Edit Profile (opens in new tab) Dai, Weizhong Co-Author Distance Author ID: dai.weizhong Published as: Dai, Weizhong; Dai, W. Homepage: https://www2.latech.edu/~dai/ External Links: MGP Documents Indexed: 110 Publications since 1986, including 4 Additional arXiv Preprints Reviewing Activity: 89 Reviews Co-Authors: 73 Co-Authors with 98 Joint Publications 1,395 Co-Co-Authors all top 5 Co-Authors 12 single-authored 26 Nassar, Raja F. 9 Wang, Xiaofeng 6 Nwankwo, Chinonso 6 Su, Shengjun 6 Sun, Zhizhong 5 Moxley, Frederick Ira III. 5 Yan, Yun 4 Cheng, Jinfa 4 Guo, Feng 4 Ji, Cuicui 4 Mickens, Ronald Elbert 4 Shen, Lixin 4 Wang, Haojie 3 Chen, Chuandan 3 Han, Fei 3 Jordan, Pedro M. 3 Mohanty, Ranjan Kumar 3 Zhai, Shuying 3 Zhang, Le 3 Zhang, Suyang 3 Zhu, Teng 2 Bejan, Adrian 2 Bora, Aniruddha 2 Byrnes, Tim 2 Chuss, David T. 2 Guo, Shuangbing 2 Jiang, Beini 2 Khaliq, Abdul Q. M. 2 Li, Guang 2 Melnik, Roderick V. Nicholas 2 Niu, Tianchan 2 Shen, Shujun 2 Sun, Hong 2 Tzou, Da Yu 2 Ware, Tony 2 Weng, Zhifeng 2 Zhao, Jennifer Jing 2 Zhou, Xiaobo 1 Berens, Michael E. 1 Boyt, Jacob C. 1 Carey, Michelle 1 Decoster, Mark 1 Du, Rui 1 Feng, Zhuo 1 Fujiwara, Fumitaka 1 Haynie, D. T. 1 He, Yuyu 1 Huang, Langyang 1 Huang, Zhehuang 1 Jenkins, Frank 1 Kaba, Ibrahima K. 1 Li, Jinjin 1 Li, Quang 1 Lin, Rongde 1 Liu, Don 1 Liu, Qingxia 1 Ma, Baoling 1 Mo, Yuchang 1 Ren, Jincheng 1 Simicevic, N. 1 Song, Hertong 1 Struthers, Allan A. 1 Sun, Zhe 1 Umeorah, Nneka 1 Wang, Pan 1 Wilson, Joshua P. 1 Wu, Longyuan 1 Yang, Yanfang 1 Zhang, Yukong 1 Zhao, Di 1 Zhao, Kaiyong 1 Zhao, Xuqian 1 Zhuang, Pinghui all top 5 Serials 17 Numerical Methods for Partial Differential Equations 11 International Journal of Heat and Mass Transfer 11 Journal of Computational and Applied Mathematics 6 Applied Mathematics and Computation 6 International Journal of Numerical Methods for Heat & Fluid Flow 4 Journal of Xiamen University. Natural Science 4 Journal of Scientific Computing 3 International Journal for Numerical Methods in Engineering 3 Applied Numerical Mathematics 2 Computer Physics Communications 2 Numerical Mathematics 2 Mathematica Numerica Sinica 2 Journal of Computational Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Computational and Applied Mathematics 1 Applicable Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematics and Computers in Simulation 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 International Journal of Approximate Reasoning 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Journal of Computational Neuroscience 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Far East Journal of Applied Mathematics 1 Journal of Computational Analysis and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Computer Assisted Mechanics and Engineering Sciences 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 Nonlinear Analysis. Hybrid Systems 1 Numerical Mathematics: Theory, Methods and Applications 1 The Open Applied Mathematics Journal 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Fractional Calculus and Applications all top 5 Fields 80 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 40 Classical thermodynamics, heat transfer (80-XX) 14 Optics, electromagnetic theory (78-XX) 7 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 4 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 661 times in 409 Documents Cited by ▼ Year ▼ A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096 Dai, Weizhong; Nassar, Raja 37 1999 A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film. Zbl 0961.65072 Dai, Weizhong; Nassar, Raja 32 2000 A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116 Wang, Xiaofeng; Dai, Weizhong 28 2018 Compact ADI method for solving parabolic differential equations. Zbl 1004.65086 Dai, Weizhong; Nassar, Raja 28 2002 Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. Zbl 1132.65083 Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan 23 2007 A note on the delayed heat equation: instability with respect to initial data. Zbl 1258.80002 Jordan, P. M.; Dai, W.; Mickens, R. E. 21 2008 An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient. Zbl 0746.65065 Dai, Weizhong 20 1992 A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale. Zbl 0988.65074 Dai, Weizhong; Nassar, Raja 19 2001 Thermal lagging in multi-carrier systems. Zbl 1157.82365 Tzou, Da Yu; Dai, Weizhong 17 2009 A mathematical model for skin burn injury induced by radiation heating. Zbl 1151.80302 Dai, Weizhong; Wang, Haojie; Jordan, Pedro M.; Mickens, Ronald E.; Bejan, Adrian 17 2008 An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film. Zbl 1005.65084 Dai, Weizhong; Nassar, Raja 16 2002 A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D. Zbl 1432.65127 Wang, Xiaofeng; Dai, Weizhong 15 2019 An improved compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1211.65110 Dai, Weizhong 15 2011 Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157 Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang 14 2008 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation. Zbl 1189.80029 Su, S.; Dai, W.; Jordan, P. M.; Mickens, R. E. 13 2005 New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176 Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong 13 2016 A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332 Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong 11 2015 Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film. Zbl 1434.65120 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 11 2019 A stable finite difference scheme for solving a hyperbolic two-step model in a 3D micro sphere exposed to ultrashort-pulsed lasers. Zbl 1182.80015 Dai, Weizhong; Song, Hertong; Su, Shengjun; Nassar, Raja 11 2006 A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film. Zbl 1359.65161 Sun, Hong; Sun, Zhi-Zhong; Dai, Weizhong 10 2017 A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Zbl 1459.76094 Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad 10 2021 Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. Zbl 1339.65133 Mohanty, R. K.; Dai, Weizhong; Han, Fei 10 2015 Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Zbl 1328.65179 Mohanty, R. K.; Dai, Weizhong; Liu, Don 9 2015 A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. Zbl 1310.65096 Sun, Zhi-Zhong; Dai, Weizhong 9 2014 A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200 Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing 9 2019 A finite difference method for studying thermal deformation in a thin film exposed to ultrashort-pulsed lasers. Zbl 1189.74034 Wang, Haojie; Dai, Weizhong; Nassar, Raja; Melnik, Roderick 9 2006 Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236 Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde 9 2019 A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation. Zbl 1413.65407 Wang, Xiaofeng; Dai, Weizhong 8 2018 An unconditionally stable three level finite difference scheme for solving parabolic two-step micro heat transport equations in a three-dimensional double-layered thin film. Zbl 1038.80008 Dai, Weizhong; Li, Quang; Nassar, Raja; Shen, Lixin 8 2004 Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition. Zbl 1422.65158 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 7 2018 A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017 Dai, W.; Nassar, R. 7 1998 A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083 Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong 7 2013 A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640 Dai, Weizhong; Nassar, Raja 7 1999 A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. Zbl 1317.65218 Mohanty, R. K.; Dai, Weizhong; Han, Fei 7 2015 A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518 Dai, Weizhong; Chen, Chuandan 7 1989 New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163 Han, Fei; Dai, Weizhong 7 2013 A fourth-order compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1189.65192 Dai, Weizhong; Tzou, Da Yu 7 2010 A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092 Dai, W.; Nassar, R. 6 1997 An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015 Dai, Weizhong; Nassar, Raja 6 2002 A generalized finite-difference time-domain quantum method for the \(N\)-body interacting Hamiltonian. Zbl 1302.65197 Moxley, Frederick Ira III.; Byrnes, Tim; Fujiwara, Fumitaka; Dai, Weizhong 6 2012 A stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers. Zbl 1072.65115 Kaba, Ibrahima K.; Dai, Weizhong 6 2005 A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1052.80010 Dai, Weizhong; Shen, Lixin; Nassar, Raja; Zhu, Teng 6 2004 A finite difference scheme for solving parabolic two-step micro-heat transport equations in a double-layered micro-sphere heated by ultrashort-pulsed lasers. Zbl 1109.65073 Dai, Weizhong; Li, Guang 6 2006 A high order accurate numerical method for solving two-dimensional dual-phase-lagging equation with temperature jump boundary condition in nanoheat conduction. Zbl 1335.65074 Sun, Hong; Du, Rui; Dai, Weizhong; Sun, Zhi-Zhong 5 2015 A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness. Zbl 0989.80026 Dai, Weizhong; Nassar, Raja 5 2001 A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070 Dai, W.; Nassar, R. 5 1998 Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014 Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying 5 2019 Accurate finite difference schemes for solving a 3D micro heat transfer model in an N-carrier system with the Neumann boundary condition in spherical coordinates. Zbl 1208.65135 Zhao, Di; Dai, Weizhong 5 2010 A hybrid finite element-finite difference method for thermal analysis in \(X\)-ray litography. Zbl 0953.80002 Dai, W.; Nassar, R. 4 1999 A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076 Dai, Weizhong 4 1997 A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations. Zbl 1352.65256 Moxley, Frederick Ira; Byrnes, Tim; Ma, Baoling; Yan, Yun; Dai, Weizhong 4 2015 On the stability of the FDTD method for solving a time-dependent Schrödinger equation. Zbl 1080.65082 Dai, Weizhong; Li, Guang; Nassar, Raja; Su, Shengjun 4 2005 A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082 Dai, Weizhong; Su, Shengjun 4 2004 Optimal temperature distribution in a 3D triple-layered skin structure embedded with artery and vein vasculature and induced by electromagnetic radiation. Zbl 1119.80006 Wang, Haojie; Dai, Weizhong; Bejan, Adrian 4 2007 A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068 Dai, Weizhong; Nassar, Raja 3 2000 A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075 Dai, Weizhong 3 1997 Absolutely stable explicit and semi-explicit schemes for Schrödinger equations. Zbl 0687.65118 Dai, Weizhong 3 1989 Employing graphics processing unit technology, alternating direction implicit method and domain decomposition to speed up the numerical diffusion solver for the biomedical engineering research. Zbl 1242.92002 Jiang, Beini; Struthers, Allan; Sun, Zhe; Feng, Zhuo; Zhao, Xuqian; Zhao, Kaiyong; Dai, Weizhong; Zhou, Xiaobo; Berens, Michael E.; Zhang, Le 3 2011 A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin film exposed to ultrashort-pulsed lasers with nonlinear interfacial conditions. Zbl 1157.80318 Dai, Weizhong; Niu, Tianchan 3 2008 A hyperbolic microscopic model and its numerical scheme for thermal analysis in an \(N\)-carrier system. Zbl 1158.80305 Dai, Weizhong 3 2009 Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Zbl 1481.65161 Wang, Xiaofeng; Dai, Weizhong; Yan, Yun 3 2021 Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Zbl 1497.65117 Bora, Aniruddha; Dai, Weizhong 3 2020 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation with a heat source. Zbl 1189.80030 Su, Shengjun; Dai, Weizhong 3 2006 A compact local one-dimensional scheme for solving a 3D \(N\)-carrier system with Neumann boundary conditions. Zbl 1201.65153 Dai, Weizhong 3 2010 A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1047.65065 Dai, Weizhong; Shen, Lixin; Nassar, Raja 3 2004 A preconditioned Richardson method for solving three-dimensional thin film problems with first-order derivatives and variable coefficients. Zbl 0982.76068 Dai, Weizhong; Nassar, Raja 2 2000 A new ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients. Zbl 0971.65080 Dai, Weizhong; Nassar, Raja 2 2000 Nonstandard finite difference schemes for solving nonlinear micro heat transport equations in double-layered metal thin films exposed to ultrashort pulsed lasers. Zbl 1207.80026 Dai, Weizhong 2 2005 A nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328 Dai, Weizhong; Zhu, Teng 2 2004 Numerical simulation of nanopulse penetration of biological matter using the \(z\)-transform. Zbl 1108.78014 Su, S.; Dai, W.; Haynie, D. T.; Nassar, R.; Simicevic, N. 2 2005 A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain. Zbl 1486.65104 Guo, Feng; Dai, Weizhong 2 2022 A new artificial neural network method for solving Schrödinger equations on unbounded domains. Zbl 1498.65189 Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. 2 2022 A numerical algorithm for obtaining an optimal temperature distribution in a 3D triple layered cylindrical skin structure. Zbl 1207.80028 Zhang, Le; Dai, Weizhong; Nassar, Raja 2 2007 Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction. Zbl 1435.65134 Shen, Shujun; Dai, Weizhong; Cheng, Jinfa 2 2020 A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers. Zbl 1142.80004 Zhang, Suyang; Dai, Weizhong; Wang, Haojie; Melnik, Roderick V. N. 2 2008 A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation. Zbl 1463.65251 Wang, Xiaofeng; Dai, Weizhong 2 2020 A new 3D mass diffusion-reaction model in the neuromuscular junction. Zbl 1446.92137 Khaliq, Abdul; Jenkins, Frank; Decoster, Mark; Dai, Weizhong 2 2011 Higher-order fractional Green and Gauss formulas. Zbl 1390.26008 Cheng, Jinfa; Dai, Weizhong 1 2018 A hybrid finite element-alternating direction implicit method for solving parabolic differential equations on multilayers with irregular geometry. Zbl 0952.65073 Dai, Weizhong; Zhang, Yukong; Nassar, Raja 1 2000 A generalized two-cycle componentwise splitting method for solving three-dimensional parabolic differential equations with variable coefficients on multilayers. Zbl 0964.80009 Dai, W.; Nassar, R. 1 1997 Linearized difference scheme for a kind of nonlinear parabolic equation. Zbl 0705.65064 Dai, Weizhong 1 1989 The general three level explicit difference schemes for solving parabolic equations with variable coefficients and mixed derivatives. Zbl 0663.65097 Dai, Weizhong; Chen, Chuandan 1 1987 Comparison of the solutions of a 1D dual-phase-lagging heat transport equation and its approximations. Zbl 1067.80003 Zhu, Teng; Dai, Weizhong; Shen, Lixin 1 2004 Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. Zbl 1502.65072 Shen, Shujun; Dai, Weizhong; Liu, Qingxia; Zhuang, Pinghui 1 2023 Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating. Zbl 1434.65145 Zhai, Shuying; Huang, Langyang; Weng, Zhifeng; Dai, Weizhong 1 2020 An unconditionally stable hybrid FE-FD scheme for solving a 3-D heat transport equation in a cylindrical thin film with sub-microscale thickness. Zbl 1042.65071 Dai, Weizhong; Nassar, Raja 1 2003 Novel 3D GPU based numerical parallel diffusion algorithms in cylindrical coordinates for health care simulation. Zbl 1519.92098 Jiang, Beini; Dai, Weizhong; Khaliq, Abdul; Carey, Michelle; Zhou, Xiaobo; Zhang, Le 1 2015 A new absorbing layer approach for solving the nonlinear Schrödinger equation. Zbl 07705792 Guo, Feng; Dai, Weizhong 1 2023 Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. Zbl 1502.65072 Shen, Shujun; Dai, Weizhong; Liu, Qingxia; Zhuang, Pinghui 1 2023 A new absorbing layer approach for solving the nonlinear Schrödinger equation. Zbl 07705792 Guo, Feng; Dai, Weizhong 1 2023 A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain. Zbl 1486.65104 Guo, Feng; Dai, Weizhong 2 2022 A new artificial neural network method for solving Schrödinger equations on unbounded domains. Zbl 1498.65189 Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. 2 2022 A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Zbl 1459.76094 Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad 10 2021 Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Zbl 1481.65161 Wang, Xiaofeng; Dai, Weizhong; Yan, Yun 3 2021 Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Zbl 1497.65117 Bora, Aniruddha; Dai, Weizhong 3 2020 Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction. Zbl 1435.65134 Shen, Shujun; Dai, Weizhong; Cheng, Jinfa 2 2020 A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation. Zbl 1463.65251 Wang, Xiaofeng; Dai, Weizhong 2 2020 Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating. Zbl 1434.65145 Zhai, Shuying; Huang, Langyang; Weng, Zhifeng; Dai, Weizhong 1 2020 A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D. Zbl 1432.65127 Wang, Xiaofeng; Dai, Weizhong 15 2019 Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film. Zbl 1434.65120 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 11 2019 A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200 Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing 9 2019 Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236 Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde 9 2019 Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014 Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying 5 2019 A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116 Wang, Xiaofeng; Dai, Weizhong 28 2018 A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation. Zbl 1413.65407 Wang, Xiaofeng; Dai, Weizhong 8 2018 Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition. Zbl 1422.65158 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 7 2018 Higher-order fractional Green and Gauss formulas. Zbl 1390.26008 Cheng, Jinfa; Dai, Weizhong 1 2018 A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film. Zbl 1359.65161 Sun, Hong; Sun, Zhi-Zhong; Dai, Weizhong 10 2017 New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176 Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong 13 2016 A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332 Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong 11 2015 Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. Zbl 1339.65133 Mohanty, R. K.; Dai, Weizhong; Han, Fei 10 2015 Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Zbl 1328.65179 Mohanty, R. K.; Dai, Weizhong; Liu, Don 9 2015 A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. Zbl 1317.65218 Mohanty, R. K.; Dai, Weizhong; Han, Fei 7 2015 A high order accurate numerical method for solving two-dimensional dual-phase-lagging equation with temperature jump boundary condition in nanoheat conduction. Zbl 1335.65074 Sun, Hong; Du, Rui; Dai, Weizhong; Sun, Zhi-Zhong 5 2015 A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations. Zbl 1352.65256 Moxley, Frederick Ira; Byrnes, Tim; Ma, Baoling; Yan, Yun; Dai, Weizhong 4 2015 Novel 3D GPU based numerical parallel diffusion algorithms in cylindrical coordinates for health care simulation. Zbl 1519.92098 Jiang, Beini; Dai, Weizhong; Khaliq, Abdul; Carey, Michelle; Zhou, Xiaobo; Zhang, Le 1 2015 A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. Zbl 1310.65096 Sun, Zhi-Zhong; Dai, Weizhong 9 2014 A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083 Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong 7 2013 New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163 Han, Fei; Dai, Weizhong 7 2013 A generalized finite-difference time-domain quantum method for the \(N\)-body interacting Hamiltonian. Zbl 1302.65197 Moxley, Frederick Ira III.; Byrnes, Tim; Fujiwara, Fumitaka; Dai, Weizhong 6 2012 An improved compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1211.65110 Dai, Weizhong 15 2011 Employing graphics processing unit technology, alternating direction implicit method and domain decomposition to speed up the numerical diffusion solver for the biomedical engineering research. Zbl 1242.92002 Jiang, Beini; Struthers, Allan; Sun, Zhe; Feng, Zhuo; Zhao, Xuqian; Zhao, Kaiyong; Dai, Weizhong; Zhou, Xiaobo; Berens, Michael E.; Zhang, Le 3 2011 A new 3D mass diffusion-reaction model in the neuromuscular junction. Zbl 1446.92137 Khaliq, Abdul; Jenkins, Frank; Decoster, Mark; Dai, Weizhong 2 2011 A fourth-order compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1189.65192 Dai, Weizhong; Tzou, Da Yu 7 2010 Accurate finite difference schemes for solving a 3D micro heat transfer model in an N-carrier system with the Neumann boundary condition in spherical coordinates. Zbl 1208.65135 Zhao, Di; Dai, Weizhong 5 2010 A compact local one-dimensional scheme for solving a 3D \(N\)-carrier system with Neumann boundary conditions. Zbl 1201.65153 Dai, Weizhong 3 2010 Thermal lagging in multi-carrier systems. Zbl 1157.82365 Tzou, Da Yu; Dai, Weizhong 17 2009 A hyperbolic microscopic model and its numerical scheme for thermal analysis in an \(N\)-carrier system. Zbl 1158.80305 Dai, Weizhong 3 2009 A note on the delayed heat equation: instability with respect to initial data. Zbl 1258.80002 Jordan, P. M.; Dai, W.; Mickens, R. E. 21 2008 A mathematical model for skin burn injury induced by radiation heating. Zbl 1151.80302 Dai, Weizhong; Wang, Haojie; Jordan, Pedro M.; Mickens, Ronald E.; Bejan, Adrian 17 2008 Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157 Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang 14 2008 A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin film exposed to ultrashort-pulsed lasers with nonlinear interfacial conditions. Zbl 1157.80318 Dai, Weizhong; Niu, Tianchan 3 2008 A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers. Zbl 1142.80004 Zhang, Suyang; Dai, Weizhong; Wang, Haojie; Melnik, Roderick V. N. 2 2008 Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. Zbl 1132.65083 Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan 23 2007 Optimal temperature distribution in a 3D triple-layered skin structure embedded with artery and vein vasculature and induced by electromagnetic radiation. Zbl 1119.80006 Wang, Haojie; Dai, Weizhong; Bejan, Adrian 4 2007 A numerical algorithm for obtaining an optimal temperature distribution in a 3D triple layered cylindrical skin structure. Zbl 1207.80028 Zhang, Le; Dai, Weizhong; Nassar, Raja 2 2007 A stable finite difference scheme for solving a hyperbolic two-step model in a 3D micro sphere exposed to ultrashort-pulsed lasers. Zbl 1182.80015 Dai, Weizhong; Song, Hertong; Su, Shengjun; Nassar, Raja 11 2006 A finite difference method for studying thermal deformation in a thin film exposed to ultrashort-pulsed lasers. Zbl 1189.74034 Wang, Haojie; Dai, Weizhong; Nassar, Raja; Melnik, Roderick 9 2006 A finite difference scheme for solving parabolic two-step micro-heat transport equations in a double-layered micro-sphere heated by ultrashort-pulsed lasers. Zbl 1109.65073 Dai, Weizhong; Li, Guang 6 2006 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation with a heat source. Zbl 1189.80030 Su, Shengjun; Dai, Weizhong 3 2006 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation. Zbl 1189.80029 Su, S.; Dai, W.; Jordan, P. M.; Mickens, R. E. 13 2005 A stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers. Zbl 1072.65115 Kaba, Ibrahima K.; Dai, Weizhong 6 2005 On the stability of the FDTD method for solving a time-dependent Schrödinger equation. Zbl 1080.65082 Dai, Weizhong; Li, Guang; Nassar, Raja; Su, Shengjun 4 2005 Nonstandard finite difference schemes for solving nonlinear micro heat transport equations in double-layered metal thin films exposed to ultrashort pulsed lasers. Zbl 1207.80026 Dai, Weizhong 2 2005 Numerical simulation of nanopulse penetration of biological matter using the \(z\)-transform. Zbl 1108.78014 Su, S.; Dai, W.; Haynie, D. T.; Nassar, R.; Simicevic, N. 2 2005 An unconditionally stable three level finite difference scheme for solving parabolic two-step micro heat transport equations in a three-dimensional double-layered thin film. Zbl 1038.80008 Dai, Weizhong; Li, Quang; Nassar, Raja; Shen, Lixin 8 2004 A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1052.80010 Dai, Weizhong; Shen, Lixin; Nassar, Raja; Zhu, Teng 6 2004 A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082 Dai, Weizhong; Su, Shengjun 4 2004 A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1047.65065 Dai, Weizhong; Shen, Lixin; Nassar, Raja 3 2004 A nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328 Dai, Weizhong; Zhu, Teng 2 2004 Comparison of the solutions of a 1D dual-phase-lagging heat transport equation and its approximations. Zbl 1067.80003 Zhu, Teng; Dai, Weizhong; Shen, Lixin 1 2004 An unconditionally stable hybrid FE-FD scheme for solving a 3-D heat transport equation in a cylindrical thin film with sub-microscale thickness. Zbl 1042.65071 Dai, Weizhong; Nassar, Raja 1 2003 Compact ADI method for solving parabolic differential equations. Zbl 1004.65086 Dai, Weizhong; Nassar, Raja 28 2002 An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film. Zbl 1005.65084 Dai, Weizhong; Nassar, Raja 16 2002 An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015 Dai, Weizhong; Nassar, Raja 6 2002 A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale. Zbl 0988.65074 Dai, Weizhong; Nassar, Raja 19 2001 A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness. Zbl 0989.80026 Dai, Weizhong; Nassar, Raja 5 2001 A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film. Zbl 0961.65072 Dai, Weizhong; Nassar, Raja 32 2000 A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068 Dai, Weizhong; Nassar, Raja 3 2000 A preconditioned Richardson method for solving three-dimensional thin film problems with first-order derivatives and variable coefficients. Zbl 0982.76068 Dai, Weizhong; Nassar, Raja 2 2000 A new ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients. Zbl 0971.65080 Dai, Weizhong; Nassar, Raja 2 2000 A hybrid finite element-alternating direction implicit method for solving parabolic differential equations on multilayers with irregular geometry. Zbl 0952.65073 Dai, Weizhong; Zhang, Yukong; Nassar, Raja 1 2000 A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096 Dai, Weizhong; Nassar, Raja 37 1999 A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640 Dai, Weizhong; Nassar, Raja 7 1999 A hybrid finite element-finite difference method for thermal analysis in \(X\)-ray litography. Zbl 0953.80002 Dai, W.; Nassar, R. 4 1999 A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017 Dai, W.; Nassar, R. 7 1998 A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070 Dai, W.; Nassar, R. 5 1998 A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092 Dai, W.; Nassar, R. 6 1997 A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076 Dai, Weizhong 4 1997 A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075 Dai, Weizhong 3 1997 A generalized two-cycle componentwise splitting method for solving three-dimensional parabolic differential equations with variable coefficients on multilayers. Zbl 0964.80009 Dai, W.; Nassar, R. 1 1997 An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient. Zbl 0746.65065 Dai, Weizhong 20 1992 A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518 Dai, Weizhong; Chen, Chuandan 7 1989 Absolutely stable explicit and semi-explicit schemes for Schrödinger equations. Zbl 0687.65118 Dai, Weizhong 3 1989 Linearized difference scheme for a kind of nonlinear parabolic equation. Zbl 0705.65064 Dai, Weizhong 1 1989 The general three level explicit difference schemes for solving parabolic equations with variable coefficients and mixed derivatives. Zbl 0663.65097 Dai, Weizhong; Chen, Chuandan 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 662 Authors 56 Dai, Weizhong 15 Wang, Xiaofeng 13 Mohanty, Ranjan Kumar 12 Nassar, Raja F. 11 Deng, Dingwen 10 Sun, Zhizhong 9 Straughan, Brian 8 Zhang, Zhiyue 7 Majchrzak, Ewa 7 Wongsaijai, Ben 6 Cheng, Hong 6 Deka, Bhupen 6 Ge, Yongbin 6 Ji, Cuicui 6 Lesnic, Daniel 6 Poochinapan, Kanyuta 6 Quintanilla de Latorre, Ramón 6 Zhang, Jun 5 Alosaimi, Moataz 5 Jordan, Pedro M. 5 Li, Shuguang 5 Zhang, Chengjian 5 Zhang, Luming 5 Zheng, Xiangcheng 4 Bhal, Santosh Kumar 4 Ciarletta, Michele 4 Dehghan Takht Fooladi, Mehdi 4 Dutta, Jogen 4 Fu, Hongfei 4 Jiang, Chaolong 4 Khaliq, Abdul Q. M. 4 Liang, Dong 4 Mickens, Ronald Elbert 4 Momoniat, Ebrahim 4 Omrani, Khaled 4 Turchan, Łukasz 4 Wang, Hong 4 Wang, Tingchun 4 Xie, Jianqiang 4 Xie, Shusen 4 Yan, Yun 4 Zampoli, Vittorio 3 Eltayeb, Ibrahim A. 3 Guo, Feng 3 Kaur, Deepti 3 Kumar, Naresh 3 Li, Jinhai 3 Liu, Li-Bin 3 Malek, Alaeddin 3 Martín, José Antonio 3 Mouktonglang, Thanasak 3 Qin, Jinggang 3 Rodríguez Mateos, Francisco 3 Tian, Zhenfu 3 Wang, Yuanming 3 Xu, Da 3 Zhang, Le 3 Zhang, Xiaohua 3 Zhao, Jennifer Jing 2 Abbaszadeh, Mostafa 2 Ahmat, Muyassar 2 Ang, Whyeteong 2 Avazzadeh, Zakieh 2 Bazarra, Noelia 2 Bhatt, Harish P. 2 Bora, Aniruddha 2 Chaudhary, Sudhakar 2 Chen, Changkai 2 Chen, Chuanmiao 2 Cheng, Jinfa 2 Christov, Christo Ivanov 2 Cui, Jin 2 Dai, Ruxin 2 Danumjaya, Palla 2 Decleer, Pieter 2 Du, Rui 2 Fairweather, Graeme 2 Fernández, Jose Ramon 2 Ghazanfarian, Jafar 2 Ghosh, Bishnu Pada 2 Guo, Shuangbing 2 Han, Fei 2 Harley, Charis 2 Heydari, Mohammad Hossein 2 Hosseini, Mostafa 2 Hu, Hongling 2 Hughes, David Wynne 2 Jha, Navnit 2 Jiang, Beini 2 Khan, Najeebalam 2 Labidi, Samira 2 Lee, Seunggyu 2 Li, Jinjin 2 Li, Zhilin 2 Liao, Wenyuan 2 Lin, Ji 2 Liu, Caixia 2 Liu, Huan 2 Liu, Huanwen 2 Liu, Zhang ...and 562 more Authors all top 5 Cited in 115 Serials 29 Applied Mathematics and Computation 28 Numerical Methods for Partial Differential Equations 27 Journal of Computational and Applied Mathematics 23 Applied Numerical Mathematics 22 Computers & Mathematics with Applications 19 International Journal of Computer Mathematics 12 International Journal of Heat and Mass Transfer 12 Applied Mathematical Modelling 10 Mathematics and Computers in Simulation 10 Computational and Applied Mathematics 9 Computer Physics Communications 9 International Journal of Numerical Methods for Heat & Fluid Flow 7 Journal of Computational Physics 7 Applied Mathematics Letters 7 Journal of Difference Equations and Applications 7 Communications in Nonlinear Science and Numerical Simulation 7 Advances in Difference Equations 6 Mathematical Methods in the Applied Sciences 6 Mechanics Research Communications 6 International Journal of Approximate Reasoning 6 Numerical Algorithms 5 Applicable Analysis 5 Journal of Scientific Computing 4 Engineering Analysis with Boundary Elements 4 Mathematical Problems in Engineering 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 International Journal of Computational Methods 3 Boundary Value Problems 3 Advances in Applied Mathematics and Mechanics 3 International Journal of Applied and Computational Mathematics 2 Journal of Mathematical Analysis and Applications 2 Lithuanian Mathematical Journal 2 Information Sciences 2 International Journal for Numerical Methods in Engineering 2 Ricerche di Matematica 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 Complexity 2 Journal of Mathematical Chemistry 2 Differential Equations and Dynamical Systems 2 Journal of Applied Mathematics 2 Inverse Problems in Science and Engineering 2 Numerical Mathematics: Theory, Methods and Applications 2 Advances in Numerical Analysis 2 Science China. Mathematics 2 International Journal for Numerical Methods in Biomedical Engineering 2 Molecular Based Mathematical Biology 2 Computational Methods for Differential Equations 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Applied Mathematics and Computational Mechanics 2 Electronic Research Archive 1 Archives of Mechanics 1 International Journal of Engineering Science 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Physics Letters. A 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 BIT 1 Fuzzy Sets and Systems 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Semigroup Forum 1 Mathematica Numerica Sinica 1 Applied Mathematics and Mechanics. (English Edition) 1 Japan Journal of Industrial and Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Partial Differential Equations 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Journal of Computational Neuroscience 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Journal of Mathematical Study 1 Engineering Computations 1 Nonlinear Analysis. Real World Applications 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 Thai Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Waves in Random and Complex Media 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Communications in Computational Physics 1 Nonlinear Analysis. Hybrid Systems ...and 15 more Serials all top 5 Cited in 29 Fields 306 Numerical analysis (65-XX) 236 Partial differential equations (35-XX) 83 Classical thermodynamics, heat transfer (80-XX) 45 Fluid mechanics (76-XX) 22 Optics, electromagnetic theory (78-XX) 19 Mechanics of deformable solids (74-XX) 18 Biology and other natural sciences (92-XX) 14 Real functions (26-XX) 13 Ordinary differential equations (34-XX) 11 Approximations and expansions (41-XX) 11 Computer science (68-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Systems theory; control (93-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year