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: 101 Publications since 1986 Reviewing Activity: 87 Reviews Co-Authors: 68 Co-Authors with 89 Joint Publications 1,432 Co-Co-Authors all top 5 Co-Authors 12 single-authored 26 Nassar, Raja F. 8 Wang, Xiaofeng 6 Su, Shengjun 6 Sun, Zhizhong 5 Moxley, Frederick Ira III. 5 Yan, Yun 4 Cheng, Jinfa 4 Mickens, Ronald Elbert 4 Shen, Lixin 4 Wang, Haojie 3 Chen, Chuandan 3 Han, Fei 3 Ji, Cuicui 3 Jordan, Pedro M. 3 Mohanty, Ranjan Kumar 3 Zhang, Le 3 Zhang, Suyang 3 Zhu, Teng 2 Bejan, Adrian 2 Bora, Aniruddha 2 Byrnes, Tim 2 Chuss, David T. 2 Guo, Feng 2 Guo, Shuangbing 2 Jiang, Beini 2 Khaliq, Abdul Q. M. 2 Li, Guang 2 Melnik, Roderick V. Nicholas 2 Niu, Tianchan 2 Nwankwo, Chinonso 2 Shen, Shujun 2 Sun, Hong 2 Tzou, Da Yu 2 Zhai, Shuying 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 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 Ren, Jincheng 1 Simicevic, N. 1 Song, Hertong 1 Struthers, Allan A. 1 Sun, Zhe 1 Wang, Pan 1 Weng, Zhifeng 1 Wilson, Joshua P. 1 Wu, Longyuan 1 Zhang, Yukong 1 Zhao, Di 1 Zhao, Kaiyong 1 Zhao, Xuqian 1 Zhuang, Pinghui all top 5 Serials 15 Numerical Methods for Partial Differential Equations 11 International Journal of Heat and Mass Transfer 10 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 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 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 74 Numerical analysis (65-XX) 60 Partial differential equations (35-XX) 39 Classical thermodynamics, heat transfer (80-XX) 13 Optics, electromagnetic theory (78-XX) 6 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 85 Publications have been cited 610 times in 375 Documents Cited by ▼ Year ▼ A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096Dai, Weizhong; Nassar, Raja 37 1999 A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film. Zbl 0961.65072Dai, Weizhong; Nassar, Raja 31 2000 Compact ADI method for solving parabolic differential equations. Zbl 1004.65086Dai, Weizhong; Nassar, Raja 27 2002 Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. Zbl 1132.65083Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan 22 2007 A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116Wang, Xiaofeng; Dai, Weizhong 22 2018 An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient. Zbl 0746.65065Dai, Weizhong 19 1992 A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale. Zbl 0988.65074Dai, Weizhong; Nassar, Raja 19 2001 A note on the delayed heat equation: instability with respect to initial data. Zbl 1258.80002Jordan, P. M.; Dai, W.; Mickens, R. E. 19 2008 Thermal lagging in multi-carrier systems. Zbl 1157.82365Tzou, Da Yu; Dai, Weizhong 17 2009 An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film. Zbl 1005.65084Dai, Weizhong; Nassar, Raja 16 2002 A mathematical model for skin burn injury induced by radiation heating. Zbl 1151.80302Dai, Weizhong; Wang, Haojie; Jordan, Pedro M.; Mickens, Ronald E.; Bejan, Adrian 16 2008 An improved compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1211.65110Dai, Weizhong 15 2011 Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang 13 2008 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation. Zbl 1189.80029Su, S.; Dai, W.; Jordan, P. M.; Mickens, R. E. 12 2005 A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D. Zbl 1432.65127Wang, Xiaofeng; Dai, Weizhong 12 2019 A stable finite difference scheme for solving a hyperbolic two-step model in a 3D micro sphere exposed to ultrashort-pulsed lasers. Zbl 1182.80015Dai, Weizhong; Song, Hertong; Su, Shengjun; Nassar, Raja 11 2006 A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong 11 2015 A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Zbl 1459.76094Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad 10 2021 New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong 10 2016 A finite difference method for studying thermal deformation in a thin film exposed to ultrashort-pulsed lasers. Zbl 1189.74034Wang, Haojie; Dai, Weizhong; Nassar, Raja; Melnik, Roderick 9 2006 A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film. Zbl 1359.65161Sun, Hong; Sun, Zhi-Zhong; Dai, Weizhong 9 2017 Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. Zbl 1339.65133Mohanty, R. K.; Dai, Weizhong; Han, Fei 9 2015 A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing 9 2019 Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Zbl 1328.65179Mohanty, R. K.; Dai, Weizhong; Liu, Don 8 2015 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 1038.80008Dai, Weizhong; Li, Quang; Nassar, Raja; Shen, Lixin 8 2004 Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film. Zbl 1434.65120Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 8 2019 A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. Zbl 1317.65218Mohanty, R. K.; Dai, Weizhong; Han, Fei 7 2015 A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017Dai, W.; Nassar, R. 7 1998 A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518Dai, Weizhong; Chen, Chuandan 7 1989 A fourth-order compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1189.65192Dai, Weizhong; Tzou, Da Yu 7 2010 New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163Han, Fei; Dai, Weizhong 7 2013 A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. Zbl 1310.65096Sun, Zhi-Zhong; Dai, Weizhong 7 2014 A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation. Zbl 1413.65407Wang, Xiaofeng; Dai, Weizhong 7 2018 Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde 7 2019 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 1109.65073Dai, Weizhong; Li, Guang 6 2006 A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640Dai, Weizhong; Nassar, Raja 6 1999 A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092Dai, W.; Nassar, R. 6 1997 An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015Dai, Weizhong; Nassar, Raja 6 2002 A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong 6 2013 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 1072.65115Kaba, Ibrahima K.; Dai, Weizhong 6 2005 A generalized finite-difference time-domain quantum method for the \(N\)-body interacting Hamiltonian. Zbl 1302.65197Moxley, Frederick Ira III.; Byrnes, Tim; Fujiwara, Fumitaka; Dai, Weizhong 5 2012 A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1052.80010Dai, Weizhong; Shen, Lixin; Nassar, Raja; Zhu, Teng 5 2004 A high order accurate numerical method for solving two-dimensional dual-phase-lagging equation with temperature jump boundary condition in nanoheat conduction. Zbl 1335.65074Sun, 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 0989.80026Dai, Weizhong; Nassar, Raja 5 2001 A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070Dai, W.; Nassar, R. 5 1998 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 1208.65135Zhao, Di; Dai, Weizhong 5 2010 Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition. Zbl 1422.65158Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 5 2018 A hybrid finite element-finite difference method for thermal analysis in \(X\)-ray litography. Zbl 0953.80002Dai, W.; Nassar, R. 4 1999 Optimal temperature distribution in a 3D triple-layered skin structure embedded with artery and vein vasculature and induced by electromagnetic radiation. Zbl 1119.80006Wang, Haojie; Dai, Weizhong; Bejan, Adrian 4 2007 A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082Dai, Weizhong; Su, Shengjun 4 2004 On the stability of the FDTD method for solving a time-dependent Schrödinger equation. Zbl 1080.65082Dai, Weizhong; Li, Guang; Nassar, Raja; Su, Shengjun 4 2005 Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying 4 2019 A hyperbolic microscopic model and its numerical scheme for thermal analysis in an \(N\)-carrier system. Zbl 1158.80305Dai, Weizhong 3 2009 A compact local one-dimensional scheme for solving a 3D \(N\)-carrier system with Neumann boundary conditions. Zbl 1201.65153Dai, Weizhong 3 2010 A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075Dai, Weizhong 3 1997 A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076Dai, Weizhong 3 1997 Absolutely stable explicit and semi-explicit schemes for Schrödinger equations. Zbl 0687.65118Dai, Weizhong 3 1989 A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations. Zbl 1352.65256Moxley, Frederick Ira; Byrnes, Tim; Ma, Baoling; Yan, Yun; Dai, Weizhong 3 2015 A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1047.65065Dai, Weizhong; Shen, Lixin; Nassar, Raja 3 2004 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 1157.80318Dai, Weizhong; Niu, Tianchan 3 2008 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 1242.92002Jiang, 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 the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068Dai, Weizhong; Nassar, Raja 2 2000 A preconditioned Richardson method for solving three-dimensional thin film problems with first-order derivatives and variable coefficients. Zbl 0982.76068Dai, Weizhong; Nassar, Raja 2 2000 A new ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients. Zbl 0971.65080Dai, Weizhong; Nassar, Raja 2 2000 A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers. Zbl 1142.80004Zhang, Suyang; Dai, Weizhong; Wang, Haojie; Melnik, Roderick V. N. 2 2008 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation with a heat source. Zbl 1189.80030Su, Shengjun; Dai, Weizhong 2 2006 A nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328Dai, Weizhong; Zhu, Teng 2 2004 A numerical algorithm for obtaining an optimal temperature distribution in a 3D triple layered cylindrical skin structure. Zbl 1207.80028Zhang, Le; Dai, Weizhong; Nassar, Raja 2 2007 A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain. Zbl 1486.65104Guo, Feng; Dai, Weizhong 2 2022 A new 3D mass diffusion-reaction model in the neuromuscular junction. Zbl 1446.92137Khaliq, Abdul; Jenkins, Frank; Decoster, Mark; Dai, Weizhong 2 2011 Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Zbl 1497.65117Bora, Aniruddha; Dai, Weizhong 2 2020 Nonstandard finite difference schemes for solving nonlinear micro heat transport equations in double-layered metal thin films exposed to ultrashort pulsed lasers. Zbl 1207.80026Dai, Weizhong 2 2005 Numerical simulation of nanopulse penetration of biological matter using the \(z\)-transform. Zbl 1108.78014Su, S.; Dai, W.; Haynie, D. T.; Nassar, R.; Simicevic, N. 2 2005 Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Zbl 1481.65161Wang, Xiaofeng; Dai, Weizhong; Yan, Yun 2 2021 A hybrid finite element-alternating direction implicit method for solving parabolic differential equations on multilayers with irregular geometry. Zbl 0952.65073Dai, 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 0964.80009Dai, W.; Nassar, R. 1 1997 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 1042.65071Dai, Weizhong; Nassar, Raja 1 2003 Comparison of the solutions of a 1D dual-phase-lagging heat transport equation and its approximations. Zbl 1067.80003Zhu, Teng; Dai, Weizhong; Shen, Lixin 1 2004 Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction. Zbl 1435.65134Shen, Shujun; Dai, Weizhong; Cheng, Jinfa 1 2020 Higher-order fractional Green and Gauss formulas. Zbl 1390.26008Cheng, Jinfa; Dai, Weizhong 1 2018 Novel 3D GPU based numerical parallel diffusion algorithms in cylindrical coordinates for health care simulation. Zbl 07313326Jiang, Beini; Dai, Weizhong; Khaliq, Abdul; Carey, Michelle; Zhou, Xiaobo; Zhang, Le 1 2015 Linearized difference scheme for a kind of nonlinear parabolic equation. Zbl 0705.65064Dai, Weizhong 1 1989 The general three level explicit difference schemes for solving parabolic equations with variable coefficients and mixed derivatives. Zbl 0663.65097Dai, Weizhong; Chen, Chuandan 1 1987 Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating. Zbl 1434.65145Zhai, Shuying; Huang, Langyang; Weng, Zhifeng; Dai, Weizhong 1 2020 A new artificial neural network method for solving Schrödinger equations on unbounded domains. Zbl 1498.65189Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. 1 2022 A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain. Zbl 1486.65104Guo, Feng; Dai, Weizhong 2 2022 A new artificial neural network method for solving Schrödinger equations on unbounded domains. Zbl 1498.65189Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. 1 2022 A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Zbl 1459.76094Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad 10 2021 Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Zbl 1481.65161Wang, Xiaofeng; Dai, Weizhong; Yan, Yun 2 2021 Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Zbl 1497.65117Bora, Aniruddha; Dai, Weizhong 2 2020 Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction. Zbl 1435.65134Shen, Shujun; Dai, Weizhong; Cheng, Jinfa 1 2020 Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating. Zbl 1434.65145Zhai, 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 1432.65127Wang, Xiaofeng; Dai, Weizhong 12 2019 A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing 9 2019 Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film. Zbl 1434.65120Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 8 2019 Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde 7 2019 Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying 4 2019 A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116Wang, Xiaofeng; Dai, Weizhong 22 2018 A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation. Zbl 1413.65407Wang, Xiaofeng; Dai, Weizhong 7 2018 Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition. Zbl 1422.65158Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 5 2018 Higher-order fractional Green and Gauss formulas. Zbl 1390.26008Cheng, 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 1359.65161Sun, Hong; Sun, Zhi-Zhong; Dai, Weizhong 9 2017 New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong 10 2016 A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332Yan, 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 1339.65133Mohanty, R. K.; Dai, Weizhong; Han, Fei 9 2015 Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Zbl 1328.65179Mohanty, R. K.; Dai, Weizhong; Liu, Don 8 2015 A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. Zbl 1317.65218Mohanty, 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 1335.65074Sun, Hong; Du, Rui; Dai, Weizhong; Sun, Zhi-Zhong 5 2015 A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations. Zbl 1352.65256Moxley, Frederick Ira; Byrnes, Tim; Ma, Baoling; Yan, Yun; Dai, Weizhong 3 2015 Novel 3D GPU based numerical parallel diffusion algorithms in cylindrical coordinates for health care simulation. Zbl 07313326Jiang, 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 1310.65096Sun, Zhi-Zhong; Dai, Weizhong 7 2014 New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163Han, Fei; Dai, Weizhong 7 2013 A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong 6 2013 A generalized finite-difference time-domain quantum method for the \(N\)-body interacting Hamiltonian. Zbl 1302.65197Moxley, Frederick Ira III.; Byrnes, Tim; Fujiwara, Fumitaka; Dai, Weizhong 5 2012 An improved compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1211.65110Dai, 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 1242.92002Jiang, 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 1446.92137Khaliq, 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 1189.65192Dai, 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 1208.65135Zhao, Di; Dai, Weizhong 5 2010 A compact local one-dimensional scheme for solving a 3D \(N\)-carrier system with Neumann boundary conditions. Zbl 1201.65153Dai, Weizhong 3 2010 Thermal lagging in multi-carrier systems. Zbl 1157.82365Tzou, Da Yu; Dai, Weizhong 17 2009 A hyperbolic microscopic model and its numerical scheme for thermal analysis in an \(N\)-carrier system. Zbl 1158.80305Dai, Weizhong 3 2009 A note on the delayed heat equation: instability with respect to initial data. Zbl 1258.80002Jordan, P. M.; Dai, W.; Mickens, R. E. 19 2008 A mathematical model for skin burn injury induced by radiation heating. Zbl 1151.80302Dai, Weizhong; Wang, Haojie; Jordan, Pedro M.; Mickens, Ronald E.; Bejan, Adrian 16 2008 Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang 13 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 1157.80318Dai, Weizhong; Niu, Tianchan 3 2008 A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers. Zbl 1142.80004Zhang, 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 1132.65083Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan 22 2007 Optimal temperature distribution in a 3D triple-layered skin structure embedded with artery and vein vasculature and induced by electromagnetic radiation. Zbl 1119.80006Wang, 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 1207.80028Zhang, 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 1182.80015Dai, 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 1189.74034Wang, 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 1109.65073Dai, 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 1189.80030Su, Shengjun; Dai, Weizhong 2 2006 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation. Zbl 1189.80029Su, S.; Dai, W.; Jordan, P. M.; Mickens, R. E. 12 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 1072.65115Kaba, Ibrahima K.; Dai, Weizhong 6 2005 On the stability of the FDTD method for solving a time-dependent Schrödinger equation. Zbl 1080.65082Dai, 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 1207.80026Dai, Weizhong 2 2005 Numerical simulation of nanopulse penetration of biological matter using the \(z\)-transform. Zbl 1108.78014Su, 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 1038.80008Dai, 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 1052.80010Dai, Weizhong; Shen, Lixin; Nassar, Raja; Zhu, Teng 5 2004 A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082Dai, 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 1047.65065Dai, Weizhong; Shen, Lixin; Nassar, Raja 3 2004 A nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328Dai, Weizhong; Zhu, Teng 2 2004 Comparison of the solutions of a 1D dual-phase-lagging heat transport equation and its approximations. Zbl 1067.80003Zhu, 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 1042.65071Dai, Weizhong; Nassar, Raja 1 2003 Compact ADI method for solving parabolic differential equations. Zbl 1004.65086Dai, Weizhong; Nassar, Raja 27 2002 An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film. Zbl 1005.65084Dai, Weizhong; Nassar, Raja 16 2002 An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015Dai, Weizhong; Nassar, Raja 6 2002 A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale. Zbl 0988.65074Dai, 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 0989.80026Dai, Weizhong; Nassar, Raja 5 2001 A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film. Zbl 0961.65072Dai, Weizhong; Nassar, Raja 31 2000 A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068Dai, Weizhong; Nassar, Raja 2 2000 A preconditioned Richardson method for solving three-dimensional thin film problems with first-order derivatives and variable coefficients. Zbl 0982.76068Dai, Weizhong; Nassar, Raja 2 2000 A new ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients. Zbl 0971.65080Dai, Weizhong; Nassar, Raja 2 2000 A hybrid finite element-alternating direction implicit method for solving parabolic differential equations on multilayers with irregular geometry. Zbl 0952.65073Dai, Weizhong; Zhang, Yukong; Nassar, Raja 1 2000 A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096Dai, Weizhong; Nassar, Raja 37 1999 A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640Dai, Weizhong; Nassar, Raja 6 1999 A hybrid finite element-finite difference method for thermal analysis in \(X\)-ray litography. Zbl 0953.80002Dai, W.; Nassar, R. 4 1999 A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017Dai, W.; Nassar, R. 7 1998 A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070Dai, W.; Nassar, R. 5 1998 A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092Dai, W.; Nassar, R. 6 1997 A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075Dai, Weizhong 3 1997 A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076Dai, Weizhong 3 1997 A generalized two-cycle componentwise splitting method for solving three-dimensional parabolic differential equations with variable coefficients on multilayers. Zbl 0964.80009Dai, W.; Nassar, R. 1 1997 An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient. Zbl 0746.65065Dai, Weizhong 19 1992 A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518Dai, Weizhong; Chen, Chuandan 7 1989 Absolutely stable explicit and semi-explicit schemes for Schrödinger equations. Zbl 0687.65118Dai, Weizhong 3 1989 Linearized difference scheme for a kind of nonlinear parabolic equation. Zbl 0705.65064Dai, Weizhong 1 1989 The general three level explicit difference schemes for solving parabolic equations with variable coefficients and mixed derivatives. Zbl 0663.65097Dai, Weizhong; Chen, Chuandan 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 607 Authors 52 Dai, Weizhong 13 Mohanty, Ranjan Kumar 12 Nassar, Raja F. 10 Deng, Dingwen 10 Sun, Zhizhong 9 Straughan, Brian 8 Zhang, Zhiyue 7 Majchrzak, Ewa 7 Wang, Xiaofeng 6 Cheng, Hong 6 Ge, Yongbin 6 Lesnic, Daniel 6 Quintanilla de Latorre, Ramón 6 Wongsaijai, Ben 6 Zhang, Jun 5 Alosaimi, Moataz 5 Deka, Bhupen 5 Jordan, Pedro M. 5 Li, Shuguang 5 Poochinapan, Kanyuta 5 Zhang, Chengjian 5 Zhang, Luming 4 Ciarletta, Michele 4 Dutta, Jogen 4 Ji, Cuicui 4 Khaliq, Abdul Q. M. 4 Liang, Dong 4 Momoniat, Ebrahim 4 Omrani, Khaled 4 Turchan, Łukasz 4 Wang, Hong 4 Wang, Tingchun 4 Xie, Jianqiang 4 Yan, Yun 4 Zheng, Xiangcheng 3 Bhal, Santosh Kumar 3 Dehghan Takht Fooladi, Mehdi 3 Eltayeb, Ibrahim A. 3 Fu, Hongfei 3 Kaur, Deepti 3 Liu, Li-Bin 3 Malek, Alaeddin 3 Martín, José Antonio 3 Mickens, Ronald Elbert 3 Mouktonglang, Thanasak 3 Qin, Jinggang 3 Rodríguez Mateos, Francisco 3 Tian, Zhenfu 3 Wang, Yuanming 3 Xie, Shusen 3 Xu, Da 3 Zampoli, Vittorio 3 Zhang, Le 3 Zhang, Xiaohua 3 Zhao, Jennifer Jing 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 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, Feng 2 Guo, Shuangbing 2 Han, Fei 2 Harley, Charis 2 Heydari, Mohammad Hossien 2 Hosseini, Mostafa 2 Hu, Hongling 2 Hughes, David Wynne 2 Jha, Navnit 2 Jiang, Beini 2 Jiang, Chaolong 2 Kumar, Naresh 2 Labidi, Samira 2 Lee, Seunggyu Lee 2 Li, Jinhai 2 Li, Jinjin 2 Li, Zhilin 2 Liao, Wenyuan 2 Lin, Ji 2 Liu, Caixia 2 Liu, Huanwen 2 Liu, Zhang 2 Moxley, Frederick Ira III. 2 Pan, Kejia 2 Pan, Xintian 2 Paruch, Marek ...and 507 more Authors all top 5 Cited in 106 Serials 29 Applied Mathematics and Computation 26 Journal of Computational and Applied Mathematics 23 Applied Numerical Mathematics 21 Computers & Mathematics with Applications 19 Numerical Methods for Partial Differential Equations 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 International Journal of Numerical Methods for Heat & Fluid Flow 8 Computer Physics Communications 7 Journal of Computational Physics 7 Applied Mathematics Letters 7 Journal of Difference Equations and Applications 7 Advances in Difference Equations 6 Mechanics Research Communications 5 Applicable Analysis 5 International Journal of Approximate Reasoning 5 Journal of Scientific Computing 5 Communications in Nonlinear Science and Numerical Simulation 4 Numerical Algorithms 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 International Journal for Numerical Methods in Engineering 2 Ricerche di Matematica 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 Complexity 2 Differential Equations and Dynamical Systems 2 Journal of Applied Mathematics 2 Inverse Problems in Science and Engineering 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 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 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 BIT 1 Fuzzy Sets and Systems 1 Information Sciences 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 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 Journal of Mathematical Chemistry 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 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 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 Azerbaijan Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Mathematical Sciences 1 Journal of Mathematics ...and 6 more Serials all top 5 Cited in 26 Fields 280 Numerical analysis (65-XX) 215 Partial differential equations (35-XX) 79 Classical thermodynamics, heat transfer (80-XX) 43 Fluid mechanics (76-XX) 21 Optics, electromagnetic theory (78-XX) 17 Mechanics of deformable solids (74-XX) 17 Biology and other natural sciences (92-XX) 11 Real functions (26-XX) 11 Ordinary differential equations (34-XX) 9 Computer science (68-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Approximations and expansions (41-XX) 7 Systems theory; control (93-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 2 Special functions (33-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 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year