# zbMATH — the first resource for mathematics

## 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: 260 Publications (since 1971)
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#### Latest Volumes

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#### 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 Aubert, Gilles 2 Cercignani, Carlo 2 Collatz, Lothar 2 Dacorogna, Bernard 2 Freiberger, Walter F. 2 Ghil, Michael 2 Godlewski, Edwige 2 Golubitsky, Martin A. 2 Hackbusch, Wolfgang 2 Hall, Glen Richard 2 Hsiao, George C. 2 Kielhöfer, Hansjörg 2 Kornprobst, Pierre 2 Lichtenberg, Allan J. 2 Lieberman, Michael A. 2 Magalhães, Luis T. 2 Marsden, Jerrold Eldon 2 Muniz Oliva, Waldyr 2 Naylor, Arch W. 2 Nusse, Helena Engelina 2 Oertel, Herbert jun. 2 Pulvirenti, Mario 2 Raviart, Pierre-Arnaud 2 Sanders, Jan A. 2 Schaeffer, David G. 2 Verduyn Lunel, Sjoerd M. 2 Verhulst, Ferdinand 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 Arnol’d, Vladimir Igorevich 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. 1 Cheviakov, Alexei F. 1 Chipot, Michel 1 Chorin, Alexandre Joel 1 Chossat, Pascal 1 Chueshov, Igor’ Dmitrievich 1 Ciarlet, Patrick jun. 1 Cioranescu, Doina 1 Clark, Dean S. 1 Cole, Julian David 1 Constantin, Peter 1 Courant, Richard ...and 202 more Authors
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#### Fields

 94 Partial differential equations (35-XX) 64 Ordinary differential equations (34-XX) 51 Dynamical systems and ergodic theory (37-XX) 48 Fluid mechanics (76-XX) 46 Numerical analysis (65-XX) 30 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) 17 Mechanics of particles and systems (70-XX) 17 Optics, electromagnetic theory (78-XX) 16 Systems theory; control (93-XX) 15 Calculus of variations and optimal control; optimization (49-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) 7 General and overarching topics; collections (00-XX) 7 Statistics (62-XX) 7 Operations research, mathematical programming (90-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)

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Ordinary and delay differential equations. Zbl 0374.34001
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Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001
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Inverse problems for partial differential equations. Zbl 0908.35134
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Chaos, fractals, and noise: Stochastic aspects of dynamics. 2nd ed. Zbl 0784.58005
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2004
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Variational methods in imaging. Zbl 1177.68245
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2009
Least-squares finite element methods. Zbl 1168.65067
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2009
Partial differential equations. I: Basic theory. 2nd ed. Zbl 1206.35002
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2011
Spectral and dynamical stability of nonlinear waves. Zbl 1297.37001
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2013
Introduction to Hamiltonian dynamical systems and the $$N$$-body problem. 2nd ed. Zbl 1179.70002
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2009
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Direct and inverse scattering for the matrix Schrödinger equation. Zbl 1460.34004
Aktosun, Tuncay; Weder, Ricardo
2021
Fractional differential equations. An approach via fractional derivatives. Zbl 1466.34002
Jin, Bangti
2021
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Zbl 1425.35001
Colton, David; Kress, Rainer
2019
Foundations of chemical reaction network theory. Zbl 1420.92001
Feinberg, Martin
2019
Shapes and diffeomorphisms. 2nd updated edition. Zbl 1423.53002
Younes, Laurent
2019
Imperfect bifurcation in structures and materials. Engineering use of group-theoretic bifurcation theory. 3rd edition. Zbl 1422.74003
Ikeda, Kiyohiro; Murota, Kazuo
2019
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
2018
Mathematical foundations of computational electromagnetism. Zbl 1452.78001
Assous, Franck; Ciarlet, Patrick; Labrunie, Simon
2018
Singular perturbations and boundary layers. Zbl 1411.35002
Gie, Gung-Min; Hamouda, Makram; Jung, Chang-Yeol; Temam, Roger M.
2018
Asymptotics of elliptic and parabolic PDEs. And their applications in statistical physics, computational neuroscience, and biophysics. Zbl 1402.35004
Holcman, David; Schuss, Zeev
2018
Inverse problems for partial differential equations. 3rd edition. Zbl 1366.65087
Isakov, Victor
2017
Introduction to Hamiltonian dynamical systems and the $$N$$-body problem. 3rd edition. Zbl 1372.70002
Meyer, Kenneth R.; Offin, Daniel C.
2017
Numerical methods for stochastic partial differential equations with white noise. Zbl 1380.65021
2017
Fourier series, Fourier transform and their applications to mathematical physics. Zbl 1422.42001
Serov, Valery
2017
Information geometry and its applications. Zbl 1350.94001
Amari, Shun-ichi
2016
The parameterization method for invariant manifolds. From rigorous results to effective computations. Zbl 1372.37002
Haro, Àlex; Canadell, Marta; Figueras, Jordi-Lluís; Luque, Alejandro; Mondelo, Josep-Maria
2016
Iterative solution of large sparse systems of equations. 2nd edition. Zbl 1347.65063
Hackbusch, Wolfgang
2016
Multiple time scale dynamics. Zbl 1335.34001
Kuehn, Christian
2015
Rate-independent systems. Theory and application. Zbl 1339.35006
Mielke, Alexander; Roubíček, Tomáš
2015
The mathematical theory of time-harmonic Maxwell’s equations. Expansion-, integral-, and variational methods. Zbl 1342.35004
Kirsch, Andreas; Hettlich, Frank
2015
Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004
Holden, Helge; Risebro, Nils Henrik
2015
The nonlinear Schrödinger equation. Singular solutions and optical collapse. Zbl 1351.35001
2015
Linear integral equations. 3rd ed. Zbl 1328.45001
Kress, Rainer
2014
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
2014
Mathematical aspects of pattern formation in biological systems. Zbl 1295.92013
Wei, Juncheng; Winter, Matthias
2014
Inverse acoustic and electromagnetic scattering theory. 3rd ed. Zbl 1266.35121
Colton, David; Kress, Rainer
2013
Attractors for infinite-dimensional non-autonomous dynamical systems. Zbl 1263.37002
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
2013
Mathematical tools for the study of the incompressible Navier-Stokes equations and related models. Zbl 1286.76005
Boyer, Franck; Fabrie, Pierre
2013
Spectral and dynamical stability of nonlinear waves. Zbl 1297.37001
Kapitula, Todd; Promislow, Keith
2013
Bifurcation theory of functional differential equations. Zbl 1316.34003
Guo, Shangjiang; Wu, Jianhong
2013
Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation. Zbl 1287.65015
Osipov, Andrei; Rokhlin, Vladimir; Xiao, Hong
2013
Brownian dynamics at boundaries and interfaces. In physics, chemistry, and biology. Zbl 1305.60006
Schuss, Zeev
2013
Falling liquid films. Zbl 1231.76001
Kalliadasis, S.; Ruyer-Quil, C.; Scheid, B.; Velarde, M. G.
2012
Normal forms, Melnikov functions and bifurcations of limit cycles. Zbl 1252.37002
Han, Maoan; Yu, Pei
2012
Bifurcation theory. An introduction with applications to partial differential equations. 2nd revised ed. Zbl 1230.35002
Kielhöfer, Hansjörg
2012
The geometry of Minkowski spacetime. An introduction to the mathematics of the special theory of relativity. 2nd ed. Zbl 1241.83005
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2012
Nonlinear filtering and optimal phase tracking. Zbl 1251.60003
Schuss, Zeev
2012
Interfacial convection in multilayer systems. 2nd ed. Zbl 1237.76002
Nepomnyashchy, Alexander; Simanovskii, Ilya; Legros, Jean Claude
2012
An introduction to the mathematical theory of inverse problems. 2nd ed. Zbl 1213.35004
Kirsch, Andreas
2011
Partial differential equations. I: Basic theory. 2nd ed. Zbl 1206.35002
Taylor, Michael E.
2011
Partial differential equations. III: Nonlinear equations. 2nd ed. Zbl 1206.35004
Taylor, Michael E.
2011
Adaptive moving mesh methods. Zbl 1227.65090
Huang, Weizhang; Russell, Robert D.
2011
Heat waves. Zbl 1232.80001
Straughan, Brian
2011
Partial differential equations. II: Qualitative studies of linear equations. 2nd ed. Zbl 1206.35003
Taylor, Michael E.
2011
Semi-discretization for time-delay systems. Stability and engineering applications. Zbl 1245.93004
Insperger, Tamas; Stépán, Gábor
2011
Transient chaos. Complex dynamics in finite-time scales. Zbl 1218.37005
Lai, Ying-Cheng; Tél, Tamás
2011
Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003
Holden, Helge; Risebro, Nils Henrik
2011
Dynamical systems and chaos. Zbl 1218.37001
Broer, Henk; Takens, Floris
2011
The linear ordering problem. Exact and heuristic methods in combinatorial optimization. Zbl 1213.90005
Martí, Rafael; Reinelt, Gerhard
2011
Topology, geometry, and gauge fields. Interactions. 2nd ed. Zbl 1233.53004
Naber, Gregory L.
2011
Applications of symmetry methods to partial differential equations. Zbl 1223.35001
Bluman, George W.; Cheviakov, Alexei; Anco, Stephen
2010
Shapes and diffeomorphisms. Zbl 1205.68355
Younes, Laurent
2010
Theory and applications of stochastic processes. An analytical approach. Zbl 1202.60005
Schuss, Zeev
2010
Imperfect bifurcation in structures and materials. Engineering use of group-theoretic bifurcation theory. 2nd ed. Zbl 1204.74003
Ikeda, Kiyohiro; Murota, Kazuo
2010
Variational methods in imaging. Zbl 1177.68245
Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank
2009
Least-squares finite element methods. Zbl 1168.65067
Bochev, Pavel B.; Gunzburger, Max D.
2009
Introduction to Hamiltonian dynamical systems and the $$N$$-body problem. 2nd ed. Zbl 1179.70002
Meyer, Kenneth R.; Hall, Glen R.; Offın, Dan
2009
Bilinear control systems. Matrices in action. Zbl 1171.93003
Elliott, David L.
2009
Piecewise-smooth dynamical systems. Theory and applications. Zbl 1146.37003
di Bernardo, M.; Budd, C. J.; Champneys, A. R.; Kowalczyk, P.
2008
Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001
Dacorogna, Bernard
2008
Boundary integral equations. Zbl 1157.65066
Hsiao, George C.; Wendland, Wolfgang L.
2008
Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001
Sanders, J. A.; Verhulst, F.; Murdock, James
2007
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Inverse problems for partial differential equations. 2nd ed. Zbl 1092.35001
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Nonlinear problems of elasticity. 2nd, revised and extended ed. Zbl 1098.74001
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Elements of applied bifurcation theory. 3rd ed. Zbl 1082.37002
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Theory and practice of finite elements. Zbl 1059.65103
Ern, Alexandre; Guermond, Jean-Luc
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The energy method, stability, and nonlinear convection. 2nd rev. ed. Zbl 1032.76001
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Computational homology. Zbl 1039.55001
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Bifurcation theory. An introduction with applications of PDEs. Zbl 1032.35001
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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
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Level set methods and dynamic implicit surfaces. Zbl 1026.76001
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Modeling and inverse problems in image analysis. Transl. from the French. Zbl 1005.62081
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Shape optimization by the homogenization method. Zbl 0990.35001
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Spectral methods for incompressible viscous flow. Zbl 1005.76001
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Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski. 2nd ed. Zbl 1002.37002
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Imperfect bifurcation in structures and materials. Engineering use of group-theoretic bifucation theory. Zbl 1005.74001
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A practical guide to splines. Rev. ed. Zbl 0987.65015
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Configuration forces as basic concepts of continuum physics. Zbl 0951.74003
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Variational methods for structural optimization. Zbl 0956.74001
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Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Paperback edition. Zbl 0945.47001
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Linear integral equations. 2nd ed. Zbl 0920.45001
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1999
Homogenization of reticulated structures. Zbl 0929.35002
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#### Cited by 39,605 Authors

 156 Llibre, Jaume 74 Zhou, Shengfan 73 Guo, Boling 68 Miranville, Alain M. 67 Ammari, Habib M. 63 Titi, Edriss Saleh 62 Li, Jibin 62 Valls Anglés, Cláudia 60 Ezzinbi, Khalil 59 Caraballo Garrido, Tomás 58 Pata, Vittorino 58 Xu, Gen-Qi 57 Park, Juhyun (Jessie) 54 Zhang, Weinian 53 Yamamoto, Masahiro 52 Guo, Shangjiang 52 Nazarov, Sergeĭ Aleksandrovich 52 Temam, Roger Meyer 51 Han, Maoan 51 Wei, Junjie 50 Lasiecka, Irena 50 Wu, Jianhong 49 Chen, Guanrong 49 Duan, Jinqiao 49 Holmes, Philip J. 48 Barreira, Luis Manuel 48 Nolasco de Carvalho, Alexandre 46 Khalique, Chaudry Masood 46 Li, Yongxiang 46 Papageorgiou, Nikolaos S. 46 Tang, Xianhua 45 Langa, Jose’ Antonio 45 Liu, Hongyu 44 Fu, Xianlong 44 Kloeden, Peter Eris 44 Yu, Pei 43 Fečkan, Michal 43 Sofonea, Mircea 42 Kühn, Christian 42 Pedregal, Pablo 42 Wang, Bixiang 42 Zelik, Sergey V. 42 Zhong, Chengkui 41 Kang, Hyeonbae 40 Balachandran, Krishnan 40 Flandoli, Franco 39 Gardini, Laura 38 Benchohra, Mouffak 38 Henríquez, Hernán R. 38 Jiang, Weihua 38 Krejčí, Pavel 38 Triggiani, Roberto 37 Kunisch, Karl 37 Zhang, Wei 36 Guo, Bao-Zhu 36 Hu, Guanghui 36 Kress, Rainer 36 Lu, Kening 36 O’Regan, Donal 36 Ruan, Shigui 36 Vidal, Claudio 35 Chueshov, Igor’ Dmitrievich 35 Huang, Lihong 35 Jing, Zhujun 35 Sun, Chunyou 35 Xu, Rui 35 Zumbrun, Kevin R. 34 Balasubramaniam, Pagavathigounder 34 Chen, Pengyu 34 Han, Weimin 34 Liang, Jin 34 Song, Yongli 34 Yuan, Rong 33 Agarwal, Ravi P. 33 Elaiw, Ahmed M. 33 Haller, George 33 Klibanov, Michael V. 33 Liu, Xia 33 Liu, Zhenhai 33 Tian, Shoufu 33 Wang, Junmin 33 Zhao, Xiao-Qiang 32 Hernández, Eduardo M. 32 Kadalbajoo, Mohan K. 32 Liu, Jijun 32 Pandey, Dwijendra Narain 32 Robinson, James Cooper 32 Rodríguez-Luis, Alejandro J. 31 Chepyzhov, Vladimir V. 31 Conti, Monica C. 31 Fridman, Emilia 31 Gao, Hongjun 31 Ge, Weigao 31 Giorgi, Claudio 31 Grasselli, Maurizio 31 Han, Zhongjie 31 He, Yinnian 31 Kara, Abdul Hamid 31 Kasyanov, Pavlo O. 31 Krauskopf, Bernd ...and 39,505 more Authors
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#### Cited in 1,077 Journals

 1,612 Journal of Mathematical Analysis and Applications 1,434 Journal of Differential Equations 1,060 Physica D 951 Applied Mathematics and Computation 760 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 742 Journal of Computational Physics 686 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 625 Journal of Computational and Applied Mathematics 607 Nonlinear Dynamics 536 Chaos, Solitons and Fractals 496 Journal of Fluid Mechanics 475 Computers & Mathematics with Applications 449 Mathematical Methods in the Applied Sciences 435 Archive for Rational Mechanics and Analysis 435 Computer Methods in Applied Mechanics and Engineering 392 Nonlinear Analysis. Real World Applications 376 Communications in Nonlinear Science and Numerical Simulation 372 Discrete and Continuous Dynamical Systems. Series B 340 Journal of Dynamics and Differential Equations 332 Automatica 330 Journal of Mathematical Physics 324 Applied Mathematics Letters 313 Physics Letters. A 302 Advances in Difference Equations 299 International Journal of Control 294 Communications in Mathematical Physics 294 ZAMP. Zeitschrift für angewandte Mathematik und Physik 290 Abstract and Applied Analysis 284 Journal of Statistical Physics 282 Systems & Control Letters 277 Discrete and Continuous Dynamical Systems 276 Applicable Analysis 273 Nonlinear Analysis. Theory, Methods & Applications 264 Journal of Optimization Theory and Applications 259 Chaos 258 Numerische Mathematik 255 Journal of Mathematical Biology 249 Applied Numerical Mathematics 248 Mathematics of Computation 243 Journal of Scientific Computing 242 Journal of Nonlinear Science 226 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 218 Applied Mathematical Modelling 215 Mathematical Problems in Engineering 212 Transactions of the American Mathematical Society 208 SIAM Journal on Mathematical Analysis 207 Journal of Functional Analysis 192 Proceedings of the American Mathematical Society 186 Applied Mathematics and Mechanics. (English Edition) 183 Mathematical and Computer Modelling 182 SIAM Journal on Applied Dynamical Systems 181 SIAM Journal on Scientific Computing 177 Acta Applicandae Mathematicae 176 Journal of Mathematical Sciences (New York) 175 SIAM Journal on Applied Mathematics 170 Inverse Problems 165 Mathematics and Computers in Simulation 165 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 156 Journal de Mathématiques Pures et Appliquées. Neuvième Série 154 Communications on Pure and Applied Analysis 153 Acta Mathematicae Applicatae Sinica. English Series 152 SIAM Journal on Numerical Analysis 150 Mathematical Biosciences 149 Calculus of Variations and Partial Differential Equations 145 Journal of the Franklin Institute 144 Bulletin of Mathematical Biology 143 Acta Mechanica 142 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 142 Journal of Elasticity 140 Communications in Partial Differential Equations 138 SIAM Journal on Control and Optimization 138 Physics of Fluids 131 Discrete Dynamics in Nature and Society 130 Inverse Problems and Imaging 127 International Journal for Numerical Methods in Engineering 126 Numerical Functional Analysis and Optimization 125 Linear Algebra and its Applications 124 Computers and Fluids 124 International Journal of Engineering Science 124 Journal of Integral Equations and Applications 121 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 120 Quarterly of Applied Mathematics 119 Stochastic Processes and their Applications 119 Journal of Applied Mathematics and Computing 119 Boundary Value Problems 118 Applied Mathematics and Optimization 118 Computer Aided Geometric Design 118 Discrete and Continuous Dynamical Systems. Series S 117 BIT 117 Journal of Difference Equations and Applications 116 International Journal of Robust and Nonlinear Control 114 Annali di Matematica Pura ed Applicata. Serie Quarta 111 Rocky Mountain Journal of Mathematics 111 Journal of Evolution Equations 111 Comptes Rendus. Mathématique. Académie des Sciences, Paris 110 Numerical Algorithms 109 Journal of Mathematical Imaging and Vision 107 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 107 Advances in Computational Mathematics 106 Continuum Mechanics and Thermodynamics ...and 977 more Journals
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#### Cited in 63 Fields

 14,758 Partial differential equations (35-XX) 9,398 Ordinary differential equations (34-XX) 7,269 Numerical analysis (65-XX) 6,679 Dynamical systems and ergodic theory (37-XX) 5,986 Fluid mechanics (76-XX) 4,110 Biology and other natural sciences (92-XX) 4,005 Systems theory; control (93-XX) 3,518 Mechanics of deformable solids (74-XX) 2,913 Operator theory (47-XX) 2,177 Calculus of variations and optimal control; optimization (49-XX) 2,158 Probability theory and stochastic processes (60-XX) 1,917 Mechanics of particles and systems (70-XX) 1,541 Statistical mechanics, structure of matter (82-XX) 1,269 Optics, electromagnetic theory (78-XX) 1,249 Global analysis, analysis on manifolds (58-XX) 1,195 Statistics (62-XX) 1,088 Integral equations (45-XX) 904 Operations research, mathematical programming (90-XX) 788 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 771 Quantum theory (81-XX) 766 Computer science (68-XX) 721 Classical thermodynamics, heat transfer (80-XX) 655 Approximations and expansions (41-XX) 651 Information and communication theory, circuits (94-XX) 646 Differential geometry (53-XX) 644 Difference and functional equations (39-XX) 516 Functional analysis (46-XX) 451 Geophysics (86-XX) 379 Real functions (26-XX) 336 Linear and multilinear algebra; matrix theory (15-XX) 292 Harmonic analysis on Euclidean spaces (42-XX) 247 Relativity and gravitational theory (83-XX) 198 Special functions (33-XX) 178 Functions of a complex variable (30-XX) 177 Potential theory (31-XX) 159 Topological groups, Lie groups (22-XX) 136 Combinatorics (05-XX) 131 Integral transforms, operational calculus (44-XX) 129 Manifolds and cell complexes (57-XX) 125 Measure and integration (28-XX) 99 General topology (54-XX) 97 Astronomy and astrophysics (85-XX) 91 Nonassociative rings and algebras (17-XX) 89 Algebraic topology (55-XX) 83 Number theory (11-XX) 72 Several complex variables and analytic spaces (32-XX) 68 General and overarching topics; collections (00-XX) 67 Abstract harmonic analysis (43-XX) 63 History and biography (01-XX) 57 Algebraic geometry (14-XX) 55 Commutative algebra (13-XX) 54 Convex and discrete geometry (52-XX) 37 Group theory and generalizations (20-XX) 28 Mathematical logic and foundations (03-XX) 28 Field theory and polynomials (12-XX) 28 Geometry (51-XX) 19 Associative rings and algebras (16-XX) 16 Category theory; homological algebra (18-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 10 Sequences, series, summability (40-XX) 10 Mathematics education (97-XX) 5 $$K$$-theory (19-XX) 1 General algebraic systems (08-XX)