Analysis and Applications (Singapore) Short Title: Anal. Appl., Singap. Publisher: World Scientific, Singapore ISSN: 0219-5305; 1793-6861/e Online: https://www.worldscientific.com/loi/aa Comments: Journal; Indexed cover-to-cover Documents Indexed: 585 Publications (since 2003) References Indexed: 582 Publications with 15,778 References. all top 5 Latest Issues 21, No. 6 (2023) 21, No. 5 (2023) 21, No. 4 (2023) 21, No. 3 (2023) 21, No. 2 (2023) 21, No. 1 (2023) 20, No. 6 (2022) 20, No. 5 (2022) 20, No. 4 (2022) 20, No. 3 (2022) 20, No. 2 (2022) 20, No. 1 (2022) 19, No. 6 (2021) 19, No. 5 (2021) 19, No. 4 (2021) 19, No. 3 (2021) 19, No. 2 (2021) 19, No. 1 (2021) 18, No. 6 (2020) 18, No. 5 (2020) 18, No. 4 (2020) 18, No. 3 (2020) 18, No. 2 (2020) 18, No. 1 (2020) 17, No. 6 (2019) 17, No. 5 (2019) 17, No. 4 (2019) 17, No. 3 (2019) 17, No. 2 (2019) 17, No. 1 (2019) 16, No. 6 (2018) 16, No. 5 (2018) 16, No. 4 (2018) 16, No. 3 (2018) 16, No. 2 (2018) 16, No. 1 (2018) 15, No. 6 (2017) 15, No. 5 (2017) 15, No. 4 (2017) 15, No. 3 (2017) 15, No. 2 (2017) 15, No. 1 (2017) 14, No. 6 (2016) 14, No. 5 (2016) 14, No. 4 (2016) 14, No. 3 (2016) 14, No. 2 (2016) 14, No. 1 (2016) 13, No. 6 (2015) 13, No. 5 (2015) 13, No. 4 (2015) 13, No. 3 (2015) 13, No. 2 (2015) 13, No. 1 (2015) 12, No. 6 (2014) 12, No. 5 (2014) 12, No. 4 (2014) 12, No. 3 (2014) 12, No. 2 (2014) 12, No. 1 (2014) 11, No. 6 (2013) 11, No. 5 (2013) 11, No. 4 (2013) 11, No. 3 (2013) 11, No. 2 (2013) 11, No. 1 (2013) 10, No. 4 (2012) 10, No. 3 (2012) 10, No. 2 (2012) 10, No. 1 (2012) 9, No. 4 (2011) 9, No. 3 (2011) 9, No. 2 (2011) 9, No. 1 (2011) 8, No. 4 (2010) 8, No. 3 (2010) 8, No. 2 (2010) 8, No. 1 (2010) 7, No. 4 (2009) 7, No. 3 (2009) 7, No. 2 (2009) 7, No. 1 (2009) 6, No. 4 (2008) 6, No. 3 (2008) 6, No. 2 (2008) 6, No. 1 (2008) 5, No. 4 (2007) 5, No. 3 (2007) 5, No. 2 (2007) 5, No. 1 (2007) 4, No. 4 (2006) 4, No. 3 (2006) 4, No. 2 (2006) 4, No. 1 (2006) 3, No. 4 (2005) 3, No. 3 (2005) 3, No. 2 (2005) 3, No. 1 (2005) 2, No. 4 (2004) 2, No. 3 (2004) ...and 4 more Volumes all top 5 Authors 13 Wong, Roderick Sue-Chuen 11 Zhou, Dingxuan 9 Ciarlet, Philippe Gaston 9 Ismail, Mourad El-Houssieny 9 Mardare, Cristinel 9 Yang, Dachun 8 Rădulescu, Vicenţiu D. 7 De Vito, Ernesto 7 Yang, Tong 6 Bressan, Alberto 6 Dunster, T. M. 6 Greiner, Peter C. 6 Hu, Ting 6 Schwab, Christoph 6 Temam, Roger Meyer 6 Wu, Qiang 5 Ha, Seung-Yeal 5 Zhao, Yuqiu 4 Alzer, Horst 4 Fan, Jun 4 Griso, Georges 4 Guo, Boling 4 Haraux, Alain 4 Li, Song 4 Li, Yutian 4 Lin, Yu 4 Morimoto, Yoshinori 4 Rosasco, Lorenzo A. 4 Smale, Steve 4 Toft, Joachim 4 Trimèche, Khalifa 4 Volkmer, Hans 4 Yuan, Wen 3 Alpay, Daniel Aron 3 Alves, Claudianor Oliveira 3 Blanchard, Dominique 3 Caponnetto, Andrea 3 Chipot, Michel 3 Chui, Charles Kam-tai 3 Dinca, George 3 Kawashima, Shuichi 3 Liu, Yuji 3 Matei, Pavel 3 Molica Bisci, Giovanni 3 Papageorgiou, Nikolaos S. 3 Petersen, Philipp Christian 3 Plonka, Gerlind 3 Poggio, Tomaso A. 3 Rodrigo, Marianito R. 3 Sabadini, Irene 3 Seifert, George 3 Tan, Zhong 3 Ukai, Seiji 3 Vallee, Claude 3 Xiang, Dao-Hong 3 Yang, Dongyong 3 Ying, Yiming 3 Zhang, Haizhang 3 Zhong, Xin 2 Abdeljawad, Ahmed 2 Alexandre, Radjesvarane 2 Amrouche, Chérif 2 Belleni-Morante, Aldo 2 Bi, Ning 2 Blanchard, Gilles 2 Bouhamidi, Abderrahman 2 Carmeli, Claudio 2 Chang, Chin-Huei 2 Chang, Der-Chen E. 2 Christmann, Andreas 2 Ciarlet, Patrick jun. 2 Cohen, Albert 2 Colombo, Fabrizio 2 Cordero, Elena 2 Coroianu, Lucian C. 2 Daalhuis, A. B. Olde 2 Dahlke, Stephan 2 Dai, Hui-Hui 2 De Mari, Filippo 2 Diki, Kamal 2 Ding, Hongming 2 Duan, Jinqiao 2 Dunkl, Charles F. 2 Ezquerro, José Antonio 2 Fan, Jishan 2 Fan, Lili 2 Farashahi, Arash Ghaani 2 Gal, Sorin Gheorghe 2 Ge, Weigao 2 Geng, Xianguo 2 Gil, Amparo 2 Gil’, Michael Iosif 2 Grau-Sánchez, Miquel 2 Guibé, Olivier 2 Guidugli, Paolo Podio 2 Guo, Xin 2 Hajaiej, Hichem 2 Hoang, Viet Ha 2 Iosifescu, Oana 2 Jia, Rong-Qing ...and 864 more Authors all top 5 Fields 225 Partial differential equations (35-XX) 77 Approximations and expansions (41-XX) 74 Harmonic analysis on Euclidean spaces (42-XX) 71 Computer science (68-XX) 68 Special functions (33-XX) 64 Ordinary differential equations (34-XX) 64 Fluid mechanics (76-XX) 62 Functional analysis (46-XX) 59 Operator theory (47-XX) 56 Numerical analysis (65-XX) 47 Mechanics of deformable solids (74-XX) 41 Statistics (62-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 24 Probability theory and stochastic processes (60-XX) 23 Operations research, mathematical programming (90-XX) 22 Real functions (26-XX) 22 Functions of a complex variable (30-XX) 22 Information and communication theory, circuits (94-XX) 21 Biology and other natural sciences (92-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Differential geometry (53-XX) 14 Difference and functional equations (39-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Integral transforms, operational calculus (44-XX) 12 Abstract harmonic analysis (43-XX) 12 Integral equations (45-XX) 12 Quantum theory (81-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Number theory (11-XX) 7 Topological groups, Lie groups (22-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Potential theory (31-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Measure and integration (28-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 441 Publications have been cited 4,273 times in 3,700 Documents Cited by ▼ Year ▼ Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378Bressan, Alberto; Constantin, Adrian 327 2007 Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379Cohen, Albert; DeVore, Ronald; Schwab, Christoph 158 2011 Estimating the approximation error in learning theory. Zbl 1079.68089Smale, Steve; Zhou, Ding-Xuan 103 2003 Online learning with Markov sampling. Zbl 1170.68022Smale, Steve; Zhou, Ding-Xuan 75 2009 The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012Ukai, Seiji; Yang, Tong 73 2006 Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233Mhaskar, H. N.; Poggio, T. 61 2016 Interior error estimate for periodic homogenization. Zbl 1098.35016Griso, Georges 55 2006 Stationary waves of Schrödinger-type equations with variable exponent. Zbl 1331.35139Repovš, Dušan 52 2015 Deep distributed convolutional neural networks: universality. Zbl 1442.68214Zhou, Ding-Xuan 51 2018 The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 47 2011 Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309Schwab, Christoph; Zech, Jakob 46 2019 A bifurcation result for non-local fractional equations. Zbl 1328.35280Molica Bisci, Giovanni; Servadei, Raffaella 43 2015 Gauge theory and wild ramification. Zbl 1177.81101Witten, Edward 43 2008 Green’s function and large time behavior of the Navier-Stokes-Maxwell system. Zbl 1241.35145Duan, Renjun 43 2012 The radius of convexity of normalized Bessel functions of the first kind. Zbl 1302.33003Baricz, Árpád; Szász, Róbert 41 2014 On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu 39 2014 Cross-validation based adaptation for regularization operators in learning theory. Zbl 1209.68405Caponnetto, Andrea; Yao, Yuan 39 2010 Homogenization of two heat conductors with an interfacial contact resistance. Zbl 1083.35014Donato, Patrizia; Monsurrò, Sara 39 2004 Regularization schemes for minimum error entropy principle. Zbl 1329.68216Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan 39 2015 Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem. Zbl 1116.46019Carmeli, Claudio; De Vito, Ernesto; Toigo, Alessandro 36 2006 Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047Mortici, Cristinel 35 2010 Deep ReLU networks and high-order finite element methods. Zbl 1452.65354Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph 34 2020 Transmutation operators and Paley-Wiener theorem associated with a singular differential-difference operator on the real line. Zbl 1140.42302Mourou, Mohamed A.; Trimèche, Khalifa 33 2003 Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp 32 2020 Positivity of the intertwining operator and harmonic analysis associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1056.43003Chouchane, F.; Mili, M.; Trimèche, K. 31 2003 Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan 31 2017 Uniform asymptotic expansions for hypergeometric functions with large parameters. III. Zbl 1190.33002Olde Daalhuis, A. B. 30 2010 Real-variable characterizations of Orlicz-slice Hardy spaces. Zbl 1423.42042Zhang, Yangyang; Yang, Dachun; Yuan, Wen; Wang, Songbai 29 2019 Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464Ukai, Seiji; Yang, Tong; Zhao, Huijiang 28 2005 Resonant \((p,2)\)-equations with asymmetric reaction. Zbl 1327.35125Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D. 27 2015 A high accuracy Leray-deconvolution model of turbulence and its limiting behavior. Zbl 1210.76084Layton, William; Lewandowski, Roger 26 2008 Weyl transforms associated with the spherical mean operator. Zbl 1045.47038Rachdi, L. T.; Triméche, K. 25 2003 Asymptotic behavior of structures made of curved rods. Zbl 1210.74121Griso, Georges 25 2008 Vector valued reproducing kernel Hilbert spaces and universality. Zbl 1195.46025Carmeli, C.; de Vito, E.; Toigo, A.; Umanità, V. 24 2010 Emergence of bi-cluster flocking for agent-based models with unit speed constraint. Zbl 1346.34031Cho, Junghee; Ha, Seung-Yeal; Huang, Feimin; Jin, Chunyin; Ko, Dongnam 24 2016 Complex interpolation on Besov-type and Triebel-Lizorkin-type spaces. Zbl 1294.46020Yang, Dachun; Yuan, Wen; Zhuo, Ciqiang 24 2013 Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali 24 2009 Highly oscillating boundaries and reduction of dimension: the critical case. Zbl 1121.35012Blanchard, Dominique; Gaudiello, Antonio; Mossino, Jacqueline 24 2007 Asymptotic behavior of structures made of plates. Zbl 1111.74029Griso, Georges 22 2005 Existence result for nonlinear parabolic equations with lower order terms. Zbl 1225.35134Di Nardo, Rosaria; Feo, Filomena; Guibé, Olivier 21 2011 A justification of the Reissner-Mindlin plate theory through variational convergence. Zbl 1109.74031Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe 21 2007 Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation. Zbl 1311.35141Kawashima, Shuichi; Wang, Yu-Zhu 20 2015 Spectral properties of operators using tridiagonalization. Zbl 1248.33019Ismail, Mourad E. H.; Koelink, Erik 20 2012 Infinitely many solutions for the Dirichlet problem on the Sierpinski gasket. Zbl 1229.35049Breckner, Brigitte E.; Rădulescu, Vicenţiu D.; Varga, Csaba 20 2011 Real-variable characterizations of Hardy spaces associated with Bessel operators. Zbl 1227.42021Yang, Dachun; Yang, Dongyong 20 2011 Convergence rates of kernel conjugate gradient for random design regression. Zbl 1349.62125Blanchard, Gilles; Krämer, Nicole 19 2016 Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059Hoang, V. H.; Schwab, CH. 19 2013 Biological transportation networks: modeling and simulation. Zbl 1329.35313Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A. 19 2016 Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G. 19 2005 Existence of boundary layer solutions to the Boltzmann equation. Zbl 1172.35358Chen, Chiun-Chuan; Liu, Tai-Ping; Yang, Tong 19 2004 Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 19 2013 Multivariate sampling-type approximation. Zbl 1366.41020Krivoshein, A.; Skopina, M. 19 2017 Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080Xin, Zhouping; Yin, Huicheng 19 2006 Temporally global solution to the equations for a spherically symmetric viscous radiative and reactive gas over the rigid core. Zbl 1151.35107Umehara, Morimichi; Tani, Atusi 18 2008 Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes. Zbl 1459.47019Toft, Joachim 18 2017 Non-uniform bound and finite time blow up for solutions to a drift-diffusion equation in higher dimensions. Zbl 1331.35157Ogawa, Takayoshi; Wakui, Hiroshi 17 2016 Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems. Zbl 1456.82804Reisinger, Christoph; Zhang, Yufei 17 2020 Learning rates for regularized least squares ranking algorithm. Zbl 1420.68182Zhao, Yulong; Fan, Jun; Shi, Lei 16 2017 Global classical solutions to the 3D Navier-Stokes-Korteweg equations with small initial energy. Zbl 1375.76043Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang 16 2018 Flocking and non-flocking behavior in a stochastic Cucker-Smale system. Zbl 1291.60124Ton, Ta Viet; Linh, Nguyen Thi Hoai; Yagi, Atsushi 16 2014 Discretization error analysis for Tikhonov regularization. Zbl 1088.65056De Vito, Ernesto; Rosasco, Lorenzo; Caponnetto, Andrea 16 2006 Stochastic solutions of the two-dimensional primitive equations of the ocean and atmosphere with an additive noise. Zbl 1126.35040Ewald, B.; Petcu, M.; Temam, R. 16 2007 On the equivalence of two fundamental theta identities. Zbl 1379.11049Koornwinder, Tom H. 15 2014 Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007Ciarlet, Philippe G.; Mardare, Christinel 15 2005 On isometric immersions of a Riemannian space with little regularity. Zbl 1087.53031Mardare, Sorin 15 2004 Inequalities involving gamma and psi functions. Zbl 1042.33002Clark, W. Edwin; Ismail, Mourad E. H. 15 2003 Blow-up solutions of the two-dimensional heat equation due to a localized moving source. Zbl 1086.35006Kirk, C. M.; Olmstead, W. E. 15 2005 Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene 15 2015 From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight. Zbl 1405.35134Briant, Marc; Merino-Aceituno, Sara; Mouhot, Clément 15 2019 Generalized sampling: from shift-invariant to U-invariant spaces. Zbl 1311.42078Fernández-Morales, H. R.; García, A. G.; Hernández-Medina, M. A.; Muñoz-Bouzo, M. J. 14 2015 Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077Christmann, Andreas; Zhou, Ding-Xuan 14 2016 Real-time dynamics acquisition from irregular samples - with application to anesthesia evaluation. Zbl 1382.94028Chui, Charles K.; Lin, Yu-Ting; Wu, Hau-Tieng 14 2016 An analogue of Cowling-Price’s theorem and Hardy’s theorem for the generalized Fourier transform associated with the spherical mean operator. Zbl 1129.42004Chettaoui, C.; Othmani, Y.; Trimèche, K. 14 2004 Online regression with varying Gaussians and non-identical distributions. Zbl 1253.68189Hu, Ting 14 2011 Modeling of a membrane for nonlinearly elastic incompressible materials via gamma-convergence. Zbl 1086.74025Trabelsi, Karim 14 2006 Continuity of Calderón-Zygmund operators on Besov or Triebel-Lizorkin spaces. Zbl 1268.42026Meyer, Y.; Yang, Q. X. 14 2008 Functions of the infinitesimal generator of a strongly continuous quaternionic group. Zbl 1370.47015Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P. 14 2017 Classes of functions with improved estimates in approximation by the max-product Bernstein operator. Zbl 1226.41007Coroianu, Lucian; Gal, Sorin G. 14 2011 Error bounds for learning the kernel. Zbl 1392.68357Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan 13 2016 Solution to system of partial fractional differential equations using the \(\mathcal L_2\)-transform. Zbl 1208.26013Aghili, A.; Ansari, A. 13 2011 Regularized learning schemes in feature Banach spaces. Zbl 1378.62015Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia 13 2018 Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. Zbl 1366.46022Jiang, Renjin; Xiao, Jie; Yang, Dachun 13 2016 Uniform asymptotic expansions for hypergeometric functions with large parameters. IV. Zbl 1300.33007Khwaja, S. Farid; Daalhuis, A. B. Olde 13 2014 Inverse scattering for a random potential. Zbl 1430.81081Caro, Pedro; Helin, Tapio; Lassas, Matti 13 2019 Asymptotics of orthogonal polynomials via recurrence relations. Zbl 1242.41035Wang, X.-S.; Wong, R. 13 2012 Weighted maximal estimates along curve associated with dispersive equations. Zbl 1362.42027Ding, Yong; Niu, Yaoming 13 2017 Blocking strategies for a fire control problem. Zbl 1160.49043Bressan, Alberto; Burago, Maria; Friend, Arthur; Jou, Jessica 13 2008 Random sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1417.42045Yang, Jianbin 13 2019 Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan 13 2019 Existence theorems for fractional \(p\)-Laplacian problems. Zbl 1371.35330Piersanti, Paolo; Pucci, Patrizia 12 2017 On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space. Zbl 1383.46027Hewett, D. P.; Moiola, A. 12 2017 The Riemann-Hilbert approach to global asymptotics of discrete orthogonal polynomials with infinite nodes. Zbl 1200.42014Ou, Chunhua; Wong, R. 12 2010 Uniform asymptotic expansions for hypergeometric functions with large parameters. II. Zbl 1048.33005Olde Daalhuis, A. B. 12 2003 Decomposition of deformations of thin rods. Application to nonlinear elasticity. Zbl 1165.74027Blanchard, Dominique; Griso, Georges 12 2009 Indefinite kernel network with dependent sampling. Zbl 1281.68194Sun, Hongwei; Wu, Qiang 12 2013 \(L^{\infty }\)-estimates for divergence operators on bad domains. Zbl 1242.35069ter Elst, A. F. M.; Rehberg, Joachim 12 2012 Eigenvalue problems associated with nonhomogeneous differential operators in Orlizc-Sobolev spaces. Zbl 1159.35051Mihăilescu, Mihai; Rădulescu, Vicenţiu 12 2008 Singular perturbation analysis on a homogeneous ocean circulation model. Zbl 1229.76091Jung, Chang-Yeol; Petcu, Madalina; Temam, Roger 12 2011 On the connection formulas of the fourth Painlevé transcendent. Zbl 1182.33034Wong, R.; Zhang, H. Y. 12 2009 Transmutation operators and Paley-Wiener theorem associated with a Cherednik type operator on the real line. Zbl 1200.42003Mourou, Mohamed Ali 11 2010 Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces. Zbl 1518.42015Huang, Long; Weisz, Ferenc; Yang, Dachun; Yuan, Wen 4 2023 Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials. Zbl 1507.42015Almeida, Víctor; Betancor, Jorge J.; Rodríguez-Mesa, Lourdes 2 2023 On the regularity of multilinear Schrödinger integral operators. Zbl 1511.35110Bergfeldt, Aksel; Staubach, Wolfgang 2 2023 Gabor frame characterizations of generalized modulation spaces. Zbl 1519.42034Debrouwere, Andreas; Prangoski, Bojan 2 2023 Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting. Zbl 1515.30109De Martino, Antonino; Diki, Kamal 2 2023 Approximating functions with multi-features by deep convolutional neural networks. Zbl 07652562Mao, Tong; Shi, Zhongjie; Zhou, Ding-Xuan 1 2023 Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise. Zbl 1512.35113Xu, Jiaohui; Caraballo, Tomás 1 2023 On the hemispherical transform in the half-space and related Radon transforms. Zbl 07721450Rubin, B. 1 2023 Reproducing kernels of Sobolev-Slobodecki\u{j} spaces via Green’s kernel approach: theory and applications. Zbl 07721453Mohebalizadeh, Hamed; Fasshauer, Gregory E.; Adibi, Hojatollah 1 2023 Mixed-norm Herz spaces and their applications in related Hardy spaces. Zbl 07735743Zhao, Yirui; Yang, Dachun; Zhang, Yangyang 1 2023 Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting. Zbl 07735747Jäger, Willi; Tambue, Antoine; Woukeng, Jean Louis 1 2023 Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Zbl 1484.92013Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin 9 2022 On the global \(L^{\infty}\to\mathrm{BMO}\) mapping property for Fourier integral operators. Zbl 1487.42042Wang, Guangqing; Chen, Wenyi; Yang, Jie 3 2022 Boundedness and compactness of commutators associated with Lipschitz functions. Zbl 1485.42025Guo, Weichao; He, Jianxun; Wu, Huoxiong; Yang, Dongyong 3 2022 A new elliptic mixed boundary value problem with \((p,q)\)-Laplacian and Clarke subdifferential: existence, comparison and convergence results. Zbl 1492.35135Zeng, Shengda; Migórski, Stanisław; Tarzia, Domingo A. 3 2022 Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization. Zbl 1498.46043Du, Qiang; Mengesha, Tadele; Tian, Xiaochuan 3 2022 Neural network interpolation operators activated by smooth ramp functions. Zbl 1494.41007Qian, Yunyou; Yu, Dansheng 2 2022 Sobolev meets Besov: regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values. Zbl 1494.35057Schneider, Cornelia; Szemenyei, Flóra O. 2 2022 Fourier-Bessel series of compactly supported convolutions on disks. Zbl 07528660Farashahi, Arash Ghaani; Chirikjian, Gregory S. 2 2022 A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case. Zbl 1501.35224Piersanti, Paolo; White, Kristen; Dragnea, Bogdan; Temam, Roger 2 2022 Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property. Zbl 1507.43001Feichtinger, Hans G. 2 2022 Operator-valued positive definite kernels and differentiable universality. Zbl 1491.42006Guella, J. C. 1 2022 Sparse representation of approximation to identity. Zbl 1514.41005Qu, Wei; Chui, Charles K.; Deng, Guan-Tie; Qian, Tao 1 2022 A new binary representation method for shape convexity and application to image segmentation. Zbl 1492.65052Luo, Shousheng; Tai, Xue-Cheng; Wang, Yang 1 2022 Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients. Zbl 1503.41008Derevianko, Nadiia; Plonka, Gerlind 1 2022 Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum. Zbl 1490.76251Zhong, Xin 1 2022 A machine learning approach to optimal Tikhonov regularization. I: Affine manifolds. Zbl 1493.62438De Vito, Ernesto; Fornasier, Massimo; Naumova, Valeriya 1 2022 Topological states and continuum model for swarmalators without force reciprocity. Zbl 1501.35113Degond, Pierre; Diez, Antoine; Walczak, Adam 1 2022 Approximation by max-product sampling Kantorovich operators with generalized kernels. Zbl 1464.41004Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca 8 2021 Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds. Zbl 1479.35006Fetecau, Razvan C.; Park, Hansol; Patacchini, Francesco S. 7 2021 Optimal learning with Gaussians and correntropy loss. Zbl 1462.68159Lv, Fusheng; Fan, Jun 7 2021 Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces. Zbl 1478.46021De Vito, Ernesto; Mücke, Nicole; Rosasco, Lorenzo 6 2021 A regularized convolutional neural network for semantic image segmentation. Zbl 1462.68211Jia, Fan; Liu, Jun; Tai, Xue-Cheng 5 2021 Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density. Zbl 1460.35302Zhong, Xin 5 2021 On Cucker-Smale dynamical systems with degenerate communication. Zbl 1471.92398Dietert, Helge; Shvydkoy, Roman 5 2021 Asymptotics of solutions to a fifth-order modified Korteweg-de Vries equation in the quarter plane. Zbl 1479.35744Liu, Nan; Guo, Boling 5 2021 A new theory of fractional differential calculus. Zbl 1479.26007Feng, Xiaobing; Sutton, Mitchell 5 2021 A simultaneous decomposition for three quaternion tensors with applications in color video signal processing. Zbl 1467.15019He, Zhuo-Heng; Chen, Chen; Wang, Xiang-Xiang 5 2021 On the global operator and Fueter mapping theorem for slice polyanalytic functions. Zbl 1482.30116Alpay, Daniel; Diki, Kamal; Sabadini, Irene 4 2021 An existence result for a class of electrothermal drift-diffusion models with Gauss-Fermi statistics for organic semiconductors. Zbl 1460.35127Glitzky, Annegret; Liero, Matthias; Nika, Grigor 4 2021 Neural ODEs as the deep limit of ResNets with constant weights. Zbl 07362267Avelin, Benny; Nyström, Kaj 4 2021 Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials. Zbl 1484.35242Badiale, Marino; Guida, Michela; Rolando, Sergio 3 2021 Analytical expressions of copositivity for fourth-order symmetric tensors. Zbl 07421751Song, Yisheng; Qi, Liqun 3 2021 Distributions of anisotropic order and applications to H-distributions. Zbl 1477.42010Antonić, Nenad; Erceg, Marko; Mišur, Marin 3 2021 Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform. Zbl 1472.42043Cai, Haiyan; Jiang, Qingtang; Li, Lin; Suter, Bruce W. 3 2021 Generalized representer theorems in Banach spaces. Zbl 1462.68156Huang, Liren; Liu, Chunguang; Tan, Lulin; Ye, Qi 3 2021 Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node. Zbl 1476.35023Mel’nyk, Taras 2 2021 High-order low-bit Sigma-Delta quantization for fusion frames. Zbl 1512.94021Gao, Zhen; Krahmer, Felix; Powell, Alexander M. 2 2021 Minimum norm interpolation in the \(\ell_1(\mathbb{N})\) space. Zbl 1462.41001Cheng, Raymond; Xu, Yuesheng 2 2021 Algorithmic versatility of SPF-regularization methods. Zbl 1512.94007Shen, Lixin; Suter, Bruce W.; Tripp, Erin E. 2 2021 Simplified error bounds for turning point expansions. Zbl 1491.34101Dunster, T. M.; Gil, A.; Segura, J. 2 2021 Data informed solution estimation for forward-backward stochastic differential equations. Zbl 1475.60100Bao, Feng; Cao, Yanzhao; Yong, Jiongmin 2 2021 A new sufficient condition for sparse vector recovery via \(\ell_1\)-\( \ell_2\) local minimization. Zbl 1492.94029Bi, Ning; Tan, Jun; Tang, Wai-Shing 1 2021 Asymptotic expansions for Wiener-Hopf equations. Zbl 1497.41028Li, Kui; Wong, Roderick 1 2021 Approximation of the Mumford-Shah functional by phase fields of bounded variation. Zbl 1460.49009Belz, Sandro; Bredies, Kristian 1 2021 Emergence of mono-cluster flocking in the thermomechanical Cucker-Smale model under switching topologies. Zbl 1461.93230Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon 1 2021 Asymptotics of the Charlier polynomials via difference equation methods. Zbl 1487.41040Huang, Xiao-Min; Lin, Yu; Zhao, Yu-Qiu 1 2021 Deep ReLU networks and high-order finite element methods. Zbl 1452.65354Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph 34 2020 Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp 32 2020 Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems. Zbl 1456.82804Reisinger, Christoph; Zhang, Yufei 17 2020 Wellposedness and regularity of a variable-order space-time fractional diffusion equation. Zbl 1442.35575Zheng, Xiangcheng; Wang, Hong 10 2020 Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators. Zbl 1442.35573Abdeljawad, Ahmed; Coriasco, Sandro; Toft, Joachim 8 2020 Linear perturbations of the Wigner distribution and the Cohen class. Zbl 1437.42005Cordero, Elena; Trapasso, S. Ivan 8 2020 Three-fold symmetric Hahn-classical multiple orthogonal polynomials. Zbl 1435.33011Loureiro, Ana F.; Van Assche, Walter 7 2020 Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. Zbl 1439.35392Chipot, Michel; Droniou, Jérôme; Planas, Gabriela; Robinson, James C.; Xue, Wei 6 2020 Asymptotic behaviors for nonlocal diffusion equations about the dispersal spread. Zbl 1447.35235Su, Yuan-Hang; Li, Wan-Tong; Yang, Fei-Ying 6 2020 On the \(K\)-functional in learning theory. Zbl 1434.68452Sheng, Bao-Huai; Wang, Jian-Li 5 2020 Online regularized pairwise learning with least squares loss. Zbl 1435.68284Wang, Cheng; Hu, Ting 4 2020 The Littlewood-Paley decomposition for periodic functions and applications to the Boussinesq equations. Zbl 1444.42023Dai, Yichen; Hu, Weiwei; Wu, Jiahong; Xiao, Bei 4 2020 The Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces. Zbl 1434.35171Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao 4 2020 Jointly low-rank and bisparse recovery: questions and partial answers. Zbl 1434.65050Foucart, Simon; Gribonval, Rémi; Jacques, Laurent; Rauhut, Holger 3 2020 Performance analysis of the LapRSSLG algorithm in learning theory. Zbl 1432.68399Sheng, Baohuai; Zhang, Haizhang 3 2020 PhaseMax: stable guarantees from noisy sub-Gaussian measurements. Zbl 1492.94032Li, Huiping; Li, Song; Xia, Yu 3 2020 Stability and optimization error of stochastic gradient descent for pairwise learning. Zbl 1490.68191Shen, Wei; Yang, Zhenhuan; Ying, Yiming; Yuan, Xiaoming 3 2020 Mathematical modeling and qualitative analysis of viscoelastic conductive fluids. Zbl 1451.76008Tan, Zhong; Wang, Yong; Wu, Wenpei 3 2020 Convergence analysis of distributed multi-penalty regularized pairwise learning. Zbl 1435.68262Hu, Ting; Fan, Jun; Xiang, Dao-Hong 2 2020 Generalized support vector regression: duality and tensor-kernel representation. Zbl 1441.62101Salzo, Saverio; Suykens, Johan A. K. 2 2020 Solutions of the Al-Salam-Chihara and allied moment problems. Zbl 1432.33017Ismail, Mourad E. H. 2 2020 Kernel regression, minimax rates and effective dimensionality: beyond the regular case. Zbl 1443.62091Blanchard, Gilles; Mücke, Nicole 2 2020 Robust recovery of signals with partially known support information using weighted BPDN. Zbl 1458.94141Wang, Wendong; Wang, Jianjun 2 2020 Large deviation rates for Markov branching processes. Zbl 1434.60244Li, Junping; Cheng, Lan; Pakes, Anthony G.; Chen, Anyue; Li, Liuyan 2 2020 A self-adaptive regularized alternating least squares method for tensor decomposition problems. Zbl 1432.90125Mao, Xianpeng; Yuan, Gonglin; Yang, Yuning 1 2020 Asymptotics of the Wilson polynomials. Zbl 1435.33010Li, Yu-Tian; Wang, Xiang-Sheng; Wong, Roderick 1 2020 Superposition, reduction of multivariable problems, and approximation. Zbl 07272156Jorgensen, Palle E. T.; Tian, James F. 1 2020 Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309Schwab, Christoph; Zech, Jakob 46 2019 Real-variable characterizations of Orlicz-slice Hardy spaces. Zbl 1423.42042Zhang, Yangyang; Yang, Dachun; Yuan, Wen; Wang, Songbai 29 2019 From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight. Zbl 1405.35134Briant, Marc; Merino-Aceituno, Sara; Mouhot, Clément 15 2019 Inverse scattering for a random potential. Zbl 1430.81081Caro, Pedro; Helin, Tapio; Lassas, Matti 13 2019 Random sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1417.42045Yang, Jianbin 13 2019 Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan 13 2019 Existence of ground states for aggregation-diffusion equations. Zbl 1433.35417Carrillo, J. A.; Delgadino, M. G.; Patacchini, F. S. 11 2019 Besov regularity of parabolic and hyperbolic PDEs. Zbl 1420.35055Dahlke, Stephan; Schneider, Cornelia 9 2019 Online minimum error entropy algorithm with unbounded sampling. Zbl 1410.68327Wang, Cheng; Hu, Ting 8 2019 Regularized Nyström subsampling in regression and ranking problems under general smoothness assumptions. Zbl 1416.68145Myleiko, G. L.; Pereverzyev, S. jun.; Solodky, S. G. 6 2019 Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise. Zbl 1417.37269Yuan, Shenglan; Hu, Jianyu; Liu, Xianming; Duan, Jinqiao 6 2019 Existence of solution for a class of quasilinear elliptic problem without \(\Delta_2\)-condition. Zbl 1421.35126Alves, Claudianor O.; Silva, Edcarlos D.; Pimenta, Marcos T. O. 5 2019 Distributed learning with indefinite kernels. Zbl 1440.68238Shi, Lei 5 2019 Reconstruction of stationary and non-stationary signals by the generalized Prony method. Zbl 1422.94015Plonka, Gerlind; Stampfer, Kilian; Keller, Ingeborg 4 2019 Analysis of regularized Nyström subsampling for regression functions of low smoothness. Zbl 1440.68250Lu, Shuai; Mathé, Peter; Pereverzyev Jr., Sergiy 4 2019 A polyconvex extension of the logarithmic Hencky strain energy. Zbl 1416.74018Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio 3 2019 ...and 341 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,172 Authors 61 Yin, Zhaoyang 58 Zhou, Dingxuan 42 Ciarlet, Philippe Gaston 42 Schwab, Christoph 40 Ha, Seung-Yeal 37 Yang, Dachun 36 Rădulescu, Vicenţiu D. 31 Yang, Tong 30 Mardare, Cristinel 28 Mejjaoli, Hatem 26 Duan, Renjun 23 Yuan, Wen 22 Griso, Georges 21 Mi, Yongsheng 21 Molica Bisci, Giovanni 21 Papageorgiou, Nikolaos S. 20 Mu, Chunlai 19 Wu, Qiang 18 Cohen, Albert 18 Hu, Ting 18 Liu, Yue 18 López, José Luis 18 Mortici, Cristinel 18 Temam, Roger Meyer 17 Costarelli, Danilo 17 Guo, Zheng-Chu 17 Repovš, Dušan D. 17 Shi, Lei 17 Zhao, Yuqiu 16 Baricz, Árpád 16 Guo, Boling 16 Suslina, Tat’yana Aleksandrovna 16 Vinti, Gianluca 16 Xiang, Dao-Hong 15 Heidarkhani, Shapour 15 Sheng, Baohuai 15 Sun, Hongwei 14 Jørgensen, Palle E. T. 14 Mai Duc Thanh 14 Nobile, Fabio 14 Wong, Roderick Sue-Chuen 13 Bressan, Alberto 13 Colombo, Fabrizio 13 Fan, Jishan 13 Hoang, Viet Ha 13 Lin, Shaobo 13 Ogawa, Takayoshi 13 Rosasco, Lorenzo A. 13 Yang, Xiongfeng 12 Afrouzi, Ghasem Alizadeh 12 García, Antonio G. 12 Jung, Changyeol 12 Pagola, Pedro J. 12 Toft, Joachim 12 Yu, Hongjun 11 Ansari, Alireza 11 Cordero, Elena 11 Eigel, Martin 11 Gal, Sorin Gheorghe 11 Guan, Chunxia 11 Qiao, Zhijun 11 Trimèche, Khalifa 11 Wang, Yuzhu 11 Webster, Clayton G. 11 Xu, Shuaixia 11 Xu, Zongben 11 Zhao, Huijiang 10 Alves, Claudianor Oliveira 10 Coroianu, Lucian C. 10 Griebel, Michael 10 Grunert, Katrin 10 Ismail, Mourad El-Houssieny 10 Lai, Shaoyong 10 Mikhailov, Sergey E. 10 Schneider, Reinhold 10 Yang, Shaojie 10 Zhang, Binlin 10 Zhang, Yangyang 10 Zhu, Min 10 Zhu, Mingxuan 10 Zou, Bin 9 DeVore, Ronald A. 9 Donato, Patrizia 9 Feng, Yunlong 9 Gantner, Jonathan 9 Hong, Youngjoon 9 Jentzen, Arnulf 9 Jiang, Zaihong 9 Kim, Doheon 9 Li, Jinlu 9 Liu, Shuangqian 9 Lu, Dawei 9 Lv, Shaogao 9 Morimoto, Yoshinori 9 Petersen, Philipp Christian 9 Qu, Changzheng 9 Rebholz, Leo G. 9 Tambača, Josip 9 Tempone, Raúl F. 9 Velčić, Igor ...and 4,072 more Authors all top 5 Cited in 491 Journals 144 Analysis and Applications (Singapore) 137 Journal of Differential Equations 131 Journal of Mathematical Analysis and Applications 73 Journal of Mathematical Physics 71 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 60 Applicable Analysis 50 SIAM Journal on Mathematical Analysis 50 Applied and Computational Harmonic Analysis 47 Discrete and Continuous Dynamical Systems 42 Archive for Rational Mechanics and Analysis 42 Nonlinear Analysis. Real World Applications 40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 39 ZAMP. Zeitschrift für angewandte Mathematik und Physik 39 Comptes Rendus. Mathématique. Académie des Sciences, Paris 38 Applied Mathematics and Computation 38 Journal of Approximation Theory 37 Communications on Pure and Applied Analysis 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 Abstract and Applied Analysis 34 Complex Variables and Elliptic Equations 33 Communications in Mathematical Physics 33 Results in Mathematics 31 Computers & Mathematics with Applications 30 Journal of Computational and Applied Mathematics 30 Boundary Value Problems 28 Journal of Functional Analysis 28 Proceedings of the American Mathematical Society 28 Advances in Computational Mathematics 28 Mediterranean Journal of Mathematics 27 Journal of High Energy Physics 26 Constructive Approximation 26 Applied Mathematics Letters 26 Integral Transforms and Special Functions 26 Kinetic and Related Models 26 Science China. Mathematics 25 Calculus of Variations and Partial Differential Equations 25 Journal of Machine Learning Research (JMLR) 24 Mathematical Methods in the Applied Sciences 24 Monatshefte für Mathematik 23 Journal of Complexity 23 Journal of Elasticity 23 Journal of Mathematical Fluid Mechanics 23 SIAM/ASA Journal on Uncertainty Quantification 22 Neural Networks 21 Computer Methods in Applied Mechanics and Engineering 21 SIAM Journal on Numerical Analysis 20 Advances in Nonlinear Analysis 19 Journal of Statistical Physics 19 Chinese Annals of Mathematics. Series B 19 Journal of Scientific Computing 19 The Journal of Fourier Analysis and Applications 19 Foundations of Computational Mathematics 19 Discrete and Continuous Dynamical Systems. Series B 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Inverse Problems 18 Journal of Computational Physics 18 Acta Mathematica Scientia. Series B. (English Edition) 18 International Journal of Wavelets, Multiresolution and Information Processing 17 Nonlinearity 17 Numerische Mathematik 17 Journal of Inequalities and Applications 17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Journal of Pseudo-Differential Operators and Applications 15 Quarterly of Applied Mathematics 15 Physica D 15 SIAM Journal on Scientific Computing 15 Mathematics and Mechanics of Solids 15 The Ramanujan Journal 15 Complex Analysis and Operator Theory 15 Discrete and Continuous Dynamical Systems. Series S 15 Analysis and Mathematical Physics 14 Mathematische Nachrichten 14 Numerical Functional Analysis and Optimization 14 Acta Applicandae Mathematicae 14 The Journal of Geometric Analysis 14 Acta Mathematica Sinica. English Series 14 Journal of Evolution Equations 13 Mathematics of Computation 13 Advances in Difference Equations 12 Advances in Mathematics 12 Applied Mathematics and Optimization 12 Journal of Nonlinear Science 12 Communications in Nonlinear Science and Numerical Simulation 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Frontiers of Mathematics in China 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Neural Computation 11 Communications in Partial Differential Equations 11 International Journal of Computer Mathematics 11 Journal of Mathematical Sciences (New York) 11 Electronic Journal of Differential Equations (EJDE) 11 Journal of Hyperbolic Differential Equations 11 Mathematical Foundations of Computing 10 The Annals of Statistics 10 Automatica 10 Studies in Applied Mathematics 10 Applied Mathematical Modelling 10 Journal of Dynamics and Differential Equations 10 NoDEA. Nonlinear Differential Equations and Applications ...and 391 more Journals all top 5 Cited in 61 Fields 1,790 Partial differential equations (35-XX) 526 Fluid mechanics (76-XX) 489 Numerical analysis (65-XX) 418 Computer science (68-XX) 417 Harmonic analysis on Euclidean spaces (42-XX) 342 Approximations and expansions (41-XX) 312 Functional analysis (46-XX) 276 Special functions (33-XX) 274 Operator theory (47-XX) 251 Statistics (62-XX) 245 Mechanics of deformable solids (74-XX) 233 Ordinary differential equations (34-XX) 202 Probability theory and stochastic processes (60-XX) 156 Statistical mechanics, structure of matter (82-XX) 129 Dynamical systems and ergodic theory (37-XX) 127 Biology and other natural sciences (92-XX) 120 Calculus of variations and optimal control; optimization (49-XX) 118 Functions of a complex variable (30-XX) 109 Information and communication theory, circuits (94-XX) 104 Real functions (26-XX) 94 Quantum theory (81-XX) 84 Global analysis, analysis on manifolds (58-XX) 79 Differential geometry (53-XX) 73 Integral transforms, operational calculus (44-XX) 73 Operations research, mathematical programming (90-XX) 67 Systems theory; control (93-XX) 62 Integral equations (45-XX) 55 Abstract harmonic analysis (43-XX) 47 Optics, electromagnetic theory (78-XX) 45 Difference and functional equations (39-XX) 43 Number theory (11-XX) 37 Measure and integration (28-XX) 37 Geophysics (86-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 35 Classical thermodynamics, heat transfer (80-XX) 34 Mechanics of particles and systems (70-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Combinatorics (05-XX) 22 Relativity and gravitational theory (83-XX) 21 Topological groups, Lie groups (22-XX) 21 Potential theory (31-XX) 20 Algebraic geometry (14-XX) 20 Sequences, series, summability (40-XX) 13 Several complex variables and analytic spaces (32-XX) 11 Nonassociative rings and algebras (17-XX) 10 Associative rings and algebras (16-XX) 7 Group theory and generalizations (20-XX) 7 Manifolds and cell complexes (57-XX) 6 Geometry (51-XX) 5 General and overarching topics; collections (00-XX) 5 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Mathematics education (97-XX) Citations by Year