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Author ID: lin.ping Recent zbMATH articles by "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
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)

Publications by Year

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 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