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Author ID: lin.guang Recent zbMATH articles by "Lin, Guang"
Published as: Lin, Guang; Lin, G.
Homepage: https://www.math.purdue.edu/~lin491/
External Links: MGP · ORCID
Documents Indexed: 90 Publications since 2004
Co-Authors: 123 Co-Authors with 89 Joint Publications
3,455 Co-Co-Authors
all top 5

Co-Authors

0 single-authored
8 Karniadakis, George Em
6 Ardekani, Arezoo M.
6 Huang, Ziyang
6 Karagiannis, Georgios A.
6 Yang, Xiu
6 Zheng, Bin
5 Konomi, Bledar A.
4 Hao, Zhaopeng
4 Wang, Yuepeng
3 Hao, Wenrui
3 Li, Jinglai
3 Li, Weixuan
3 Liu, Jiangguo
3 Su, Chau-Hsing
3 Tartakovsky, Alexandre M.
3 Wang, Yating
3 Xu, Zhijie
3 Xu, Zhiliang
3 Zhang, Sheng
3 Zhang, Zhongqiang
2 Baker, Nathan A.
2 Bao, Jie
2 Bright, Ido
2 Deng, Wei
2 Esquivel, Hugo
2 Hu, Kun
2 Ibragimov, Ranis N.
2 Kutz, J. Nathan
2 Lei, Huan
2 Liang, Faming
2 Prakash, Arun J.
2 Ren, Lanlan
2 Shi, Xing
2 Tindel, Samy
2 Zhang, Zongyuan
1 Bilionis, Ilias
1 Cai, Xin
1 Cai, Zhiqiang
1 Cao, Wanrong
1 Chakraborty, Suman
1 Chen, Luoping
1 Chen, Tehuan
1 Cheng, Yichen
1 Cheng, Yue
1 Choi, Minseok
1 Christlieb, Andrew J.
1 Cotilla-sanchez, Eduardo
1 Deng, Yixiang
1 Ding, Xuemei
1 Du, Huijing
1 Du, Yifan
1 Fang, Fangxin
1 Fang, Jinping
1 Fang, Zhiwei
1 Fedosov, Dmitry A.
1 Feng, Zhilan
1 Gao, Liyao
1 Ginting, Victor
1 Grinberg, Leopold
1 Guo, Wei
1 Halappanavar, Mahantesh
1 Henager, Charles H.
1 Hesthaven, Jan S.
1 Hou, Thomas Yizhao
1 Hu, Xin
1 Huang, Zhenyu
1 Jiang, Lijian
1 Li, Hongshan
1 Li, Jichun
1 Liao, Qifeng
1 Liu, Bangde
1 Liu, Chun
1 Liu, Jingchen
1 Liu, Yanghui
1 Liu, Yingjie
1 Man, Jun
1 Meng, Da
1 Mu, Lin
1 Navon, Ionel Michael
1 Ou, Na
1 Park, Moongyu
1 Ponce, Joan
1 Pothen, Alex
1 Purvine, Emilie
1 Qiao, Li
1 Qiu, Jingmei
1 Ramani, Karthik
1 Ren, Zhigang
1 Sadre-Marandi, Farrah
1 Sang, Huiyan
1 Shu, Chi-Wang
1 Sun, Pengtao
1 Sun, Yixuan
1 Sun, Yuzhou
1 Sun, Zhizhong
1 Sushko, Maria L.
1 Tartakovsky, Daniel M.
1 Tipireddy, Ramakrishna
1 Voulgarakis, Nikolaos K.
1 Wan, Hui
...and 23 more Co-Authors
all top 5

Serials

34 Journal of Computational Physics
8 Journal of Computational and Applied Mathematics
6 Communications in Computational Physics
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Scientific Computing
3 Multiscale Modeling & Simulation
2 Mathematical Modelling of Natural Phenomena
2 Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Computers and Fluids
1 International Journal for Numerical Methods in Fluids
1 Journal of the Franklin Institute
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 International Journal for Numerical Methods in Engineering
1 Journal of the American Statistical Association
1 Journal of Statistical Planning and Inference
1 Applied Mathematics and Mechanics. (English Edition)
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Journal of Statistical Computation and Simulation
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Scientific Computing
1 Physics of Fluids
1 Optimization Methods & Software
1 Discrete and Continuous Dynamical Systems. Series B
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Statistical Analysis and Data Mining
1 Discrete and Continuous Dynamical Systems. Series S
1 Numerical Mathematics: Theory, Methods and Applications
1 Statistics and Computing
1 Journal of Theoretical Biology
1 Journal of Applied Nonlinear Dynamics
1 SIAM/ASA Journal on Uncertainty Quantification

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 503 times in 415 Documents Cited by Year
Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. Zbl 1408.76428
Yang, Xiu; Choi, Minseok; Lin, Guang; Karniadakis, George Em
44
2012
Multi-output separable Gaussian process: towards an efficient, fully Bayesian paradigm for uncertainty quantification. Zbl 1349.76760
Bilionis, Ilias; Zabaras, Nicholas; Konomi, Bledar A.; Lin, Guang
43
2013
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu
33
2014
Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements. Zbl 1320.76003
Bright, Ido; Lin, Guang; Kutz, J. Nathan
26
2013
A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. Zbl 1295.65114
Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah
23
2015
Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. Zbl 1408.65065
Xu, Zhiliang; Liu, Yingjie; Du, Huijing; Lin, Guang; Shu, Chi-Wang
22
2011
Error analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1382.65326
Sun, Yuzhou; Sun, Pengtao; Zheng, Bin; Lin, Guang
18
2016
The stochastic piston problem. Zbl 1135.76334
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
17
2004
Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids. Zbl 1263.65006
Lin, G.; Tartakovsky, A. M.; Tartakovsky, D. M.
16
2010
Predicting shock dynamics in the presence of uncertainties. Zbl 1146.76613
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
15
2006
Enhancing sparsity of Hermite polynomial expansions by iterative rotations. Zbl 1351.60041
Yang, Xiu; Lei, Huan; Baker, Nathan A.; Lin, Guang
15
2016
On application of the weak Galerkin finite element method to a two-phase model for subsurface flow. Zbl 1381.76168
Ginting, Victor; Lin, Guang; Liu, Jiangguo
14
2016
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
14
2018
Numerical studies of the stochastic Korteweg-de Vries equation. Zbl 1089.65010
Lin, Guang; Grinberg, Leopold; Karniadakis, George Em
13
2006
Stochastic modeling of random roughness in shock scattering problems: theory and simulations. Zbl 1194.76099
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
12
2008
Finite element method for two-sided fractional differential equations with variable coefficients: Galerkin approach. Zbl 1416.65268
Hao, Zhaopeng; Park, Moongyu; Lin, Guang; Cai, Zhiqiang
11
2019
A second-order difference scheme for the time fractional substantial diffusion equation. Zbl 1351.26014
Hao, Zhaopeng; Cao, Wanrong; Lin, Guang
11
2017
An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling. Zbl 1349.65025
Li, Weixuan; Lin, Guang; Zhang, Dongxiao
10
2014
Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice. Zbl 1349.62133
Li, Weixuan; Lin, Guang; Li, Bing
10
2016
Constructing surrogate models of complex systems with enhanced sparsity: quantifying the influence of conformational uncertainty in biomolecular solvation. Zbl 1339.92024
Lei, H.; Yang, X.; Zheng, B.; Lin, G.; Baker, N. A.
9
2015
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Zbl 1433.65211
Hao, Zhaopeng; Lin, Guang; Zhang, Zhongqiang
9
2020
Numerical studies of three-dimensional stochastic Darcy’s equation and stochastic advection-diffusion-dispersion equation. Zbl 1203.65019
Lin, Guang; Tartakovsky, A. M.
9
2010
Numerical solution of 3D Poisson-Nernst-Planck equations coupled with classical density functional theory for modeling ion and electron transport in a confined environment. Zbl 1388.65134
Meng, Da; Zheng, Bin; Lin, Guang; Sushko, Maria L.
9
2014
A Bayesian mixed shrinkage prior procedure for spatial-stochastic basis selection and evaluation of gPC expansions: applications to elliptic SPDEs. Zbl 1352.65634
Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang
8
2015
ConvPDE-UQ: convolutional neural networks with quantified uncertainty for heterogeneous elliptic partial differential equations on varied domains. Zbl 1457.65245
Winovich, Nick; Ramani, Karthik; Lin, Guang
7
2019
Selection of polynomial chaos bases via Bayesian model uncertainty methods with applications to sparse approximation of PDEs with stochastic inputs. Zbl 1349.62080
Karagiannis, Georgios; Lin, Guang
7
2014
An adaptive importance sampling algorithm for Bayesian inversion with multimodal distributions. Zbl 1349.62025
Li, Weixuan; Lin, Guang
7
2015
Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007
Li, Jichun; Fang, Zhiwei; Lin, Guang
5
2018
Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107
Wang, Yingwei; Hao, Wenrui; Lin, Guang
5
2018
Simulated stochastic approximation annealing for global optimization with a square-root cooling schedule. Zbl 1367.62244
Liang, Faming; Cheng, Yichen; Lin, Guang
5
2014
Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows. Zbl 1453.76131
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
4
2020
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. Zbl 1349.65684
Liao, Qifeng; Lin, Guang
4
2016
An adaptive ANOVA-based data-driven stochastic method for elliptic PDEs with random coefficient. Zbl 1388.65178
Zhang, Zhiwen; Hu, Xin; Hou, Thomas Y.; Lin, Guang; Yan, Mike
4
2014
A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong
3
2017
Rare-event simulation for the stochastic Korteweg-de Vries equation. Zbl 1337.60140
Xu, Gongjun; Lin, Guang; Liu, Jingchen
3
2014
A discontinuous Galerkin method for two-temperature plasmas. Zbl 1175.76102
Lin, Guang; Karniadakis, George Em
3
2006
A mixed upwind/central WENO scheme for incompressible two-phase flows. Zbl 1452.76154
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
3
2019
A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Zbl 1404.65290
Chen, Luoping; Zheng, Bin; Lin, Guang; Voulgarakis, Nikolaos
3
2017
Sensitivity analysis and stochastic simulations of non-equilibrium plasma flow. Zbl 1176.76109
Lin, Guang; Karniadakis, G. E.
2
2009
Analysis of a stage-structured dengue model. Zbl 1404.92180
Fang, Jinping; Lin, Guang; Wan, Hui
2
2018
Gaussian process surrogates for failure detection: a Bayesian experimental design approach. Zbl 1349.62360
Wang, Hongqiao; Lin, Guang; Li, Jinglai
2
2016
A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion. Zbl 1352.86013
Li, Jinglai; Lin, Guang; Yang, Xu
2
2015
Numerical solution of the Stratonovich- and Ito-Euler equations: application to the stochastic piston problem. Zbl 1286.35282
Zhang, Zhongqiang; Yang, Xiu; Lin, Guang; Karniadakis, George Em
2
2013
A three-dimensional phase field model coupled with a lattice kinetics solver for modeling crystal growth in furnaces with accelerated crucible rotation and traveling magnetic field. Zbl 1390.82065
Lin, Guang; Bao, Jie; Xu, Zhijie
2
2014
Optimal observations-based retrieval of topography in 2D shallow water equations using PC-EnKF. Zbl 1451.62165
Wang, Yuepeng; Hu, Kun; Ren, Lanlan; Lin, Guang
2
2019
POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study. Zbl 1397.86018
Zhang, Zhongqiang; Yang, Xiu; Lin, Guang
1
2016
Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF. Zbl 1405.65130
Wang, Yuepeng; Cheng, Yue; Zhang, Zongyuan; Lin, Guang
1
2018
Sparsity-promoting elastic net method with rotations for high-dimensional nonlinear inverse problem. Zbl 1440.65065
Wang, Yuepeng; Ren, Lanlan; Zhang, Zongyuan; Lin, Guang; Xu, Chao
1
2019
Real-time computational optimal control of an MHD flow system with parameter uncertainty quantification. Zbl 1451.93166
Chen, Tehuan; Ren, Zhigang; Lin, Guang; Wu, Zongze; Ye, Bao-Lin
1
2020
Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients. Zbl 1465.65003
Xu, Zhijie; Tipireddy, Ramakrishna; Lin, Guang
1
2016
A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. Zbl 07161476
Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin
1
2020
A low-rank approximated multiscale method for PDEs with random coefficients. Zbl 1453.65435
Ou, Na; Lin, Guang; Jiang, Lijian
1
2020
Parallel and interacting stochastic approximation annealing algorithms for global optimisation. Zbl 1384.65002
Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang; Liang, Faming
1
2017
A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow. Zbl 1349.76472
Hao, Wenrui; Xu, Zhiliang; Liu, Chun; Lin, Guang
1
2015
Full scale multi-output Gaussian process emulator with nonseparable auto-covariance functions. Zbl 1349.60059
Zhang, Bohai; Konomi, Bledar A.; Sang, Huiyan; Karagiannis, Georgios; Lin, Guang
1
2015
Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388
Xu, Zhiliang; Lin, Guang
1
2009
A phase-field model coupled with lattice kinetics solver for modeling crystal growth in furnaces. Zbl 1373.82095
Lin, Guang; Bao, Jie; Xu, Zhijie; Tartakovsky, Alexandre M.; Henager, Charles H.
1
2014
On the Bayesian calibration of computer model mixtures through experimental data, and the design of predictive models. Zbl 1376.86005
Karagiannis, Georgios; Lin, Guang
1
2017
Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238
Deng, Yixiang; Lin, Guang; Yang, Xiu
1
2020
A consistent and conservative phase-field method for multiphase incompressible flows. Zbl 07483290
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
1
2022
A consistent and conservative phase-field method for multiphase incompressible flows. Zbl 07483290
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
1
2022
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Zbl 1433.65211
Hao, Zhaopeng; Lin, Guang; Zhang, Zhongqiang
9
2020
Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows. Zbl 1453.76131
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
4
2020
Real-time computational optimal control of an MHD flow system with parameter uncertainty quantification. Zbl 1451.93166
Chen, Tehuan; Ren, Zhigang; Lin, Guang; Wu, Zongze; Ye, Bao-Lin
1
2020
A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. Zbl 07161476
Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin
1
2020
A low-rank approximated multiscale method for PDEs with random coefficients. Zbl 1453.65435
Ou, Na; Lin, Guang; Jiang, Lijian
1
2020
Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238
Deng, Yixiang; Lin, Guang; Yang, Xiu
1
2020
Finite element method for two-sided fractional differential equations with variable coefficients: Galerkin approach. Zbl 1416.65268
Hao, Zhaopeng; Park, Moongyu; Lin, Guang; Cai, Zhiqiang
11
2019
ConvPDE-UQ: convolutional neural networks with quantified uncertainty for heterogeneous elliptic partial differential equations on varied domains. Zbl 1457.65245
Winovich, Nick; Ramani, Karthik; Lin, Guang
7
2019
A mixed upwind/central WENO scheme for incompressible two-phase flows. Zbl 1452.76154
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
3
2019
Optimal observations-based retrieval of topography in 2D shallow water equations using PC-EnKF. Zbl 1451.62165
Wang, Yuepeng; Hu, Kun; Ren, Lanlan; Lin, Guang
2
2019
Sparsity-promoting elastic net method with rotations for high-dimensional nonlinear inverse problem. Zbl 1440.65065
Wang, Yuepeng; Ren, Lanlan; Zhang, Zongyuan; Lin, Guang; Xu, Chao
1
2019
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
14
2018
Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007
Li, Jichun; Fang, Zhiwei; Lin, Guang
5
2018
Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107
Wang, Yingwei; Hao, Wenrui; Lin, Guang
5
2018
Analysis of a stage-structured dengue model. Zbl 1404.92180
Fang, Jinping; Lin, Guang; Wan, Hui
2
2018
Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF. Zbl 1405.65130
Wang, Yuepeng; Cheng, Yue; Zhang, Zongyuan; Lin, Guang
1
2018
A second-order difference scheme for the time fractional substantial diffusion equation. Zbl 1351.26014
Hao, Zhaopeng; Cao, Wanrong; Lin, Guang
11
2017
A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong
3
2017
A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Zbl 1404.65290
Chen, Luoping; Zheng, Bin; Lin, Guang; Voulgarakis, Nikolaos
3
2017
Parallel and interacting stochastic approximation annealing algorithms for global optimisation. Zbl 1384.65002
Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang; Liang, Faming
1
2017
On the Bayesian calibration of computer model mixtures through experimental data, and the design of predictive models. Zbl 1376.86005
Karagiannis, Georgios; Lin, Guang
1
2017
Error analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1382.65326
Sun, Yuzhou; Sun, Pengtao; Zheng, Bin; Lin, Guang
18
2016
Enhancing sparsity of Hermite polynomial expansions by iterative rotations. Zbl 1351.60041
Yang, Xiu; Lei, Huan; Baker, Nathan A.; Lin, Guang
15
2016
On application of the weak Galerkin finite element method to a two-phase model for subsurface flow. Zbl 1381.76168
Ginting, Victor; Lin, Guang; Liu, Jiangguo
14
2016
Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice. Zbl 1349.62133
Li, Weixuan; Lin, Guang; Li, Bing
10
2016
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. Zbl 1349.65684
Liao, Qifeng; Lin, Guang
4
2016
Gaussian process surrogates for failure detection: a Bayesian experimental design approach. Zbl 1349.62360
Wang, Hongqiao; Lin, Guang; Li, Jinglai
2
2016
POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study. Zbl 1397.86018
Zhang, Zhongqiang; Yang, Xiu; Lin, Guang
1
2016
Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients. Zbl 1465.65003
Xu, Zhijie; Tipireddy, Ramakrishna; Lin, Guang
1
2016
A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. Zbl 1295.65114
Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah
23
2015
Constructing surrogate models of complex systems with enhanced sparsity: quantifying the influence of conformational uncertainty in biomolecular solvation. Zbl 1339.92024
Lei, H.; Yang, X.; Zheng, B.; Lin, G.; Baker, N. A.
9
2015
A Bayesian mixed shrinkage prior procedure for spatial-stochastic basis selection and evaluation of gPC expansions: applications to elliptic SPDEs. Zbl 1352.65634
Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang
8
2015
An adaptive importance sampling algorithm for Bayesian inversion with multimodal distributions. Zbl 1349.62025
Li, Weixuan; Lin, Guang
7
2015
A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion. Zbl 1352.86013
Li, Jinglai; Lin, Guang; Yang, Xu
2
2015
A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow. Zbl 1349.76472
Hao, Wenrui; Xu, Zhiliang; Liu, Chun; Lin, Guang
1
2015
Full scale multi-output Gaussian process emulator with nonseparable auto-covariance functions. Zbl 1349.60059
Zhang, Bohai; Konomi, Bledar A.; Sang, Huiyan; Karagiannis, Georgios; Lin, Guang
1
2015
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu
33
2014
An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling. Zbl 1349.65025
Li, Weixuan; Lin, Guang; Zhang, Dongxiao
10
2014
Numerical solution of 3D Poisson-Nernst-Planck equations coupled with classical density functional theory for modeling ion and electron transport in a confined environment. Zbl 1388.65134
Meng, Da; Zheng, Bin; Lin, Guang; Sushko, Maria L.
9
2014
Selection of polynomial chaos bases via Bayesian model uncertainty methods with applications to sparse approximation of PDEs with stochastic inputs. Zbl 1349.62080
Karagiannis, Georgios; Lin, Guang
7
2014
Simulated stochastic approximation annealing for global optimization with a square-root cooling schedule. Zbl 1367.62244
Liang, Faming; Cheng, Yichen; Lin, Guang
5
2014
An adaptive ANOVA-based data-driven stochastic method for elliptic PDEs with random coefficient. Zbl 1388.65178
Zhang, Zhiwen; Hu, Xin; Hou, Thomas Y.; Lin, Guang; Yan, Mike
4
2014
Rare-event simulation for the stochastic Korteweg-de Vries equation. Zbl 1337.60140
Xu, Gongjun; Lin, Guang; Liu, Jingchen
3
2014
A three-dimensional phase field model coupled with a lattice kinetics solver for modeling crystal growth in furnaces with accelerated crucible rotation and traveling magnetic field. Zbl 1390.82065
Lin, Guang; Bao, Jie; Xu, Zhijie
2
2014
A phase-field model coupled with lattice kinetics solver for modeling crystal growth in furnaces. Zbl 1373.82095
Lin, Guang; Bao, Jie; Xu, Zhijie; Tartakovsky, Alexandre M.; Henager, Charles H.
1
2014
Multi-output separable Gaussian process: towards an efficient, fully Bayesian paradigm for uncertainty quantification. Zbl 1349.76760
Bilionis, Ilias; Zabaras, Nicholas; Konomi, Bledar A.; Lin, Guang
43
2013
Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements. Zbl 1320.76003
Bright, Ido; Lin, Guang; Kutz, J. Nathan
26
2013
Numerical solution of the Stratonovich- and Ito-Euler equations: application to the stochastic piston problem. Zbl 1286.35282
Zhang, Zhongqiang; Yang, Xiu; Lin, Guang; Karniadakis, George Em
2
2013
Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. Zbl 1408.76428
Yang, Xiu; Choi, Minseok; Lin, Guang; Karniadakis, George Em
44
2012
Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. Zbl 1408.65065
Xu, Zhiliang; Liu, Yingjie; Du, Huijing; Lin, Guang; Shu, Chi-Wang
22
2011
Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids. Zbl 1263.65006
Lin, G.; Tartakovsky, A. M.; Tartakovsky, D. M.
16
2010
Numerical studies of three-dimensional stochastic Darcy’s equation and stochastic advection-diffusion-dispersion equation. Zbl 1203.65019
Lin, Guang; Tartakovsky, A. M.
9
2010
Sensitivity analysis and stochastic simulations of non-equilibrium plasma flow. Zbl 1176.76109
Lin, Guang; Karniadakis, G. E.
2
2009
Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388
Xu, Zhiliang; Lin, Guang
1
2009
Stochastic modeling of random roughness in shock scattering problems: theory and simulations. Zbl 1194.76099
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
12
2008
Predicting shock dynamics in the presence of uncertainties. Zbl 1146.76613
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
15
2006
Numerical studies of the stochastic Korteweg-de Vries equation. Zbl 1089.65010
Lin, Guang; Grinberg, Leopold; Karniadakis, George Em
13
2006
A discontinuous Galerkin method for two-temperature plasmas. Zbl 1175.76102
Lin, Guang; Karniadakis, George Em
3
2006
The stochastic piston problem. Zbl 1135.76334
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
17
2004
all top 5

Cited by 769 Authors

38 Lin, Guang
16 Karniadakis, George Em
11 Kutz, J. Nathan
11 Zabaras, Nicholas J.
10 Yang, Xiu
9 Brunton, Steven L.
9 Liu, Jiangguo
9 Ye, Xiu
9 Zhang, Shangyou
8 Tartakovsky, Alexandre M.
7 Bilionis, Ilias
7 Wang, Hong
6 Ervin, Vincent J.
6 Tavener, Simon J.
6 Zhang, Tie
6 Zhang, Zhongqiang
6 Zheng, Xiangcheng
5 Doostan, Alireza
5 Hao, Zhaopeng
5 Koutsourelakis, Phaedon-Stelios
5 Liao, Qifeng
5 Tartakovsky, Daniel M.
5 Yang, Ying
4 Abgrall, Rémi
4 Ardekani, Arezoo M.
4 Chen, Zhangxin
4 Congedo, Pietro Marco
4 Jiang, Lijian
4 Karagiannis, Georgios A.
4 Li, Jichun
4 Li, Jinglai
4 Li, Weixuan
4 Liu, Chun
4 Liu, Yingjie
4 Lu, Benzhuo
4 Luo, Hong
4 Mishra, Siddhartha
4 Mu, Lin
4 Schaeffer, Hayden
4 Schwab, Christoph
4 Tang, Kunkun
4 Wang, Yuepeng
4 Wang, Zhuoran
4 Zhang, Dongxiao
4 Zhou, Shenggao
3 Babaee, Hessam
3 Baker, Nathan A.
3 Chen, Minghua
3 Cheung, Siu Wun
3 Cho, Heyrim
3 Constantine, Paul G.
3 Glaws, Andrew
3 Hampton, Jerrad
3 Hao, Wenrui
3 He, Yinnian
3 Huang, Ziyang
3 Kaiser, Eurika
3 Kim, Chongam
3 Konomi, Bledar A.
3 Le Maître, Olivier P.
3 Lei, Huan
3 Li, Jian
3 Lin, Tao
3 Lucor, Didier
3 Nourgaliev, Robert R.
3 Pandita, Piyush
3 Park, Jinseok
3 Perdikaris, Paris G.
3 Shu, Shi
3 Šukys, Jonas
3 Sun, Pengtao
3 Tipireddy, Ramakrishna
3 Tokareva, Svetlana A.
3 Tripathy, Rohit K.
3 Tsilifis, Panagiotis A.
3 Venturi, Daniele
3 Wang, Cheng
3 Wang, Junping
3 Wang, Zhongming
3 Xia, Yidong
3 Xu, Zhiliang
3 Zhai, Qilong
3 Zhong, Liuqiang
2 Abbaszadeh, Mostafa
2 Barajas-Solano, David A.
2 Bijl, Hester
2 Bortz, David M.
2 Brunton, Bingni Wen
2 Bui-Thanh, Tan
2 Cao, Wanrong
2 Cartalade, Alain
2 Chakraborty, Souvik
2 Chen, Yanping
2 Choi, Minseok
2 Chung, Tsz Shun Eric
2 Coutinho, Alvaro L. G. A.
2 Dehghan Takht Fooladi, Mehdi
2 Deka, Bhupen
2 Després, Bruno
2 Dong, Suchuan
...and 669 more Authors
all top 5

Cited in 95 Serials

118 Journal of Computational Physics
27 Computer Methods in Applied Mechanics and Engineering
26 Journal of Computational and Applied Mathematics
26 Journal of Scientific Computing
15 SIAM Journal on Scientific Computing
13 SIAM/ASA Journal on Uncertainty Quantification
12 Computers & Mathematics with Applications
11 Computers and Fluids
10 Applied Mathematics and Computation
10 Applied Numerical Mathematics
7 Computational Geosciences
7 Multiscale Modeling & Simulation
6 Numerical Algorithms
5 Journal of Fluid Mechanics
5 Communications in Computational Physics
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Mathematics of Computation
3 Applied Mathematical Modelling
3 SIAM Journal on Applied Mathematics
3 Mathematical Problems in Engineering
3 Chaos
3 Discrete and Continuous Dynamical Systems. Series B
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Advances in Applied Mathematics and Mechanics
3 Statistics and Computing
2 Journal of Mathematical Analysis and Applications
2 Bulletin of Mathematical Biology
2 International Journal for Numerical Methods in Engineering
2 Mathematics and Computers in Simulation
2 Computational Mechanics
2 Computational Statistics
2 Advances in Computational Mathematics
2 Archives of Computational Methods in Engineering
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Theoretical Biology
2 Communications on Applied Mathematics and Computation
1 Inverse Problems
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Wave Motion
1 Chaos, Solitons and Fractals
1 BIT
1 Journal of Differential Equations
1 Journal of Multivariate Analysis
1 Journal of Statistical Planning and Inference
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 The Annals of Applied Probability
1 SIAM Review
1 Computational Statistics and Data Analysis
1 International Journal of Robust and Nonlinear Control
1 Journal of Mathematical Imaging and Vision
1 International Journal of Computer Vision
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Bernoulli
1 Journal of Mathematical Chemistry
1 Differential Equations and Dynamical Systems
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Optimization Methods & Software
1 Fractional Calculus & Applied Analysis
1 Communications in Nonlinear Science and Numerical Simulation
1 Quantitative Finance
1 Computational Methods in Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Machine Learning Research (JMLR)
1 Journal of Applied Mathematics and Computing
1 International Journal of Computational Methods
1 Acta Numerica
1 International Journal of Numerical Analysis and Modeling
1 Acta Mechanica Sinica
1 Journal of Biological Dynamics
1 Mathematical Modelling of Natural Phenomena
1 The Annals of Applied Statistics
1 Discrete and Continuous Dynamical Systems. Series S
1 Science China. Mathematics
1 GEM - International Journal on Geomathematics
1 Journal of Computational and Graphical Statistics
1 Symmetry
1 ISRN Applied Mathematics
1 Journal of Computational Dynamics
1 Mathematics
1 Journal of Mathematical Modeling
1 AIMS Mathematics
1 SMAI Journal of Computational Mathematics
1 Electronic Research Archive
1 Results in Applied Mathematics
1 Foundations of Data Science

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