Edit Profile (opens in new tab) Dai, Weizhong Co-Author Distance Author ID: dai.weizhong Published as: Dai, Weizhong; Dai, W. Homepage: https://www2.latech.edu/~dai/ External Links: MGP Documents Indexed: 110 Publications since 1986 Reviewing Activity: 90 Reviews Co-Authors: 73 Co-Authors with 98 Joint Publications 1,222 Co-Co-Authors all top 5 Co-Authors 12 single-authored 26 Nassar, Raja F. 9 Wang, Xiaofeng 6 Ji, Cuicui 6 Su, Shengjun 6 Sun, Zhizhong 5 Moxley, Frederick Ira III. 5 Yan, Yun 4 Cheng, Jinfa 4 Guo, Feng 4 Mickens, Ronald Elbert 4 Shen, Lixin 4 Wang, Haojie 3 Chen, Chuandan 3 Han, Fei 3 Jordan, Pedro M. 3 Mohanty, Ranjan Kumar 3 Nwankwo, Chinonso I. 3 Zhai, Shuying 3 Zhang, Le 3 Zhang, Suyang 3 Zhu, Teng 2 Bejan, Adrian 2 Bora, Aniruddha 2 Byrnes, Tim 2 Chuss, David T. 2 Guo, Shuangbing 2 Jiang, Beini 2 Khaliq, Abdul 2 Li, Guang 2 Melnik, Roderick V. Nicholas 2 Niu, Tianchan 2 Shen, Shujun 2 Sun, Hong 2 Tzou, Da Yu 2 Weng, Zhifeng 2 Wilson, Joshua P. 2 Zhao, Jennifer Jing 2 Zhou, Xiaobo 1 Awad, Emad S. 1 Berens, Michael E. 1 Boyt, Jacob C. 1 Carey, Michelle 1 Decoster, Mark 1 Du, Rui 1 Feng, Zhuo 1 Fujiwara, Fumitaka 1 Haynie, D. T. 1 He, Yuyu 1 Huang, Langyang 1 Huang, Zhehuang 1 Jenkins, Frank 1 Kaba, Ibrahima K. 1 Li, Jinjin 1 Li, Quang 1 Lin, Rongde 1 Liu, Don 1 Liu, Qingxia 1 Ma, Baoling 1 Mo, Yuchang 1 Ren, Jincheng 1 Simicevic, N. 1 Sobolev, Sergeĭ Leonidovich 1 Song, Hertong 1 Struthers, Allan A. 1 Sun, Zhe 1 Wang, Pan 1 Wu, Longyuan 1 Yang, Yanfang 1 Zhang, Yukong 1 Zhao, Di 1 Zhao, Kaiyong 1 Zhao, Xuqian 1 Zhuang, Pinghui all top 5 Serials 17 Numerical Methods for Partial Differential Equations 11 International Journal of Heat and Mass Transfer 11 Journal of Computational and Applied Mathematics 6 Applied Mathematics and Computation 6 International Journal of Numerical Methods for Heat & Fluid Flow 4 Journal of Xiamen University. Natural Science 4 Journal of Scientific Computing 3 International Journal for Numerical Methods in Engineering 3 Applied Numerical Mathematics 2 Computer Physics Communications 2 Journal of Computational Physics 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 Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics and Computers in Simulation 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 International Journal of Approximate Reasoning 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Journal of Computational Neuroscience 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Far East Journal of Applied Mathematics 1 Journal of Computational Analysis and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Computer Assisted Mechanics and Engineering Sciences 1 Decisions in Economics and Finance 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 Nonlinear Analysis. Hybrid Systems 1 Numerical Mathematics: Theory, Methods and Applications 1 The Open Applied Mathematics Journal 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Fractional Calculus and Applications all top 5 Fields 82 Numerical analysis (65-XX) 67 Partial differential equations (35-XX) 39 Classical thermodynamics, heat transfer (80-XX) 14 Optics, electromagnetic theory (78-XX) 7 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 4 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Computer science (68-XX) 2 Quantum theory (81-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 95 Publications have been cited 765 times in 477 Documents Cited by ▼ Year ▼ A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096 Dai, Weizhong; Nassar, Raja 38 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 35 2000 A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116 Wang, Xiaofeng; Dai, Weizhong 34 2018 Compact ADI method for solving parabolic differential equations. Zbl 1004.65086 Dai, Weizhong; Nassar, Raja 32 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. 28 2008 Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. Zbl 1132.65083 Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan 25 2007 An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient. Zbl 0746.65065 Dai, Weizhong 24 1992 A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale. Zbl 0988.65074 Dai, Weizhong; Nassar, Raja 20 2001 New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176 Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong 19 2016 Thermal lagging in multi-carrier systems. Zbl 1157.82365 Tzou, Da Yu; Dai, Weizhong 18 2009 A mathematical model for skin burn injury induced by radiation heating. Zbl 1151.80302 Dai, Weizhong; Wang, Haojie; Jordan, Pedro M.; Mickens, Ronald E.; Bejan, Adrian 18 2008 An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film. Zbl 1005.65084 Dai, Weizhong; Nassar, Raja 17 2002 Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157 Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang 15 2008 A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D. Zbl 1432.65127 Wang, Xiaofeng; Dai, Weizhong 15 2019 An improved compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1211.65110 Dai, Weizhong 15 2011 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. 14 2005 A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332 Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong 14 2015 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 12 2006 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 12 2019 A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200 Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing 12 2019 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 12 2015 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 12 2021 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 11 2015 Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236 Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde 11 2019 A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083 Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong 10 2013 A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film. Zbl 1359.65161 Sun, Hong; Sun, Zhi-Zhong; Dai, Weizhong 10 2017 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 10 2018 An unconditionally stable three level finite difference scheme for solving parabolic two-step micro heat transport equations in a three-dimensional double-layered thin film. Zbl 1038.80008 Dai, Weizhong; Li, Quang; Nassar, Raja; Shen, Lixin 9 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 9 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 9 2012 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 9 2018 A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. Zbl 1310.65096 Sun, Zhi-Zhong; Dai, Weizhong 9 2014 A fourth-order compact finite difference scheme for solving an \(N\)-carrier system with Neumann boundary conditions. Zbl 1189.65192 Dai, Weizhong; Tzou, Da Yu 8 2010 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 8 2015 New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163 Han, Fei; Dai, Weizhong 8 2013 A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017 Dai, W.; Nassar, R. 7 1998 A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640 Dai, Weizhong; Nassar, Raja 7 1999 A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518 Dai, Weizhong; Chen, Chuandan 7 1989 An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015 Dai, Weizhong; Nassar, Raja 7 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 7 2001 A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1052.80010 Dai, Weizhong; Shen, Lixin; Nassar, Raja; Zhu, Teng 6 2004 A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068 Dai, Weizhong; Nassar, Raja 6 2000 A stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers. Zbl 1072.65115 Kaba, Ibrahima K.; Dai, Weizhong 6 2005 On the stability of the FDTD method for solving a time-dependent Schrödinger equation. Zbl 1080.65082 Dai, Weizhong; Li, Guang; Nassar, Raja; Su, Shengjun 6 2005 A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092 Dai, W.; Nassar, R. 6 1997 A finite difference scheme for solving parabolic two-step micro-heat transport equations in a double-layered micro-sphere heated by ultrashort-pulsed lasers. Zbl 1109.65073 Dai, Weizhong; Li, Guang 6 2006 A high order accurate numerical method for solving two-dimensional dual-phase-lagging equation with temperature jump boundary condition in nanoheat conduction. Zbl 1335.65074 Sun, Hong; Du, Rui; Dai, Weizhong; Sun, Zhi-Zhong 6 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 6 2015 A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070 Dai, 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 1208.65135 Zhao, Di; Dai, Weizhong 5 2010 Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014 Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying 5 2019 Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model. Zbl 1531.65203 Weng, Zhifeng; Zhai, Shuying; Dai, Weizhong; Yang, Yanfang; Mo, Yuchang 5 2024 A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075 Dai, Weizhong 4 1997 A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076 Dai, Weizhong 4 1997 A hybrid finite element-finite difference method for thermal analysis in \(X\)-ray litography. Zbl 0953.80002 Dai, W.; Nassar, R. 4 1999 A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082 Dai, Weizhong; Su, Shengjun 4 2004 Optimal temperature distribution in a 3D triple-layered skin structure embedded with artery and vein vasculature and induced by electromagnetic radiation. Zbl 1119.80006 Wang, Haojie; Dai, Weizhong; Bejan, Adrian 4 2007 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 4 2006 A hyperbolic microscopic model and its numerical scheme for thermal analysis in an \(N\)-carrier system. Zbl 1158.80305 Dai, Weizhong 4 2009 Absolutely stable explicit and semi-explicit schemes for Schrödinger equations. Zbl 0687.65118 Dai, Weizhong 4 1989 Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Zbl 1481.65161 Wang, Xiaofeng; Dai, Weizhong; Yan, Yun 4 2021 A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1047.65065 Dai, Weizhong; Shen, Lixin; Nassar, Raja 3 2004 A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin film exposed to ultrashort-pulsed lasers with nonlinear interfacial conditions. Zbl 1157.80318 Dai, Weizhong; Niu, Tianchan 3 2008 A compact local one-dimensional scheme for solving a 3D \(N\)-carrier system with Neumann boundary conditions. Zbl 1201.65153 Dai, Weizhong 3 2010 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 ADI scheme for solving three-dimensional parabolic equations with first-order derivatives and variable coefficients. Zbl 0971.65080 Dai, Weizhong; Nassar, Raja 3 2000 Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Zbl 1497.65117 Bora, Aniruddha; Dai, Weizhong 3 2020 A new 3D mass diffusion-reaction model in the neuromuscular junction. Zbl 1446.92137 Khaliq, Abdul; Jenkins, Frank; Decoster, Mark; Dai, Weizhong 3 2011 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 2 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 Numerical simulation of nanopulse penetration of biological matter using the \(z\)-transform. Zbl 1108.78014 Su, S.; Dai, W.; Haynie, D. T.; Nassar, R.; Simicevic, N. 2 2005 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 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 nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328 Dai, Weizhong; Zhu, Teng 2 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 2 2003 A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain. Zbl 1486.65104 Guo, Feng; Dai, Weizhong 2 2022 A 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 Numerical algorithm with fourth-order spatial accuracy for solving the time-fractional dual-phase-lagging nanoscale heat conduction equation. Zbl 07814766 Ji, Cui-Cui; Dai, Weizhong 2 2023 A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation. Zbl 1463.65251 Wang, Xiaofeng; Dai, Weizhong 2 2020 Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction. Zbl 1435.65134 Shen, Shujun; Dai, Weizhong; Cheng, Jinfa 2 2020 Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. Zbl 1502.65072 Shen, Shujun; Dai, Weizhong; Liu, Qingxia; Zhuang, Pinghui 2 2023 A new artificial neural network method for solving Schrödinger equations on unbounded domains. Zbl 1498.65189 Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. 2 2022 Coupled and decoupled high-order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations. Zbl 1528.65047 He, Yuyu; Wang, Xiaofeng; Dai, Weizhong 2 2022 Novel 3D GPU based numerical parallel diffusion algorithms in cylindrical coordinates for health care simulation. Zbl 1519.92098 Jiang, Beini; Dai, Weizhong; Khaliq, Abdul; Carey, Michelle; Zhou, Xiaobo; Zhang, Le 2 2015 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 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 Linearized difference scheme for a kind of nonlinear parabolic equation. Zbl 0705.65064 Dai, Weizhong 1 1989 An adaptive and explicit fourth order Runge-Kutta-Fehlberg method coupled with compact finite differencing for pricing American put options. Zbl 1483.91257 Nwankwo, Chinonso; Dai, Weizhong 1 2021 Higher-order fractional Green and Gauss formulas. Zbl 1390.26008 Cheng, Jinfa; Dai, Weizhong 1 2018 Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating. Zbl 1434.65145 Zhai, Shuying; Huang, Langyang; Weng, Zhifeng; Dai, Weizhong 1 2020 On the efficiency of 5(4) RK-embedded pairs with high order compact scheme and Robin boundary condition for options valuation. Zbl 1492.91429 Nwankwo, Chinonso; Dai, Weizhong 1 2022 A new absorbing layer approach for solving the nonlinear Schrödinger equation. Zbl 07705792 Guo, Feng; Dai, Weizhong 1 2023 A fractional-order alternative for phase-lagging equation. Zbl 1524.35044 Ji, Cui-Cui; Dai, Weizhong; Mickens, Ronald E. 1 2023 Arbitrarily high-order accurate and energy-stable schemes for solving the conservative Allen-Cahn equation. Zbl 1533.65194 Guo, Feng; Dai, Weizhong 1 2023 Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model. Zbl 1531.65203 Weng, Zhifeng; Zhai, Shuying; Dai, Weizhong; Yang, Yanfang; Mo, Yuchang 5 2024 Numerical algorithm with fourth-order spatial accuracy for solving the time-fractional dual-phase-lagging nanoscale heat conduction equation. Zbl 07814766 Ji, Cui-Cui; Dai, Weizhong 2 2023 Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. Zbl 1502.65072 Shen, Shujun; Dai, Weizhong; Liu, Qingxia; Zhuang, Pinghui 2 2023 A new absorbing layer approach for solving the nonlinear Schrödinger equation. Zbl 07705792 Guo, Feng; Dai, Weizhong 1 2023 A fractional-order alternative for phase-lagging equation. Zbl 1524.35044 Ji, Cui-Cui; Dai, Weizhong; Mickens, Ronald E. 1 2023 Arbitrarily high-order accurate and energy-stable schemes for solving the conservative Allen-Cahn equation. Zbl 1533.65194 Guo, Feng; Dai, Weizhong 1 2023 A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain. Zbl 1486.65104 Guo, Feng; Dai, Weizhong 2 2022 A new artificial neural network method for solving Schrödinger equations on unbounded domains. Zbl 1498.65189 Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. 2 2022 Coupled and decoupled high-order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations. Zbl 1528.65047 He, Yuyu; Wang, Xiaofeng; Dai, Weizhong 2 2022 On the efficiency of 5(4) RK-embedded pairs with high order compact scheme and Robin boundary condition for options valuation. Zbl 1492.91429 Nwankwo, Chinonso; Dai, Weizhong 1 2022 A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Zbl 1459.76094 Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad 12 2021 Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Zbl 1481.65161 Wang, Xiaofeng; Dai, Weizhong; Yan, Yun 4 2021 An adaptive and explicit fourth order Runge-Kutta-Fehlberg method coupled with compact finite differencing for pricing American put options. Zbl 1483.91257 Nwankwo, Chinonso; Dai, Weizhong 1 2021 Gradient preserved method for solving heat conduction equation with variable coefficients in double layers. Zbl 1497.65117 Bora, Aniruddha; Dai, Weizhong 3 2020 A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation. Zbl 1463.65251 Wang, Xiaofeng; Dai, Weizhong 2 2020 Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction. Zbl 1435.65134 Shen, Shujun; Dai, Weizhong; Cheng, Jinfa 2 2020 Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating. Zbl 1434.65145 Zhai, Shuying; Huang, Langyang; Weng, Zhifeng; Dai, Weizhong 1 2020 A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D. Zbl 1432.65127 Wang, Xiaofeng; Dai, Weizhong 15 2019 Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film. Zbl 1434.65120 Ji, Cui-cui; Dai, Weizhong; Sun, Zhi-zhong 12 2019 A conservative linear difference scheme for the 2D regularized long-wave equation. Zbl 1429.65200 Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing 12 2019 Generalized multi-scale decision tables with multi-scale decision attributes. Zbl 1468.68236 Huang, Zhehuang; Li, Jinjin; Dai, Weizhong; Lin, Rongde 11 2019 Accurate gradient preserved method for solving heat conduction equations in double layers. Zbl 1429.80014 Yan, Yun; Dai, Weizhong; Wu, Longyuan; Zhai, Shuying 5 2019 A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. Zbl 1376.65116 Wang, Xiaofeng; Dai, Weizhong 34 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 10 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 9 2018 Higher-order fractional Green and Gauss formulas. Zbl 1390.26008 Cheng, Jinfa; Dai, Weizhong 1 2018 A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film. Zbl 1359.65161 Sun, Hong; Sun, Zhi-Zhong; Dai, Weizhong 10 2017 New approximations for solving the Caputo-type fractional partial differential equations. Zbl 1452.65176 Ren, Jincheng; Sun, Zhi-zhong; Dai, Weizhong 19 2016 A new compact finite difference scheme for solving the complex Ginzburg-Landau equation. Zbl 1410.65332 Yan, Yun; Moxley, Frederick Ira; Dai, Weizhong 14 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 12 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 11 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 8 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 6 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 6 2015 Novel 3D GPU based numerical parallel diffusion algorithms in cylindrical coordinates for health care simulation. Zbl 1519.92098 Jiang, Beini; Dai, Weizhong; Khaliq, Abdul; Carey, Michelle; Zhou, Xiaobo; Zhang, Le 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 9 2014 A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations. Zbl 1344.65083 Moxley, Frederick Ira; Chuss, David T.; Dai, Weizhong 10 2013 New higher-order compact finite difference schemes for 1D heat conduction equations. Zbl 1427.65163 Han, Fei; Dai, Weizhong 8 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 9 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 3 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 8 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 18 2009 A hyperbolic microscopic model and its numerical scheme for thermal analysis in an \(N\)-carrier system. Zbl 1158.80305 Dai, Weizhong 4 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. 28 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 18 2008 Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions. Zbl 1185.65157 Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang 15 2008 A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin film exposed to ultrashort-pulsed lasers with nonlinear interfacial conditions. Zbl 1157.80318 Dai, Weizhong; Niu, Tianchan 3 2008 A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers. Zbl 1142.80004 Zhang, Suyang; Dai, Weizhong; Wang, Haojie; Melnik, Roderick V. N. 2 2008 Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. Zbl 1132.65083 Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan 25 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 12 2006 A finite difference method for studying thermal deformation in a thin film exposed to ultrashort-pulsed lasers. Zbl 1189.74034 Wang, Haojie; Dai, Weizhong; Nassar, Raja; Melnik, Roderick 9 2006 A finite difference scheme for solving parabolic two-step micro-heat transport equations in a double-layered micro-sphere heated by ultrashort-pulsed lasers. Zbl 1109.65073 Dai, Weizhong; Li, Guang 6 2006 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation with a heat source. Zbl 1189.80030 Su, Shengjun; Dai, Weizhong 4 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. 14 2005 A stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers. Zbl 1072.65115 Kaba, Ibrahima K.; Dai, Weizhong 6 2005 On the stability of the FDTD method for solving a time-dependent Schrödinger equation. Zbl 1080.65082 Dai, Weizhong; Li, Guang; Nassar, Raja; Su, Shengjun 6 2005 Numerical simulation of nanopulse penetration of biological matter using the \(z\)-transform. Zbl 1108.78014 Su, S.; Dai, W.; Haynie, D. T.; Nassar, R.; Simicevic, N. 2 2005 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 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 9 2004 A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1052.80010 Dai, Weizhong; Shen, Lixin; Nassar, Raja; Zhu, Teng 6 2004 A nonstandard finite difference scheme for solving one dimensional nonlinear heat transfer. Zbl 1062.65082 Dai, Weizhong; Su, Shengjun 4 2004 A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates. Zbl 1047.65065 Dai, Weizhong; Shen, Lixin; Nassar, Raja 3 2004 A nonlinear finite difference scheme for solving the nonlinear parabolic two-step model. Zbl 1117.78328 Dai, Weizhong; Zhu, Teng 2 2004 Comparison of the solutions of a 1D dual-phase-lagging heat transport equation and its approximations. Zbl 1067.80003 Zhu, Teng; Dai, Weizhong; Shen, Lixin 1 2004 An unconditionally stable hybrid FE-FD scheme for solving a 3-D heat transport equation in a cylindrical thin film with sub-microscale thickness. Zbl 1042.65071 Dai, Weizhong; Nassar, Raja 2 2003 Compact ADI method for solving parabolic differential equations. Zbl 1004.65086 Dai, Weizhong; Nassar, Raja 32 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 17 2002 An approximate analytic method for solving 1D dual-phase-lagging heat transport equations. Zbl 0992.80015 Dai, Weizhong; Nassar, Raja 7 2002 A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale. Zbl 0988.65074 Dai, Weizhong; Nassar, Raja 20 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 7 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 35 2000 A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients. Zbl 0954.65068 Dai, Weizhong; Nassar, Raja 6 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 3 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 2 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 finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096 Dai, Weizhong; Nassar, Raja 38 1999 A domain decomposition method for solving thin film elliptic interface problems with variable coefficients. Zbl 1073.74640 Dai, Weizhong; Nassar, Raja 7 1999 A hybrid finite element-finite difference method for thermal analysis in \(X\)-ray litography. Zbl 0953.80002 Dai, W.; Nassar, R. 4 1999 A three-dimensional numerical method for thermal analysis in X-ray lithography. Zbl 0935.78017 Dai, W.; Nassar, R. 7 1998 A second-order ADI scheme for three-dimensional parabolic differential equations. Zbl 0903.65070 Dai, W.; Nassar, R. 5 1998 A generalized Douglas ADI method for solving three-dimensional parabolic differential equations on multilayers. Zbl 0958.65092 Dai, W.; Nassar, R. 6 1997 A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations. Zbl 0908.65075 Dai, Weizhong 4 1997 A new ADI scheme for solving three-dimensional parabolic differential equations. Zbl 0908.65076 Dai, Weizhong 4 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 24 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 4 1989 Linearized difference scheme for a kind of nonlinear parabolic equation. Zbl 0705.65064 Dai, Weizhong 1 1989 The general three level explicit difference schemes for solving parabolic equations with variable coefficients and mixed derivatives. Zbl 0663.65097 Dai, Weizhong; Chen, Chuandan 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 785 Authors 62 Dai, Weizhong 15 Mohanty, Ranjan Kumar 15 Wang, Xiaofeng 13 Deng, Dingwen 12 Nassar, Raja F. 12 Straughan, Brian 10 Sun, Zhizhong 9 Wongsaijai, Ben 8 Ji, Cuicui 8 Poochinapan, Kanyuta 8 Zhang, Zhiyue 7 Ge, Yongbin 7 Majchrzak, Ewa 6 Cheng, Hong 6 Dehghan Takht Fooladi, Mehdi 6 Deka, Bhupen 6 Lesnic, Daniel 6 Quintanilla de Latorre, Ramón 6 Zhang, Jun 5 Alosaimi, Moataz 5 Fu, Hongfei 5 Jiang, Chaolong 5 Jordan, Pedro M. 5 Li, Shuguang 5 Xie, Shusen 5 Zhang, Chengjian 5 Zhang, Luming 5 Zheng, Xiangcheng 4 Bhal, Santosh Kumar 4 Ciarletta, Michele 4 Dutta, Jogen 4 Kaur, Deepti 4 Liang, Dong 4 Liu, Li-Bin 4 Mickens, Ronald Elbert 4 Momoniat, Ebrahim 4 Moxley, Frederick Ira III. 4 Omrani, Khaled 4 Turchan, Łukasz 4 Wang, Hong 4 Wang, Tingchun 4 Wang, Yushun 4 Xie, Jianqiang 4 Yan, Yun 4 Zampoli, Vittorio 3 Băleanu, Dumitru I. 3 Cai, Wenjun 3 Eltayeb, Ibrahim A. 3 Guo, Feng 3 Kumar, Naresh 3 Li, Jinhai 3 Malek, Alaeddin 3 Martín, José Antonio 3 Mouktonglang, Thanasak 3 Qin, Jinggang 3 Rodríguez Mateos, Francisco 3 Tian, Zhenfu 3 Wang, Yuanming 3 Wilson, Joshua P. 3 Xu, Da 3 Zhang, Le 3 Zhang, Xiaohua 3 Zhao, Jennifer Jing 2 Abbaszadeh, Mostafa 2 Ahmadian, Ali 2 Ahmat, Muyassar 2 Ang, Whyeteong 2 Arjunan, Mani Mallika 2 Avazzadeh, Zakieh 2 Bazarra, Noelia 2 Bhatt, Harish P. 2 Bora, Aniruddha 2 Byrnes, Tim 2 Charoensawan, Phakdi 2 Chaudhary, Sudhakar 2 Chen, Changkai 2 Chen, Chuanmiao 2 Cheng, Jinfa 2 Christov, Christo Ivanov 2 Cui, Jin 2 Dai, Ruxin 2 Danumjaya, Palla 2 Decleer, Pieter 2 Du, Rui 2 Fairweather, Graeme 2 Fernández, Jose Ramon 2 Ghazanfarian, Jafar 2 Ghosh, Bishnu Pada 2 Guo, Shuangbing 2 Han, Fei 2 Harley, Charis 2 He, Xuefei 2 Heydari, Mohammad Hossein 2 Hosseini, Mostafa 2 Hu, Hongling 2 Huang, Langyang 2 Hughes, David Wynne 2 Jha, Navnit 2 Jiang, Beini 2 Khaliq, Abdul Qayyum Masud ...and 685 more Authors all top 5 Cited in 125 Serials 32 Numerical Methods for Partial Differential Equations 30 Applied Mathematics and Computation 29 Journal of Computational and Applied Mathematics 28 Applied Numerical Mathematics 23 Computers & Mathematics with Applications 19 International Journal of Computer Mathematics 15 Computer Physics Communications 13 Mathematical Methods in the Applied Sciences 12 International Journal of Heat and Mass Transfer 12 Mathematics and Computers in Simulation 12 Applied Mathematical Modelling 12 Communications in Nonlinear Science and Numerical Simulation 10 Applied Mathematics Letters 10 Computational and Applied Mathematics 9 International Journal of Numerical Methods for Heat & Fluid Flow 8 Journal of Computational Physics 8 Advances in Difference Equations 7 Journal of Difference Equations and Applications 6 Mechanics Research Communications 6 International Journal of Approximate Reasoning 6 Numerical Algorithms 6 Engineering Analysis with Boundary Elements 5 Applicable Analysis 5 Journal of Scientific Computing 4 Information Sciences 4 Mathematical Problems in Engineering 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 International Journal for Numerical Methods in Engineering 3 Journal of Mathematical Chemistry 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 International Journal of Computational Methods 3 Boundary Value Problems 3 International Journal for Computational Methods in Engineering Science and Mechanics 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 Physics Letters. A 2 Wave Motion 2 Ricerche di Matematica 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 Complexity 2 Differential Equations and Dynamical Systems 2 European Journal of Mechanics. B. Fluids 2 Journal of Applied Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Inverse Problems in Science and Engineering 2 Chinese Journal of Physics (Taipei) 2 Numerical Mathematics: Theory, Methods and Applications 2 Advances in Numerical Analysis 2 Science China. Mathematics 2 International Journal for Numerical Methods in Biomedical Engineering 2 Mathematical Sciences 2 Molecular Based Mathematical Biology 2 Journal of Function Spaces 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 2 Results in Applied Mathematics 1 Archives of Mechanics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Engineering Science 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 BIT 1 Fuzzy Sets and Systems 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Semigroup Forum 1 Mathematica Numerica Sinica 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Partial Differential Equations 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Journal of Computational Neuroscience 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 New Journal of Physics 1 European Journal of Mechanics. A. Solids 1 Journal of Mathematical Study 1 Engineering Computations 1 Nonlinear Analysis. Real World Applications 1 Computational Methods in Applied Mathematics ...and 25 more Serials all top 5 Cited in 30 Fields 362 Numerical analysis (65-XX) 281 Partial differential equations (35-XX) 87 Classical thermodynamics, heat transfer (80-XX) 52 Fluid mechanics (76-XX) 22 Optics, electromagnetic theory (78-XX) 21 Mechanics of deformable solids (74-XX) 20 Biology and other natural sciences (92-XX) 16 Real functions (26-XX) 16 Ordinary differential equations (34-XX) 12 Computer science (68-XX) 11 Approximations and expansions (41-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 Operator theory (47-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year