Edit Profile (opens in new tab) Lin, Ping Co-Author Distance Author ID: lin.ping Published as: Lin, Ping; Lin, P. Homepage: https://www.dundee.ac.uk/people/ping-lin External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 120 Publications since 1986, including 6 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 106 Co-Authors with 110 Joint Publications 4,043 Co-Co-Authors all top 5 Co-Authors 11 single-authored 12 Tan, Roger C. E. 9 Duan, Huoyuan 8 Guo, Zhenlin 6 Wang, Yangfan 6 Zheng, Liancun 5 Liao, Mingjie 5 Shapeev, Alexander V. 5 Su, Yucheng 5 Wang, Zhaoyang 4 Ascher, Uri M. 4 Li, Lin 4 Liu, Chun 4 Liu, Chunyan 4 Lowengrub, John Samuel 4 Shen, Lingyue 4 Tai, Xuecheng 4 Xu, Shixin 4 Zhao, Weifeng 3 Abdulle, Assyr 3 Gao, Fuzheng 3 Guo, Hongxia 3 Hua, Jinsong 3 Huang, Huaxiong 3 Li, Na 3 Li, Zhilin 3 Liang, Kewei 3 Liu, Fawang 3 Lu, Xiliang 3 Pan, Mingyang 3 Si, Xinhui 3 Wang, Linshan 3 Wei, Tengda 3 Xu, Zhiliang 3 Zhang, Lei 2 Celiker, Emine 2 Chaplain, Mark A. J. 2 Chen, Xianqiao 2 Jiang, Yongyue 2 Khoo, Boo Cheong 2 Li, Botong 2 Liu, Jianguo 2 Ong, Ming Tze 2 Saikrishnan, Ponnaiah 2 Singh, Swarn 2 Stene, Jan F. 2 Trucu, Dumitru 2 Vulanović, Relja 2 Wise, Steven M. 1 Arora, Rajni 1 Cao, Jiwei 1 Chen, Goong 1 Chen, Guo 1 Chen, Jialing 1 Cheng, Qing 1 Chow, Shuinee 1 Christiansen, Oddvar 1 Dong, Shuangling 1 Fan, Yu 1 Farrell, Paul A. 1 Feng, Youyi 1 Ghaffari, Abuzar 1 Glowinski, Roland 1 Gui, Changfeng 1 Guo, Chang 1 Guo, Qingping 1 Ji, Guangrong 1 Jia, Feng 1 Koufoudaki, Eirini 1 Li, Xinyu 1 Li, Xun 1 Liu, Gui-Rong 1 Miller, John James Henry 1 Mossey, Peter A. 1 Mustafa, Irfan 1 O’Malley, Robert E. jun. 1 Pan, Xingbin 1 Peng, Lu 1 Reid, Gregory John 1 Richter, Thomas 1 Shi, Huandi 1 Shi, Shaoyun 1 Shishkin, Grigoriĭ Ivanovich 1 Shu, Chi-Wang 1 Singh, Suruchi 1 SkjÆlaaen, Inge 1 Song, Zilong 1 Spiteri, Raymond J. 1 Sun, Yanxiao 1 Thompson, Alastair M. 1 Wang, Erhui 1 Wang, Fen 1 Wang, Hao 1 Wang, Qi 1 Wang, Zhaohui 1 Wittkopf, Allan D. 1 Woodsend, Brénainn 1 Xiao, Baichun 1 Xie, Xinyuan 1 Xu, Huanxia 1 Yang, Daoqi ...and 9 more Co-Authors all top 5 Serials 10 Journal of Computational Physics 10 SIAM Journal on Numerical Analysis 10 SIAM Journal on Scientific Computing 6 Applied Mathematics and Mechanics. (English Edition) 6 Communications in Computational Physics 6 Numerical Mathematics: Theory, Methods and Applications 5 Applied Mathematics Letters 4 Journal of Computational and Applied Mathematics 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Applied Mathematics and Computation 3 Numerische Mathematik 3 Journal of Nanjing University. Mathematical Biquarterly 2 Journal of Fluid Mechanics 2 Mathematics of Computation 2 Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Multiscale Modeling & Simulation 1 Computer Physics Communications 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Computing 1 Studies in Applied Mathematics 1 Physica D 1 Applied Numerical Mathematics 1 Neural Networks 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 International Journal of Computer Vision 1 Advances in Computational Mathematics 1 Taiwanese Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 International Journal of Numerical Analysis and Modeling 1 Contemporary Mathematics 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 1 Inverse Problems and Imaging 1 AMM. Applied Mathematics and Mechanics. (English Edition) all top 5 Fields 80 Numerical analysis (65-XX) 51 Fluid mechanics (76-XX) 40 Partial differential equations (35-XX) 16 Ordinary differential equations (34-XX) 13 Statistical mechanics, structure of matter (82-XX) 10 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 7 Optics, electromagnetic theory (78-XX) 7 Information and communication theory, circuits (94-XX) 5 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 935 times in 673 Documents Cited by ▼ Year ▼ Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method. Zbl 1329.76262 Hua, Jinsong; Stene, Jan F.; Lin, Ping 60 2008 A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law. Zbl 1349.76057 Guo, Z.; Lin, P.; Lowengrub, J. S. 54 2014 Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes. Zbl 1439.76121 Guo, Z.; Lin, P.; Lowengrub, J.; Wise, S. M. 49 2017 Numerical analysis of Biot’s consolidation process by radial point interpolation method. Zbl 1061.74014 Wang, J. G.; Liu, G. R.; Lin, P. 42 2002 An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics. Zbl 1133.65077 Lin, Ping; Liu, Chun; Zhang, Hui 40 2007 Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations. Zbl 1408.76550 Hua, Jinsong; Lin, Ping; Liu, Chun; Wang, Qi 35 2011 Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach. Zbl 1101.82039 Lin, Ping; Liu, Chun 32 2006 A sequential regularization method for time-dependent incompressible Navier-Stokes equations. Zbl 0882.76018 Lin, Ping 32 1997 A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow. Zbl 1241.76324 Chen, Guo; Li, Zhilin; Lin, Ping 30 2008 A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. Zbl 1337.76023 Guo, Z.; Lin, P. 28 2015 A multiscale mathematical model of tumour invasive growth. Zbl 1373.92065 Peng, Lu; Trucu, Dumitru; Lin, Ping; Thompson, Alastair; Chaplain, Mark A. J. 26 2017 Convergence analysis of a quasi-continuum approximation for a two-dimensional material without defects. Zbl 1220.74010 Lin, Ping 26 2007 A multiscale moving boundary model arising in cancer invasion. Zbl 1302.35379 Trucu, Dumitru; Lin, Ping; Chaplain, Mark A. J.; Wang, Yangfan 25 2013 Sequential regularization methods for higher index DAEs with constraint singularities: The linear index-2 case. Zbl 0858.65063 Ascher, Uri M.; Lin, Ping 23 1996 Solving degenerate reaction-diffusion equations via variable step Peaceman-Rachford splitting. Zbl 1061.65086 Cheng, H.; Lin, P.; Sheng, Q.; Tan, R. C. E. 22 2003 Stability of stochastic impulsive reaction-diffusion neural networks with S-type distributed delays and its application to image encryption. Zbl 1441.93332 Wei, Tengda; Lin, Ping; Wang, Yangfan; Wang, Linshan 21 2019 The local \(L^2\) projected \(C^0\) finite element method for Maxwell problem. Zbl 1207.65137 Duan, Huo-Yuan; Jia, Feng; Lin, Ping; Tan, Roger C. E. 20 2009 Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model. Zbl 1010.74003 Lin, Ping 19 2003 Sequential regularization methods for nonlinear higher-index DAEs. Zbl 0949.65084 Ascher, Uri; Lin, Ping 17 1997 Image segmentation using some piecewise constant level set methods with MBO type of projection. Zbl 1477.68521 Tai, Xue-Cheng; Christiansen, Oddvar; Lin, Ping; SkjÆlaaen, Inge 16 2007 Differential elimination-completion algorithms for DAE and PDAE. Zbl 1152.65458 Reid, Gregory J.; Lin, Ping; Wittkopf, Allan D. 15 2001 An expanded mixed finite element method for two-dimensional Sobolev equations. Zbl 1412.65221 Li, Na; Lin, Ping; Gao, Fuzheng 13 2019 A diffuse domain method for two-phase flows with large density ratio in complex geometries. Zbl 1461.76447 Guo, Zhenlin; Yu, Fei; Lin, Ping; Wise, Steven; Lowengrub, John 13 2021 Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem. Zbl 1268.65151 Duan, Huoyuan; Lin, Ping; Tan, Roger C. E. 12 2013 Error estimates for a vectorial second-order elliptic eigenproblem by the local \(L^2\) projected \(C^0\) finite element method. Zbl 1281.65141 Duan, Huo-Yuan; Lin, Ping; Tan, Roger C. E. 11 2013 Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. Zbl 1239.93081 Wang, Yangfan; Lin, Ping; Wang, Linshan 11 2012 Continuous finite element schemes for a phase field model in two-layer fluid Bénard-Marangoni convection computations. Zbl 1344.76053 Guo, Zhenlin; Lin, Ping; Wang, Yangfan 10 2014 A splitting moving mesh method for reaction-diffusion equations of quenching type. Zbl 1098.65090 Liang, Kewei; Lin, Ping; Ong, Ming Tze; Tan, Roger C. E. 10 2006 \(C ^{0}\) elements for generalized indefinite Maxwell equations. Zbl 1250.78037 Duan, Huoyuan; Lin, Ping; Tan, Roger C. E. 9 2012 Error estimate of the \(P_1\) nonconforming finite element method for the penalized unsteady Navier-Stokes equations. Zbl 1425.65131 Lu, Xiliang; Lin, Ping 9 2010 A least-squares finite element method for the magnetostatic problem in a multiply connected Lipschitz domain. Zbl 1153.78005 Duan, Huo-Yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E. 9 2007 Numerical solution of quenching problems using mesh-dependent variable temporal steps. Zbl 1113.76064 Liang, K. W.; Lin, P.; Tan, R. C. E. 9 2007 Analysis of a sequential regularization method for the unsteady Navier-Stokes equations. Zbl 1285.76018 Lu, Xiliang; Lin, Ping; Liu, Jian-Guo 9 2008 A finite element method for a curlcurl-graddiv eigenvalue interface problem. Zbl 1337.65144 Duan, Huoyuan; Lin, Ping; Tan, Roger C. E. 8 2016 Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes. Zbl 1452.65291 Zhang, Mengxin; Zhao, Weifeng; Lin, Ping 8 2019 An asymptotic Fitting finite element method with exponential mesh refinement for accurate computation of corner eddies in viscous flows. Zbl 1188.76197 Shapeev, Alexander V.; Lin, Ping 8 2009 Numerical solution of quasilinear attractive turning point problems. Zbl 0773.65063 Vulanović, Relja; Lin, Ping 7 1992 A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall. Zbl 1354.35106 Li, Lin; Lin, Ping; Si, Xinhui; Zheng, Liancun 6 2017 A numerical method for quasilinear singular perturbation problems with turning points. Zbl 0737.65069 Lin, P. 6 1991 Moisture transport and diffusive instability during bread baking. Zbl 1388.76205 Huang, H.; Lin, P.; Zhou, W. 6 2007 An efficient operator-splitting method for noise removal in images. Zbl 1137.94308 Krishnan, D.; Lin, P.; Tai, X.-C. 6 2006 A posteriori error estimation and adaptive algorithm for atomistic/continuum coupling in two dimensions. Zbl 1395.65125 Wang, Hao; Liao, Mingjie; Lin, Ping; Zhang, Lei 5 2018 Numerical simulation for moving contact line with continuous finite element schemes. Zbl 1373.76092 Jiang, Yongyue; Lin, Ping; Guo, Zhenlin; Dong, Shuangling 5 2015 An iterative perturbation method for the pressure equation in the simulation of miscible displacement in porous media. Zbl 0914.76085 Lin, Ping; Yang, Daoqi 5 1998 Numerical solution of quasilinear singularly perturbed ordinary differential equation without turning points. Zbl 0735.34041 Lin, Ping; Su, Yucheng 5 1989 A priori and a posteriori \(W^{1,\infty}\) error analysis of a QC method for complex lattices. Zbl 1279.65126 Abdulle, Assyr; Lin, Ping; Shapeev, Alexander V. 5 2013 An energy stable \(C^0\) finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density. Zbl 1453.65343 Shen, Lingyue; Huang, Huaxiong; Lin, Ping; Song, Zilong; Xu, Shixin 5 2020 Numerical methods for multilattices. Zbl 1255.74025 Abdulle, Assyr; Lin, Ping; Shapeev, Alexander V. 5 2012 Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium. Zbl 1443.76243 Liu, Chunyan; Zheng, Liancun; Pan, Mingyang; Lin, Ping; Liu, Fawang 5 2019 Numerical simulation of gas bubbles rising in viscous liquids at high Reynolds number. Zbl 1306.76029 Hua, Jinsong; Lin, Ping; Stene, Jan F. 4 2008 Numerical solution of a virtual internal bond model for material fracture. Zbl 1098.74525 Lin, Ping; Shu, Chiwang 4 2002 Numerical solution of nonlinear singular perturbation problems modelling chemical reactions. Zbl 0786.65068 Vulanović, R.; Farrell, Paul A.; Lin, P. 4 1993 \(L^{2}\)-projected least-squares finite element methods for the Stokes equations. Zbl 1118.65119 Duan, Huo-yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E. 4 2006 Finite element methods based on a new formulation for the non-stationary incompressible Navier-Stokes equations. Zbl 1069.76032 Lin, Ping; Chen, Xianqiao; Ong, Ming Tze 4 2004 Uniform difference scheme for a singularly perturbed linear 2nd order hyperbolic problem with zeroth order reduced equation. Zbl 0803.65090 Su, Yucheng; Lin, Ping 4 1990 A posteriori error estimate and adaptive mesh refinement algorithm for atomistic/continuum coupling with finite range interactions in two dimensions. Zbl 1473.65267 Liao, Mingjie; Lin, Ping; Zhang, Lei 4 2020 Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation. Zbl 1404.65124 Lin, Ping; Liu, Jian-Guo; Lu, Xiliang 4 2008 An energy stable \(C^0\) Finite element scheme for a phase-field model of vesicle motion and deformation. Zbl 07459363 Shen, Lingyue; Xu, Zhiliang; Lin, Ping; Huang, Huaxiong; Xu, Shixin 4 2022 A predicted sequential regularization method for index-2 Hessenberg DAEs. Zbl 1020.65042 Lin, Ping; Spiteri, Raymond J. 3 2002 A highly-accurate finite element method with exponentially compressed meshes for the solution of the Dirichlet problem of the generalized Helmholtz equation with corner singularities. Zbl 1418.65166 Celiker, Emine; Lin, Ping 3 2019 Interface problems and methods in biological and physical flows. Papers based on the presentations at the workshop moving interface problems and applications in fluid dynamics, January 8–March 31, 2007, Singapore. Zbl 1167.76001 3 2009 Anomalous diffusion in rotating Casson fluid through a porous medium. Zbl 07568484 Liu, Chunyan; Zheng, Liancun; Lin, Ping; Pan, Mingyang; Liu, Fawang 3 2019 An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals. Zbl 1147.82361 Lin, Ping; Richter, Thomas 3 2007 Numerical solution of singular perturbation problem for hyperbolic differential equation with characteristic boundaries. Zbl 0685.65090 Su, Yucheng; Lin, Ping 2 1988 Unconditionally stable modified methods for the solution of two- and three-dimensional telegraphic equation with Robin boundary conditions. Zbl 1419.65031 Singh, Swarn; Singh, Suruchi; Lin, Ping; Arora, Rajni 2 2019 A class of variational difference schemes for a singular perturbation problem. Zbl 0732.65075 Lin, Ping 2 1989 A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314 Glowinski, Roland; Lin, Ping; Pan, Xing-Bin 2 2009 Numerical investigation of a fractional diffusion model on circular comb-inward structure. Zbl 1425.82019 Liu, Chunyan; Fan, Yu; Lin, Ping 2 2020 Energy law preserving finite element scheme for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1474.76039 Li, Na; Lin, Ping; Gao, Fuzheng 2 2019 Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density. Zbl 07516811 Guo, Zhenlin; Cheng, Qing; Lin, Ping; Liu, Chun; Lowengrub, John 2 2022 High order variable mesh off-step discretization for the solution of 1-D non-linear hyperbolic equation. Zbl 1410.65328 Singh, Swarn; Lin, Ping 1 2014 Learning non-negativity constrained variation for image denoising and deblurring. Zbl 1399.35013 Wei, Tengda; Wang, Linshan; Lin, Ping; Chen, Jialing; Wang, Yangfan; Zheng, Haiyong 1 2017 A stochastic model for thermal transport of nanofluid in porous media: derivation and applications. Zbl 1409.76142 Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang; Lin, Ping; Chen, Goong 1 2018 Perturbation solutions for asymmetric laminar flow in porous channel with expanding and contracting walls. Zbl 1283.76073 Zhang, Yan; Lin, Ping; Si, Xin-hui 1 2014 A note on a mildly nonlinear turning point problem. Zbl 0779.34050 Lin, Ping 1 1993 A splitting moving mesh method for 3D quenching and blow-up problems. Zbl 1098.65089 Liang, Kewei; Lin, Ping 1 2005 Numerical solution of the singularly perturbed problem for the hyperbolic equation with initial jump. Zbl 0803.65091 Su, Yucheng; Lin, Ping 1 1990 An exponentially fitted difference scheme for the hyperbolic-hyperbolic singularly perturbed initial-boundary value problem. Zbl 0756.65114 Su, Yucheng; Lin, Ping 1 1991 A uniformly convergent difference scheme for a semilinear turning point problem. Zbl 0756.65109 Lin, Ping 1 1991 On the collision matrix of the lattice Boltzmann method for anisotropic convection-diffusion equations. Zbl 1433.76123 Guo, Chang; Zhao, Weifeng; Lin, Ping 1 2020 Asymptotic solutions for the asymmetric flow in a channel with porous retractable walls under a transverse magnetic field. Zbl 1396.76075 Guo, Hongxia; Lin, Ping; Li, Lin 1 2018 Modeling multiple anomalous diffusion behaviors on comb-like structures. Zbl 1485.60086 Wang, Zhaoyang; Lin, Ping; Wang, Erhui 1 2021 A fast front-tracking approach and its analysis for a temporal multiscale flow problem with a fractional order boundary growth. Zbl 1527.76057 Wang, Zhaoyang; Lin, Ping; Zhang, Lei 1 2023 Instability of impulsive stochastic systems with application to image encryption. Zbl 1510.93359 Wei, Tengda; Lin, Ping; Zhu, Quanxin; Yao, Qi 1 2021 Temporal stability analysis for multiple similarity solutions of viscous incompressible flows in porous channels with moving walls. Zbl 1443.76124 Sun, Yanxiao; Lin, Ping; Li, Lin 1 2020 Moving interface problems and applications in fluid dynamics. Program on moving interface problems and applications in fluid dynamics, Singapore, January 8 – March 31, 2007. Selected papers. Zbl 1145.76004 1 2008 The numerical solution of a challenging class of turning point problems. Zbl 1147.34346 Lin, Ping; O’Malley, R. E. jun. 1 2003 Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities. Zbl 1457.76162 Guo, Hongxia; Gui, Changfeng; Lin, Ping; Zhao, Mingfeng 1 2020 A fast front-tracking approach and its analysis for a temporal multiscale flow problem with a fractional order boundary growth. Zbl 1527.76057 Wang, Zhaoyang; Lin, Ping; Zhang, Lei 1 2023 An energy stable \(C^0\) Finite element scheme for a phase-field model of vesicle motion and deformation. Zbl 07459363 Shen, Lingyue; Xu, Zhiliang; Lin, Ping; Huang, Huaxiong; Xu, Shixin 4 2022 Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density. Zbl 07516811 Guo, Zhenlin; Cheng, Qing; Lin, Ping; Liu, Chun; Lowengrub, John 2 2022 A diffuse domain method for two-phase flows with large density ratio in complex geometries. Zbl 1461.76447 Guo, Zhenlin; Yu, Fei; Lin, Ping; Wise, Steven; Lowengrub, John 13 2021 Modeling multiple anomalous diffusion behaviors on comb-like structures. Zbl 1485.60086 Wang, Zhaoyang; Lin, Ping; Wang, Erhui 1 2021 Instability of impulsive stochastic systems with application to image encryption. Zbl 1510.93359 Wei, Tengda; Lin, Ping; Zhu, Quanxin; Yao, Qi 1 2021 An energy stable \(C^0\) finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density. Zbl 1453.65343 Shen, Lingyue; Huang, Huaxiong; Lin, Ping; Song, Zilong; Xu, Shixin 5 2020 A posteriori error estimate and adaptive mesh refinement algorithm for atomistic/continuum coupling with finite range interactions in two dimensions. Zbl 1473.65267 Liao, Mingjie; Lin, Ping; Zhang, Lei 4 2020 Numerical investigation of a fractional diffusion model on circular comb-inward structure. Zbl 1425.82019 Liu, Chunyan; Fan, Yu; Lin, Ping 2 2020 On the collision matrix of the lattice Boltzmann method for anisotropic convection-diffusion equations. Zbl 1433.76123 Guo, Chang; Zhao, Weifeng; Lin, Ping 1 2020 Temporal stability analysis for multiple similarity solutions of viscous incompressible flows in porous channels with moving walls. Zbl 1443.76124 Sun, Yanxiao; Lin, Ping; Li, Lin 1 2020 Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities. Zbl 1457.76162 Guo, Hongxia; Gui, Changfeng; Lin, Ping; Zhao, Mingfeng 1 2020 Stability of stochastic impulsive reaction-diffusion neural networks with S-type distributed delays and its application to image encryption. Zbl 1441.93332 Wei, Tengda; Lin, Ping; Wang, Yangfan; Wang, Linshan 21 2019 An expanded mixed finite element method for two-dimensional Sobolev equations. Zbl 1412.65221 Li, Na; Lin, Ping; Gao, Fuzheng 13 2019 Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes. Zbl 1452.65291 Zhang, Mengxin; Zhao, Weifeng; Lin, Ping 8 2019 Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium. Zbl 1443.76243 Liu, Chunyan; Zheng, Liancun; Pan, Mingyang; Lin, Ping; Liu, Fawang 5 2019 A highly-accurate finite element method with exponentially compressed meshes for the solution of the Dirichlet problem of the generalized Helmholtz equation with corner singularities. Zbl 1418.65166 Celiker, Emine; Lin, Ping 3 2019 Anomalous diffusion in rotating Casson fluid through a porous medium. Zbl 07568484 Liu, Chunyan; Zheng, Liancun; Lin, Ping; Pan, Mingyang; Liu, Fawang 3 2019 Unconditionally stable modified methods for the solution of two- and three-dimensional telegraphic equation with Robin boundary conditions. Zbl 1419.65031 Singh, Swarn; Singh, Suruchi; Lin, Ping; Arora, Rajni 2 2019 Energy law preserving finite element scheme for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1474.76039 Li, Na; Lin, Ping; Gao, Fuzheng 2 2019 A posteriori error estimation and adaptive algorithm for atomistic/continuum coupling in two dimensions. Zbl 1395.65125 Wang, Hao; Liao, Mingjie; Lin, Ping; Zhang, Lei 5 2018 A stochastic model for thermal transport of nanofluid in porous media: derivation and applications. Zbl 1409.76142 Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang; Lin, Ping; Chen, Goong 1 2018 Asymptotic solutions for the asymmetric flow in a channel with porous retractable walls under a transverse magnetic field. Zbl 1396.76075 Guo, Hongxia; Lin, Ping; Li, Lin 1 2018 Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes. Zbl 1439.76121 Guo, Z.; Lin, P.; Lowengrub, J.; Wise, S. M. 49 2017 A multiscale mathematical model of tumour invasive growth. Zbl 1373.92065 Peng, Lu; Trucu, Dumitru; Lin, Ping; Thompson, Alastair; Chaplain, Mark A. J. 26 2017 A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall. Zbl 1354.35106 Li, Lin; Lin, Ping; Si, Xinhui; Zheng, Liancun 6 2017 Learning non-negativity constrained variation for image denoising and deblurring. Zbl 1399.35013 Wei, Tengda; Wang, Linshan; Lin, Ping; Chen, Jialing; Wang, Yangfan; Zheng, Haiyong 1 2017 A finite element method for a curlcurl-graddiv eigenvalue interface problem. Zbl 1337.65144 Duan, Huoyuan; Lin, Ping; Tan, Roger C. E. 8 2016 A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. Zbl 1337.76023 Guo, Z.; Lin, P. 28 2015 Numerical simulation for moving contact line with continuous finite element schemes. Zbl 1373.76092 Jiang, Yongyue; Lin, Ping; Guo, Zhenlin; Dong, Shuangling 5 2015 A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law. Zbl 1349.76057 Guo, Z.; Lin, P.; Lowengrub, J. S. 54 2014 Continuous finite element schemes for a phase field model in two-layer fluid Bénard-Marangoni convection computations. Zbl 1344.76053 Guo, Zhenlin; Lin, Ping; Wang, Yangfan 10 2014 High order variable mesh off-step discretization for the solution of 1-D non-linear hyperbolic equation. Zbl 1410.65328 Singh, Swarn; Lin, Ping 1 2014 Perturbation solutions for asymmetric laminar flow in porous channel with expanding and contracting walls. Zbl 1283.76073 Zhang, Yan; Lin, Ping; Si, Xin-hui 1 2014 A multiscale moving boundary model arising in cancer invasion. Zbl 1302.35379 Trucu, Dumitru; Lin, Ping; Chaplain, Mark A. J.; Wang, Yangfan 25 2013 Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem. Zbl 1268.65151 Duan, Huoyuan; Lin, Ping; Tan, Roger C. E. 12 2013 Error estimates for a vectorial second-order elliptic eigenproblem by the local \(L^2\) projected \(C^0\) finite element method. Zbl 1281.65141 Duan, Huo-Yuan; Lin, Ping; Tan, Roger C. E. 11 2013 A priori and a posteriori \(W^{1,\infty}\) error analysis of a QC method for complex lattices. Zbl 1279.65126 Abdulle, Assyr; Lin, Ping; Shapeev, Alexander V. 5 2013 Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. Zbl 1239.93081 Wang, Yangfan; Lin, Ping; Wang, Linshan 11 2012 \(C ^{0}\) elements for generalized indefinite Maxwell equations. Zbl 1250.78037 Duan, Huoyuan; Lin, Ping; Tan, Roger C. E. 9 2012 Numerical methods for multilattices. Zbl 1255.74025 Abdulle, Assyr; Lin, Ping; Shapeev, Alexander V. 5 2012 Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations. Zbl 1408.76550 Hua, Jinsong; Lin, Ping; Liu, Chun; Wang, Qi 35 2011 Error estimate of the \(P_1\) nonconforming finite element method for the penalized unsteady Navier-Stokes equations. Zbl 1425.65131 Lu, Xiliang; Lin, Ping 9 2010 The local \(L^2\) projected \(C^0\) finite element method for Maxwell problem. Zbl 1207.65137 Duan, Huo-Yuan; Jia, Feng; Lin, Ping; Tan, Roger C. E. 20 2009 An asymptotic Fitting finite element method with exponential mesh refinement for accurate computation of corner eddies in viscous flows. Zbl 1188.76197 Shapeev, Alexander V.; Lin, Ping 8 2009 Interface problems and methods in biological and physical flows. Papers based on the presentations at the workshop moving interface problems and applications in fluid dynamics, January 8–March 31, 2007, Singapore. Zbl 1167.76001 3 2009 A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314 Glowinski, Roland; Lin, Ping; Pan, Xing-Bin 2 2009 Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method. Zbl 1329.76262 Hua, Jinsong; Stene, Jan F.; Lin, Ping 60 2008 A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow. Zbl 1241.76324 Chen, Guo; Li, Zhilin; Lin, Ping 30 2008 Analysis of a sequential regularization method for the unsteady Navier-Stokes equations. Zbl 1285.76018 Lu, Xiliang; Lin, Ping; Liu, Jian-Guo 9 2008 Numerical simulation of gas bubbles rising in viscous liquids at high Reynolds number. Zbl 1306.76029 Hua, Jinsong; Lin, Ping; Stene, Jan F. 4 2008 Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation. Zbl 1404.65124 Lin, Ping; Liu, Jian-Guo; Lu, Xiliang 4 2008 Moving interface problems and applications in fluid dynamics. Program on moving interface problems and applications in fluid dynamics, Singapore, January 8 – March 31, 2007. Selected papers. Zbl 1145.76004 1 2008 An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics. Zbl 1133.65077 Lin, Ping; Liu, Chun; Zhang, Hui 40 2007 Convergence analysis of a quasi-continuum approximation for a two-dimensional material without defects. Zbl 1220.74010 Lin, Ping 26 2007 Image segmentation using some piecewise constant level set methods with MBO type of projection. Zbl 1477.68521 Tai, Xue-Cheng; Christiansen, Oddvar; Lin, Ping; SkjÆlaaen, Inge 16 2007 A least-squares finite element method for the magnetostatic problem in a multiply connected Lipschitz domain. Zbl 1153.78005 Duan, Huo-Yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E. 9 2007 Numerical solution of quenching problems using mesh-dependent variable temporal steps. Zbl 1113.76064 Liang, K. W.; Lin, P.; Tan, R. C. E. 9 2007 Moisture transport and diffusive instability during bread baking. Zbl 1388.76205 Huang, H.; Lin, P.; Zhou, W. 6 2007 An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals. Zbl 1147.82361 Lin, Ping; Richter, Thomas 3 2007 Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach. Zbl 1101.82039 Lin, Ping; Liu, Chun 32 2006 A splitting moving mesh method for reaction-diffusion equations of quenching type. Zbl 1098.65090 Liang, Kewei; Lin, Ping; Ong, Ming Tze; Tan, Roger C. E. 10 2006 An efficient operator-splitting method for noise removal in images. Zbl 1137.94308 Krishnan, D.; Lin, P.; Tai, X.-C. 6 2006 \(L^{2}\)-projected least-squares finite element methods for the Stokes equations. Zbl 1118.65119 Duan, Huo-yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E. 4 2006 A splitting moving mesh method for 3D quenching and blow-up problems. Zbl 1098.65089 Liang, Kewei; Lin, Ping 1 2005 Finite element methods based on a new formulation for the non-stationary incompressible Navier-Stokes equations. Zbl 1069.76032 Lin, Ping; Chen, Xianqiao; Ong, Ming Tze 4 2004 Solving degenerate reaction-diffusion equations via variable step Peaceman-Rachford splitting. Zbl 1061.65086 Cheng, H.; Lin, P.; Sheng, Q.; Tan, R. C. E. 22 2003 Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model. Zbl 1010.74003 Lin, Ping 19 2003 The numerical solution of a challenging class of turning point problems. Zbl 1147.34346 Lin, Ping; O’Malley, R. E. jun. 1 2003 Numerical analysis of Biot’s consolidation process by radial point interpolation method. Zbl 1061.74014 Wang, J. G.; Liu, G. R.; Lin, P. 42 2002 Numerical solution of a virtual internal bond model for material fracture. Zbl 1098.74525 Lin, Ping; Shu, Chiwang 4 2002 A predicted sequential regularization method for index-2 Hessenberg DAEs. Zbl 1020.65042 Lin, Ping; Spiteri, Raymond J. 3 2002 Differential elimination-completion algorithms for DAE and PDAE. Zbl 1152.65458 Reid, Gregory J.; Lin, Ping; Wittkopf, Allan D. 15 2001 An iterative perturbation method for the pressure equation in the simulation of miscible displacement in porous media. Zbl 0914.76085 Lin, Ping; Yang, Daoqi 5 1998 A sequential regularization method for time-dependent incompressible Navier-Stokes equations. Zbl 0882.76018 Lin, Ping 32 1997 Sequential regularization methods for nonlinear higher-index DAEs. Zbl 0949.65084 Ascher, Uri; Lin, Ping 17 1997 Sequential regularization methods for higher index DAEs with constraint singularities: The linear index-2 case. Zbl 0858.65063 Ascher, Uri M.; Lin, Ping 23 1996 Numerical solution of nonlinear singular perturbation problems modelling chemical reactions. Zbl 0786.65068 Vulanović, R.; Farrell, Paul A.; Lin, P. 4 1993 A note on a mildly nonlinear turning point problem. Zbl 0779.34050 Lin, Ping 1 1993 Numerical solution of quasilinear attractive turning point problems. Zbl 0773.65063 Vulanović, Relja; Lin, Ping 7 1992 A numerical method for quasilinear singular perturbation problems with turning points. Zbl 0737.65069 Lin, P. 6 1991 An exponentially fitted difference scheme for the hyperbolic-hyperbolic singularly perturbed initial-boundary value problem. Zbl 0756.65114 Su, Yucheng; Lin, Ping 1 1991 A uniformly convergent difference scheme for a semilinear turning point problem. Zbl 0756.65109 Lin, Ping 1 1991 Uniform difference scheme for a singularly perturbed linear 2nd order hyperbolic problem with zeroth order reduced equation. Zbl 0803.65090 Su, Yucheng; Lin, Ping 4 1990 Numerical solution of the singularly perturbed problem for the hyperbolic equation with initial jump. Zbl 0803.65091 Su, Yucheng; Lin, Ping 1 1990 Numerical solution of quasilinear singularly perturbed ordinary differential equation without turning points. Zbl 0735.34041 Lin, Ping; Su, Yucheng 5 1989 A class of variational difference schemes for a singular perturbation problem. Zbl 0732.65075 Lin, Ping 2 1989 Numerical solution of singular perturbation problem for hyperbolic differential equation with characteristic boundaries. Zbl 0685.65090 Su, Yucheng; Lin, Ping 2 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,153 Authors 42 Lin, Ping 18 Duan, Huoyuan 18 Trucu, Dumitru 16 Sheng, Qin 15 Zhao, Jia 14 Ortner, Christoph 14 Wang, Qi 14 Yang, Xiaofeng 13 Kim, Junseok 12 Yang, Junxiang 11 Luskin, Mitchell 10 Ferreira, António Joaquim Mendes 10 Gong, Yuezheng 10 Han, Daozhi 10 Liu, Chun 10 Tan, Roger C. E. 9 Guillén González, Francisco M. 9 Liu, Gui-Rong 9 Roque, C. M. C. 9 Shapeev, Vasiliĭ Pavlovich 8 Chaplain, Mark A. J. 7 Eftimie, Raluca 7 Liao, Mingjie 6 Chen, Rui 6 Dehghan Takht Fooladi, Mehdi 6 Dobson, Matthew 6 Guo, Zhenlin 6 He, Dongdong 6 Pan, Mingyang 6 Tai, Xuecheng 6 Tan, Zhijun 6 Wang, Hao 6 Wang, Xiaoming 6 Zhang, Lei 5 Beauregard, Matthew A. 5 Cao, Jinde 5 Du, Zhijie 5 Li, Yibao 5 Natal Jorge, Renato Manuel 5 Pan, Kejia 5 Sun, Weiwei 5 Wu, Hao 5 Xu, Shixin 4 Badia, Santiago 4 Belyaev, Vasiliĭ Alekseevich 4 Bryndin, Luka Sergeevich 4 Carrera, Erasmo 4 Chen, Wenbin 4 Chiu, Pao-Hsiung 4 Cinefra, Maria 4 Deka, Bhupen 4 Domschke, Pia 4 Dong, Suchuan 4 Feng, Xinlong 4 Han, Xu 4 He, Xiaoming 4 Hong, Qi 4 Kadalbajoo, Mohan K. 4 Kahle, Christian 4 Khanwale, Makrand A. 4 Kou, Jisheng 4 Liu, Xinfeng 4 Lowengrub, John Samuel 4 Shen, Jie 4 Soltanian, Fahimeh 4 Sundar, Hari 4 Tierra, Giordano 4 Wang, Yangshuai 4 Zhang, Hui 4 Zhu, Shengfeng 3 Adler, James H. 3 Alsisi, Abdulhamed 3 Anjos, Gustavo Rabello 3 Chen, Jinru 3 D’Alfonso, Lisi 3 Denner, Fabian 3 Eymard, Robert 3 Ganapathysubramanian, Baskar 3 Gerisch, Alf 3 Gutiérrez-Santacreu, Juan Vicente 3 Herbin, Raphaèle 3 Hinze, Michael 3 Huang, Huaxiong 3 Huang, Pengzhan 3 Huang, Ziyang 3 Ibrahim, Iman H. 3 Jeronimo, Gabriela 3 Khoo, Boo Cheong 3 Kumar, Devendra 3 Kumar, Raman 3 Li, Guangyao 3 Li, Xiaoli 3 Li, Xingjie Helen 3 Li, Zhilin 3 Liang, Kewei 3 Liu, Chunxiao 3 Liu, Shuang 3 Liu, Wei 3 Liu, Zhengguang 3 Ma, Junhua ...and 1,053 more Authors all top 5 Cited in 157 Serials 75 Journal of Computational Physics 39 Computer Methods in Applied Mechanics and Engineering 35 Applied Mathematics and Computation 26 Computers & Mathematics with Applications 24 Journal of Scientific Computing 21 Computers and Fluids 20 SIAM Journal on Scientific Computing 19 Journal of Computational and Applied Mathematics 19 Engineering Analysis with Boundary Elements 12 International Journal of Computer Mathematics 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Numerische Mathematik 10 Communications in Nonlinear Science and Numerical Simulation 10 Communications in Computational Physics 9 Applied Numerical Mathematics 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Journal of Fluid Mechanics 8 Numerical Algorithms 7 Mathematics of Computation 7 Chaos, Solitons and Fractals 7 Computational Mechanics 7 Advances in Computational Mathematics 6 Journal of Mathematical Analysis and Applications 6 Numerical Methods for Partial Differential Equations 6 Computational and Applied Mathematics 5 Computer Physics Communications 5 Bulletin of Mathematical Biology 5 SIAM Journal on Numerical Analysis 5 Applied Mathematics and Mechanics. (English Edition) 5 Journal of Symbolic Computation 5 Applied Mathematics Letters 5 Applied Mathematical Modelling 5 Journal of Mathematical Imaging and Vision 5 Multiscale Modeling & Simulation 5 Advances in Difference Equations 5 Journal of Theoretical Biology 4 Journal of the Franklin Institute 4 International Journal for Numerical Methods in Engineering 4 Mathematics and Computers in Simulation 4 Neural Networks 4 Journal of Nonlinear Science 4 International Journal of Computational Methods 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Mathematical Methods in the Applied Sciences 3 BIT 3 Calcolo 3 Mathematical Problems in Engineering 3 European Journal of Mechanics. A. Solids 3 Nonlinear Analysis. Real World Applications 3 Archives of Computational Methods in Engineering 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Applied Mathematics 3 Mathematical Biosciences and Engineering 3 Boundary Value Problems 3 Advances in Applied Mathematics and Mechanics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Mathematics in Applied Sciences and Engineering 2 International Journal for Numerical Methods in Fluids 2 Indian Journal of Pure & Applied Mathematics 2 International Journal of Solids and Structures 2 Journal of Engineering Mathematics 2 Mathematical Biosciences 2 Nonlinearity 2 Journal of Differential Equations 2 Meccanica 2 Acta Mathematicae Applicatae Sinica. English Series 2 European Journal of Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 Applicable Algebra in Engineering, Communication and Computing 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 European Journal of Mechanics. B. Fluids 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Mathematics and Computing 2 International Journal of Numerical Analysis and Modeling 2 Frontiers of Mathematics in China 2 Inverse Problems and Imaging 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 AIMS Mathematics 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Fluid Dynamics 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Automatica 1 Computing 1 Information Sciences 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 Optimal Control Applications & Methods 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire ...and 57 more Serials all top 5 Cited in 41 Fields 414 Numerical analysis (65-XX) 291 Fluid mechanics (76-XX) 228 Partial differential equations (35-XX) 87 Mechanics of deformable solids (74-XX) 58 Ordinary differential equations (34-XX) 58 Biology and other natural sciences (92-XX) 47 Statistical mechanics, structure of matter (82-XX) 24 Optics, electromagnetic theory (78-XX) 22 Systems theory; control (93-XX) 21 Computer science (68-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Information and communication theory, circuits (94-XX) 12 Probability theory and stochastic processes (60-XX) 11 Operations research, mathematical programming (90-XX) 10 Mechanics of particles and systems (70-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Quantum theory (81-XX) 6 Real functions (26-XX) 5 Geophysics (86-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year