## Communications in Mathematical Sciences

 Short Title: Commun. Math. Sci. Publisher: International Press of Boston, Somerville, MA ISSN: 1539-6746; 1945-0796/e Online: https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/index.phphttps://projecteuclid.org/journals/communications-in-mathematical-sciences/issues
 Documents Indexed: 1,339 Publications (since 2003)
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### Authors

 20 Guo, Boling 20 Majda, Andrew J. 15 Ha, Seung-Yeal 15 Osher, Stanley Joel 14 Liu, Chun 13 E, Weinan 12 Tan, Zhong 12 Xin, Jack X. 11 Herty, Michael Matthias 11 Liu, Jianguo 11 Qi, Liqun 10 Engquist, Bjorn E. 10 Ying, Lexing 9 Jin, Shi 9 Lu, Jianfeng 9 Ryzhik, Lenya 9 Zhang, Pingwen 8 Burger, Martin 8 Chalons, Christophe 8 Li, Tong 8 Markowich, Peter Alexander 8 Tsai, Yen-Hsi Richard 8 Vanden-Eijnden, Eric 8 Wu, Jiahong 8 Yang, Xu 7 Degond, Pierre 7 Du, Qiang 7 Golse, François 7 Perthame, Benoît 7 Runborg, Olof 7 Zheng, Chunxiong 7 Zhou, Douglas 7 Zhu, Changjiang 6 Bertozzi, Andrea Louise 6 Cai, David 6 Carrillo de la Plata, José Antonio 6 Garnier, Josselin 6 Heitzinger, Clemens 6 Jüngel, Ansgar 6 Kovačič, Gregor 6 Li, Tiejun 6 Liu, Hailiang 6 Pego, Robert L. 6 Piccoli, Benedetto 6 Stuart, Andrew M. 6 Yue, Xingye 6 Zhang, Hui 5 Arnold, Anton 5 Bal, Guillaume 5 Brull, Stephane 5 Coquel, Frédéric 5 Desvillettes, Laurent 5 Ducomet, Bernard 5 Fan, Jishan 5 Gao, Hongjun 5 Han, Houde 5 Huang, Zhongyi 5 Iyer, Gautam 5 Klar, Axel 5 Kurganov, Alexander 5 Lowengrub, John Samuel 5 Mattingly, Jonathan Christopher 5 Méhats, Florian 5 Negulescu, Claudia 5 Qi, Yingyong 5 Rangan, Aaditya V. 5 Ringhofer, Christian A. 5 Schmeiser, Christian 5 Seguin, Nicolas 5 Shi, Xiaoding 5 Tadmor, Eitan 5 Titi, Edriss Saleh 5 Toscani, Giuseppe 5 Tosin, Andrea 5 Xu, Xiangsheng 5 Zhang, Kaijun 4 Abramov, Rafail V. 4 Berthon, Christophe 4 Bisi, Marzia 4 Borgna, Juan Pablo 4 Bressan, Alberto 4 Brio, Moysey 4 Chang, Kung-Ching 4 Colombo, Rinaldo M. 4 Constantin, Peter 4 Dolbeault, Jean 4 Dong, Jiu-Gang 4 Emmrich, Etienne 4 Fatkullin, Ibrahim 4 Ferreira, Lucas Catão de Freitas 4 Goatin, Paola 4 Göttlich, Simone 4 Goudon, Thierry 4 Groppi, Maria 4 Guo, Chunxiao 4 Haskovec, Jan 4 Hong, Hakho 4 Illner, Reinhard 4 Jiang, Ning 4 Katsoulakis, Markos A. ...and 1,867 more Authors
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### Fields

 896 Partial differential equations (35-XX) 456 Fluid mechanics (76-XX) 357 Numerical analysis (65-XX) 208 Statistical mechanics, structure of matter (82-XX) 183 Probability theory and stochastic processes (60-XX) 124 Biology and other natural sciences (92-XX) 82 Ordinary differential equations (34-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 68 Dynamical systems and ergodic theory (37-XX) 62 Mechanics of deformable solids (74-XX) 62 Optics, electromagnetic theory (78-XX) 58 Operations research, mathematical programming (90-XX) 49 Geophysics (86-XX) 43 Information and communication theory, circuits (94-XX) 42 Quantum theory (81-XX) 40 Statistics (62-XX) 39 Systems theory; control (93-XX) 38 Classical thermodynamics, heat transfer (80-XX) 37 Integral equations (45-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Computer science (68-XX) 24 Operator theory (47-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Mechanics of particles and systems (70-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Real functions (26-XX) 12 Approximations and expansions (41-XX) 11 Combinatorics (05-XX) 10 Difference and functional equations (39-XX) 9 Differential geometry (53-XX) 8 Integral transforms, operational calculus (44-XX) 8 Functional analysis (46-XX) 8 Relativity and gravitational theory (83-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 4 Measure and integration (28-XX) 4 Astronomy and astrophysics (85-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

1,045 Publications have been cited 11,318 times in 8,899 Documents Cited by Year
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
2003
Perron-Frobenius theorem for nonnegative tensors. Zbl 1147.15006
Chang, Kung-Ching; Pearson, Kelly; Zhang, Tan
2008
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003
Ha, Seung-Yeal; Liu, Jian-Guo
2009
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
2003
Kinetic models of opinion formation. Zbl 1195.91128
Toscani, Giuseppe
2006
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
2007
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models. Zbl 1127.35034
Cao, Yanping; Lunasin, Evelyn M.; Titi, Edriss S.
2006
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
2010
Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Zbl 1192.34067
Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron
2009
Semi-implicit spectral deferred correction methods for ordinary differential equations. Zbl 1088.65556
Minion, Michael L.
2003
Mean field games and systemic risk. Zbl 1337.91031
Carmona, René; Fouque, Jean-Pierre; Sun, Li-Hsien
2015
$$H^{+}$$-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
2014
The parabolic-parabolic Keller-Segel model in $$\mathbb R^2$$. Zbl 1149.35360
Calvez, Vincent; Corrias, Lucilla
2008
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138
Lorz, Alexander
2012
An $$H^2$$ convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation. Zbl 1338.65221
Guo, Jing; Wang, Cheng; Wise, Steven M.; Yue, Xingye
2016
Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor
2004
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability. Zbl 1085.65513
Arnold, Anton; Ehrhardt, Matthias; Sofronov, Ivan
2003
Emergence of phase-locked states for the Kuramoto model in a large coupling regime. Zbl 1383.92016
Ha, Seung-Yeal; Kim, Hwa Kil; Ryoo, Sang Woo
2016
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
2007
Synchronization analysis of Kuramoto oscillators. Zbl 1301.34072
Dong, Jiu-Gang; Xue, Xiaoping
2013
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
2009
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
2016
On collision-avoiding initial configurations to Cucker-Smale type flocking models. Zbl 1321.92084
Ahn, Shin Mi; Choi, Heesun; Ha, Seung-Yeal; Lee, Ho
2012
A stochastic epidemic model incorporating media coverage. Zbl 1344.92155
Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming
2016
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
2003
On selection dynamics for continuous structured populations. Zbl 1176.45009
Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël
2008
On the complete phase synchronization for the Kuramoto model in the mean-field limit. Zbl 1345.37065
Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto
2015
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
2005
Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation. Zbl 1085.65109
Hou, Thomas Y.; Wu, Xiao-Hui; Zhang, Yu
2004
Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060
Vanden-Eijnden, Eric
2003
Gauge method for viscous incompressible flows. Zbl 1160.76329
E, Weinan; Liu, Jian-Guo
2003
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
2003
A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089
Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun
2011
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
2013
PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092
Rätz, Andreas; Voigt, Axel
2006
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
2007
Stability estimates for a class of Helmholtz problems. Zbl 1135.35323
Hetmaniuk, U.
2007
Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040
Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao
2010
Analysis of optimal boundary control for radiative heat transfer modeled by the $$SP_1$$-system. Zbl 1145.49015
Pinnau, René
2007
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
2004
Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008
Lei, Zhen; Liu, Chun; Zhou, Yi
2007
Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit. Zbl 1160.86303
Frierson, Dargan M. W.; Majda, Andrew J.; Pauluis, Olivier M.
2004
Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids. Zbl 1183.35224
Zhao, Liyun; Wu, Hao; Huang, Haiyang
2009
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
2009
Well-posedness of 3D vortex sheets with surface tension. Zbl 1130.76016
2007
A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations. Zbl 1090.35116
Jin, Shi; Osher, Stanley
2003
High-order entropy-based closures for linear transport in slab geometry. Zbl 1284.82050
Hauck, Cory D.
2011
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
2006
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
2011
Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Zbl 1309.35071
Chen, Mingtao; Xu, Xinying; Zhang, Jianwen
2015
Strong convergence of principle of averaging for multiscale stochastic dynamical systems. Zbl 1208.60057
Liu, Di
2010
Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations. Zbl 1084.35066
Cheng, Li-Tien; Liu, Hailiang; Osher, Stanley
2003
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
2015
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
2015
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
2004
Ring patterns and their bifurcations in a nonlocal model of biological swarms. Zbl 1331.35044
Bertozzi, Andrea L.; Kolokolnikov, Theodore; Sun, Hui; Uminsky, David; von Brecht, James
2015
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
2011
Globally hyperbolic regularization of Grad’s moment system in one dimensional space. Zbl 1301.35083
Cai, Zhenning; Fan, Yuwei; Li, Ruo
2013
Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426
Ma, Tian; Wang, Shouhong
2007
Analysis of the heterogeneous multiscale method for ordinary differential equations. Zbl 1088.65552
E, Weinan
2003
A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy. Zbl 1423.60052
Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru
2019
Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics. Zbl 1372.76115
Zhang, Jianwen; Zhao, Junning
2010
Compressible Navier-Stokes equations with temperature dependent heat conductivity. Zbl 1315.35173
Pan, Ronghua; Zhang, Weizhe
2015
Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309
Garcke, Harald; Lam, Kei Fong; Stinner, Björn
2014
Global existence and boundedness in a 2D Keller-Segel-Stokes system with nonlinear diffusion and rotational flux. Zbl 1351.35073
Li, Xie; Wang, Yulan; Xiang, Zhaoyin
2016
Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344
Berthon, Christophe
2005
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2010
On the Cahn-Hilliard-Brinkman system. Zbl 1330.35313
Bosia, Stefano; Conti, Monica; Grasselli, Maurizio
2015
Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum. Zbl 1280.35096
Luo, Zhen
2012
Gaussian beam methods for the Schrödinger equation in the semi-classical regime: Lagrangian and Eulerian formulations. Zbl 1161.81369
Jin, Shi; Wu, Hao; Yang, Xu
2008
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
2007
Infimal convolution regularizations with discrete $$\ell_1$$-type functionals. Zbl 1269.49063
Setzer, S.; Steidl, G.; Teuber, T.
2011
Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems. Zbl 1115.60036
Givon, Dror; Kevrekidis, Ioannis G.; Kupferman, Raz
2006
Finite-time blow-up of $$L^\infty$$-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
2010
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135
Levant, Boris; Ramos, Fabio; Titi, Edriss S.
2010
Network models for supply chains. Zbl 1115.90008
Göttlich, S.; Herty, M.; Klar, A.
2005
Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential. Zbl 1092.76007
Liu, Hailiang; Zhang, Hui; Zhang, Pingwen
2005
Dynamics of the 3D fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain. Zbl 1331.37070
Lu, Hong; Bates, Peter W.; Lü, Shujuan; Zhang, Mingji
2015
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
2009
Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Zbl 1358.35136
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan
2016
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio
2018
Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Zbl 1084.76020
Hong, Lan; Hunter, John K.
2003
Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations. Zbl 1084.35058
Ilyin, A. A.; Miranville, A.; Titi, E. S.
2004
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
2005
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
2014
New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318
Hu, D.; Lelièvre, T.
2007
Weak solutions for a bioconvection model related to Bacillus subtilis. Zbl 1302.35069
Vorotnikov, Dmitry
2014
Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038
2009
Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems. Zbl 1182.65072
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Car, Roberto; E, Weinan
2009
On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029
Bellomo, Nicola; Bellouquid, Abdelghani
2015
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
2009
Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315
Ma, Tian; Wang, Shouhong
2004
Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2014
S-ROCK methods for stiff Itô SDEs. Zbl 1162.60330
Abdulle, Assyr; Li, Tiejun
2008
$$L^1$$-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
2003
Superpositions and higher order Gaussian beams. Zbl 1166.35345
Tanushev, Nicolay M.
2008
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
2005
Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Zbl 1213.35101
Huang, Feimin; Li, Jing; Shi, Xiaoding
2010
Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-X$$_\alpha$$ model. Zbl 1160.81497
Bao, Weizhu; Mauser, N. J.; Stimming, H. P.
2003
An energetic variational approach for ion transport. Zbl 1319.35199
Xu, Shixin; Sheng, Ping; Liu, Chun
2014
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers. Zbl 1484.35162
Chaumont-Frelet, Théophile; Gallistl, Dietmar; Nicaise, Serge; Tomezyk, Jérôme
2022
On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient. Zbl 1503.35022
Leitenmaier, Lena; Runborg, Olof
2022
Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. Zbl 1489.65124
Shen, Jie; Zhang, Xiangxiong
2022
Mass-energy threshold dynamics for dipolar quantum gases. Zbl 1479.35775
Dinh, Van Duong; Forcella, Luigi; Hajaiej, Hichem
2022
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach. Zbl 1496.65110
Duan, Chenghua; Chen, Wenbin; Liu, Chun; Wang, Cheng; Yue, Xingye
2022
Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift. Zbl 1490.35493
Arnold, Anton; Schmeiser, Christian; Signorello, Beatrice
2022
Consistency analysis of bilevel data-driven learning in inverse problems. Zbl 1483.35338
Chada, Neil K.; Schillings, Claudia; Tong, Xin T.; Weissmann, Simon
2022
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter. Zbl 1483.45008
Yang, Jerry Z.; Yin, Xiaobo; Zhang, Jiwei
2022
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems. Zbl 1483.35143
Zhang, Ziyun
2022
A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations. Zbl 1483.35008
2022
Design of a mode converter using thin resonant ligaments. Zbl 1483.35014
Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A.
2022
A finite element method for Dirichlet boundary control of elliptic partial differential equations. Zbl 1486.49032
Du, Shaohong; Cai, Zhiqiang
2022
A sharp critical threshold for a traffic flow model with look-ahead dynamics. Zbl 1493.35054
Lee, Yongki; Tan, Changhui
2022
On two-dimensional steady hypersonic-limit Euler flows passing ramps and Radon measure solutions of compressible Euler equations. Zbl 1492.35204
Jin, Yunjuan; Qu, Aifang; Yuan, Hairong
2022
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics. Zbl 1502.35096
Ju, Qiangchang; Liao, Yongkai
2022
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data. Zbl 1499.35492
Ai, Xiaolian; Li, Zhouyu
2022
Proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients. Zbl 1475.65157
Jentzen, Arnulf; Salimova, Diyora; Welti, Timo
2021
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Zbl 1479.35120
Tao, Youshan; Winkler, Michael
2021
Entropy admissibility of the limit solution for a nonlocal model of traffic flow. Zbl 1486.35292
Bressan, Alberto; Shen, Wen
2021
Analytically pricing variance swaps in commodity derivative markets under stochastic convenience yields. Zbl 1479.91413
Rujivan, Sanae
2021
Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential. Zbl 1475.65074
Li, Qi; Yang, Xiaofeng; Mei, Liquan
2021
Wave breaking for a model equation for shallow water waves of moderate amplitude. Zbl 1479.35153
Yang, Shaojie
2021
Kinetic and hydrodynamic models for the relativistic Cucker-Smale ensemble and emergent behaviors. Zbl 1475.35333
Ha, Seung-Yeal; Kim, Jeongho; Ruggeri, Tommaso
2021
Analysis of a cross-diffusion model for rival gangs interaction in a city. Zbl 1479.35087
Barbaro, Alethea B. T.; Rodriguez, Nancy; Yoldas, Havva; Zamponi, Nicola
2021
Deep fictitious play for stochastic differential games. Zbl 1484.91034
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Selection and mutation in a shifting and fluctuating environment. Zbl 1479.35092
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On the continuous time limit of ensemble square root filters. Zbl 1477.93163
Lange, Theresa; Stannat, Wilhelm
2021
Nonlocal approaches for multilane traffic models. Zbl 1479.35563
Friedrich, Jan; Göttlich, Simone; Rossi, Elena
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Strong solutions to a modified Michelson-Sivashinsky equation. Zbl 1479.35225
Ibdah, Hussain
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Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. Zbl 1479.35110
Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng
2021
Complete monotonicity-preserving numerical methods for time fractional ODEs. Zbl 1477.65109
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On dissipative solutions to a simplified hyperbolic Ericksen-Leslie system of liquid crystals. Zbl 1496.35309
Cheng, Feng; Jiang, Ning; Luo, Yi-Long
2021
Emergence of stochastic flocking for the discrete Cucker-Smale model with randomly switching topologies. Zbl 1476.34113
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2021
Asymptotic analysis of the Boltzmann equation with very soft potentials from angular cutoff to non-cutoff. Zbl 1479.35098
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Large time behavior for a Hamilton-Jacobi equation in a critical coagulation-fragmentation model. Zbl 1483.35037
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Blowup for $$C^1$$ solutions of compressible Euler equations with time-dependent damping. Zbl 1497.35354
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Invariant domain preserving central schemes for nonlinear hyperbolic systems. Zbl 07440971
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Global well-posedness of the stochastic Camassa-Holm equation. Zbl 1479.35967
Chen, Yong; Duan, Jinqiao; Gao, Hongjun
2021
Dynkin game for callable-puttable convertible bonds: the valuation and sensitivity analysis. Zbl 1475.91355
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Numerical approximations and error analysis of the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1476.65160
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Stability of equilibria to the model for non-isothermal electrokinetics. Zbl 1476.35201
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An improved small data theorem for the Vlasov-Poisson system. Zbl 1479.35117
Schaeffer, Jack
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Unidirectional flocks in hydrodynamic Euler alignment system. II: Singular models. Zbl 1476.35204
Lear, Daniel; Shvydkoy, Roman
2021
Complexity of randomized algorithms for underdamped Langevin dynamics. Zbl 1476.65009
Cao, Yu; Lu, Jianfeng; Wang, Lihan
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Global solutions to rotating motion of isentropic flows with cylindrical symmetry. Zbl 1479.35702
Yuan, Difan
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An ellipsoidal statistical model for a monoatomic and a polyatomic gas mixture. Zbl 1490.76186
Brull, Stéphane
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Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers. Zbl 1490.35282
Qu, Aifang; Wang, Li; Yuan, Hairong
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On entropic solutions to conservation laws coupled with moving bottlenecks. Zbl 1479.35565
Liard, Thibault; Piccoli, Benedetto
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Global dynamics below the ground states for NLS under partial harmonic confinement. Zbl 1475.35309
Ardila, Alex H.; Carles, Rémi
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Analysis of the role of convection in a system describing the tumor-induced angiogenesis. Zbl 1479.35103
Jin, Hai-Yang; Xu, Jiao
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Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion. Zbl 1475.35322
Marty, Renaud
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A regularity criterion for the Navier-Stokes equations via one diagonal entry of the velocity gradient. Zbl 1475.35243
Skalák, Zdeněk
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Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag. Zbl 1484.34114
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi
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Cauchy problem for thermoelastic plate equations with different damping mechanisms. Zbl 1472.35048
Chen, Wenhui
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Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure. Zbl 1467.35317
Bailo, Rafael; Carrillo, José A.; Hu, Jingwei
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Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations. Zbl 1437.65172
Feliu-Fabà, Jordi; Ho, Kenneth L.; Ying, Lexing
2020
2D tropical climate model with fractional dissipation and without thermal diffusion. Zbl 1439.35479
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan
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Constraint energy minimizing generalized multiscale finite element method for dual continuum model. Zbl 1460.65119
Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria
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Global existence for Nernst-Planck-Navier-Stokes system in $$\mathbb{R}^n$$. Zbl 1464.35186
Liu, Jian-Guo; Wang, Jinhuan
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Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum. Zbl 1467.35242
Gong, Huajun; Li, Jinkai; Liu, Xian-Gao; Zhang, Xiaotao
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Forward backward doubly stochastic differential equations and the optimal filtering of diffusion processes. Zbl 1458.60067
Bao, Feng; Cao, Yanzhao; Han, Xiaoying
2020
Criteria for the $$a$$-contraction and stability for the piecewise-smooth solutions to hyperbolic balance laws. Zbl 1462.35198
Krupa, Sam G.
2020
Models of nonlinear acoustics viewed as an approximation of the Navier-Stokes and Euler compressible isentropic systems. Zbl 1467.35239
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Markov jump processes and collision-like models in the kinetic description of multi-agent systems. Zbl 1464.35168
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Intensity fluctuations in random waveguides. Zbl 1462.35477
Garnier, Josselin
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Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems. Zbl 1436.35017
Chalons, Christophe
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An efficient and globally convergent algorithm for $$\ell_{p,q} - \ell_r$$ model in group sparse optimization. Zbl 1436.49037
Xue, Yunhua; Feng, Yanfei; Wu, Chunlin
2020
The Wasserstein distances between pushed-forward measures with applications to uncertainty quantification. Zbl 1457.60004
Sagiv, Amir
2020
The local well-posedness to the density-dependent magnetic Bénard system with nonnegative density. Zbl 1460.35301
Zhong, Xin
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On a nonlocal differential equation describing roots of polynomials under differentiation. Zbl 1467.35272
Granero-Belinchón, Rafael
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Two-front solutions of the SQG equation and its generalizations. Zbl 1464.35227
Hunter, John K.; Shu, Jingyang; Zhang, Qingtian
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Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation. Zbl 1464.35230
Jiu, Quansen; Suo, Xiaoxiao; Wu, Jiahong; Yu, Huan
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A mathematical model for Alzheimer’s disease: an approach via stochastic homogenization of the Smoluchowski equation. Zbl 1464.35361
Franchi, Bruno; Heida, Martin; Lorenzani, Silvia
2020
A class of efficient spectral methods and error analysis for nonlinear Hamiltonian systems. Zbl 1460.65128
An, Jing; Cao, Waixiang; Zhang, Zhimin
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An open microscopic model of heat conduction: evolution and non-equilibrium stationary states. Zbl 1458.60103
Komorowski, Tomasz; Olla, Stefano; Simon, Marielle
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Qualitative analysis of an integrated chemotaxis-fluid model: global existence and extensibility criterion. Zbl 1461.35052
Fan, Jishan; Jing, Lulu; Nakamura, Gen; Zhao, Kun
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Global strong solutions to the Cauchy problem of 1D compressible MHD equations with no resistivity. Zbl 1462.35303
Li, Zilai; Wang, Huaqiao; Ye, Yulin
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Inviscid limit to the shock waves for the fractal Burgers equation. Zbl 1462.35200
Akopian, Sona; Kang, Moon-Jin; Vasseur, Alexis
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Seemingly stable chemical kinetics can be stable, marginally stable, or unstable. Zbl 1459.60104
Agazzi, Andrea; Mattingly, Jonathan C.
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Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation. Zbl 1467.35318
Duong, Manh Hong; Jin, Bangti
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Sampling from rough energy landscapes. Zbl 1466.65010
Plecháč, Petr; Simpson, Gideon
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Global strong solutions to compressible Navier-Stokes system with degenerate heat conductivity and density-depending viscosity. Zbl 1476.76060
Huang, Bin; Shi, Xiaoding; Sun, Ying
2020
Diagram notation for the derivation of hyperbolic moment systems. Zbl 1467.35233
Koellermeier, Julian; Fan, Yuwei
2020
Propagation of the mono-kinetic solution in the Cucker-Smale-type kinetic equations. Zbl 1464.35231
Kang, Moon-Jin; Kim, Jeongho
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Stability for two-dimensional plane Couette flow to the incompressible Navier-Stokes equations with Navier boundary conditions. Zbl 1468.35108
Ding, Shijin; Lin, Zhilin
2020
Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation. Zbl 1464.35402
Shi, Binbin; Wang, Weike
2020
On violent instability of a plasma-vacuum interface for an incompressible plasma flow and a nonzero displacement current in vacuum. Zbl 1462.35314
Trakhinin, Yuri
2020
Regularity results for the Navier-Stokes-Maxwell system. Zbl 1462.35315
Wen, Zhihong; Ye, Zhuan
2020
Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation. Zbl 1460.35210
2020
Existence of large solutions to the Landau-Lifshitz-Bloch equation. Zbl 1462.35377
Hamdache, Kamel; Hamroun, Djamila
2020
Entropy supplementary conservation law for non-linear systems of PDEs with non-conservative terms: application to the modelling and analysis of complex fluid flows using computer algebra. Zbl 1460.35225
Cordesse, Pierre; Massot, Marc
2020
Emergent behaviors of the discrete-time Kuramoto model for generic initial configuration. Zbl 1457.37100
Zhang, Xiongtao; Zhu, Tingting
2020
Numerical study of compressible Navier-Stokes-Cahn-Hilliard system. Zbl 1466.65064
He, Qiaolin; Shi, Xiaoding
2020
Periodic traveling-wave solutions for regularized dispersive equations: sufficient conditions for orbital stability with applications. Zbl 1461.35089
Cristófani, Fabrício; Natali, Fábio; Pastor, Ademir
2020
High-order fully well-balanced Lagrange-projection scheme for shallow water. Zbl 1466.65095
Morales de Luna, Tomás; Castro Díaz, Manuel J.; Chalons, Christophe
2020
On the smooth solutions of Landau-Lifshitz-Bloch equations of antiferromagnets. Zbl 1462.35380
Wang, Yu-Feng; Guo, Bo-Ling; Zeng, Ming
2020
Rademacher complexity and the generalization error of residual networks. Zbl 1467.62158
E, Weinan; Ma, Chao; Wang, Qingcan
2020
Existence and stability of partially congested propagation fronts in a one-dimensional Navier-Stokes model. Zbl 1467.35238
Dalibard, Anne-Laure; Perrin, Charlotte
2020
Bismut-Elworthy-Li formula, singular SDEs, fractional Brownian motion, Malliavin calculus, stochastic flows, stochastic volatility. Zbl 1459.60119
Amine, Oussama; Coffie, Emmanuel; Harang, Fabian; Proske, Frank
2020
A class of functional inequalities and their applications to fourth-order nonlinear parabolic equations. Zbl 1462.35104
Liu, Jian-Guo; Xu, Xiangsheng
2020
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### Cited by 9,629 Authors

 145 Ha, Seung-Yeal 72 Qi, Liqun 69 Carrillo de la Plata, José Antonio 52 Majda, Andrew J. 45 Chung, Tsz Shun Eric 45 Jin, Shi 42 Abdulle, Assyr 41 Wang, Cheng 39 Choi, Young-Pil 37 Degond, Pierre 37 Efendiev, Yalchin R. 35 Du, Qiang 35 Herty, Michael Matthias 33 Kevrekidis, Ioannis George 33 Kurganov, Alexander 33 Liu, Hailiang 31 Burger, Martin 31 Lu, Jianfeng 31 Yang, Xiaofeng 30 Liu, Chun 30 Winkler, Michael 29 Chebotarev, Alexander Yurievich 29 Masmoudi, Nader 29 Wang, Bixiang 28 E, Weinan 28 Jüngel, Ansgar 28 Mai Duc Thanh 28 Wise, Steven M. 28 Zanella, Mattia 27 Göttlich, Simone 26 He, Xiaoming 26 Toscani, Giuseppe 25 Liu, Jianguo 25 Osher, Stanley Joel 25 Pareschi, Lorenzo 25 Perthame, Benoît 24 Shen, Jie 24 Ying, Lexing 23 Kim, Jeongho 23 Li, Yeping 23 Souganidis, Panagiotis E. 23 Yun, Seok-Bae 22 Stuart, Andrew M. 22 Titi, Edriss Saleh 22 Zhang, Xiongtao 21 Kim, Doheon 21 Kim, Junseok 21 Li, Zhuchun 21 Wang, Xiaoming 21 Wu, Jiahong 20 Bao, Weizhu 20 Grasselli, Maurizio 20 Ko, Dongnam 20 Leung, Wingtat 20 Li, Chaoqian 20 Li, Yaotang 20 Minion, Michael L. 20 Park, Hansol 20 Wang, Dehua 20 Wei, Yimin 20 Wu, Hao 20 Yang, Xu 20 Zhang, Mingji 19 Chalons, Christophe 19 Dolbeault, Jean 19 Garcke, Harald 19 Hauck, Cory D. 19 Jentzen, Arnulf 19 Qian, Jianliang 19 Tadmor, Eitan 19 Wang, Quan 19 Zhang, Jiwei 18 Cung The Anh 18 Gunzburger, Max D. 18 Ju, Lili 18 LeFloch, Philippe Gerard 18 Park, Jinyeong 18 Rocca, Elisabetta 18 Samaey, Giovanni 18 Vasseur, Alexis F. 18 Zhang, Pingwen 17 Bellomo, Nicola 17 Berthon, Christophe 17 Coclite, Giuseppe Maria 17 Dimarco, Giacomo 17 Duan, Jinqiao 17 Fernández-Nieto, Enrique Domingo 17 Guo, Boling 17 Harlim, John 17 Lam, Kei Fong 17 Liu, Yicheng 17 Süli, Endre E. 17 Tan, Zhong 17 Tosin, Andrea 17 Tsai, Yen-Hsi Richard 17 Xin, Jack X. 17 Zhang, Qian 17 Zheng, Chunxiong 16 Albi, Giacomo 16 Bisi, Marzia ...and 9,529 more Authors
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### Cited in 551 Journals

 637 Journal of Computational Physics 339 Journal of Differential Equations 243 Journal of Scientific Computing 195 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 194 Journal of Mathematical Analysis and Applications 167 Journal of Computational and Applied Mathematics 165 SIAM Journal on Mathematical Analysis 145 Multiscale Modeling & Simulation 134 Archive for Rational Mechanics and Analysis 129 SIAM Journal on Scientific Computing 128 Computer Methods in Applied Mechanics and Engineering 127 Discrete and Continuous Dynamical Systems. Series B 117 Kinetic and Related Models 115 Physica D 112 Journal of Mathematical Physics 107 Applied Mathematics and Computation 107 Discrete and Continuous Dynamical Systems 101 ZAMP. Zeitschrift für angewandte Mathematik und Physik 100 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 99 Computers & Mathematics with Applications 99 Journal of Statistical Physics 99 Applied Numerical Mathematics 91 SIAM Journal on Numerical Analysis 84 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 80 SIAM Journal on Applied Mathematics 80 Nonlinear Analysis. Real World Applications 80 Communications in Computational Physics 76 Linear Algebra and its Applications 76 Journal of Mathematical Fluid Mechanics 75 Computers and Fluids 75 Nonlinearity 74 Mathematics of Computation 70 Journal of Fluid Mechanics 69 Applied Mathematics Letters 66 Numerische Mathematik 64 Journal of Nonlinear Science 58 Communications in Mathematical Physics 57 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 57 Communications on Pure and Applied Analysis 56 Mathematical Methods in the Applied Sciences 56 Networks and Heterogeneous Media 53 SIAM Journal on Applied Dynamical Systems 51 Journal de Mathématiques Pures et Appliquées. Neuvième Série 50 Calculus of Variations and Partial Differential Equations 49 SIAM Journal on Imaging Sciences 48 Communications on Pure and Applied Mathematics 48 Journal of Mathematical Biology 47 Inverse Problems 46 Applicable Analysis 46 Communications in Partial Differential Equations 46 Frontiers of Mathematics in China 46 Discrete and Continuous Dynamical Systems. Series S 45 Acta Applicandae Mathematicae 45 Science China. Mathematics 44 Physica A 41 Stochastic Processes and their Applications 40 Journal of Functional Analysis 40 Journal of Hyperbolic Differential Equations 36 Quarterly of Applied Mathematics 35 BIT 35 Communications in Nonlinear Science and Numerical Simulation 34 Numerical Algorithms 33 SIAM Journal on Control and Optimization 33 Acta Mathematica Scientia. Series B. (English Edition) 32 The Annals of Applied Probability 32 Computational and Applied Mathematics 32 Journal of Evolution Equations 31 Chinese Annals of Mathematics. Series B 30 Mathematics and Computers in Simulation 30 Journal of Mathematical Imaging and Vision 29 Advances in Computational Mathematics 29 Boundary Value Problems 29 SIAM/ASA Journal on Uncertainty Quantification 27 Linear and Multilinear Algebra 27 Bulletin of Mathematical Biology 27 Numerical Methods for Partial Differential Equations 27 International Journal of Computer Mathematics 26 Applied Mathematics and Optimization 26 European Journal of Applied Mathematics 26 Applied Mathematical Modelling 25 International Journal for Numerical Methods in Engineering 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 Advances in Difference Equations 24 Journal of Theoretical Biology 23 NoDEA. Nonlinear Differential Equations and Applications 23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 23 Journal of Inequalities and Applications 23 Research in the Mathematical Sciences 22 Computational Mechanics 22 Applied and Computational Harmonic Analysis 21 Proceedings of the American Mathematical Society 20 Analysis and Applications (Singapore) 20 Inverse Problems and Imaging 19 Journal of Dynamics and Differential Equations 19 European Journal of Mechanics. B. Fluids 19 Foundations of Computational Mathematics 19 Stochastics and Dynamics 18 Transactions of the American Mathematical Society 18 Mathematical Problems in Engineering 18 Abstract and Applied Analysis ...and 451 more Journals
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### Cited in 57 Fields

 5,030 Partial differential equations (35-XX) 2,930 Numerical analysis (65-XX) 2,866 Fluid mechanics (76-XX) 1,105 Biology and other natural sciences (92-XX) 984 Statistical mechanics, structure of matter (82-XX) 921 Probability theory and stochastic processes (60-XX) 451 Calculus of variations and optimal control; optimization (49-XX) 451 Mechanics of deformable solids (74-XX) 442 Dynamical systems and ergodic theory (37-XX) 427 Ordinary differential equations (34-XX) 345 Linear and multilinear algebra; matrix theory (15-XX) 296 Operations research, mathematical programming (90-XX) 270 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 264 Systems theory; control (93-XX) 259 Optics, electromagnetic theory (78-XX) 240 Geophysics (86-XX) 224 Computer science (68-XX) 218 Classical thermodynamics, heat transfer (80-XX) 217 Quantum theory (81-XX) 215 Statistics (62-XX) 214 Information and communication theory, circuits (94-XX) 165 Combinatorics (05-XX) 163 Operator theory (47-XX) 161 Integral equations (45-XX) 135 Mechanics of particles and systems (70-XX) 84 Harmonic analysis on Euclidean spaces (42-XX) 80 Global analysis, analysis on manifolds (58-XX) 77 Real functions (26-XX) 68 Functional analysis (46-XX) 62 Approximations and expansions (41-XX) 53 Differential geometry (53-XX) 43 Relativity and gravitational theory (83-XX) 41 Astronomy and astrophysics (85-XX) 31 Difference and functional equations (39-XX) 28 Integral transforms, operational calculus (44-XX) 22 Special functions (33-XX) 21 Measure and integration (28-XX) 15 General and overarching topics; collections (00-XX) 13 Potential theory (31-XX) 9 Functions of a complex variable (30-XX) 9 Convex and discrete geometry (52-XX) 7 Commutative algebra (13-XX) 6 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 4 General topology (54-XX) 4 Mathematics education (97-XX) 3 Field theory and polynomials (12-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)