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 Comments: Journal Documents Indexed: 1,430 Publications (since 2003) all top 5 Latest Issues 21, No. 7 (2023) 21, No. 6 (2023) 21, No. 5 (2023) 21, No. 4 (2023) 21, No. 3 (2023) 21, No. 2 (2023) 21, No. 1 (2022) 20, No. 8 (2022) 20, No. 7 (2022) 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. 8 (2021) 19, No. 7 (2021) 19, No. 5 (2021) 19, No. 4 (2021) 19, No. 3 (2021) 19, No. 2 (2021) 19, No. 1 (2021) 18, No. 8 (2020) 18, No. 7 (2020) 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. 8 (2019) 17, No. 7 (2019) 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. 8 (2018) 16, No. 7 (2018) 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. 8 (2017) 15, No. 7 (2017) 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. 8 (2016) 14, No. 7 (2016) 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. 8 (2015) 13, No. 7 (2015) 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. 8 (2014) 12, No. 7 (2014) 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. 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) ...and 22 more Volumes all top 5 Authors 21 Guo, Boling 20 Majda, Andrew J. 16 Ha, Seung-Yeal 15 Osher, Stanley Joel 14 Liu, Chun 13 E, Weinan 13 Liu, Jianguo 13 Tan, Zhong 12 Qi, Liqun 12 Xin, Jack X. 11 Engquist, Bjorn E. 11 Herty, Michael Matthias 11 Ying, Lexing 10 Lu, Jianfeng 10 Wu, Jiahong 9 Jin, Shi 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 Yang, Xu 8 Zheng, Chunxiong 7 Degond, Pierre 7 Du, Qiang 7 Golse, François 7 Perthame, Benoît 7 Piccoli, Benedetto 7 Runborg, Olof 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 Leo 6 Schmeiser, Christian 6 Shi, Xiaoding 6 Stuart, Andrew M. 6 Toscani, Giuseppe 6 Wang, Cheng 6 Xu, Xiangsheng 6 Yue, Xingye 6 Zhang, Hui 6 Zhang, Kaijun 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 Guo, Chunxiao 5 Han, Houde 5 Huang, Zhongyi 5 Iyer, Gautam 5 Jiang, Ning 5 Klar, Axel 5 Kurganov, Alexander 5 Lowengrub, John Samuel 5 Mattingly, Jonathan Christopher 5 Méhats, Florian 5 Mei, Ming 5 Negulescu, Claudia 5 Qi, Yingyong 5 Rangan, Aaditya V. 5 Ringhofer, Christian A. 5 Sainte-Marie, Jacques 5 Seguin, Nicolas 5 Tadmor, Eitan 5 Titi, Edriss Saleh 5 Tosin, Andrea 5 Wang, Qi 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 Cheng, Li-Tien 4 Colombo, Rinaldo M. 4 Constantin, Peter 4 Dolbeault, Jean 4 Dong, Jiu-Gang 4 Emmrich, Etienne 4 Epshteyn, Yekaterina 4 Fatkullin, Ibrahim 4 Ferreira, Lucas Catão de Freitas 4 Goatin, Paola 4 Göttlich, Simone ...and 2,013 more Authors all top 5 Fields 966 Partial differential equations (35-XX) 482 Fluid mechanics (76-XX) 379 Numerical analysis (65-XX) 219 Statistical mechanics, structure of matter (82-XX) 190 Probability theory and stochastic processes (60-XX) 133 Biology and other natural sciences (92-XX) 87 Ordinary differential equations (34-XX) 78 Calculus of variations and optimal control; 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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 Algebraic geometry (14-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,153 Publications have been cited 13,644 times in 10,697 Documents Cited by ▼ Year ▼ The heterogeneous multiscale methods. Zbl 1093.35012 E, Weinan; Engquist, Bjorn 416 2003 Perron-Frobenius theorem for nonnegative tensors. Zbl 1147.15006 Chang, Kung-Ching; Pearson, Kelly; Zhang, Tan 320 2008 A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003 Ha, Seung-Yeal; Liu, Jian-Guo 304 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 194 2003 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008 Kurganov, Alexander; Petrova, Guergana 147 2007 Kinetic models of opinion formation. Zbl 1195.91128 Toscani, Giuseppe 145 2006 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. 132 2006 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244 Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 132 2010 Semi-implicit spectral deferred correction methods for ordinary differential equations. Zbl 1088.65556 Minion, Michael L. 126 2003 Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Zbl 1192.34067 Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron 117 2009 Mean field games and systemic risk. Zbl 1337.91031 Carmona, René; Fouque, Jean-Pierre; Sun, Li-Hsien 110 2015 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 104 2016 \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134 Qi, Liqun 103 2014 The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\). Zbl 1149.35360 Calvez, Vincent; Corrias, Lucilla 96 2008 On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059 Shen, Jie; Tang, Tao; Yang, Jiang 95 2016 Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability. Zbl 1085.65513 Arnold, Anton; Ehrhardt, Matthias; Sofronov, Ivan 89 2003 A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138 Lorz, Alexander 88 2012 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 85 2016 Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105 Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor 82 2004 Synchronization analysis of Kuramoto oscillators. Zbl 1301.34072 Dong, Jiu-Gang; Xue, Xiaoping 82 2013 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 78 2007 On collision-avoiding initial configurations to Cucker-Smale type flocking models. Zbl 1321.92084 Ahn, Shin Mi; Choi, Heesun; Ha, Seung-Yeal; Lee, Ho 77 2012 Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027 Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A. 76 2009 The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044 LeFloch, Philippe G.; Mai Duc Thanh 68 2003 A stochastic epidemic model incorporating media coverage. Zbl 1344.92155 Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming 68 2016 Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004 Bao, Weizhu; Wang, Hanquan; Markowich, Peter A. 65 2005 On the complete phase synchronization for the Kuramoto model in the mean-field limit. Zbl 1345.37065 Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto 65 2015 A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089 Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun 63 2011 On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224 Kukavica, Igor; Vicol, Vlad 63 2013 On selection dynamics for continuous structured populations. Zbl 1176.45009 Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël 62 2008 Gauge method for viscous incompressible flows. Zbl 1160.76329 E, Weinan; Liu, Jian-Guo 59 2003 PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092 Rätz, Andreas; Voigt, Axel 58 2006 Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060 Vanden-Eijnden, Eric 58 2003 Stability estimates for a class of Helmholtz problems. Zbl 1135.35323 Hetmaniuk, U. 56 2007 The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082 LeFloch, Philippe G.; Thanh, Mai Duc 56 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. 56 2004 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 56 2004 Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012 Bouchut, François; Westdickenberg, Michael 55 2004 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 53 2019 Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105 Carles, Rémi 53 2011 Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system. Zbl 1145.49015 Pinnau, René 52 2007 Strong convergence of principle of averaging for multiscale stochastic dynamical systems. Zbl 1208.60057 Liu, Di 52 2010 Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008 Lei, Zhen; Liu, Chun; Zhou, Yi 51 2007 Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040 Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao 51 2010 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 51 2009 The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302 Duan, Jinquiao; Schmalfuss, Björn 51 2003 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 48 2009 Globally hyperbolic regularization of Grad’s moment system in one dimensional space. Zbl 1301.35083 Cai, Zhenning; Fan, Yuwei; Li, Ruo 48 2013 High-order entropy-based closures for linear transport in slab geometry. Zbl 1284.82050 Hauck, Cory D. 47 2011 Well-posedness of 3D vortex sheets with surface tension. Zbl 1130.76016 Ambrose, David M.; Masmoudi, Nader 46 2007 Nonlinear inverse scale space methods. Zbl 1106.68117 Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun 45 2006 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 44 2003 Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093 Kim, Junseok; Kang, Kyungkeun; Lowengrub, John 43 2004 Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016 Schönlieb, Carola-Bibiane; Bertozzi, Andrea 42 2011 Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001 Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo 42 2015 Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Zbl 1309.35071 Chen, Mingtao; Xu, Xinying; Zhang, Jianwen 42 2015 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 42 2015 Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309 Garcke, Harald; Lam, Kei Fong; Stinner, Björn 41 2014 Compressible Navier-Stokes equations with temperature dependent heat conductivity. Zbl 1315.35173 Pan, Ronghua; Zhang, Weizhe 41 2015 Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics. Zbl 1372.76115 Zhang, Jianwen; Zhao, Junning 40 2010 Analysis of the heterogeneous multiscale method for ordinary differential equations. Zbl 1088.65552 E, Weinan 40 2003 Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426 Ma, Tian; Wang, Shouhong 38 2007 New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318 Hu, D.; Lelièvre, T. 38 2007 On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135 Levant, Boris; Ramos, Fabio; Titi, Edriss S. 38 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 38 2003 Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020 Qi, Liqun 38 2015 Infimal convolution regularizations with discrete \(\ell_1\)-type functionals. Zbl 1269.49063 Setzer, S.; Steidl, G.; Teuber, T. 38 2011 Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems. Zbl 1115.60036 Givon, Dror; Kevrekidis, Ioannis G.; Kupferman, Raz 37 2006 Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344 Berthon, Christophe 37 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 36 2005 On the Cahn-Hilliard-Brinkman system. Zbl 1330.35313 Bosia, Stefano; Conti, Monica; Grasselli, Maurizio 36 2015 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 36 2016 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 36 2015 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 36 2018 KPP pulsating front speed-up by flows. Zbl 1152.35055 Ryzhik, Lenya; Zlatos, Andrej 35 2007 S-ROCK methods for stiff Itô SDEs. Zbl 1162.60330 Abdulle, Assyr; Li, Tiejun 35 2008 Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Zbl 1358.35136 Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan 35 2016 A priori estimates of the population risk for two-layer neural networks. Zbl 1427.68277 E, Weinan; Ma, Chao; Wu, Lei 35 2019 Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271 Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs 35 2018 Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326 Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P. 34 2005 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038 Laurençot, Philippe; Perthame, Benoit 34 2009 Application of the Wasserstein metric to seismic signals. Zbl 1305.86006 Engquist, Björn; Froese, Brittany D. 34 2014 Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061 Bertozzi, Andrea L.; Brandman, Jeremy 33 2010 Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Zbl 1084.76020 Hong, Lan; Hunter, John K. 33 2003 Network models for supply chains. Zbl 1115.90008 Göttlich, S.; Herty, M.; Klar, A. 33 2005 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 33 2008 A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178 Engquist, Björn; Ying, Lexing 33 2009 Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031 Lions, Pierre-Louis; Souganidis, Panagiotis E. 33 2010 Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum. Zbl 1280.35096 Luo, Zhen 33 2012 Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057 Constantin, Peter 32 2005 Weak solutions for a bioconvection model related to Bacillus subtilis. Zbl 1302.35069 Vorotnikov, Dmitry 32 2014 Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Zbl 1213.35101 Huang, Feimin; Li, Jing; Shi, Xiaoding 31 2010 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 31 2009 Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073 Zhao, Caidi; Yang, Ling 31 2017 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. 31 2004 Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315 Ma, Tian; Wang, Shouhong 31 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 31 2014 On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029 Bellomo, Nicola; Bellouquid, Abdelghani 31 2015 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 31 2021 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. 30 2003 Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Zbl 1518.35109 Li, Genglin; Winkler, Michael 11 2023 Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model. Zbl 1527.65083 Ji, Bingquan; Zhu, Xiaohan; Liao, Hong-Lin 2 2023 Numerical evidence of exponential mixing by alternating shear flows. Zbl 07713257 Cheng, Li-Tien; Rajasekaran, Frederick; Wong, Kin Yau James; Zlatoš, Andrej 2 2023 Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations. Zbl 1516.65071 Zhao, Chengchao; Liu, Nan; Ma, Yuheng; Zhang, Jiwei 2 2023 Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions. Zbl 1524.81119 Huang, Hang; Landsberg, Joseph M.; Lu, Jianfeng 1 2023 High friction limits of Euler-Navier-Stokes-Korteweg equations for multicomponent models. Zbl 1528.35114 Cianfarani Carnevale, Giada; Lattanzio, Corrado 1 2023 Convergence analysis of structure-preserving numerical methods based on slotboom transformation for the Poisson-Nernst-Planck equations. Zbl 07713254 Ding, Jie; Wang, Cheng; Zhou, Shenggao 1 2023 On the equilibrium of the Poisson-Nernst-Planck-Bikermann model equipping with the steric and correlation effects. Zbl 1516.35427 Liu, Jian-Guo; Tang, Yijia; Zhao, Yu 1 2023 Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations. Zbl 1516.65112 Porteous, William A.; Laiu, Ming Tse P.; Hauck, Cory D. 1 2023 Van der Waals interactions between two hydrogen atoms: the next orders. Zbl 1517.35189 Cancès, Eric; Coyaud, Rafaël; Scott, L. Ridgway 1 2023 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 9 2022 Identification of time-varying source term in time-fractional diffusion equations. Zbl 1483.35342 Kian, Yavar; Soccorsi, Éric; Xue, Qi; Yamamoto, Masahiro 9 2022 Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. Zbl 1489.65124 Shen, Jie; Zhang, Xiangxiong 7 2022 A sharp critical threshold for a traffic flow model with look-ahead dynamics. Zbl 1493.35054 Lee, Yongki; Tan, Changhui 5 2022 Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. Zbl 1524.35627 Schnaubelt, Roland; Spitz, Martin 5 2022 On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient. Zbl 1503.35022 Leitenmaier, Lena; Runborg, Olof 4 2022 An efficient data-driven solver for Fokker-Planck equations: algorithm and analysis. Zbl 1497.65016 Dobson, Matthew; Li, Yao; Zhai, Jiayu 4 2022 Propagator norm and sharp decay estimates for Fokker-Planck equations with linear drift. Zbl 1490.35493 Arnold, Anton; Schmeiser, Christian; Signorello, Beatrice 4 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 4 2022 High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities. Zbl 1518.35140 Chen, Yuxuan; Rădulescu, Vicenţiu D.; Xu, Runzhang 4 2022 Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data. Zbl 1499.35492 Ai, Xiaolian; Li, Zhouyu 4 2022 Mass-energy threshold dynamics for dipolar quantum gases. Zbl 1479.35775 Dinh, Van Duong; Forcella, Luigi; Hajaiej, Hichem 4 2022 Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems. 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Zbl 1476.65009 Cao, Yu; Lu, Jianfeng; Wang, Lihan 2 2021 ...and 1053 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,326 Authors 162 Ha, Seung-Yeal 78 Carrillo de la Plata, José Antonio 74 Qi, Liqun 53 Majda, Andrew J. 50 Chung, Tsz Shun Eric 50 Wang, Cheng 48 Jin, Shi 47 Abdulle, Assyr 43 Choi, Young-Pil 42 Winkler, Michael 41 Degond, Pierre 41 Du, Qiang 41 Efendiev, Yalchin R. 41 Herty, Michael Matthias 40 Kurganov, Alexander 39 Lu, Jianfeng 39 Yang, Xiaofeng 37 Kevrekidis, Ioannis George 36 Liu, Chun 36 Liu, Hailiang 35 Wise, Steven M. 34 Burger, Martin 32 Chebotarev, Alexander Yurievich 32 Mai Duc Thanh 30 Göttlich, Simone 30 He, Xiaoming 30 Jüngel, Ansgar 30 Li, Yeping 30 Masmoudi, Nader 30 Perthame, Benoît 29 E, Weinan 29 Grasselli, Maurizio 29 Toscani, Giuseppe 29 Wang, Bixiang 29 Ying, Lexing 29 Zanella, Mattia 27 Liu, Jianguo 27 Liu, Yicheng 27 Osher, Stanley Joel 27 Pareschi, Lorenzo 27 Shen, Jie 26 Jentzen, Arnulf 26 Kim, Jeongho 26 Kim, Junseok 26 Wang, Xiaoming 26 Wu, Jiahong 25 Ju, Lili 25 Souganidis, Panagiotis E. 25 Stuart, Andrew M. 24 Ko, Dongnam 24 Yun, Seok-Bae 23 Bao, Weizhu 23 Coclite, Giuseppe Maria 23 Garcke, Harald 23 Leung, Wingtat 23 Titi, Edriss Saleh 23 Wang, Xiao 23 Wu, Hao 23 Zhang, Xiongtao 22 Tadmor, Eitan 22 Wei, Yimin 22 Xu, Jie 22 Yang, Haizhao 22 Zhang, Jiwei 21 Chalons, Christophe 21 Chen, Wenbin 21 Fernández-Nieto, Enrique Domingo 21 Guo, Boling 21 Kim, Doheon 21 Li, Chaoqian 21 Li, Zhuchun 21 Minion, Michael L. 21 Park, Hansol 21 Samaey, Giovanni 21 Vasseur, Alexis F. 21 Wang, Dehua 21 Zhang, Mingji 21 Zhang, Xianwen 20 Cung The Anh 20 Dolbeault, Jean 20 Gunzburger, Max D. 20 Harlim, John 20 Hauck, Cory D. 20 Li, Ruo 20 Li, Yaotang 20 Qian, Jianliang 20 Shim, Woojoo 20 Tosin, Andrea 20 Tsai, Yen-Hsi Richard 20 Wang, Quan 20 Yang, Xu 20 Zhang, Pingwen 20 Zhang, Qian 19 Cai, Yongyong 19 Dimarco, Giacomo 19 Duan, Jinqiao 19 LeFloch, Philippe Gerard 19 Li, Qin 19 Markowich, Peter Alexander 19 Morales de Luna, Tomás ...and 11,226 more Authors all top 5 Cited in 601 Journals 727 Journal of Computational Physics 410 Journal of Differential Equations 282 Journal of Scientific Computing 217 M\(^3\)AS. 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