## Lin, Guang

Compute Distance To:
 Author ID: lin.guang Published as: Lin, Guang; Lin, G. Homepage: https://www.math.purdue.edu/~lin491/ External Links: MGP · ORCID
 Documents Indexed: 104 Publications since 2004 Co-Authors: 137 Co-Authors with 103 Joint Publications 4,031 Co-Co-Authors
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### Co-Authors

 0 single-authored 8 Karniadakis, George Em 7 Ardekani, Arezoo M. 7 Huang, Ziyang 7 Zheng, Bin 6 Karagiannis, Georgios A. 6 Konomi, Bledar A. 6 Yang, Xiu 5 Zhang, Zecheng 4 Hao, Wenrui 4 Hao, Zhaopeng 4 Wang, Yating 4 Wang, Yuepeng 3 Deng, Wei 3 Esquivel, Hugo 3 Leung, Wingtat 3 Li, Jinglai 3 Li, Weixuan 3 Liang, Faming 3 Liu, Jiangguo 3 Prakash, Arun J. 3 Su, Chau-Hsing 3 Tartakovsky, Alexandre M. 3 Xu, Zhijie 3 Xu, Zhiliang 3 Zhang, Sheng 3 Zhang, Zhongqiang 2 Baker, Nathan A. 2 Bao, Jie 2 Bright, Ido 2 Efendiev, Yalchin R. 2 Hu, Kun 2 Ibragimov, Ranis N. 2 Jiang, Lijian 2 Kutz, J. Nathan 2 Lei, Huan 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, Long 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, Yao 1 Huang, Zhenyu 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 Lozano, Francisco 1 Man, Jun 1 Meng, Da 1 Moya, Christian 1 Mu, Lin 1 Navon, Ionel Michael 1 Ou, Na 1 Paniagua, Guillermo 1 Park, Moongyu 1 Ponce, Joan 1 Pothen, Alex 1 Purvine, Emilie 1 Qiao, Li 1 Qiu, Jingmei 1 Rahbari, Iman 1 Ramani, Karthik 1 Ren, Zhigang 1 Sadre-Marandi, Farrah 1 Sang, Huiyan 1 Shu, Chi-Wang ...and 37 more Co-Authors
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### Serials

 39 Journal of Computational Physics 9 Journal of Computational and Applied Mathematics 6 Communications in Computational Physics 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Scientific Computing 4 Multiscale Modeling & Simulation 3 International Journal for Uncertainty Quantification 2 Computers and Fluids 2 Mathematical Modelling of Natural Phenomena 2 Statistics and Computing 2 Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 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 Journal of Theoretical Biology 1 Journal of Applied Nonlinear Dynamics 1 SIAM/ASA Journal on Uncertainty Quantification
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### Fields

 69 Numerical analysis (65-XX) 34 Fluid mechanics (76-XX) 24 Partial differential equations (35-XX) 23 Probability theory and stochastic processes (60-XX) 21 Statistics (62-XX) 11 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 4 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 562 times in 462 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
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
2013
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu
2014
A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. Zbl 1295.65114
Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah
2015
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
2013
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
2011
Error analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1382.65326
Sun, Yuzhou; Sun, Pengtao; Zheng, Bin; Lin, Guang
2016
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
2018
The stochastic piston problem. Zbl 1135.76334
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
2004
Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids. Zbl 1263.65006
Lin, G.; Tartakovsky, A. M.; Tartakovsky, D. M.
2010
Enhancing sparsity of Hermite polynomial expansions by iterative rotations. Zbl 1351.60041
Yang, Xiu; Lei, Huan; Baker, Nathan A.; Lin, Guang
2016
Predicting shock dynamics in the presence of uncertainties. Zbl 1146.76613
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
2006
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
2016
Numerical studies of the stochastic Korteweg-de Vries equation. Zbl 1089.65010
Lin, Guang; Grinberg, Leopold; Karniadakis, George Em
2006
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
2019
Stochastic modeling of random roughness in shock scattering problems: theory and simulations. Zbl 1194.76099
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
2008
A second-order difference scheme for the time fractional substantial diffusion equation. Zbl 1351.26014
Hao, Zhaopeng; Cao, Wanrong; Lin, Guang
2017
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Zbl 1433.65211
Hao, Zhaopeng; Lin, Guang; Zhang, Zhongqiang
2020
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.
2014
An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling. Zbl 1349.65025
Li, Weixuan; Lin, Guang; Zhang, Dongxiao
2014
Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice. Zbl 1349.62133
Li, Weixuan; Lin, Guang; Li, Bing
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.
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
2015
Numerical studies of three-dimensional stochastic Darcy’s equation and stochastic advection-diffusion-dispersion equation. Zbl 1203.65019
Lin, Guang; Tartakovsky, A. M.
2010
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
2019
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.
2020
Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107
Wang, Yingwei; Hao, Wenrui; Lin, Guang
2018
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
2014
An adaptive importance sampling algorithm for Bayesian inversion with multimodal distributions. Zbl 1349.62025
Li, Weixuan; Lin, Guang
2015
Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007
Li, Jichun; Fang, Zhiwei; Lin, Guang
2018
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
2014
Simulated stochastic approximation annealing for global optimization with a square-root cooling schedule. Zbl 1367.62244
Liang, Faming; Cheng, Yichen; Lin, Guang
2014
Gaussian process surrogates for failure detection: a Bayesian experimental design approach. Zbl 1349.62360
Wang, Hongqiao; Lin, Guang; Li, Jinglai
2016
A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Zbl 1404.65290
Chen, Luoping; Zheng, Bin; Lin, Guang; Voulgarakis, Nikolaos
2017
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. Zbl 1349.65684
Liao, Qifeng; Lin, Guang
2016
A mixed upwind/central WENO scheme for incompressible two-phase flows. Zbl 1452.76154
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2019
Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model. Zbl 07506632
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2020
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
2013
Rare-event simulation for the stochastic Korteweg-de Vries equation. Zbl 1337.60140
Xu, Gongjun; Lin, Guang; Liu, Jingchen
2014
A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong
2017
A discontinuous Galerkin method for two-temperature plasmas. Zbl 1175.76102
2006
A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change. Zbl 07524791
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2022
Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients. Zbl 1465.65003
Xu, Zhijie; Tipireddy, Ramakrishna; Lin, Guang
2016
Analysis of a stage-structured dengue model. Zbl 1404.92180
Fang, Jinping; Lin, Guang; Wan, Hui
2018
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
2014
A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion. Zbl 1352.86013
Li, Jinglai; Lin, Guang; Yang, Xu
2015
A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. Zbl 07161476
Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin
2020
Sensitivity analysis and stochastic simulations of non-equilibrium plasma flow. Zbl 1176.76109
2009
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
2019
A consistent and conservative phase-field method for multiphase incompressible flows. Zbl 1491.76048
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2022
Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems. Zbl 07506521
Esquivel, Hugo; Prakash, Arun; Lin, Guang
2021
An $$hp$$-adaptive minimum action method based on a posteriori error estimate. Zbl 1499.65025
Wan, Xiaoliang; Zheng, Bin; Lin, Guang
2018
Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems. Zbl 1472.65012
Esquivel, Hugo; Prakash, Arun; Lin, Guang
2021
POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study. Zbl 1397.86018
Zhang, Zhongqiang; Yang, Xiu; Lin, Guang
2016
A generalized multi-fidelity simulation method using sparse polynomial chaos expansion. Zbl 1469.65023
Man, Jun; Lin, Guang; Yao, Yijun; Zeng, Lingzao
2021
Parallel and interacting stochastic approximation annealing algorithms for global optimisation. Zbl 1384.65002
Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang; Liang, Faming
2017
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.
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
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
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
2015
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
2018
Assessing the effects of modeling the spectrum of clinical symptoms on the dynamics and control of Ebola. Zbl 1409.92251
Ponce, Joan; Zheng, Yiqiang; Lin, Guang; Feng, Zhilan
2019
Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388
Xu, Zhiliang; Lin, Guang
2009
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
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
2020
A low-rank approximated multiscale method for PDEs with random coefficients. Zbl 1453.65435
Ou, Na; Lin, Guang; Jiang, Lijian
2020
Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238
Deng, Yixiang; Lin, Guang; Yang, Xiu
2020
Feasibility of DEIM for retrieving the initial field via dimensionality reduction. Zbl 07500740
Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang
2021
A consistent and conservative model and its scheme for $$N$$-phase-$$M$$-component incompressible flows. Zbl 07508530
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2021
SubTSBR to tackle high noise and outliers for data-driven discovery of differential equations. Zbl 07511413
Zhang, Sheng; Lin, Guang
2021
Bayesian sparse learning with preconditioned stochastic gradient MCMC and its applications. Zbl 07511680
Wang, Yating; Deng, Wei; Lin, Guang
2021
A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change. Zbl 07524791
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2022
A consistent and conservative phase-field method for multiphase incompressible flows. Zbl 1491.76048
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2022
Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems. Zbl 07506521
Esquivel, Hugo; Prakash, Arun; Lin, Guang
2021
Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems. Zbl 1472.65012
Esquivel, Hugo; Prakash, Arun; Lin, Guang
2021
A generalized multi-fidelity simulation method using sparse polynomial chaos expansion. Zbl 1469.65023
Man, Jun; Lin, Guang; Yao, Yijun; Zeng, Lingzao
2021
Feasibility of DEIM for retrieving the initial field via dimensionality reduction. Zbl 07500740
Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang
2021
A consistent and conservative model and its scheme for $$N$$-phase-$$M$$-component incompressible flows. Zbl 07508530
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2021
SubTSBR to tackle high noise and outliers for data-driven discovery of differential equations. Zbl 07511413
Zhang, Sheng; Lin, Guang
2021
Bayesian sparse learning with preconditioned stochastic gradient MCMC and its applications. Zbl 07511680
Wang, Yating; Deng, Wei; Lin, Guang
2021
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Zbl 1433.65211
Hao, Zhaopeng; Lin, Guang; Zhang, Zhongqiang
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.
2020
Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model. Zbl 07506632
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
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
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
2020
A low-rank approximated multiscale method for PDEs with random coefficients. Zbl 1453.65435
Ou, Na; Lin, Guang; Jiang, Lijian
2020
Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238
Deng, Yixiang; Lin, Guang; Yang, Xiu
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
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
2019
A mixed upwind/central WENO scheme for incompressible two-phase flows. Zbl 1452.76154
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
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
2019
Assessing the effects of modeling the spectrum of clinical symptoms on the dynamics and control of Ebola. Zbl 1409.92251
Ponce, Joan; Zheng, Yiqiang; Lin, Guang; Feng, Zhilan
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
2019
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
2018
Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107
Wang, Yingwei; Hao, Wenrui; Lin, Guang
2018
Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007
Li, Jichun; Fang, Zhiwei; Lin, Guang
2018
Analysis of a stage-structured dengue model. Zbl 1404.92180
Fang, Jinping; Lin, Guang; Wan, Hui
2018
An $$hp$$-adaptive minimum action method based on a posteriori error estimate. Zbl 1499.65025
Wan, Xiaoliang; Zheng, Bin; Lin, Guang
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
2018
A second-order difference scheme for the time fractional substantial diffusion equation. Zbl 1351.26014
Hao, Zhaopeng; Cao, Wanrong; Lin, Guang
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
2017
A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164
Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong
2017
Parallel and interacting stochastic approximation annealing algorithms for global optimisation. Zbl 1384.65002
Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang; Liang, Faming
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
2017
Error analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1382.65326
Sun, Yuzhou; Sun, Pengtao; Zheng, Bin; Lin, Guang
2016
Enhancing sparsity of Hermite polynomial expansions by iterative rotations. Zbl 1351.60041
Yang, Xiu; Lei, Huan; Baker, Nathan A.; Lin, Guang
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
2016
Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice. Zbl 1349.62133
Li, Weixuan; Lin, Guang; Li, Bing
2016
Gaussian process surrogates for failure detection: a Bayesian experimental design approach. Zbl 1349.62360
Wang, Hongqiao; Lin, Guang; Li, Jinglai
2016
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. Zbl 1349.65684
Liao, Qifeng; Lin, Guang
2016
Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients. Zbl 1465.65003
Xu, Zhijie; Tipireddy, Ramakrishna; Lin, Guang
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
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
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.
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
2015
An adaptive importance sampling algorithm for Bayesian inversion with multimodal distributions. Zbl 1349.62025
Li, Weixuan; Lin, Guang
2015
A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion. Zbl 1352.86013
Li, Jinglai; Lin, Guang; Yang, Xu
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
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
2015
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu
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.
2014
An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling. Zbl 1349.65025
Li, Weixuan; Lin, Guang; Zhang, Dongxiao
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
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
2014
Simulated stochastic approximation annealing for global optimization with a square-root cooling schedule. Zbl 1367.62244
Liang, Faming; Cheng, Yichen; Lin, Guang
2014
Rare-event simulation for the stochastic Korteweg-de Vries equation. Zbl 1337.60140
Xu, Gongjun; Lin, Guang; Liu, Jingchen
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
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.
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
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
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
2013
Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. Zbl 1408.76428
Yang, Xiu; Choi, Minseok; Lin, Guang; Karniadakis, George Em
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
2011
Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids. Zbl 1263.65006
Lin, G.; Tartakovsky, A. M.; Tartakovsky, D. M.
2010
Numerical studies of three-dimensional stochastic Darcy’s equation and stochastic advection-diffusion-dispersion equation. Zbl 1203.65019
Lin, Guang; Tartakovsky, A. M.
2010
Sensitivity analysis and stochastic simulations of non-equilibrium plasma flow. Zbl 1176.76109
2009
Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388
Xu, Zhiliang; Lin, Guang
2009
Stochastic modeling of random roughness in shock scattering problems: theory and simulations. Zbl 1194.76099
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
2008
Predicting shock dynamics in the presence of uncertainties. Zbl 1146.76613
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
2006
Numerical studies of the stochastic Korteweg-de Vries equation. Zbl 1089.65010
Lin, Guang; Grinberg, Leopold; Karniadakis, George Em
2006
A discontinuous Galerkin method for two-temperature plasmas. Zbl 1175.76102
2006
The stochastic piston problem. Zbl 1135.76334
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
2004
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### Cited by 880 Authors

 42 Lin, Guang 16 Karniadakis, George Em 11 Kutz, J. Nathan 11 Zabaras, Nicholas J. 10 Yang, Xiu 10 Zhang, Shangyou 9 Brunton, Steven L. 9 Liu, Jiangguo 9 Ye, Xiu 8 Tartakovsky, Alexandre M. 7 Bilionis, Ilias 7 Wang, Hong 7 Zhang, Tie 6 Ervin, Vincent J. 6 Hao, Wenrui 6 Tavener, Simon J. 6 Zhang, Zhongqiang 6 Zheng, Xiangcheng 5 Ardekani, Arezoo M. 5 Doostan, Alireza 5 Hao, Zhaopeng 5 Koutsourelakis, Phaedon-Stelios 5 Liao, Qifeng 5 Tartakovsky, Daniel M. 5 Yang, Ying 4 Abgrall, Rémi 4 Chen, Zhangxin 4 Congedo, Pietro Marco 4 Huang, Ziyang 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 Xu, Zhiliang 4 Zhang, Dongxiao 4 Zhou, Shenggao 3 Babaee, Hessam 3 Baker, Nathan A. 3 Chen, Minghua 3 Chen, Yanping 3 Cheung, Siu Wun 3 Cho, Heyrim 3 Constantine, Paul G. 3 Deka, Bhupen 3 Dong, Suchuan 3 Duan, Jinqiao 3 Gao, Fuzheng 3 Glaws, Andrew 3 Hampton, Jerrad 3 He, Yinnian 3 Huang, Yunqing 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 Rui, Hongxing 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, Junping 3 Wang, Yating 3 Wang, Zhongming 3 Xia, Yidong 3 Zhai, Qilong 3 Zhong, Liuqiang 2 Abbaszadeh, Mostafa 2 Barajas-Solano, David A. 2 Bijl, Hester 2 Bortz, David M. 2 Brandt, Luca 2 Brunton, Bingni Wen 2 Bui-Thanh, Tan 2 Cao, Wanrong 2 Cartalade, Alain 2 Chakraborty, Souvik ...and 780 more Authors
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### Cited in 110 Serials

 130 Journal of Computational Physics 32 Computer Methods in Applied Mechanics and Engineering 30 Journal of Computational and Applied Mathematics 28 Journal of Scientific Computing 16 SIAM Journal on Scientific Computing 15 Computers & Mathematics with Applications 13 SIAM/ASA Journal on Uncertainty Quantification 11 Computers and Fluids 11 Applied Mathematics and Computation 11 Applied Numerical Mathematics 8 Multiscale Modeling & Simulation 7 Computational Geosciences 6 Numerical Algorithms 6 Communications in Computational Physics 5 Journal of Fluid Mechanics 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 Physica D 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 Physica A 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 SIAM Journal on Numerical Analysis 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Machine Learning 1 The Annals of Applied Probability 1 Communications in Statistics. Simulation and Computation 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 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Turkish Journal of Mathematics 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 Journal of Biological Systems 1 Quantitative Finance 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 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 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics 1 GEM - International Journal on Geomathematics 1 Journal of Computational and Graphical Statistics 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Symmetry 1 ISRN Applied Mathematics 1 Mathematical Sciences ...and 10 more Serials
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### Cited in 33 Fields

 325 Numerical analysis (65-XX) 174 Partial differential equations (35-XX) 136 Fluid mechanics (76-XX) 78 Probability theory and stochastic processes (60-XX) 77 Statistics (62-XX) 52 Computer science (68-XX) 22 Biology and other natural sciences (92-XX) 18 Mechanics of deformable solids (74-XX) 16 Real functions (26-XX) 15 Optics, electromagnetic theory (78-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Geophysics (86-XX) 13 Ordinary differential equations (34-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Approximations and expansions (41-XX) 10 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 7 Special functions (33-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 3 Operator theory (47-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)