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: 1,473 Publications (since 2003) all top 5 Latest Issues 22, No. 3 (2024) 22, No. 2 (2024) 22, No. 1 (2024) 21, No. 8 (2023) 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) ...and 26 more Volumes all top 5 Authors 21 Guo, Boling 20 Majda, Andrew Joseph 16 Ha, Seung-Yeal 15 Osher, Stanley Joel 14 Liu, Chun 14 Tan, Zhong 13 E, Weinan 13 Liu, Jianguo 12 Herty, Michael Matthias 12 Qi, Liqun 12 Xin, Jack X. 12 Ying, Lexing 11 Engquist, Bjorn E. 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 Shi, Xiaoding 7 Zhou, Douglas 7 Zhu, Changjiang 6 Bertozzi, Andrea Louise 6 Cai, David 6 Carrillo de la Plata, José Antonio 6 Garnier, Josselin 6 Jüngel, Ansgar 6 Kovačič, Gregor 6 Li, Tiejun 6 Liu, Hailiang 6 Mei, Ming 6 Pego, Robert Leo 6 Schmeiser, Christian 6 Stuart, Andrew M. 6 Toscani, Giuseppe 6 Tosin, Andrea 6 Wang, Cheng 6 Xu, Xiangsheng 6 Yue, Xingye 6 Zhang, Hui 6 Zhang, Kaijun 6 Zhou, Xiang 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 Göttlich, Simone 5 Guo, Chunxiao 5 Han, Houde 5 Heitzinger, Clemens 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 Negulescu, Claudia 5 Qi, Yingyong 5 Rangan, Aaditya V. 5 Ringhofer, Christian A. 5 Sainte-Marie, Jacques 5 Seguin, Nicolas 5 Shen, Jie 5 Tadmor, Eitan 5 Titi, Edriss Saleh 5 Wang, Qi 5 Ye, Zhuan 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 Chen, Yanping 4 Cheng, Li-Tien 4 Colombo, Rinaldo M. 4 Constantin, Peter 4 Dolbeault, Jean 4 Dong, Jiu-Gang 4 Emmrich, Etienne ...and 2,099 more Authors all top 5 Fields 998 Partial differential equations (35-XX) 499 Fluid mechanics (76-XX) 391 Numerical analysis (65-XX) 221 Statistical mechanics, structure of matter (82-XX) 191 Probability theory and stochastic processes (60-XX) 134 Biology and other natural sciences (92-XX) 88 Ordinary differential equations (34-XX) 81 Calculus of variations and optimal control; 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Zbl 1093.35012 E, Weinan; Engquist, Bjorn 460 2003 A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003 Ha, Seung-Yeal; Liu, Jian-Guo 343 2009 Perron-Frobenius theorem for nonnegative tensors. Zbl 1147.15006 Chang, Kung-Ching; Pearson, Kelly; Zhang, Tan 336 2008 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 216 2003 A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008 Kurganov, Alexander; Petrova, Guergana 171 2007 Kinetic models of opinion formation. Zbl 1195.91128 Toscani, Giuseppe 168 2006 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244 Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 152 2010 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. 143 2006 Semi-implicit spectral deferred correction methods for ordinary differential equations. Zbl 1088.65556 Minion, Michael L. 134 2003 Mean field games and systemic risk. Zbl 1337.91031 Carmona, René; Fouque, Jean-Pierre; Sun, Li-Hsien 123 2015 Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Zbl 1192.34067 Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron 123 2009 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 122 2016 The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\). Zbl 1149.35360 Calvez, Vincent; Corrias, Lucilla 112 2008 On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059 Shen, Jie; Tang, Tao; Yang, Jiang 112 2016 \(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134 Qi, Liqun 106 2014 A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138 Lorz, Alexander 104 2012 Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability. Zbl 1085.65513 Arnold, Anton; Ehrhardt, Matthias; Sofronov, Ivan 96 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 90 2016 Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027 Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A. 89 2009 Synchronization analysis of Kuramoto oscillators. Zbl 1301.34072 Dong, Jiu-Gang; Xue, Xiaoping 88 2013 Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105 Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor 85 2004 On collision-avoiding initial configurations to Cucker-Smale type flocking models. Zbl 1321.92084 Ahn, Shin Mi; Choi, Heesun; Ha, Seung-Yeal; Lee, Ho 83 2012 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 77 2007 A stochastic epidemic model incorporating media coverage. Zbl 1344.92155 Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming 75 2016 Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004 Bao, Weizhu; Wang, Hanquan; Markowich, Peter A. 73 2005 The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044 LeFloch, Philippe G.; Mai Duc Thanh 73 2003 On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224 Kukavica, Igor; Vicol, Vlad 73 2013 On the complete phase synchronization for the Kuramoto model in the mean-field limit. Zbl 1345.37065 Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto 72 2015 A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089 Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun 70 2011 PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092 Rätz, Andreas; Voigt, Axel 66 2006 On selection dynamics for continuous structured populations. Zbl 1176.45009 Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël 66 2008 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. 65 2004 Gauge method for viscous incompressible flows. Zbl 1160.76329 E, Weinan; Liu, Jian-Guo 64 2003 The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082 LeFloch, Philippe G.; Thanh, Mai Duc 60 2007 Stability estimates for a class of Helmholtz problems. Zbl 1135.35323 Hetmaniuk, U. 60 2007 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 59 2004 Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105 Carles, Rémi 59 2011 Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060 Vanden-Eijnden, Eric 58 2003 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 58 2009 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 58 2019 Strong convergence of principle of averaging for multiscale stochastic dynamical systems. Zbl 1208.60057 Liu, Di 57 2010 Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system. Zbl 1145.49015 Pinnau, René 56 2007 Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008 Lei, Zhen; Liu, Chun; Zhou, Yi 54 2007 Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040 Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao 54 2010 Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012 Bouchut, François; Westdickenberg, Michael 53 2004 Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Zbl 1309.35071 Chen, Mingtao; Xu, Xinying; Zhang, Jianwen 52 2015 Compressible Navier-Stokes equations with temperature dependent heat conductivity. Zbl 1315.35173 Pan, Ronghua; Zhang, Weizhe 52 2015 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 51 2009 The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302 Duan, Jinquiao; Schmalfuss, Björn 51 2003 Globally hyperbolic regularization of Grad’s moment system in one dimensional space. Zbl 1301.35083 Cai, Zhenning; Fan, Yuwei; Li, Ruo 51 2013 High-order entropy-based closures for linear transport in slab geometry. Zbl 1284.82050 Hauck, Cory D. 50 2011 Nonlinear inverse scale space methods. Zbl 1106.68117 Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun 49 2006 Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016 Schönlieb, Carola-Bibiane; Bertozzi, Andrea 49 2011 Well-posedness of 3D vortex sheets with surface tension. Zbl 1130.76016 Ambrose, David M.; Masmoudi, Nader 48 2007 Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics. Zbl 1372.76115 Zhang, Jianwen; Zhao, Junning 48 2010 Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001 Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo 47 2015 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 46 2003 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 45 2015 Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309 Garcke, Harald; Lam, Kei Fong; Stinner, Björn 45 2014 Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426 Ma, Tian; Wang, Shouhong 44 2007 Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093 Kim, Junseok; Kang, Kyungkeun; Lowengrub, John 44 2004 Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073 Zhao, Caidi; Yang, Ling 43 2017 Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271 Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs 43 2018 New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318 Hu, D.; Lelièvre, T. 42 2007 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 42 2021 Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model. Zbl 1390.35007 Barrett, John W.; Lu, Yong; Süli, Endre 42 2017 Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020 Qi, Liqun 42 2015 A priori estimates of the population risk for two-layer neural networks. Zbl 1427.68277 E, Weinan; Ma, Chao; Wu, Lei 41 2019 Analysis of the heterogeneous multiscale method for ordinary differential equations. Zbl 1088.65552 E, Weinan 40 2003 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 40 2003 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 40 2015 Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems. Zbl 1115.60036 Givon, Dror; Kevrekidis, Ioannis G.; Kupferman, Raz 40 2006 On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135 Levant, Boris; Ramos, Fabio; Titi, Edriss S. 40 2010 Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Zbl 1427.34103 Pignotti, Cristina; Trélat, Emmanuel 40 2018 Infimal convolution regularizations with discrete \(\ell_1\)-type functionals. Zbl 1269.49063 Setzer, S.; Steidl, G.; Teuber, T. 39 2011 Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344 Berthon, Christophe 39 2005 On the Cahn-Hilliard-Brinkman system. Zbl 1330.35313 Bosia, Stefano; Conti, Monica; Grasselli, Maurizio 39 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 39 2018 Application of the Wasserstein metric to seismic signals. Zbl 1305.86006 Engquist, Björn; Froese, Brittany D. 39 2014 Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061 Bertozzi, Andrea L.; Brandman, Jeremy 37 2010 S-ROCK methods for stiff Itô SDEs. Zbl 1162.60330 Abdulle, Assyr; Li, Tiejun 37 2008 Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Zbl 1518.35109 Li, Genglin; Winkler, Michael 37 2023 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 37 2016 Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Zbl 1358.35136 Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan 37 2016 A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178 Engquist, Björn; Ying, Lexing 37 2009 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 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. 35 2003 Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Zbl 1084.76020 Hong, Lan; Hunter, John K. 35 2003 KPP pulsating front speed-up by flows. Zbl 1152.35055 Ryzhik, Lenya; Zlatos, Andrej 35 2007 Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057 Constantin, Peter 35 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 35 2008 Transonic shock solutions for a system of Euler-Poisson equations. Zbl 1286.35165 Luo, Tao; Xin, Zhouping 35 2012 On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029 Bellomo, Nicola; Bellouquid, Abdelghani 34 2015 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 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 34 2009 Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Zbl 1213.35101 Huang, Feimin; Li, Jing; Shi, Xiaoding 34 2010 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038 Laurençot, Philippe; Perthame, Benoit 34 2009 Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum. Zbl 1280.35096 Luo, Zhen 34 2012 Network models for supply chains. Zbl 1115.90008 Göttlich, S.; Herty, M.; Klar, A. 33 2005 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 A general framework for nonlocal Neumann problems. Zbl 07830582 Foghem, Guy; Kassmann, Moritz 8 2024 Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain. Zbl 1540.35367 Chen, Yazhou; Huang, Bin; Shi, Xiaoding 3 2024 On the properties of affine solutions of cold plasma equations. Zbl 1534.35042 Rozanova, Olga S.; Turzynsky, Marko K. 2 2024 Unified asymptotic analysis and numerical simulations of singularly perturbed linear differential equations under various nonlocal boundary effects. Zbl 1541.34036 Chen, Xianjin; Lee, Chiun-Chang; Mizuno, Masashi 1 2024 Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in \(\mathbb{R}^2\). Zbl 1542.35007 Li, Sirui; Wang, Chenchen; Xu, Jie 1 2024 A quadratic spline projection method for computing stationary densities of random maps. Zbl 1541.65007 Alshekhi, Azzah; Ding, Jiu; Rhee, Noah 1 2024 Spatial manifestations of order reduction in Runge-Kutta methods for initial boundary value problems. Zbl 1545.65314 Rosales, Rodolfo Ruben; Seibold, Benjamin; Shirokoff, David; Zhou, Dong 1 2024 Autonomous vehicles driving traffic: the Cauchy problem. Zbl 1542.35249 Garavello, Mauro; Marcellini, Francesca 1 2024 Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation. Zbl 1534.65200 Feng, Yue; Ma, Ying 1 2024 Energy method for the Boltzmann equation of monatomic gaseous mixtures. Zbl 1534.35282 Boudin, Laurent; Grec, Bérénice; Pavić-Čolić, Milana; Simić, Srboljub 1 2024 Existence and decay of global strong solutions to the nonhomogeneous incompressible liquid crystal system with vacuum and density-dependent viscosity. Zbl 1534.35341 Ye, Xia; Zhu, Mingxuan 1 2024 Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Zbl 1518.35109 Li, Genglin; Winkler, Michael 37 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 7 2023 An energy stable finite difference scheme for the Ericksen-Leslie system with penalty function and its optimal rate convergence analysis. Zbl 07713441 Cheng, Kelong; Wang, Cheng; Wise, Steven M. 6 2023 Long term spatial homogeneity for a chemotaxis model with local sensing and consumption. Zbl 1527.35075 Laurençot, Philippe 6 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 6 2023 Dual quaternion matrices in multi-agent formation control. Zbl 1528.15006 Qi, Liqun; Wang, Xiangke; Luo, Ziyan 5 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 4 2023 Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension. Zbl 1518.35084 Chu, Jiawei; Jin, Hai-Yang; Xiang, Tian 3 2023 Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term. Zbl 1528.35006 Yu, Huimin; Zhang, Xiaomin; Sun, Jiawei 3 2023 Error estimate of the nonuniform \(L1\) type formula for the time fractional diffusion-wave equation. Zbl 1527.65074 Sun, Hong; Chen, Yanping; Zhao, Xuan 3 2023 Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump. Zbl 1527.35032 Bunoiu, Renata; Ramdani, Karim; Timofte, Claudia 3 2023 Robust estimation of effective diffusions from multiscale data. Zbl 1518.60072 Garegnani, Giacomo; Zanoni, Andrea 2 2023 Numerical evidence of exponential mixing by alternating shear flows. Zbl 1548.76205 Cheng, Li-Tien; Rajasekaran, Frederick; Wong, Kin Yau James; Zlatoš, Andrej 2 2023 Van der Waals interactions between two hydrogen atoms: the next orders. Zbl 1517.35189 Cancès, Eric; Coyaud, Rafaël; Scott, L. Ridgway 2 2023 A Wasserstein norm for signed measures, with application to non-local transport equation with source term. Zbl 1527.35336 Piccoli, Benedetto; Rossi, Francesco; Tournus, Magali 2 2023 Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field. Zbl 1527.35271 Cui, Xiufang; Li, Shengxin; Xie, Feng 2 2023 Fokker-Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results. Zbl 1538.35387 Auricchio, Ferdinando; Toscani, Giuseppe; Zanella, Mattia 2 2023 A Cahn-Hilliard model coupled to viscoelasticity with large deformations. Zbl 1534.35307 Agosti, Abramo; Colli, Pierluigi; Garcke, Harald; Rocca, Elisabetta 2 2023 A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity. Zbl 1534.65152 Birke, Claudius; Chalons, Christophe; Klingenberg, Christian 2 2023 Optimal large time behavior of the compressible bipolar Navier-Stokes-Poisson system. Zbl 1518.35080 Chen, Qing; Wu, Guochun; Zhang, Yinghui 1 2023 On anisotropic non-Lipschitz restoration model: lower bound theory and iterative algorithm. Zbl 1518.49030 Wu, Chunlin; Lin, Xuan; Zhao, Yufei 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 Location of concentrated vortices in planar steady Euler flows. Zbl 1516.35323 Wang, Guodong; Zuo, Bijun 1 2023 A derivative-free conjugate gradient method for large-scale nonlinear systems of monotone equations. 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Zbl 1513.76171 Liu, Shengquan; Liu, Qiao 1 2022 ...and 1128 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,676 Authors 173 Ha, Seung-Yeal 81 Carrillo de la Plata, José Antonio 81 Qi, Liqun 54 Majda, Andrew Joseph 53 Jin, Shi 53 Wang, Cheng 52 Chung, Tsz Shun Eric 49 Winkler, Michael 48 Abdulle, Assyr 46 Choi, Young-Pil 45 Du, Qiang 45 Kevrekidis, Ioannis George 44 Herty, Michael Matthias 44 Kurganov, Alexander 42 Efendiev, Yalchin R. 42 Yang, Xiaofeng 41 Degond, Pierre 40 Lu, Jianfeng 40 Shen, Jie 39 Zanella, Mattia 38 Liu, Chun 37 Wise, Steven M. 36 Liu, Hailiang 35 Chebotarev, Alexander Yurievich 34 Burger, Martin 34 He, Xiaoming 34 Li, Yeping 34 Mai Duc Thanh 33 Göttlich, Simone 33 Jüngel, Ansgar 33 Kim, Junseok 33 Liu, Jianguo 33 Masmoudi, Nader 33 Toscani, Giuseppe 32 E, Weinan 31 Liu, Yicheng 31 Perthame, Benoît 30 Grasselli, Maurizio 30 Pareschi, Lorenzo 30 Ying, Lexing 29 Jentzen, Arnulf 29 Ju, Lili 29 Wang, Bixiang 29 Wang, Xiaoming 29 Wu, Jiahong 28 Kim, Jeongho 27 Osher, Stanley Joel 27 Stuart, Andrew M. 27 Ye, Zhuan 26 Ko, Dongnam 26 Titi, Edriss Saleh 26 Wu, Hao 26 Yun, Seok-Bae 26 Zhang, Jiwei 25 Bao, Weizhu 25 Coclite, Giuseppe Maria 25 Garcke, Harald 25 Guo, Boling 25 Souganidis, Panagiotis E. 25 Tan, Zhong 25 Yang, Haizhao 24 Kim, Doheon 24 Wei, Yimin 24 Zhang, Mingji 24 Zhang, Qian 23 Chen, Wenbin 23 Dolbeault, Jean 23 Duan, Jinqiao 23 Leung, Wingtat 23 Qiao, Zhonghua 23 Zhang, Xiongtao 23 Zhong, Xin 23 Zhu, Changjiang 22 Chalons, Christophe 22 Cung The Anh 22 Harlim, John 22 Li, Ruo 22 Minion, Michael L. 22 Morales de Luna, Tomás 22 Park, Hansol 22 Samaey, Giovanni 22 Süli, Endre E. 22 Tadmor, Eitan 22 Wang, Dehua 22 Wang, Quan 22 Xin, Jack X. 22 Yang, Junxiang 22 Zhang, Xianwen 21 Bellomo, Nicola 21 Dimarco, Giacomo 21 Fernández-Nieto, Enrique Domingo 21 Gunzburger, Max Donald 21 Li, Chaoqian 21 Peterseim, Daniel 21 Qian, Jianliang 21 Qian, Xu 21 Rocca, Elisabetta 21 Shim, Woojoo 21 Tsai, Yen-Hsi Richard 21 Vasseur, Alexis F. ...and 12,576 more Authors all top 5 Cited in 633 Journals 786 Journal of Computational Physics 461 Journal of Differential Equations 319 Journal of Scientific Computing 243 Journal of Mathematical Analysis and Applications 238 SIAM Journal on Mathematical Analysis 229 M\(^3\)AS. 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