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Author ID: dai.weizhong Recent zbMATH articles by "Dai, Weizhong"
Published as: Dai, Weizhong; Dai, W.
Homepage: https://www2.latech.edu/~dai/
External Links: MGP
Documents Indexed: 97 Publications since 1986
Reviewing Activity: 82 Reviews
Co-Authors: 63 Co-Authors with 84 Joint Publications
1,254 Co-Co-Authors
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 Numerical 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 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

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 514 times in 320 Documents Cited by Year
A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096
Dai, Weizhong; Nassar, Raja
34
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
30
2000
Compact ADI method for solving parabolic differential equations. Zbl 1004.65086
Dai, Weizhong; Nassar, Raja
27
2002
Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. Zbl 1132.65083
Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan
19
2007
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 note on the delayed heat equation: instability with respect to initial data. Zbl 1258.80002
Jordan, P. M.; Dai, W.; Mickens, R. E.
17
2008
An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient. Zbl 0746.65065
Dai, Weizhong
16
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
16
2002
An improved compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1211.65110
Dai, Weizhong
15
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
15
2008
A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116
Wang, Xiaofeng; Dai, Weizhong
15
2018
Thermal lagging in multi-carrier systems. Zbl 1157.82365
Tzou, Da Yu; Dai, Weizhong
13
2009
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.
12
2005
Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157
Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang
12
2008
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
9
2006
A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332
Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong
9
2015
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
8
2017
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 conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200
Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing
8
2019
A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017
Dai, W.; Nassar, R.
7
1998
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
7
2006
A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518
Dai, Weizhong; Chen, Chuandan
7
1989
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
6
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
6
2010
A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640
Dai, Weizhong; Nassar, Raja
6
1999
A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092
Dai, W.; Nassar, R.
6
1997
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
6
2016
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
6
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 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
5
2006
An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015
Dai, Weizhong; Nassar, Raja
5
2002
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
5
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
5
2015
A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070
Dai, W.; Nassar, R.
5
1998
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
New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163
Han, Fei; Dai, Weizhong
5
2013
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 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
5
2005
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
5
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
5
2021
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
5
2014
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 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
4
2004
A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083
Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong
4
2013
A hybrid finite element-finite difference method for thermal analysis in \(X\)-ray litography. Zbl 0953.80002
Dai, W.; Nassar, R.
4
1999
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
4
2012
A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082
Dai, Weizhong; Su, Shengjun
4
2004
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
4
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
3
2018
A hyperbolic microscopic model and its numerical scheme for thermal analysis in an \(N\)-carrier system. Zbl 1158.80305
Dai, Weizhong
3
2009
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 generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075
Dai, Weizhong
3
1997
A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076
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
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
3
2005
Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236
Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde
3
2019
Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014
Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying
3
2019
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
2
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
2
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
2
2007
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
2
2006
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 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
2
2015
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
2
2004
A nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328
Dai, Weizhong; Zhu, Teng
2
2004
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 ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients. Zbl 0971.65080
Dai, Weizhong; Nassar, Raja
2
2000
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
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
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 the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068
Dai, Weizhong; 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
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
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.
1
2005
Higher-order fractional Green and Gauss formulas. Zbl 1390.26008
Cheng, Jinfa; Dai, Weizhong
1
2018
Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Zbl 07323518
Bora, Aniruddha; Dai, Weizhong
1
2020
Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Zbl 1481.65161
Wang, Xiaofeng; Dai, Weizhong; Yan, Yun
1
2021
A new 3D mass diffusion-reaction model in the neuromuscular junction. Zbl 1446.92137
Khaliq, Abdul; Jenkins, Frank; Decoster, Mark; Dai, Weizhong
1
2011
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
5
2021
Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Zbl 1481.65161
Wang, Xiaofeng; Dai, Weizhong; Yan, Yun
1
2021
Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Zbl 07323518
Bora, Aniruddha; Dai, Weizhong
1
2020
A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200
Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing
8
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
6
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
4
2019
Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236
Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde
3
2019
Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014
Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying
3
2019
A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116
Wang, Xiaofeng; Dai, Weizhong
15
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
5
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
3
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
8
2017
New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176
Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong
6
2016
A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332
Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong
9
2015
Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Zbl 1328.65179
Mohanty, R. K.; Dai, Weizhong; Liu, Don
6
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
5
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
5
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
2
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
5
2014
New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163
Han, Fei; Dai, Weizhong
5
2013
A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083
Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong
4
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
4
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
1
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
6
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
13
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.
17
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
15
2008
Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157
Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang
12
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
2
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
19
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
9
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
7
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
5
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
2
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.
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 1072.65115
Kaba, Ibrahima K.; Dai, Weizhong
5
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
3
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.
1
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
4
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
2
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
27
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
5
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
30
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 the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068
Dai, Weizhong; Nassar, Raja
1
2000
A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096
Dai, Weizhong; Nassar, Raja
34
1999
A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640
Dai, Weizhong; Nassar, Raja
6
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 generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075
Dai, Weizhong
3
1997
A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076
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
16
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 top 5

Cited by 508 Authors

49 Dai, Weizhong
12 Nassar, Raja F.
10 Mohanty, Ranjan Kumar
10 Sun, Zhizhong
9 Straughan, Brian
8 Deng, Dingwen
8 Zhang, Zhiyue
7 Majchrzak, Ewa
7 Wang, Xiaofeng
6 Ge, Yongbin
6 Quintanilla de Latorre, Ramón
6 Zhang, Jun
5 Jordan, Pedro M.
5 Zhang, Chengjian
4 Ciarletta, Michele
4 Deka, Bhupen
4 Khaliq, Abdul Q. M.
4 Li, Shuguang
4 Liang, Dong
4 Momoniat, Ebrahim
4 Turchan, Łukasz
4 Wang, Tingchun
4 Wongsaijai, Ben
4 Xie, Jianqiang
4 Yan, Yun
4 Zhang, Luming
3 Cheng, Hong
3 Dehghan Takht Fooladi, Mehdi
3 Dutta, Jogen
3 Eltayeb, Ibrahim A.
3 Fu, Hongfei
3 Ji, Cuicui
3 Lesnic, Daniel
3 Liu, Li-Bin
3 Malek, Alaeddin
3 Martín, José Antonio
3 Mickens, Ronald Elbert
3 Mouktonglang, Thanasak
3 Poochinapan, Kanyuta
3 Qin, Jinggang
3 Rodríguez Mateos, Francisco
3 Tian, Zhenfu
3 Wang, Hong
3 Wang, Yuanming
3 Xie, Shusen
3 Zampoli, Vittorio
3 Zhang, Le
3 Zhao, Jennifer Jing
3 Zheng, Xiangcheng
2 Alam Khan, Najeeb
2 Alosaimi, M.
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 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 Lin, Ji
2 Liu, Caixia
2 Liu, Huanwen
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 Reutskiy, Sergiy Yu
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
...and 408 more Authors
all top 5

Cited in 90 Serials

25 Applied Mathematics and Computation
23 Journal of Computational and Applied Mathematics
20 Applied Numerical Mathematics
19 Numerical Methods for Partial Differential Equations
17 Computers & Mathematics with Applications
14 International Journal of Computer Mathematics
12 International Journal of Heat and Mass Transfer
12 Applied Mathematical Modelling
9 Computational and Applied Mathematics
9 International Journal of Numerical Methods for Heat & Fluid Flow
8 Mathematics and Computers in Simulation
7 Computer Physics Communications
7 Journal of Computational Physics
7 Journal of Difference Equations and Applications
6 Mechanics Research Communications
6 Applied Mathematics Letters
5 Journal of Scientific Computing
5 Advances in Difference Equations
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
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 Journal of Applied Mathematics
2 International Journal of Computational Methods
2 Boundary Value Problems
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 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 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Semigroup Forum
1 Applied Mathematics and Mechanics. (English Edition)
1 International Journal of Approximate Reasoning
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 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 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
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 Results in Applied Mathematics

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