Edit Profile Bao, Weizhu Compute Distance To: Compute Author ID: bao.weizhu Published as: Bao, W.; Bao, WeiZhu; Bao, Weizhu Homepage: http://ww1.math.nus.edu.sg/staff.aspx?s=matbaowz Documents Indexed: 130 Publications since 1994, including 1 Book all top 5 Co-Authors 14 single-authored 15 Han, Houde 14 Cai, Yongyong 11 Tang, Qinglin 11 Zhang, Yanzhi 9 Jin, Shi 8 Markowich, Peter Alexander 6 Dong, Xuanchun 6 Zhao, Xiaofei 5 Su, Chunmei 4 Du, Qiang 4 Lim, Fong Yin 4 Ruan, Xinran 4 Shen, Jie 4 Wang, Hanquan 3 Jaksch, Dieter 3 Jia, Xiaowei 3 Yin, Jia 3 Zhang, Yong 3 Zhao, Quan 2 Carles, Rémi 2 Chern, I-Liang 2 Jiang, Shidong 2 Jiang, Wei 2 Le Treust, Loïc 2 Li, Hailiang 2 Mauser, Norbert Julius 2 Méhats, Florian 2 Sun, Fangfang 2 Wang, Yan 2 Weishäupl, Rada-Maria 2 Xu, Zhiguo 2 Zeng, Rong 1 Antoine, Xavier 1 Barrett, John W. 1 Bathe, Klaus-Jürgen 1 Ben Abdallah, Naoufel 1 Besse, Christophe 1 Cai, Zhenning 1 Chai, Ming-Huang 1 Chen, Rui 1 Ge, Yunyi 1 Greengard, Leslie F. 1 Ha, Seung-Yeal 1 Huang, Zhongyi 1 Jian, Huaiyu 1 Jiang, Wei 1 Jiang, Wei 1 Kim, Dohyun 1 Li, Xianggui 1 Lin, Bo 1 Liu, Jianguo 1 Lu, Jinfu 1 Marahrens, Daniel 1 Mishra, Siddhartha 1 Pareschi, Lorenzo 1 Schmeiser, Christian 1 Sheng, Changtao 1 Shi, Shaoyun 1 Srolovitz, David J. 1 Stimming, Hans Peter 1 Tang, Tao 1 Tang, Weijun 1 Wang, Shu 1 Wang, Tao 1 Wang, Xiaodong 1 Wei, Guowei 1 Wen, Zaiwen 1 Wu, Xinming 1 Xin, Jack X. 1 Xin, Wen 1 Yang, Li 1 Zhang, Hui 1 Zheng, Chunxiong 1 Zhuang, Chijie all top 5 Serials 22 Journal of Computational Physics 13 SIAM Journal on Scientific Computing 10 Computer Methods in Applied Mechanics and Engineering 8 SIAM Journal on Numerical Analysis 6 SIAM Journal on Applied Mathematics 6 Communications in Computational Physics 5 Numerische Mathematik 5 Physica D 4 Mathematics of Computation 4 Journal of Computational Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Multiscale Modeling & Simulation 3 Communications in Mathematical Sciences 3 Kinetic and Related Models 2 Computer Physics Communications 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Methods and Applications of Analysis 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Nonlinearity 1 Applied Mathematics and Computation 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Asymptotic Analysis 1 Journal of Tsinghua University. Science and Technology 1 European Journal of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Study 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 1 Science China. Mathematics 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences all top 5 Fields 87 Numerical analysis (65-XX) 77 Partial differential equations (35-XX) 39 Quantum theory (81-XX) 35 Statistical mechanics, structure of matter (82-XX) 25 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 113 Publications have been cited 2,130 times in 857 Documents Cited by ▼ Year ▼ On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112Bao, Weizhu; Jin, Shi; Markowich, Peter A. 139 2002 Mathematical theory and numerical methods for Bose-Einstein condensation. Zbl 1266.82009Bao, Weizhu; Cai, Yongyong 131 2013 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025Bao, Weizhu; Du, Qiang 131 2004 Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A. 104 2003 Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130Antoine, Xavier; Bao, Weizhu; Besse, Christophe 80 2013 Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034Bao, Weizhu 72 2004 Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099Bao, Weizhu; Jin, Shi; Markowich, Peter A. 70 2003 Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1248.65087Bao, Weizhu; Dong, Xuanchun 58 2012 Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator. Zbl 1246.35188Bao, Weizhu; Cai, Yongyong 55 2012 A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates. Zbl 1084.35083Bao, Weizhu; Shen, Jie 55 2005 Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. Zbl 1264.65146Bao, Weizhu; Cai, Yongyong 53 2013 Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates. Zbl 1198.82036Bao, Weizhu; Cai, Yongyong; Wang, Hanquan 43 2010 Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004Bao, Weizhu; Wang, Hanquan; Markowich, Peter A. 43 2005 Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations. Zbl 1125.65093Bao, Weizhu; Yang, Li 42 2007 An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity. Zbl 1054.35088Bao, Weizhu; Jaksch, Dieter 38 2003 Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional. Zbl 1028.82500Bao, Weizhu; Tang, Weijun 38 2003 Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation. Zbl 1141.35052Bao, Weizhu; Du, Qiang; Zhang, Yanzhi 36 2006 The random projection method for hyperbolic conservation laws with stiff reaction terms. Zbl 0966.65073Bao, Weizhu; Jin, Shi 33 2000 A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1310.65131Bao, Weizhu; Cai, Yongyong; Zhao, Xiaofei 31 2014 Ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction. Zbl 1290.35236Bao, Weizhu; Cai, Yongyong 31 2011 An efficient and stable numerical method for the Maxwell–Dirac system. Zbl 1056.81080Bao, Weizhu; Li, Xianggui 31 2004 An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates. Zbl 1160.82343Bao, Weizhu; Wang, Hanquan 30 2006 Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation. Zbl 1130.82023Zhang, Yanzhi; Bao, Weizhu; Li, Hailiang 29 2007 Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates. Zbl 1330.82031Bao, Weizhu; Chern, I-Liang; Lim, Fong Yin 29 2006 Numerical methods for the generalized Zakharov system. Zbl 1236.76043Bao, Weizhu; Sun, Fangfang; Wei, Guo Wei 28 2003 A generalized-Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates. Zbl 1205.82096Bao, Weizhu; Li, Hailiang; Shen, Jie 24 2009 Efficient and stable numerical methods for the generalized and vector Zakharov system. Zbl 1076.35114Bao, Weizhu; Sun, Fangfang 22 2005 An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei 21 2013 Computing ground states of spin-1 Bose-Einstein condensates by the normalized gradient flow. Zbl 1173.81028Bao, Weizhu; Lim, Fong Yin 21 2008 Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator. Zbl 1339.35279Bao, Weizhu; Cai, Yongyong 20 2014 A simple and efficient numerical method for computing the dynamics of rotating Bose–Einstein condensates via rotating Lagrangian coordinates. Zbl 1286.35213Bao, Weizhu; Marahrens, Daniel; Tang, Qinglin; Zhang, Yanzhi 20 2013 Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-X\(_\alpha\) model. Zbl 1160.81497Bao, Weizhu; Mauser, N. J.; Stimming, H. P. 20 2003 Dynamics of the ground state and central vortex states in Bose-Einstein condensation. Zbl 1154.82313Bao, Weizhu; Zhang, Yanzhi 19 2005 A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation. Zbl 1361.65080Bao, Weizhu; Zhao, Xiaofei 18 2017 Error estimates for the finite element approximation of problems in unbounded domains. Zbl 1001.65118Han, Houde; Bao, Weizhu 17 2000 Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei 16 2014 Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation. Zbl 1291.35329Bao, Weizhu; Tang, Qinglin; Xu, Zhiguo 16 2013 Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. Zbl 1220.83023Bao, Weizhu; Dong, Xuanchun 16 2011 A mass and magnetization conservative and energy-diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates. Zbl 1149.82018Bao, Weizhu; Wang, Hanquan 15 2007 A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method. Zbl 0810.76052Han, Houde; Lu, Jinfu; Bao, Weizhu 15 1994 A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime. Zbl 1373.82086Bao, Weizhu; Zhao, Xiaofei 14 2016 Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime. Zbl 1365.65208Bao, WeiZhu; Cai, YongYong; Jia, XiaoWei; Yin, Jia 14 2016 A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. Zbl 1149.76039Bao, Weizhu; Shen, Jie 14 2008 An artificial boundary condition for two-dimensional incompressible viscous flows using the method of lines. Zbl 0865.76062Han, Houde; Bao, Weizhu 14 1996 Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime. Zbl 1370.81053Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin 13 2017 Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation. Zbl 1202.35311Zhang, Yanzhi; Bao, Weizhu; Du, Qiang 13 2007 A regularized Newton method for computing ground states of Bose-Einstein condensates. Zbl 1433.82025Wu, Xinming; Wen, Zaiwen; Bao, Weizhu 12 2017 Numerical methods for the nonlinear Schrödinger equation with nonzero far-field conditions. Zbl 1090.65116Bao, Weizhu 12 2004 An artificial boundary condition for the incompressible viscous flows in a no-slip channel. Zbl 0818.76067Han, Houde; Bao, Weizhu 12 1995 Ground states and dynamics of spin-orbit-coupled Bose-Einstein condensates. Zbl 1335.35227Bao, Weizhu; Cai, Yongyong 11 2015 Mathematical models and numerical methods for Bose-Einstein condensation. Zbl 1373.35283Bao, Weizhu 11 2014 Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations. Zbl 1349.82069Bao, Weizhu; Chern, I-Liang; Zhang, Yanzhi 11 2013 The dynamics and interaction of quantized vortices in the Ginzburg-Landau-Schrödinger equation. Zbl 1220.35165Zhang, Yanzhi; Bao, Weizhu; Du, Qiang 10 2007 The random projection method for stiff multispecies detonation capturing. Zbl 1017.76073Bao, Weizhu; Jin, Shi 10 2002 The random projection method for stiff detonation capturing. Zbl 0997.80013Bao, Weizhu; Jin, Shi 10 2001 A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-Newtonian flow. Zbl 0912.76025Bao, Weizhu; Barrett, John W. 10 1998 Numerical simulation for the problem of infinite elastic foundation. Zbl 0896.73058Han, Houde; Bao, Weizhu; Wang, Tao 10 1997 A uniformly accurate multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime. Zbl 1346.35171Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin 9 2016 Fast and accurate evaluation of nonlocal Coulomb and dipole-dipole interactions via the nonuniform FFT. Zbl 1307.65184Jiang, Shidong; Greengard, Leslie; Bao, Weizhu 8 2014 Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement. Zbl 1246.35187Bao, Weizhu; Ben Abdallah, Naoufel; Cai, Yongyong 8 2012 Numerical study of quantized vortex interactions in the nonlinear Schrödinger equation on bounded domains. Zbl 1320.35317Bao, Weizhu; Tang, Qinglin 7 2014 Singular limits of Klein-Gordon-Schrödinger equations to Schrödinger-Yukawa equations. Zbl 1210.35223Bao, Weizhu; Dong, Xuanchun; Wang, Shu 7 2010 Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205Bao, Weizhu; Dong, Xuanchun; Xin, Jack 7 2010 On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M. 7 2005 An economical finite element approximation of generalized Newtonian flows. Zbl 1101.76351Bao, Weizhu 7 2002 High-order local artificial boundary conditions for problems in unbounded domains. Zbl 0957.65096Bao, Weizhu; Han, Houde 7 2000 The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines. Zbl 0949.65127Han, Houde; Bao, Weizhu 7 1999 A parametric finite element method for solid-state dewetting problems with anisotropic surface energies. Zbl 1378.76043Bao, Weizhu; Jiang, Wei; Wang, Yan; Zhao, Quan 6 2017 Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT. Zbl 1388.65115Bao, Weizhu; Tang, Qinglin; Zhang, Yong 6 2016 Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT. Zbl 1354.65200Bao, Weizhu; Jiang, Shidong; Tang, Qinglin; Zhang, Yong 6 2015 Quantized vortex stability and interaction in the nonlinear wave equation. Zbl 1147.82037Bao, Weizhu; Zeng, Rong; Zhang, Yanzhi 6 2008 Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. Zbl 0997.74060Han, Houde; Bao, Weizhu 6 2001 Nonlocal artificial boundary conditions for the incompressible viscous flow in a channel using spectral techniques. Zbl 0853.76054Bao, Weizhu; Han, Houde 6 1996 Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime. Zbl 1387.65082Bao, Weizhu; Su, Chunmei 5 2018 Stable equilibria of anisotropic particles on substrates: a generalized Winterbottom construction. Zbl 1386.74059Bao, Weizhu; Jiang, Wei; Srolovitz, David J.; Wang, Yan 5 2017 Dimension reduction of the Schrödinger equation with Coulomb and anisotropic confining potentials. Zbl 1294.35130Bao, Weizhu; Jian, Huaiyu; Mauser, Norbert J.; Zhang, Yong 5 2013 Dynamics of the center of mass in rotating Bose-Einstein condensates. Zbl 1190.82049Zhang, Yanzhi; Bao, Weizhu 5 2007 Weakly compressible high-order \(I\)-stable central difference schemes for incompressible viscous flows. Zbl 1054.76060Bao, Weizhu; Jin, Shi 5 2001 The artificial boundary conditions for incompressible materials in an unbounded domain. Zbl 0892.73062Han, H.; Bao, W. 5 1997 Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 4 2019 Numerical study of quantized vortex interaction in the Ginzburg-Landau equation on bounded domains. Zbl 1388.65046Bao, Weizhu; Tang, Qinglin 4 2013 A uniformly convergent numerical method for singularly perturbed nonlinear eigenvalue problems. Zbl 1364.81015Bao, Weizhu; Chai, Ming-Huang 4 2008 A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities. Zbl 1164.78320Bao, Weizhu; Zheng, Chunxiong 4 2007 Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A. 4 2004 Approximation and comparison for motion by mean curvature with intersection points. Zbl 1049.65012Bao, Weizhu 4 2003 The direct method of lines for the problem of infinite elastic foundation. Zbl 0947.74076Bao, Weizhu; Han, Houde 4 1999 Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates. Zbl 1206.35225Bao, Weizhu; Zhang, Yanzhi 3 2010 Convergence rate of dimension reduction in Bose-Einstein condensates. Zbl 1196.82065Bao, Weizhu; Ge, Yunyi; Jaksch, Dieter; Markowich, Peter A.; Weishäupl, Rada M. 3 2007 The nonlinear Schrödinger equation and applications in Bose-Einstein condensation and plasma physics. Zbl 1140.82037Bao, Weizhu 3 2007 Energy and chemical potential asymptotics for the ground state of Bose-Einstein condensates in the semiclassical regime. Zbl 1132.82003Bao, Weizhu; Lim, Fong Yin; Zhang, Yanzhi 3 2007 Ground states and dynamics of rotating Bose-Einstein condensates. Zbl 1118.82027Bao, Weizhu 3 2007 Error bounds for the finite element approximation of an incompressible material in an unbounded domain. Zbl 1106.74406Bao, Weizhu; Han, Houde 3 2003 On the inf-sup condition of mixed finite element formulations for acoustic fluids. Zbl 1018.76023Bao, Weizhu; Wang, Xiaodong; Bathe, Klaus-Jürgen 3 2001 A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234Bao, Weizhu; Yin, Jia 2 2019 A uniformly and optimally accurate method for the Zakharov system in the subsonic limit regime. Zbl 1390.35317Bao, Weizhu; Su, Chunmei 2 2018 Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime. Zbl 1362.35278Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 2 2017 Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime. Zbl 1308.35263Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 2 2015 Dynamics in models of coarsening, coagulation, condensation and quantization. Zbl 1119.82003Bao, Weizhu (ed.); Liu, Jian-Guo (ed.) 2 2007 High-order \(I\)-stable centered difference schemes for viscous compressible flows. Zbl 1086.76052Bao, Weizhu; Jin, Shi 2 2003 Error estimates on the random projection methods for hyperbolic conservation laws with stiff reaction terms. Zbl 1063.65094Bao, Weizhu; Jin, Shi 2 2002 A parametric finite element method for solid-state dewetting problems in three dimensions. Zbl 1430.74056Zhao, Quan; Jiang, Wei; Bao, Weizhu 1 2020 Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation. Zbl 1416.35225Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 4 2019 A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234Bao, Weizhu; Yin, Jia 2 2019 Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system. Zbl 1453.35027Bao, Weizhu; Ha, Seung-Yeal; Kim, Dohyun; Tang, Qinglin 1 2019 Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin 1 2019 Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime. Zbl 1387.65082Bao, Weizhu; Su, Chunmei 5 2018 A uniformly and optimally accurate method for the Zakharov system in the subsonic limit regime. Zbl 1390.35317Bao, Weizhu; Su, Chunmei 2 2018 Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes. Zbl 1405.65093Bao, Weizhu; Su, Chunmei 1 2018 A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation. Zbl 1361.65080Bao, Weizhu; Zhao, Xiaofei 18 2017 Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime. Zbl 1370.81053Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin 13 2017 A regularized Newton method for computing ground states of Bose-Einstein condensates. Zbl 1433.82025Wu, Xinming; Wen, Zaiwen; Bao, Weizhu 12 2017 A parametric finite element method for solid-state dewetting problems with anisotropic surface energies. Zbl 1378.76043Bao, Weizhu; Jiang, Wei; Wang, Yan; Zhao, Quan 6 2017 Stable equilibria of anisotropic particles on substrates: a generalized Winterbottom construction. Zbl 1386.74059Bao, Weizhu; Jiang, Wei; Srolovitz, David J.; Wang, Yan 5 2017 Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime. Zbl 1362.35278Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 2 2017 A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime. Zbl 1373.82086Bao, Weizhu; Zhao, Xiaofei 14 2016 Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime. Zbl 1365.65208Bao, WeiZhu; Cai, YongYong; Jia, XiaoWei; Yin, Jia 14 2016 A uniformly accurate multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime. Zbl 1346.35171Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin 9 2016 Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT. Zbl 1388.65115Bao, Weizhu; Tang, Qinglin; Zhang, Yong 6 2016 Ground states and dynamics of spin-orbit-coupled Bose-Einstein condensates. Zbl 1335.35227Bao, Weizhu; Cai, Yongyong 11 2015 Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT. Zbl 1354.65200Bao, Weizhu; Jiang, Shidong; Tang, Qinglin; Zhang, Yong 6 2015 Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime. Zbl 1308.35263Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 2 2015 A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1310.65131Bao, Weizhu; Cai, Yongyong; Zhao, Xiaofei 31 2014 Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator. Zbl 1339.35279Bao, Weizhu; Cai, Yongyong 20 2014 Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations. Zbl 1313.65180Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei 16 2014 Mathematical models and numerical methods for Bose-Einstein condensation. Zbl 1373.35283Bao, Weizhu 11 2014 Fast and accurate evaluation of nonlocal Coulomb and dipole-dipole interactions via the nonuniform FFT. Zbl 1307.65184Jiang, Shidong; Greengard, Leslie; Bao, Weizhu 8 2014 Numerical study of quantized vortex interactions in the nonlinear Schrödinger equation on bounded domains. Zbl 1320.35317Bao, Weizhu; Tang, Qinglin 7 2014 Mathematical theory and numerical methods for Bose-Einstein condensation. Zbl 1266.82009Bao, Weizhu; Cai, Yongyong 131 2013 Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130Antoine, Xavier; Bao, Weizhu; Besse, Christophe 80 2013 Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. Zbl 1264.65146Bao, Weizhu; Cai, Yongyong 53 2013 An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system. Zbl 1294.65095Bao, Weizhu; Dong, Xuanchun; Zhao, Xiaofei 21 2013 A simple and efficient numerical method for computing the dynamics of rotating Bose–Einstein condensates via rotating Lagrangian coordinates. Zbl 1286.35213Bao, Weizhu; Marahrens, Daniel; Tang, Qinglin; Zhang, Yanzhi 20 2013 Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation. Zbl 1291.35329Bao, Weizhu; Tang, Qinglin; Xu, Zhiguo 16 2013 Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations. Zbl 1349.82069Bao, Weizhu; Chern, I-Liang; Zhang, Yanzhi 11 2013 Dimension reduction of the Schrödinger equation with Coulomb and anisotropic confining potentials. Zbl 1294.35130Bao, Weizhu; Jian, Huaiyu; Mauser, Norbert J.; Zhang, Yong 5 2013 Numerical study of quantized vortex interaction in the Ginzburg-Landau equation on bounded domains. Zbl 1388.65046Bao, Weizhu; Tang, Qinglin 4 2013 Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1248.65087Bao, Weizhu; Dong, Xuanchun 58 2012 Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator. Zbl 1246.35188Bao, Weizhu; Cai, Yongyong 55 2012 Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement. Zbl 1246.35187Bao, Weizhu; Ben Abdallah, Naoufel; Cai, Yongyong 8 2012 Ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction. Zbl 1290.35236Bao, Weizhu; Cai, Yongyong 31 2011 Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. Zbl 1220.83023Bao, Weizhu; Dong, Xuanchun 16 2011 Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates. Zbl 1198.82036Bao, Weizhu; Cai, Yongyong; Wang, Hanquan 43 2010 Singular limits of Klein-Gordon-Schrödinger equations to Schrödinger-Yukawa equations. Zbl 1210.35223Bao, Weizhu; Dong, Xuanchun; Wang, Shu 7 2010 Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205Bao, Weizhu; Dong, Xuanchun; Xin, Jack 7 2010 Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates. Zbl 1206.35225Bao, Weizhu; Zhang, Yanzhi 3 2010 A generalized-Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates. Zbl 1205.82096Bao, Weizhu; Li, Hailiang; Shen, Jie 24 2009 Computing ground states of spin-1 Bose-Einstein condensates by the normalized gradient flow. Zbl 1173.81028Bao, Weizhu; Lim, Fong Yin 21 2008 A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. Zbl 1149.76039Bao, Weizhu; Shen, Jie 14 2008 Quantized vortex stability and interaction in the nonlinear wave equation. Zbl 1147.82037Bao, Weizhu; Zeng, Rong; Zhang, Yanzhi 6 2008 A uniformly convergent numerical method for singularly perturbed nonlinear eigenvalue problems. Zbl 1364.81015Bao, Weizhu; Chai, Ming-Huang 4 2008 Analysis and efficient computation for the dynamics of two-component Bose-Einstein condensates. Zbl 1159.35404Bao, Weizhu 1 2008 Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations. Zbl 1125.65093Bao, Weizhu; Yang, Li 42 2007 Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation. Zbl 1130.82023Zhang, Yanzhi; Bao, Weizhu; Li, Hailiang 29 2007 A mass and magnetization conservative and energy-diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates. Zbl 1149.82018Bao, Weizhu; Wang, Hanquan 15 2007 Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation. Zbl 1202.35311Zhang, Yanzhi; Bao, Weizhu; Du, Qiang 13 2007 The dynamics and interaction of quantized vortices in the Ginzburg-Landau-Schrödinger equation. Zbl 1220.35165Zhang, Yanzhi; Bao, Weizhu; Du, Qiang 10 2007 Dynamics of the center of mass in rotating Bose-Einstein condensates. Zbl 1190.82049Zhang, Yanzhi; Bao, Weizhu 5 2007 A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities. Zbl 1164.78320Bao, Weizhu; Zheng, Chunxiong 4 2007 Convergence rate of dimension reduction in Bose-Einstein condensates. Zbl 1196.82065Bao, Weizhu; Ge, Yunyi; Jaksch, Dieter; Markowich, Peter A.; Weishäupl, Rada M. 3 2007 The nonlinear Schrödinger equation and applications in Bose-Einstein condensation and plasma physics. Zbl 1140.82037Bao, Weizhu 3 2007 Energy and chemical potential asymptotics for the ground state of Bose-Einstein condensates in the semiclassical regime. Zbl 1132.82003Bao, Weizhu; Lim, Fong Yin; Zhang, Yanzhi 3 2007 Ground states and dynamics of rotating Bose-Einstein condensates. Zbl 1118.82027Bao, Weizhu 3 2007 Dynamics in models of coarsening, coagulation, condensation and quantization. Zbl 1119.82003Bao, Weizhu (ed.); Liu, Jian-Guo (ed.) 2 2007 Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation. Zbl 1141.35052Bao, Weizhu; Du, Qiang; Zhang, Yanzhi 36 2006 An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates. Zbl 1160.82343Bao, Weizhu; Wang, Hanquan 30 2006 Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates. Zbl 1330.82031Bao, Weizhu; Chern, I-Liang; Lim, Fong Yin 29 2006 A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates. Zbl 1084.35083Bao, Weizhu; Shen, Jie 55 2005 Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004Bao, Weizhu; Wang, Hanquan; Markowich, Peter A. 43 2005 Efficient and stable numerical methods for the generalized and vector Zakharov system. Zbl 1076.35114Bao, Weizhu; Sun, Fangfang 22 2005 Dynamics of the ground state and central vortex states in Bose-Einstein condensation. Zbl 1154.82313Bao, Weizhu; Zhang, Yanzhi 19 2005 On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M. 7 2005 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025Bao, Weizhu; Du, Qiang 131 2004 Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034Bao, Weizhu 72 2004 An efficient and stable numerical method for the Maxwell–Dirac system. Zbl 1056.81080Bao, Weizhu; Li, Xianggui 31 2004 Numerical methods for the nonlinear Schrödinger equation with nonzero far-field conditions. Zbl 1090.65116Bao, Weizhu 12 2004 Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A. 4 2004 Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A. 104 2003 Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099Bao, Weizhu; Jin, Shi; Markowich, Peter A. 70 2003 An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity. Zbl 1054.35088Bao, Weizhu; Jaksch, Dieter 38 2003 Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional. Zbl 1028.82500Bao, Weizhu; Tang, Weijun 38 2003 Numerical methods for the generalized Zakharov system. Zbl 1236.76043Bao, Weizhu; Sun, Fangfang; Wei, Guo Wei 28 2003 Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-X\(_\alpha\) model. Zbl 1160.81497Bao, Weizhu; Mauser, N. J.; Stimming, H. P. 20 2003 Approximation and comparison for motion by mean curvature with intersection points. Zbl 1049.65012Bao, Weizhu 4 2003 Error bounds for the finite element approximation of an incompressible material in an unbounded domain. Zbl 1106.74406Bao, Weizhu; Han, Houde 3 2003 High-order \(I\)-stable centered difference schemes for viscous compressible flows. Zbl 1086.76052Bao, Weizhu; Jin, Shi 2 2003 Error bounds for the finite-element approximation of the exterior Stokes equations in two dimensions. Zbl 1019.65084Bao, Weizhu 1 2003 On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112Bao, Weizhu; Jin, Shi; Markowich, Peter A. 139 2002 The random projection method for stiff multispecies detonation capturing. Zbl 1017.76073Bao, Weizhu; Jin, Shi 10 2002 An economical finite element approximation of generalized Newtonian flows. Zbl 1101.76351Bao, Weizhu 7 2002 Error estimates on the random projection methods for hyperbolic conservation laws with stiff reaction terms. Zbl 1063.65094Bao, Weizhu; Jin, Shi 2 2002 The random projection method for a model problem of combustion with stiff chemical reactions. Zbl 1022.80005Bao, Weizhu 2 2002 The random projection method for stiff detonation capturing. Zbl 0997.80013Bao, Weizhu; Jin, Shi 10 2001 Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. Zbl 0997.74060Han, Houde; Bao, Weizhu 6 2001 Weakly compressible high-order \(I\)-stable central difference schemes for incompressible viscous flows. Zbl 1054.76060Bao, Weizhu; Jin, Shi 5 2001 On the inf-sup condition of mixed finite element formulations for acoustic fluids. Zbl 1018.76023Bao, Weizhu; Wang, Xiaodong; Bathe, Klaus-Jürgen 3 2001 Numerical simulations of fracture problems by coupling the FEM and the direct method of lines. Zbl 1030.74048Bao, Weizhu; Han, Houde; Huang, Zhongyi 1 2001 The random projection method for hyperbolic conservation laws with stiff reaction terms. Zbl 0966.65073Bao, Weizhu; Jin, Shi 33 2000 Error estimates for the finite element approximation of problems in unbounded domains. Zbl 1001.65118Han, Houde; Bao, Weizhu 17 2000 High-order local artificial boundary conditions for problems in unbounded domains. Zbl 0957.65096Bao, Weizhu; Han, Houde 7 2000 The artificial boundary conditions for computing the flow around a submerged body. Zbl 0971.76044Bao, Weizhu; Xin, Wen 1 2000 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,082 Authors 63 Bao, Weizhu 25 Jin, Shi 22 Wang, Tingchun 21 Zhang, Luming 19 Antoine, Xavier 19 Han, Houde 18 Lorin, Emmanuel 17 Zhao, Xiaofei 16 Cai, Yongyong 16 Chien, Cheng-Sheng 16 Wang, Hanquan 15 Li, Xianggui 12 Huang, Zhongyi 12 Markowich, Peter Alexander 12 Méhats, Florian 12 Tang, Qinglin 12 Wang, Yushun 11 Sparber, Christof 11 Thalhammer, Mechthild 11 Zeng, Xiaoyu 11 Zheng, Chunxiong 10 Kong, Linghua 10 Lakoba, Taras I. 10 Schratz, Katharina 10 Zhang, Yanzhi 9 Dehghan Takht Fooladi, Mehdi 9 Guo, Yujin 9 Shi, Dongyang 9 Su, Chunmei 8 Dong, Xuanchun 8 Huang, Chengming 8 Jeng, B.-W. 8 Liang, Dong 8 Liu, Zuhan 8 Shen, Jie 8 Shieh, Shih-Feng 8 Zhang, Yong 8 Zhou, Huan-Song 7 Carles, Rémi 7 Koch, Othmar 7 Lin, Wen-Wei 7 Wang, Junjun 7 Xiao, Aiguo 7 Yang, Xu 7 Zhang, Zhiyue 7 Zhao, Qiang 6 Auzinger, Winfried 6 Bandrauk, André D. 6 Besse, Christophe 6 Chang, Shing-Lin 6 Chern, I-Liang 6 Gosse, Laurent 6 Huang, Yunqing 6 Ji, Bingquan 6 Mei, Liquan 6 Wang, Pengde 6 Wang, Weichung 6 Wu, Xinyuan 6 Xie, Jianqiang 6 Zhao, Quan 6 Zhou, Zhennan 6 Zhu, Shihui 5 Antonelli, Paolo 5 Cai, Jiaxiang 5 Caliari, Marco 5 Chartier, Philippe 5 Duboscq, Romain 5 Fillion-Gourdeau, François 5 Gao, Yali 5 Guo, Boling 5 Kuo, Yueh-Cheng 5 Lemou, Mohammed 5 Li, Zi-Cai 5 Liu, Hailiang 5 Lu, Jianfeng 5 Malomed, Boris A. 5 Mauser, Norbert Julius 5 Wang, Shanshan 5 Wei, Juncheng 5 Weishäupl, Rada-Maria 5 Wen, Zaiwen 5 Zhang, Jiwei 4 Baumstark, Simon 4 Chen, Huei-Shuang 4 Chen, Juan 4 Crouseilles, Nicolas 4 Hajaiej, Hichem 4 Henning, Patrick 4 Hong, Jialin 4 Hua, Dongying 4 Huang, Qiumei 4 Jiang, Chaolong 4 Li, Haochen 4 Li, Shuai 4 Ruan, Xinran 4 Shu, Chi-Wang 4 Song, Songhe 4 Taleei, Ameneh 4 Wang, Bin 4 Wang, Dongling ...and 982 more Authors all top 5 Cited in 155 Serials 125 Journal of Computational Physics 47 Applied Mathematics and Computation 42 Journal of Computational and Applied Mathematics 42 Applied Numerical Mathematics 37 Journal of Scientific Computing 29 Computers & Mathematics with Applications 24 Computer Physics Communications 24 Physica D 19 SIAM Journal on Scientific Computing 17 Journal of Mathematical Physics 16 Mathematics of Computation 16 Numerische Mathematik 16 Numerical Algorithms 15 Computer Methods in Applied Mechanics and Engineering 15 Journal of Mathematical Analysis and Applications 13 Numerical Methods for Partial Differential Equations 13 Applied Mathematics Letters 12 SIAM Journal on Numerical Analysis 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Multiscale Modeling & Simulation 10 Journal of Differential Equations 10 International Journal of Computer Mathematics 10 Advances in Computational Mathematics 10 Communications in Nonlinear Science and Numerical Simulation 10 Science China. Mathematics 8 Mathematics and Computers in Simulation 7 International Journal of Theoretical Physics 7 Discrete and Continuous Dynamical Systems 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Computers and Fluids 6 BIT 6 Applied Mathematical Modelling 6 Discrete and Continuous Dynamical Systems. Series B 5 Nonlinear Analysis. Theory, Methods & Applications. 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Analyse Non Linéaire 2 Acta Mathematicae Applicatae Sinica. English Series 2 Mathematical and Computer Modelling 2 Communications in Partial Differential Equations 2 Communications in Numerical Methods in Engineering 2 Engineering Analysis with Boundary Elements 2 Journal of High Energy Physics 2 Living Reviews in Relativity 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Nonlinear Analysis. Modelling and Control 2 Foundations of Computational Mathematics 2 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 Journal of Hyperbolic Differential Equations 2 Boundary Value Problems 2 Acta Mechanica Sinica 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 East Asian Journal on Applied Mathematics 2 Research in the Mathematical Sciences 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Physics Reports 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 International Journal for Numerical Methods in Engineering 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) ...and 55 more Serials all top 5 Cited in 41 Fields 604 Partial differential equations (35-XX) 593 Numerical analysis (65-XX) 155 Quantum theory (81-XX) 155 Statistical mechanics, structure of matter (82-XX) 91 Fluid mechanics (76-XX) 41 Optics, electromagnetic theory (78-XX) 38 Dynamical systems and ergodic theory (37-XX) 33 Mechanics of deformable solids (74-XX) 25 Ordinary differential equations (34-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Classical thermodynamics, heat transfer (80-XX) 9 Probability theory and stochastic processes (60-XX) 9 Biology and other natural sciences (92-XX) 8 Operations research, mathematical programming (90-XX) 7 Real functions (26-XX) 7 Approximations and expansions (41-XX) 7 Astronomy and astrophysics (85-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 5 Computer science (68-XX) 5 Relativity and gravitational theory (83-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year