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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: 596 Publications (since 2003)
References Indexed: 593 Publications with 16,194 References.
all top 5

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...and 6 more Volumes
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Authors

13 Wong, Roderick Sue-Chuen
11 Zhou, Dingxuan
10 Ismail, Mourad El-Houssieny
9 Ciarlet, Philippe Gaston
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 Alves, Claudianor Oliveira
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, Stephen
4 Toft, Joachim
4 Trimèche, Khalifa
4 Volkmer, Hans W.
4 Yuan, Wen
4 Zhang, Haizhang
3 Alpay, Daniel Aron
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 Trabelsi, Karim L.
3 Ukai, Seiji
3 Vallee, Claude
3 Xiang, Dao-Hong
3 Yang, Dongyong
3 Ying, Yiming
3 Zhong, Xin
2 Abdeljawad, Ahmed
2 Ambrosio, Vincenzo
2 Amrouche, Chérif
2 Belleni-Morante, Aldo
2 Betancor Perez, Jorge Juan
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’, 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
...and 887 more Authors
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Fields

232 Partial differential equations (35-XX)
78 Approximations and expansions (41-XX)
76 Harmonic analysis on Euclidean spaces (42-XX)
73 Computer science (68-XX)
69 Special functions (33-XX)
65 Ordinary differential equations (34-XX)
65 Fluid mechanics (76-XX)
63 Functional analysis (46-XX)
59 Operator theory (47-XX)
58 Numerical analysis (65-XX)
47 Mechanics of deformable solids (74-XX)
41 Statistics (62-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
26 Probability theory and stochastic processes (60-XX)
23 Functions of a complex variable (30-XX)
23 Operations research, mathematical programming (90-XX)
22 Biology and other natural sciences (92-XX)
22 Information and communication theory, circuits (94-XX)
21 Real functions (26-XX)
19 Global analysis, analysis on manifolds (58-XX)
18 Statistical mechanics, structure of matter (82-XX)
17 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 Combinatorics (05-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 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

Citations contained in zbMATH Open

462 Publications have been cited 4,809 times in 4,136 Documents Cited by Year
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
Bressan, Alberto; Constantin, Adrian
345
2007
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
173
2011
Estimating the approximation error in learning theory. Zbl 1079.68089
Smale, Steve; Zhou, Ding-Xuan
110
2003
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
77
2009
The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012
Ukai, Seiji; Yang, Tong
75
2006
Deep vs. shallow networks: an approximation theory perspective. Zbl 1355.68233
Mhaskar, H. N.; Poggio, T.
71
2016
Deep distributed convolutional neural networks: universality. Zbl 1442.68214
Zhou, Ding-Xuan
65
2018
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
62
2019
Stationary waves of Schrödinger-type equations with variable exponent. Zbl 1331.35139
Repovš, Dušan
59
2015
Interior error estimate for periodic homogenization. Zbl 1098.35016
Griso, Georges
58
2006
The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
53
2011
Homogenization of two heat conductors with an interfacial contact resistance. Zbl 1083.35014
Donato, Patrizia; Monsurrò, Sara
47
2004
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
47
2014
Green’s function and large time behavior of the Navier-Stokes-Maxwell system. Zbl 1241.35145
Duan, Renjun
47
2012
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
46
2020
The radius of convexity of normalized Bessel functions of the first kind. Zbl 1302.33003
Baricz, Árpád; Szász, Róbert
44
2014
Gauge theory and wild ramification. Zbl 1177.81101
Witten, Edward
44
2008
Regularization schemes for minimum error entropy principle. Zbl 1329.68216
Hu, Ting; Fan, Jun; Wu, Qiang; Zhou, Ding-Xuan
44
2015
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
44
2020
A bifurcation result for non-local fractional equations. Zbl 1328.35280
Molica Bisci, Giovanni; Servadei, Raffaella
43
2015
Cross-validation based adaptation for regularization operators in learning theory. Zbl 1209.68405
Caponnetto, Andrea; Yao, Yuan
41
2010
Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem. Zbl 1116.46019
Carmeli, Claudio; De Vito, Ernesto; Toigo, Alessandro
40
2006
Real-variable characterizations of Orlicz-slice Hardy spaces. Zbl 1423.42042
Zhang, Yangyang; Yang, Dachun; Yuan, Wen; Wang, Songbai
37
2019
Thresholded spectral algorithms for sparse approximations. Zbl 1409.68232
Guo, Zheng-Chu; Xiang, Dao-Hong; Guo, Xin; Zhou, Ding-Xuan
36
2017
Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047
Mortici, Cristinel
35
2010
Transmutation operators and Paley-Wiener theorem associated with a singular differential-difference operator on the real line. Zbl 1140.42302
Mourou, Mohamed A.; Trimèche, Khalifa
33
2003
Positivity of the intertwining operator and harmonic analysis associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1056.43003
Chouchane, F.; Mili, M.; Trimèche, K.
33
2003
Uniform asymptotic expansions for hypergeometric functions with large parameters. III. Zbl 1190.33002
Olde Daalhuis, A. B.
32
2010
Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
29
2005
Vector valued reproducing kernel Hilbert spaces and universality. Zbl 1195.46025
Carmeli, C.; de Vito, E.; Toigo, A.; Umanità, V.
29
2010
Resonant \((p,2)\)-equations with asymmetric reaction. Zbl 1327.35125
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.
28
2015
Weyl transforms associated with the spherical mean operator. Zbl 1045.47038
Rachdi, L. T.; Triméche, K.
27
2003
Complex interpolation on Besov-type and Triebel-Lizorkin-type spaces. Zbl 1294.46020
Yang, Dachun; Yuan, Wen; Zhuo, Ciqiang
27
2013
Asymptotic behavior of structures made of curved rods. Zbl 1210.74121
Griso, Georges
27
2008
A high accuracy Leray-deconvolution model of turbulence and its limiting behavior. Zbl 1210.76084
Layton, William; Lewandowski, Roger
27
2008
Emergence of bi-cluster flocking for agent-based models with unit speed constraint. Zbl 1346.34031
Cho, Junghee; Ha, Seung-Yeal; Huang, Feimin; Jin, Chunyin; Ko, Dongnam
25
2016
Existence result for nonlinear parabolic equations with lower order terms. Zbl 1225.35134
Di Nardo, Rosaria; Feo, Filomena; Guibé, Olivier
25
2011
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
25
2009
Infinitely many solutions for the Dirichlet problem on the Sierpinski gasket. Zbl 1229.35049
Breckner, Brigitte E.; Rădulescu, Vicenţiu D.; Varga, Csaba
24
2011
Real-variable characterizations of Hardy spaces associated with Bessel operators. Zbl 1227.42021
Yang, Dachun; Yang, Dongyong
24
2011
Highly oscillating boundaries and reduction of dimension: the critical case. Zbl 1121.35012
Blanchard, Dominique; Gaudiello, Antonio; Mossino, Jacqueline
24
2007
Asymptotic behavior of structures made of plates. Zbl 1111.74029
Griso, Georges
24
2005
Convergence rates of kernel conjugate gradient for random design regression. Zbl 1349.62125
Blanchard, Gilles; Krämer, Nicole
22
2016
A justification of the Reissner-Mindlin plate theory through variational convergence. Zbl 1109.74031
Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe
22
2007
Existence of boundary layer solutions to the Boltzmann equation. Zbl 1172.35358
Chen, Chiun-Chuan; Liu, Tai-Ping; Yang, Tong
22
2004
Spectral properties of operators using tridiagonalization. Zbl 1248.33019
Ismail, Mourad E. H.; Koelink, Erik
22
2012
Multivariate sampling-type approximation. Zbl 1366.41020
Krivoshein, A.; Skopina, M.
21
2017
Temporally global solution to the equations for a spherically symmetric viscous radiative and reactive gas over the rigid core. Zbl 1151.35107
Umehara, Morimichi; Tani, Atusi
21
2008
Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation. Zbl 1311.35141
Kawashima, Shuichi; Wang, Yu-Zhu
21
2015
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
21
2016
Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
20
2013
From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight. Zbl 1405.35134
Briant, Marc; Merino-Aceituno, Sara; Mouhot, Clément
20
2019
Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes. Zbl 1459.47019
Toft, Joachim
20
2017
Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems. Zbl 1456.82804
Reisinger, Christoph; Zhang, Yufei
20
2020
Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080
Xin, Zhouping; Yin, Huicheng
19
2006
Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060
Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G.
19
2005
Global classical solutions to the 3D Navier-Stokes-Korteweg equations with small initial energy. Zbl 1375.76043
Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang
19
2018
Random sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1417.42045
Yang, Jianbin
19
2019
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH.
19
2013
Learning rates for regularized least squares ranking algorithm. Zbl 1420.68182
Zhao, Yulong; Fan, Jun; Shi, Lei
18
2017
Non-uniform bound and finite time blow up for solutions to a drift-diffusion equation in higher dimensions. Zbl 1331.35157
Ogawa, Takayoshi; Wakui, Hiroshi
18
2016
Stochastic solutions of the two-dimensional primitive equations of the ocean and atmosphere with an additive noise. Zbl 1126.35040
Ewald, B.; Petcu, M.; Temam, R.
17
2007
On the equivalence of two fundamental theta identities. Zbl 1379.11049
Koornwinder, Tom H.
17
2014
Flocking and non-flocking behavior in a stochastic Cucker-Smale system. Zbl 1291.60124
Ton, Ta Viet; Linh, Nguyen Thi Hoai; Yagi, Atsushi
17
2014
Inequalities involving gamma and psi functions. Zbl 1042.33002
Clark, W. Edwin; Ismail, Mourad E. H.
16
2003
Discretization error analysis for Tikhonov regularization. Zbl 1088.65056
De Vito, Ernesto; Rosasco, Lorenzo; Caponnetto, Andrea
16
2006
Real-time dynamics acquisition from irregular samples - with application to anesthesia evaluation. Zbl 1382.94028
Chui, Charles K.; Lin, Yu-Ting; Wu, Hau-Tieng
16
2016
Inverse scattering for a random potential. Zbl 1430.81081
Caro, Pedro; Helin, Tapio; Lassas, Matti
16
2019
Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007
Ciarlet, Philippe G.; Mardare, Christinel
15
2005
On isometric immersions of a Riemannian space with little regularity. Zbl 1087.53031
Mardare, Sorin
15
2004
Modeling of a membrane for nonlinearly elastic incompressible materials via gamma-convergence. Zbl 1086.74025
Trabelsi, Karim
15
2006
Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. Zbl 1366.46022
Jiang, Renjin; Xiao, Jie; Yang, Dachun
15
2016
Functions of the infinitesimal generator of a strongly continuous quaternionic group. Zbl 1370.47015
Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.
15
2017
Blow-up solutions of the two-dimensional heat equation due to a localized moving source. Zbl 1086.35006
Kirk, C. M.; Olmstead, W. E.
15
2005
Perturbation of the generator of a quaternionic evolution operator. Zbl 1327.47035
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene
15
2015
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
15
2019
An analogue of Cowling-Price’s theorem and Hardy’s theorem for the generalized Fourier transform associated with the spherical mean operator. Zbl 1129.42004
Chettaoui, C.; Othmani, Y.; Trimèche, K.
14
2004
Uniform asymptotic expansions for hypergeometric functions with large parameters. II. Zbl 1048.33005
Olde Daalhuis, A. B.
14
2003
Classes of functions with improved estimates in approximation by the max-product Bernstein operator. Zbl 1226.41007
Coroianu, Lucian; Gal, Sorin G.
14
2011
Singular perturbation analysis on a homogeneous ocean circulation model. Zbl 1229.76091
Jung, Chang-Yeol; Petcu, Madalina; Temam, Roger
14
2011
Completely monotonic functions related to the \(q\)-gamma and the \(q\)-trigamma functions. Zbl 1312.33046
Salem, Ahmed
14
2015
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
14
2016
Continuity of Calderón-Zygmund operators on Besov or Triebel-Lizorkin spaces. Zbl 1268.42026
Meyer, Y.; Yang, Q. X.
14
2008
Eigenvalue problems associated with nonhomogeneous differential operators in Orlizc-Sobolev spaces. Zbl 1159.35051
Mihăilescu, Mihai; Rădulescu, Vicenţiu
14
2008
Uniform asymptotic expansions for hypergeometric functions with large parameters. IV. Zbl 1300.33007
Khwaja, S. Farid; Daalhuis, A. B. Olde
14
2014
Generalized sampling: from shift-invariant to U-invariant spaces. Zbl 1311.42078
Fernández-Morales, H. R.; García, A. G.; Hernández-Medina, M. A.; Muñoz-Bouzo, M. J.
14
2015
Optimal learning with Gaussians and correntropy loss. Zbl 1462.68159
Lv, Fusheng; Fan, Jun
14
2021
Approximation by max-product sampling Kantorovich operators with generalized kernels. Zbl 1464.41004
Coroianu, Lucian; Costarelli, Danilo; Gal, Sorin G.; Vinti, Gianluca
14
2021
Regularized learning schemes in feature Banach spaces. Zbl 1378.62015
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia
14
2018
Solution to system of partial fractional differential equations using the \(\mathcal L_2\)-transform. Zbl 1208.26013
Aghili, A.; Ansari, A.
14
2011
Online regression with varying Gaussians and non-identical distributions. Zbl 1253.68189
Hu, Ting
14
2011
A global existence of classical solutions to the hydrodynamic Cucker-Smale model in presence of a temperature field. Zbl 1432.35174
Ha, Seung-Yeal; Kim, Jeongho; Min, Chanho; Ruggeri, Tommaso; Zhang, Xiongtao
14
2018
Learning rates for the risk of kernel-based quantile regression estimators in additive models. Zbl 1338.62077
Christmann, Andreas; Zhou, Ding-Xuan
14
2016
Decomposition of deformations of thin rods. Application to nonlinear elasticity. Zbl 1165.74027
Blanchard, Dominique; Griso, Georges
13
2009
Indefinite kernel network with dependent sampling. Zbl 1281.68194
Sun, Hongwei; Wu, Qiang
13
2013
Weighted maximal estimates along curve associated with dispersive equations. Zbl 1362.42027
Ding, Yong; Niu, Yaoming
13
2017
Blocking strategies for a fire control problem. Zbl 1160.49043
Bressan, Alberto; Burago, Maria; Friend, Arthur; Jou, Jessica
13
2008
Existence theorems for fractional \(p\)-Laplacian problems. Zbl 1371.35330
Piersanti, Paolo; Pucci, Patrizia
13
2017
Asymptotics of orthogonal polynomials via recurrence relations. Zbl 1242.41035
Wang, X.-S.; Wong, R.
13
2012
Remarks on the complete synchronization for the Kuramoto model with frustrations. Zbl 1432.34072
Ha, Seung-Yeal; Kim, Hwa Kil; Park, Jinyeong
13
2018
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction. Zbl 1528.35141
Esfahani, Amin
1
2024
Optimal control of a reaction-diffusion model related to the spread of COVID-19. Zbl 07785848
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
1
2024
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces. Zbl 1518.42015
Huang, Long; Weisz, Ferenc; Yang, Dachun; Yuan, Wen
10
2023
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials. Zbl 1507.42015
Almeida, Víctor; Betancor, Jorge J.; Rodríguez-Mesa, Lourdes
4
2023
Mixed-norm Herz spaces and their applications in related Hardy spaces. Zbl 1522.42050
Zhao, Yirui; Yang, Dachun; Zhang, Yangyang
3
2023
Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting. Zbl 1515.30109
De Martino, Antonino; Diki, Kamal
3
2023
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting. Zbl 1529.35060
Jäger, Willi; Tambue, Antoine; Woukeng, Jean Louis
2
2023
Approximating functions with multi-features by deep convolutional neural networks. Zbl 07652562
Mao, Tong; Shi, Zhongjie; Zhou, Ding-Xuan
2
2023
On the regularity of multilinear Schrödinger integral operators. Zbl 1511.35110
Bergfeldt, Aksel; Staubach, Wolfgang
2
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Gabor frame characterizations of generalized modulation spaces. Zbl 1519.42034
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2
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Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise. Zbl 1512.35113
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2
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Sparse regularization with the \(\ell_0\) norm. Zbl 1522.90146
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1
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Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien-Tanner model. Zbl 1519.35028
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On the hemispherical transform in the half-space and related Radon transforms. Zbl 1530.44003
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Reproducing kernels of Sobolev-Slobodecki\u{j} spaces via Green’s kernel approach: theory and applications. Zbl 1529.41019
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Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations. Zbl 07652560
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1
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Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik-Schnirelmann category. Zbl 1528.35035
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1
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Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Zbl 1484.92013
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Learning theory of minimum error entropy under weak moment conditions. Zbl 1482.68200
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11
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Boundedness and compactness of commutators associated with Lipschitz functions. Zbl 1485.42025
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7
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Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization. Zbl 1498.46043
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5
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Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum. Zbl 1490.76251
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4
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Sparse representation of approximation to identity. Zbl 1514.41005
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4
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3
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Fourier-Bessel series of compactly supported convolutions on disks. Zbl 07528660
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3
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A mass-conserved tumor invasion system with quasi-variational degenerate diffusion. Zbl 1494.35096
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3
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Neural network interpolation operators activated by smooth ramp functions. Zbl 1494.41007
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3
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A new elliptic mixed boundary value problem with \((p,q)\)-Laplacian and Clarke subdifferential: existence, comparison and convergence results. Zbl 1492.35135
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3
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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 1501.35224
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3
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On the spherical slice transform. Zbl 1497.44003
Rubin, Boris
2
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Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients. Zbl 1503.41008
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2
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Sobolev meets Besov: regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values. Zbl 1494.35057
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Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces. Zbl 1492.94047
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The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation. Zbl 1491.60110
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Topological states and continuum model for swarmalators without force reciprocity. Zbl 1501.35113
Degond, Pierre; Diez, Antoine; Walczak, Adam
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Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property. Zbl 1507.43001
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Effects of depth, width, and initialization: a convergence analysis of layer-wise training for deep linear neural networks. Zbl 1487.68201
Shin, Yeonjong
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Analysis of simultaneous inpainting and geometric separation based on sparse decomposition. Zbl 07528664
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A machine learning approach to optimal Tikhonov regularization. I: Affine manifolds. Zbl 1493.62438
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A new binary representation method for shape convexity and application to image segmentation. Zbl 1492.65052
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Approximations with deep neural networks in Sobolev time-space. Zbl 1489.35007
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Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity. Zbl 1494.35048
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Operator-valued positive definite kernels and differentiable universality. Zbl 1491.42006
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Recent advances in asymptotic analysis. Zbl 1501.41009
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Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long-time behavior. Zbl 1501.35399
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Optimal learning with Gaussians and correntropy loss. Zbl 1462.68159
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Approximation by max-product sampling Kantorovich operators with generalized kernels. Zbl 1464.41004
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On the global operator and Fueter mapping theorem for slice polyanalytic functions. Zbl 1482.30116
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12
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Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds. Zbl 1479.35006
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A simultaneous decomposition for three quaternion tensors with applications in color video signal processing. Zbl 1467.15019
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8
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Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density. Zbl 1460.35302
Zhong, Xin
7
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An existence result for a class of electrothermal drift-diffusion models with Gauss-Fermi statistics for organic semiconductors. Zbl 1460.35127
Glitzky, Annegret; Liero, Matthias; Nika, Grigor
7
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Analytical expressions of copositivity for fourth-order symmetric tensors. Zbl 07421751
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6
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A regularized convolutional neural network for semantic image segmentation. Zbl 1462.68211
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6
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Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces. Zbl 1478.46021
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6
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Simplified error bounds for turning point expansions. Zbl 1491.34101
Dunster, T. M.; Gil, A.; Segura, J.
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Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform. Zbl 1472.42043
Cai, Haiyan; Jiang, Qingtang; Li, Lin; Suter, Bruce W.
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Neural ODEs as the deep limit of ResNets with constant weights. Zbl 07362267
Avelin, Benny; Nyström, Kaj
5
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On Cucker-Smale dynamical systems with degenerate communication. Zbl 1471.92398
Dietert, Helge; Shvydkoy, Roman
5
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Asymptotics of solutions to a fifth-order modified Korteweg-de Vries equation in the quarter plane. Zbl 1479.35744
Liu, Nan; Guo, Boling
5
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A new theory of fractional differential calculus. Zbl 1479.26007
Feng, Xiaobing; Sutton, Mitchell
5
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Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node. Zbl 1476.35023
Mel’nyk, Taras
5
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Generalized representer theorems in Banach spaces. Zbl 1462.68156
Huang, Liren; Liu, Chunguang; Tan, Lulin; Ye, Qi
4
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Distributions of anisotropic order and applications to H-distributions. Zbl 1477.42010
Antonić, Nenad; Erceg, Marko; Mišur, Marin
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Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials. Zbl 1484.35242
Badiale, Marino; Guida, Michela; Rolando, Sergio
3
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Minimum norm interpolation in the \(\ell_1(\mathbb{N})\) space. Zbl 1462.41001
Cheng, Raymond; Xu, Yuesheng
3
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A new sufficient condition for sparse vector recovery via \(\ell_1\)-\( \ell_2\) local minimization. Zbl 1492.94029
Bi, Ning; Tan, Jun; Tang, Wai-Shing
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Approximation of the Mumford-Shah functional by phase fields of bounded variation. Zbl 1460.49009
Belz, Sandro; Bredies, Kristian
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Emergence of mono-cluster flocking in the thermomechanical Cucker-Smale model under switching topologies. Zbl 1461.93230
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
2
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High-order low-bit Sigma-Delta quantization for fusion frames. Zbl 1512.94021
Gao, Zhen; Krahmer, Felix; Powell, Alexander M.
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Algorithmic versatility of SPF-regularization methods. Zbl 1512.94007
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E.
2
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Data informed solution estimation for forward-backward stochastic differential equations. Zbl 1475.60100
Bao, Feng; Cao, Yanzhao; Yong, Jiongmin
2
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Asymptotic expansions for Wiener-Hopf equations. Zbl 1497.41028
Li, Kui; Wong, Roderick
1
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Asymptotics of the Charlier polynomials via difference equation methods. Zbl 1487.41040
Huang, Xiao-Min; Lin, Yu; Zhao, Yu-Qiu
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Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
46
2020
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
44
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Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems. Zbl 1456.82804
Reisinger, Christoph; Zhang, Yufei
20
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Wellposedness and regularity of a variable-order space-time fractional diffusion equation. Zbl 1442.35575
Zheng, Xiangcheng; Wang, Hong
11
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Three-fold symmetric Hahn-classical multiple orthogonal polynomials. Zbl 1435.33011
Loureiro, Ana F.; Van Assche, Walter
10
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Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators. Zbl 1442.35573
Abdeljawad, Ahmed; Coriasco, Sandro; Toft, Joachim
9
2020
Linear perturbations of the Wigner distribution and the Cohen class. Zbl 1437.42005
Cordero, Elena; Trapasso, S. Ivan
8
2020
The Littlewood-Paley decomposition for periodic functions and applications to the Boussinesq equations. Zbl 1444.42023
Dai, Yichen; Hu, Weiwei; Wu, Jiahong; Xiao, Bei
7
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Communication-efficient estimation of high-dimensional quantile regression. Zbl 1452.62527
Wang, Lei; Lian, Heng
7
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Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. Zbl 1439.35392
Chipot, Michel; Droniou, Jérôme; Planas, Gabriela; Robinson, James C.; Xue, Wei
6
2020
Asymptotic behaviors for nonlocal diffusion equations about the dispersal spread. Zbl 1447.35235
Su, Yuan-Hang; Li, Wan-Tong; Yang, Fei-Ying
6
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On the \(K\)-functional in learning theory. Zbl 1434.68452
Sheng, Bao-Huai; Wang, Jian-Li
5
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Online regularized pairwise learning with least squares loss. Zbl 1435.68284
Wang, Cheng; Hu, Ting
5
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The Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces. Zbl 1434.35171
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao
4
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Jointly low-rank and bisparse recovery: questions and partial answers. Zbl 1434.65050
Foucart, Simon; Gribonval, Rémi; Jacques, Laurent; Rauhut, Holger
4
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Convergence analysis of distributed multi-penalty regularized pairwise learning. Zbl 1435.68262
Hu, Ting; Fan, Jun; Xiang, Dao-Hong
4
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Large deviation rates for Markov branching processes. Zbl 1434.60244
Li, Junping; Cheng, Lan; Pakes, Anthony G.; Chen, Anyue; Li, Liuyan
3
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Performance analysis of the LapRSSLG algorithm in learning theory. Zbl 1432.68399
Sheng, Baohuai; Zhang, Haizhang
3
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Asymptotics of the Wilson polynomials. Zbl 1435.33010
Li, Yu-Tian; Wang, Xiang-Sheng; Wong, Roderick
3
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Kernel regression, minimax rates and effective dimensionality: beyond the regular case. Zbl 1443.62091
Blanchard, Gilles; Mücke, Nicole
3
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PhaseMax: stable guarantees from noisy sub-Gaussian measurements. Zbl 1492.94032
Li, Huiping; Li, Song; Xia, Yu
3
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Stability and optimization error of stochastic gradient descent for pairwise learning. Zbl 1490.68191
Shen, Wei; Yang, Zhenhuan; Ying, Yiming; Yuan, Xiaoming
3
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Mathematical modeling and qualitative analysis of viscoelastic conductive fluids. Zbl 1451.76008
Tan, Zhong; Wang, Yong; Wu, Wenpei
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Generalized support vector regression: duality and tensor-kernel representation. Zbl 1441.62101
Salzo, Saverio; Suykens, Johan A. K.
2
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Solutions of the Al-Salam-Chihara and allied moment problems. Zbl 1432.33017
Ismail, Mourad E. H.
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64 Yin, Zhaoyang
62 Zhou, Dingxuan
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37 Rădulescu, Vicenţiu D.
32 Yang, Tong
32 Yuan, Wen
30 Mardare, Cristinel
28 Mejjaoli, Hatem
27 Duan, Renjun
25 Griso, Georges
21 Mi, Yongsheng
21 Molica Bisci, Giovanni
21 Mu, Chunlai
21 Papageorgiou, Nikolaos S.
21 Wu, Qiang
20 López, José Luis
19 Cohen, Albert
19 Costarelli, Danilo
19 Hu, Ting
19 Shi, Lei
19 Zhao, Yuqiu
18 Guo, Zheng-Chu
18 Liu, Yue
18 Mortici, Cristinel
18 Repovš, Dušan D.
18 Temam, Roger Meyer
17 Guo, Boling
17 Vinti, Gianluca
16 Baricz, Árpád
16 Heidarkhani, Shapour
16 Sheng, Baohuai
16 Suslina, Tat’yana Aleksandrovna
16 Xiang, Dao-Hong
15 Colombo, Fabrizio
15 Jørgensen, Palle E. T.
15 Lin, Shaobo
15 Sun, Hongwei
15 Wong, Roderick Sue-Chuen
14 Gal, Sorin Gheorghe
14 Jung, Changyeol
14 Mai Duc Thanh
14 Nobile, Fabio
14 Zhang, Yangyang
13 Bressan, Alberto
13 Fan, Jishan
13 Hoang, Viet Ha
13 Ogawa, Takayoshi
13 Qiao, Zhijun
13 Rosasco, Lorenzo A.
13 Toft, Joachim
13 Xu, Shuaixia
13 Yang, Dongyong
13 Yang, Xiongfeng
12 Afrouzi, Ghasem Alizadeh
12 Ansari, Alireza
12 Betancor Perez, Jorge Juan
12 García, Antonio G.
12 Pagola, Pedro J.
12 Wang, Yuzhu
12 Yu, Hongjun
12 Zhu, Min
12 Zhu, Mingxuan
11 Alves, Claudianor Oliveira
11 Cordero, Elena
11 Dunster, T. M.
11 Eigel, Martin
11 Guan, Chunxia
11 Ismail, Mourad El-Houssieny
11 Jentzen, Arnulf
11 Jiang, Zaihong
11 Mel’nyk, Taras A.
11 Petersen, Philipp Christian
11 Trimèche, Khalifa
11 Webster, Clayton G.
11 Wu, Zhigang
11 Xu, Zongben
11 Yang, Shaojie
11 Zech, Jakob
11 Zhao, Huijiang
10 Coroianu, Lucian C.
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10 Feng, Yunlong
10 Gantner, Jonathan
10 Griebel, Michael
10 Grunert, Katrin
10 Hong, Youngjoon
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10 Li, Pengtao
10 Mikhailov, Sergey E.
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10 Wu, Huoxiong
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10 Zou, Bin
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Cited in 532 Journals

152 Analysis and Applications (Singapore)
145 Journal of Differential Equations
140 Journal of Mathematical Analysis and Applications
79 Journal of Mathematical Physics
75 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
61 Applicable Analysis
56 SIAM Journal on Mathematical Analysis
53 Applied and Computational Harmonic Analysis
50 Discrete and Continuous Dynamical Systems
47 Mathematical Methods in the Applied Sciences
47 Nonlinear Analysis. Real World Applications
44 Archive for Rational Mechanics and Analysis
42 Communications on Pure and Applied Analysis
41 ZAMP. Zeitschrift für angewandte Mathematik und Physik
40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
39 Applied Mathematics and Computation
39 Journal of Approximation Theory
39 Comptes Rendus. Mathématique. Académie des Sciences, Paris
38 Results in Mathematics
37 Journal de Mathématiques Pures et Appliquées. Neuvième Série
36 Complex Variables and Elliptic Equations
34 Communications in Mathematical Physics
34 Abstract and Applied Analysis
33 Journal of Computational and Applied Mathematics
32 Computers & Mathematics with Applications
32 Journal of Functional Analysis
31 Advances in Computational Mathematics
31 Mediterranean Journal of Mathematics
30 Journal of Machine Learning Research (JMLR)
30 Boundary Value Problems
29 Monatshefte für Mathematik
29 Journal of Complexity
28 Proceedings of the American Mathematical Society
28 Integral Transforms and Special Functions
28 Mathematical Foundations of Computing
27 Constructive Approximation
27 Applied Mathematics Letters
27 Calculus of Variations and Partial Differential Equations
27 Journal of High Energy Physics
27 Acta Mathematica Scientia. Series B. (English Edition)
27 Science China. Mathematics
26 Computer Methods in Applied Mechanics and Engineering
26 Kinetic and Related Models
25 Journal of Mathematical Fluid Mechanics
25 SIAM/ASA Journal on Uncertainty Quantification
23 Journal of Computational Physics
23 SIAM Journal on Numerical Analysis
23 Neural Networks
23 Journal of Elasticity
22 Nonlinearity
22 Discrete and Continuous Dynamical Systems. Series B
21 Inverse Problems
21 Journal of Scientific Computing
21 The Journal of Geometric Analysis
21 The Journal of Fourier Analysis and Applications
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
20 Journal of Statistical Physics
20 Foundations of Computational Mathematics
20 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
20 Advances in Nonlinear Analysis
19 Chinese Annals of Mathematics. Series B
19 Discrete and Continuous Dynamical Systems. Series S
18 Physica D
18 SIAM Journal on Scientific Computing
18 International Journal of Wavelets, Multiresolution and Information Processing
17 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Numerical Functional Analysis and Optimization
17 Numerische Mathematik
17 The Ramanujan Journal
17 Journal of Inequalities and Applications
17 Complex Analysis and Operator Theory
17 Journal of Pseudo-Differential Operators and Applications
16 Mathematische Nachrichten
16 Acta Applicandae Mathematicae
16 Mathematics and Mechanics of Solids
16 Journal of Evolution Equations
16 Analysis and Mathematical Physics
15 Applied Mathematics and Optimization
15 Quarterly of Applied Mathematics
15 Communications in Nonlinear Science and Numerical Simulation
14 Mathematics of Computation
14 Acta Mathematica Sinica. English Series
13 Studies in Applied Mathematics
13 Asymptotic Analysis
13 Journal of Mathematical Sciences (New York)
13 Electronic Journal of Differential Equations (EJDE)
13 Advances in Difference Equations
13 Frontiers of Mathematics in China
12 Advances in Mathematics
12 Journal of Nonlinear Science
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Journal of Physics A: Mathematical and Theoretical
11 Mathematische Annalen
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 Dynamics and Differential Equations
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Cited in 62 Fields

1,994 Partial differential equations (35-XX)
576 Fluid mechanics (76-XX)
560 Numerical analysis (65-XX)
479 Computer science (68-XX)
472 Harmonic analysis on Euclidean spaces (42-XX)
399 Approximations and expansions (41-XX)
365 Functional analysis (46-XX)
320 Operator theory (47-XX)
306 Special functions (33-XX)
277 Statistics (62-XX)
270 Mechanics of deformable solids (74-XX)
257 Ordinary differential equations (34-XX)
221 Probability theory and stochastic processes (60-XX)
176 Statistical mechanics, structure of matter (82-XX)
148 Dynamical systems and ergodic theory (37-XX)
139 Biology and other natural sciences (92-XX)
138 Functions of a complex variable (30-XX)
131 Calculus of variations and optimal control; optimization (49-XX)
127 Information and communication theory, circuits (94-XX)
117 Real functions (26-XX)
109 Quantum theory (81-XX)
90 Global analysis, analysis on manifolds (58-XX)
85 Integral transforms, operational calculus (44-XX)
83 Differential geometry (53-XX)
81 Operations research, mathematical programming (90-XX)
74 Systems theory; control (93-XX)
67 Integral equations (45-XX)
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28 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25 Combinatorics (05-XX)
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22 Relativity and gravitational theory (83-XX)
20 Algebraic geometry (14-XX)
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14 Several complex variables and analytic spaces (32-XX)
12 Nonassociative rings and algebras (17-XX)
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8 Group theory and generalizations (20-XX)
7 Manifolds and cell complexes (57-XX)
6 Geometry (51-XX)
6 Astronomy and astrophysics (85-XX)
5 General and overarching topics; collections (00-XX)
4 Algebraic topology (55-XX)
3 History and biography (01-XX)
3 Commutative algebra (13-XX)
3 Convex and discrete geometry (52-XX)
3 General topology (54-XX)
2 \(K\)-theory (19-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
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1 Category theory; homological algebra (18-XX)
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