# zbMATH — the first resource for mathematics

## Dai, Weizhong

Compute Distance To:
 Author ID: dai.weizhong Published as: Dai, Weizhong; Dai, W.
 Documents Indexed: 98 Publications since 1986 Reviewing Activity: 80 Reviews
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 Shen, Lixin 4 Wang, Haojie 3 Chen, Chuandan 3 Han, Fei 3 Heyde, Christopher Charles 3 Jordan, Pedro M. 3 Mickens, Ronald Elbert 3 Mohanty, Ranjan Kumar 3 Zhang, Le 3 Zhang, Suyang 3 Zhu, Teng 2 Bejan, Adrian 2 Byrnes, Tim 2 Chuss, David T. 2 Guo, Shuangbing 2 Ji, Cuicui 2 Jiang, Beini 2 Khaliq, Abdul Q. M. 2 Li, Guang 2 Melnik, Roderick V. Nicholas 2 Niu, Tianchan 2 Sun, Hong 2 Tzou, Da Yu 2 Zhai, Shuying 2 Zhao, Jennifer Jing 2 Zhou, Xiaobo 1 Berens, Michael E. 1 Bora, Aniruddha 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 Ma, Baoling 1 Nwankwo, Chinonso 1 Ren, Jincheng 1 Shen, Shujun 1 Simicevic, N. 1 Song, Hertong 1 Struthers, Allan A. 1 Sun, Zhe 1 Wang, Pan 1 Weng, Zhifeng 1 Wu, Longyuan 1 Zhang, Yukong 1 Zhao, Di 1 Zhao, Kaiyong 1 Zhao, Xuqian
all top 5

#### Serials

 15 Numerical Methods for Partial Differential Equations 11 International Journal of Heat and Mass Transfer 9 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 2 Computer Physics Communications 2 Numerical Mathematics 2 Mathematica Numerica Sinica 2 Journal of Computational 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 Journal of Time Series Analysis 1 Applied Numerical Mathematics 1 International Journal of Approximate Reasoning 1 Journal of Applied Mathematics and Stochastic Analysis 1 Japan Journal of Industrial and Applied Mathematics 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 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

 66 Numerical analysis (65-XX) 55 Partial differential equations (35-XX) 37 Classical thermodynamics, heat transfer (80-XX) 12 Optics, electromagnetic theory (78-XX) 6 Fluid mechanics (76-XX) 6 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-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) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

81 Publications have been cited 546 times in 295 Documents Cited by Year
Itô’s formula with respect to fractional Brownian motion and its application. Zbl 0867.60029
Dai, W.; Heyde, C. C.
1996
A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096
Dai, Weizhong; Nassar, Raja
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
2000
Compact ADI method for solving parabolic differential equations. Zbl 1004.65086
Dai, Weizhong; Nassar, Raja
2002
Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. Zbl 1132.65083
Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan
2007
A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale. Zbl 0988.65074
Dai, Weizhong; Nassar, Raja
2001
An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient. Zbl 0746.65065
Dai, Weizhong
1992
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
2002
A note on the delayed heat equation: instability with respect to initial data. Zbl 1258.80002
Jordan, P. M.; Dai, W.; Mickens, R. E.
2008
An improved compact finite difference scheme for solving an $$N$$-carrier system with Neumann boundary conditions. Zbl 1211.65110
Dai, Weizhong
2011
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
2008
A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116
Wang, Xiaofeng; Dai, Weizhong
2018
Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157
Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang
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.
2005
Thermal lagging in multi-carrier systems. Zbl 1157.82365
Tzou, Da Yu; Dai, Weizhong
2009
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
2006
On the robustness to small trends of estimation based on the smoothed periodogram. Zbl 0845.62059
Heyde, C. C.; Dai, W.
1996
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
2004
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
2006
A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518
Dai, Weizhong; Chen, Chuandan
1989
A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017
Dai, W.; Nassar, R.
1998
A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200
Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing
2019
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
2017
A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332
Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong
2015
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
2010
A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092
Dai, W.; Nassar, R.
1997
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
2010
A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640
Dai, Weizhong; Nassar, Raja
1999
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
2005
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
2015
A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070
Dai, W.; Nassar, R.
1998
An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015
Dai, Weizhong; Nassar, Raja
2002
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
2001
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
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
2015
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
2006
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
2012
A hybrid finite element-finite difference method for thermal analysis in $$X$$-ray litography. Zbl 0953.80002
Dai, W.; Nassar, R.
1999
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
2004
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
2014
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
2015
A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083
Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong
2013
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
2019
New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163
Han, Fei; Dai, Weizhong
2013
A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082
Dai, Weizhong; Su, Shengjun
2004
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
2019
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
2018
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
2007
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
2021
A compact local one-dimensional scheme for solving a 3D $$N$$-carrier system with Neumann boundary conditions. Zbl 1201.65153
Dai, Weizhong
2010
A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075
Dai, Weizhong
1997
Absolutely stable explicit and semi-explicit schemes for Schrödinger equations. Zbl 0687.65118
Dai, Weizhong
1989
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
2005
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
2016
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
2011
A hyperbolic microscopic model and its numerical scheme for thermal analysis in an $$N$$-carrier system. Zbl 1158.80305
Dai, Weizhong
2009
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
2018
A nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328
Dai, Weizhong; Zhu, Teng
2004
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
2006
A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076
Dai, Weizhong
1997
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
2000
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
2004
A new ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients. Zbl 0971.65080
Dai, Weizhong; Nassar, Raja
2000
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
2008
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
2005
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
2007
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.
2008
Linearized difference scheme for a kind of nonlinear parabolic equation. Zbl 0705.65064
Dai, Weizhong
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
1987
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
2000
A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068
Dai, Weizhong; Nassar, Raja
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.
1997
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.
2005
Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236
Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde
2019
Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014
Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying
2019
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
2015
On the robustness of limit theorems. Zbl 0882.60019
Heyde, C. C.; Dai, W.
1995
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
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
2003
A new 3D mass diffusion-reaction model in the neuromuscular junction. Zbl 1446.92137
Khaliq, Abdul; Jenkins, Frank; Decoster, Mark; Dai, Weizhong
2011
Higher-order fractional Green and Gauss formulas. Zbl 1390.26008
Cheng, Jinfa; Dai, Weizhong
2018
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
2021
A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200
Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing
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
2019
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
2019
Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236
Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde
2019
Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014
Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying
2019
A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116
Wang, Xiaofeng; Dai, Weizhong
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
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
2018
Higher-order fractional Green and Gauss formulas. Zbl 1390.26008
Cheng, Jinfa; Dai, Weizhong
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
2017
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
2016
A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332
Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong
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
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
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
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
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
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
2014
A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083
Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong
2013
New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163
Han, Fei; Dai, Weizhong
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
2012
An improved compact finite difference scheme for solving an $$N$$-carrier system with Neumann boundary conditions. Zbl 1211.65110
Dai, Weizhong
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
2011
A new 3D mass diffusion-reaction model in the neuromuscular junction. Zbl 1446.92137
Khaliq, Abdul; Jenkins, Frank; Decoster, Mark; Dai, Weizhong
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
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
2010
A compact local one-dimensional scheme for solving a 3D $$N$$-carrier system with Neumann boundary conditions. Zbl 1201.65153
Dai, Weizhong
2010
Thermal lagging in multi-carrier systems. Zbl 1157.82365
Tzou, Da Yu; Dai, Weizhong
2009
A hyperbolic microscopic model and its numerical scheme for thermal analysis in an $$N$$-carrier system. Zbl 1158.80305
Dai, Weizhong
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.
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
2008
Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157
Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang
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
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.
2008
Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. Zbl 1132.65083
Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan
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
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
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
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
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
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
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.
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
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
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
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.
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
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
2004
A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082
Dai, Weizhong; Su, Shengjun
2004
A nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328
Dai, Weizhong; Zhu, Teng
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
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
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
2003
Compact ADI method for solving parabolic differential equations. Zbl 1004.65086
Dai, Weizhong; Nassar, Raja
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
2002
An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015
Dai, Weizhong; Nassar, Raja
2002
A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale. Zbl 0988.65074
Dai, Weizhong; Nassar, Raja
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
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
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
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
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
2000
A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068
Dai, Weizhong; Nassar, Raja
2000
A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096
Dai, Weizhong; Nassar, Raja
1999
A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640
Dai, Weizhong; Nassar, Raja
1999
A hybrid finite element-finite difference method for thermal analysis in $$X$$-ray litography. Zbl 0953.80002
Dai, W.; Nassar, R.
1999
A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017
Dai, W.; Nassar, R.
1998
A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070
Dai, W.; Nassar, R.
1998
A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092
Dai, W.; Nassar, R.
1997
A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075
Dai, Weizhong
1997
A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076
Dai, Weizhong
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.
1997
Itô’s formula with respect to fractional Brownian motion and its application. Zbl 0867.60029
Dai, W.; Heyde, C. C.
1996
On the robustness to small trends of estimation based on the smoothed periodogram. Zbl 0845.62059
Heyde, C. C.; Dai, W.
1996
On the robustness of limit theorems. Zbl 0882.60019
Heyde, C. C.; Dai, W.
1995
An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient. Zbl 0746.65065
Dai, Weizhong
1992
A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518
Dai, Weizhong; Chen, Chuandan
1989
Absolutely stable explicit and semi-explicit schemes for Schrödinger equations. Zbl 0687.65118
Dai, Weizhong
1989
Linearized difference scheme for a kind of nonlinear parabolic equation. Zbl 0705.65064
Dai, Weizhong
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
1987
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#### Cited by 455 Authors

 47 Dai, Weizhong 12 Nassar, Raja F. 10 Mohanty, Ranjan Kumar 10 Sun, Zhizhong 8 Deng, Dingwen 8 Straughan, Brian 8 Zhang, Zhiyue 7 Majchrzak, Ewa 7 Wang, Xiaofeng 6 Quintanilla de Latorre, Ramón 6 Zhang, Jun 5 Ge, Yongbin 5 Jordan, Pedro M. 5 Zhang, Chengjian 4 Ciarletta, Michele 4 Deka, Bhupen 4 Khaliq, Abdul Q. M. 4 Liang, Dong 4 Momoniat, Ebrahim 4 Turchan, Łukasz 4 Wang, Tingchun 4 Xie, Jianqiang 4 Yan, Yun 3 Cheng, Hong 3 Dehghan Takht Fooladi, Mehdi 3 Eltayeb, Ibrahim A. 3 Fu, Hongfei 3 Ji, Cuicui 3 Li, Shuguang 3 Liu, Li-Bin 3 Malek, Alaeddin 3 Martín, José Antonio 3 Mickens, Ronald Elbert 3 Poochinapan, Kanyuta 3 Qin, Jinggang 3 Rodríguez Mateos, Francisco 3 Tian, Zhenfu 3 Wang, Hong 3 Wang, Yuanming 3 Wongsaijai, Ben 3 Xie, Shusen 3 Zampoli, Vittorio 3 Zhang, Le 3 Zhao, Jennifer Jing 3 Zheng, Xiangcheng 2 Ang, Whyeteong 2 Avazzadeh, Zakieh 2 Bazarra, Noelia 2 Bhal, Santosh Kumar 2 Bhatt, Harish P. 2 Chen, Chuanmiao 2 Cheng, Jinfa 2 Christov, Christo Ivanov 2 Dai, Ruxin 2 Danumjaya, Palla 2 Decleer, Pieter 2 Du, Rui 2 Dutta, Jogen 2 Fairweather, Graeme 2 Fernández, Jose Ramon 2 Ghazanfarian, Jafar 2 Guo, Shuangbing 2 Han, Fei 2 Harley, Charis 2 Heydari, Mohammad Hossien 2 Hosseini, Mostafa 2 Hu, Hongling 2 Hughes, David Wynne 2 Jiang, Beini 2 Kaur, Deepti 2 Kumar, Naresh 2 Lee, Seunggyu Lee 2 Lesnic, Daniel 2 Liu, Caixia 2 Liu, Huanwen 2 Mouktonglang, Thanasak 2 Moxley, Frederick Ira III. 2 Omrani, Khaled 2 Pan, Xintian 2 Paruch, Marek 2 Patidar, Kailash C. 2 Proctor, Michael Richard Edward 2 Rahimi, Asghar 2 Rogier, Hendrik 2 Setia, Nikita 2 Sharma, Sachin S. 2 Shivanian, Elyas 2 Singh, Swarn 2 Su, Shengjun 2 Sun, Haiwei 2 Sun, Hong 2 Sun, Weiwei 2 Taleei, Ameneh 2 Tibullo, Vincenzo 2 van Londersele, Arne 2 Vande Ginste, Dries 2 Wang, Haojie 2 Wang, Tongke 2 Wang, Yin 2 Zhai, Shuying ...and 355 more Authors
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#### Cited in 84 Serials

 24 Applied Mathematics and Computation 23 Journal of Computational and Applied Mathematics 19 Numerical Methods for Partial Differential Equations 17 Computers & Mathematics with Applications 17 Applied Numerical Mathematics 12 International Journal of Heat and Mass Transfer 12 Applied Mathematical Modelling 11 International Journal of Computer Mathematics 9 Computational and Applied Mathematics 9 International Journal of Numerical Methods for Heat & Fluid Flow 7 Computer Physics Communications 7 Journal of Computational Physics 7 Journal of Difference Equations and Applications 6 Mathematics and Computers in Simulation 6 Mechanics Research Communications 5 Applied Mathematics Letters 5 Journal of Scientific Computing 4 Applicable Analysis 4 Numerical Algorithms 4 Engineering Analysis with Boundary Elements 4 Mathematical Problems in Engineering 3 Communications in Nonlinear Science and Numerical Simulation 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 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 Advances in Difference Equations 2 Advances in Numerical Analysis 2 Advances in Applied Mathematics and Mechanics 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 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 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Semigroup Forum 1 Applied Mathematics and Mechanics. (English Edition) 1 Asymptotic 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 Complexity 1 Differential Equations and Dynamical Systems 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 Engineering Computations 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Multiscale Modeling & Simulation 1 Thai Journal of Mathematics 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Nonlinear Analysis. Hybrid Systems 1 Advances in Mathematical Physics 1 Azerbaijan Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 Journal of Function Spaces 1 Sahand Communications in Mathematical Analysis 1 International Journal of Applied and Computational Mathematics 1 Results in Applied Mathematics
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#### Cited in 24 Fields

 218 Numerical analysis (65-XX) 163 Partial differential equations (35-XX) 75 Classical thermodynamics, heat transfer (80-XX) 36 Fluid mechanics (76-XX) 18 Optics, electromagnetic theory (78-XX) 15 Biology and other natural sciences (92-XX) 14 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Real functions (26-XX) 5 Approximations and expansions (41-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)