216 2008 Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001Sanders, J. A.; Verhulst, F.; Murdock, James 314 2007 Polarization and moment tensors. With applications to inverse problems and effective medium theory. Zbl 1220.35001Ammari, Habib; Kang, Hyeonbae 204 2007 Vortex dominated flows. Analysis and computation for multiple scale phenomena. 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An introduction with applications of PDEs. Zbl 1032.35001Kielhöfer, Hansjörg 81 2004 Prandtl’s essentials of fluid mechanics. With contributions by M. Böhle, D. Etling, U. Müller, K. R. S. Sreenivasan, U. Riedel, and J. Warnatz. Translated by Katherine Mayes. 2nd ed. Zbl 1073.76001 3 2004 Level set methods and dynamic implicit surfaces. Zbl 1026.76001Osher, Stanley; Fedkiw, Ronald 710 2003 Modeling and inverse problems in image analysis. Transl. from the French. Zbl 1005.62081Chalmond, Bernard 11 2003 Dynamics of evolutionary equations. Zbl 1254.37002Sell, George R.; You, Yuncheng 484 2002 Symmetry and integration methods for differential equations. Zbl 1013.34004Bluman, George W.; Anco, Stephen C. 346 2002 Shape optimization by the homogenization method. Zbl 0990.35001Allaire, Grégoire 340 2002 Spectral methods for incompressible viscous flow. Zbl 1005.76001Peyret, Roger 190 2002 Mathematical problems in image processing. Partial differential equations and the calculus of variations. 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Zbl 0979.53001Naber, Gregory L. 5 2000 ...and 151 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 44,207 Authors 181 Llibre, Jaume 78 Guo, Boling 75 Zhou, Shengfan 73 Ammari, Habib M. 73 Miranville, Alain M. 71 Caraballo Garrido, Tomás 70 Valls Anglés, Cláudia 66 Ezzinbi, Khalil 65 Liu, Hongyu 65 Titi, Edriss Saleh 63 Li, Jibin 62 Xu, Gen-Qi 60 Pata, Vittorino 58 Guo, Shangjiang 57 Park, Juhyun (Jessie) 57 Yamamoto, Masahiro 57 Zhang, Weinian 56 Wu, Jianhong 55 Han, Maoan 55 Khalique, Chaudry Masood 55 Nazarov, Sergeĭ Aleksandrovich 55 Wei, Junjie 54 Duan, Jinqiao 53 Lasiecka, Irena 53 Li, Yongxiang 53 Nolasco de Carvalho, Alexandre 53 Temam, Roger Meyer 52 Fu, Xianlong 51 Barreira, Luis Manuel 51 Kühn, Christian 51 Zelik, Sergey V. 50 Chen, Guanrong 50 Holmes, Philip J. 50 Langa, Jose’ Antonio 48 Pedregal, Pablo 47 Fečkan, Michal 47 Tang, Xianhua 46 Papageorgiou, Nikolaos S. 46 Sofonea, Mircea 46 Wang, Bixiang 45 Kloeden, Peter Eris 45 Yu, Pei 44 Băleanu, Dumitru I. 44 Elaiw, Ahmed M. 44 Gardini, Laura 44 Zhong, Chengkui 43 Flandoli, Franco 43 Kang, Hyeonbae 42 Benchohra, Mouffak 42 O’Regan, Donal 41 Balachandran, Krishnan 41 Huang, Lihong 41 Ruan, Shigui 41 Tang, Chun-Lei 41 Triggiani, Roberto 40 Guo, Bao-Zhu 40 Henríquez, Hernán R. 40 Hu, Guanghui 40 Sun, Chunyou 40 Vidal, Claudio 40 Xu, Wei 39 Kunisch, Karl 39 Yuan, Rong 38 Fridman, Emilia 38 Jiang, Weihua 38 Klibanov, Michael V. 38 Krejčí, Pavel 38 Song, Yongli 38 Xu, Rui 37 He, Yinnian 37 Liu, Zhenhai 37 Lu, Kening 37 Nguyen Thieu Huy 37 Teixeira, Marco Antonio 37 Zhang, Wei 36 Jing, Zhujun 36 Krauskopf, Bernd 36 Kress, Rainer 36 Liang, Jin 36 Zumbrun, Kevin R. 35 Agarwal, Ravi P. 35 Chen, Pengyu 35 Chueshov, Igor’ Dmitrievich 35 de la Llave, Rafael 35 Han, Weimin 35 Han, Zhongjie 35 Hernández, Eduardo M. 35 Li, Yangrong 35 Nicaise, Serge 35 Pandey, Dwijendra Narain 35 Tachim Medjo, Theodore 35 Tian, Shoufu 35 Wang, Junmin 35 Zhao, Xiao-Qiang 34 Chepyzhov, Vladimir V. 34 Gao, Hongjun 34 Kapustyan, Oleksiy V. 34 Kara, Abdul Hamid 34 Liu, Jijun 34 Muñoz Rivera, Jaime Edilberto ...and 44,107 more Authors all top 5 Cited in 1,166 Journals 1,692 Journal of Mathematical Analysis and Applications 1,557 Journal of Differential Equations 1,181 Physica D 996 Applied Mathematics and Computation 840 Journal of Computational Physics 790 Nonlinear Analysis. 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