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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
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Co-Authors

0 single-authored
13 Zhang, Zecheng
11 Moya, Christian
8 Huang, Ziyang
8 Karniadakis, George Em
8 Zheng, Bin
7 Ardekani, Arezoo M.
7 Karagiannis, Georgios A.
7 Yang, Xiu
6 Hao, Zhaopeng
6 Konomi, Bledar A.
5 Deng, Wei
5 Hao, Wenrui
5 Li, Weixuan
5 Liang, Faming
5 Wang, Yating
5 Wang, Yuepeng
4 Leung, Wingtat
4 Mollaali, Amirhossein
4 Zeng, Lingzao
4 Zhang, Zhongqiang
3 Esquivel, Hugo
3 Jiang, Lijian
3 Li, Jinglai
3 Liu, Jiangguo
3 Ou, Na
3 Paniagua, Guillermo
3 Prakash, Arun J.
3 Su, Chau-Hsing
3 Tartakovsky, Alexandre M.
3 Wu, Laosheng
3 Xu, Zhijie
3 Xu, Zhiliang
3 Zhang, Jiahao
3 Zhang, Jiangjiang
3 Zhang, Sheng
2 Baker, Nathan A.
2 Bao, Jie
2 Bright, Ido
2 Efendiev, Yalchin R.
2 Gao, Liyao
2 Hu, Kun
2 Huang, Yao
2 Ibragimov, Ranis N.
2 Kutz, J. Nathan
2 Lei, Huan
2 Lu, Lu
2 Man, Jun
2 Navon, Ionel Michael
2 Ren, Lanlan
2 Sahin, Izzet
2 Schaeffer, Hayden
2 Shi, Xing
2 Tindel, Samy
2 Xu, Jinchao
2 Yue, Meng
2 Zhang, Shiheng
2 Zhang, Shiqi
2 Zhang, Zhidong
2 Zhang, Zongyuan
1 Bilionis, Ilias
1 Cai, Xin
1 Cai, Zhiqiang
1 Cao, Wanrong
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 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 Kong, Zhihao
1 LeVeque, Randall J.
1 Li, Bing
1 Li, Guanxun
1 Li, Hongshan
1 Li, Jichun
1 Li, Yuqing
1 Liao, Qifeng
1 Liu, Bangde
1 Liu, Chun
1 Liu, Jingchen
...and 67 more Co-Authors
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Serials

42 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

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 746 times in 606 Documents Cited by Year
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
54
2013
Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. Zbl 1408.76428
Yang, Xiu; Choi, Minseok; Lin, Guang; Karniadakis, George Em
51
2012
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu
47
2014
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
35
2018
A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. Zbl 1295.65114
Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah
33
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
29
2013
Error analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1382.65326
Sun, Yuzhou; Sun, Pengtao; Zheng, Bin; Lin, Guang
26
2016
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
24
2011
Enhancing sparsity of Hermite polynomial expansions by iterative rotations. Zbl 1351.60041
Yang, Xiu; Lei, Huan; Baker, Nathan A.; Lin, Guang
19
2016
The stochastic piston problem. Zbl 1135.76334
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
18
2004
Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids. Zbl 1263.65006
Lin, G.; Tartakovsky, A. M.; Tartakovsky, D. M.
18
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
17
2019
Predicting shock dynamics in the presence of uncertainties. Zbl 1146.76613
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
16
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
16
2016
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.
16
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.
16
2020
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Zbl 1433.65211
Hao, Zhaopeng; Lin, Guang; Zhang, Zhongqiang
16
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
15
2019
Numerical studies of the stochastic Korteweg-de Vries equation. Zbl 1089.65010
Lin, Guang; Grinberg, Leopold; Karniadakis, George Em
14
2006
A second-order difference scheme for the time fractional substantial diffusion equation. Zbl 1351.26014
Hao, Zhaopeng; Cao, Wanrong; Lin, Guang
12
2017
Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice. Zbl 1349.62133
Li, Weixuan; Lin, Guang; Li, Bing
12
2016
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.
12
2014
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.
12
2015
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
Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007
Li, Jichun; Fang, Zhiwei; Lin, Guang
12
2018
Numerical studies of three-dimensional stochastic Darcy’s equation and stochastic advection-diffusion-dispersion equation. Zbl 1203.65019
Lin, Guang; Tartakovsky, A. M.
11
2010
An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling. Zbl 1349.65025
Li, Weixuan; Lin, Guang; Zhang, Dongxiao
10
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
10
2015
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
9
2014
Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107
Wang, Yingwei; Hao, Wenrui; Lin, Guang
9
2018
An adaptive importance sampling algorithm for Bayesian inversion with multimodal distributions. Zbl 1349.62025
Li, Weixuan; Lin, Guang
7
2015
A mixed upwind/central WENO scheme for incompressible two-phase flows. Zbl 1452.76154
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
6
2019
A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows. Zbl 07508530
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
6
2021
Gaussian process surrogates for failure detection: a Bayesian experimental design approach. Zbl 1349.62360
Wang, Hongqiao; Lin, Guang; Li, Jinglai
5
2016
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. Zbl 1349.65684
Liao, Qifeng; Lin, Guang
5
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
5
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
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.
5
2022
A discontinuous Galerkin method for two-temperature plasmas. Zbl 1175.76102
Lin, Guang; Karniadakis, George Em
4
2006
A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Zbl 1404.65290
Chen, Luoping; Zheng, Bin; Lin, Guang; Voulgarakis, Nikolaos
4
2017
SubTSBR to tackle high noise and outliers for data-driven discovery of differential equations. Zbl 07511413
Zhang, Sheng; Lin, Guang
4
2021
Efficient hybrid explicit-implicit learning for multiscale problems. Zbl 07568530
Efendiev, Yalchin; Leung, Wing Tat; Lin, Guang; Zhang, Zecheng
4
2022
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
4
2020
A consistent and conservative phase-field method for multiphase incompressible flows. Zbl 1491.76048
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
4
2022
Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients. Zbl 1465.65003
Xu, Zhijie; Tipireddy, Ramakrishna; Lin, Guang
4
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
4
2020
A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion. Zbl 1352.86013
Li, Jinglai; Lin, Guang; Yang, Xu
3
2015
Rare-event simulation for the stochastic Korteweg-de Vries equation. Zbl 1337.60140
Xu, Gongjun; Lin, Guang; Liu, Jingchen
3
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
Bayesian sparse learning with preconditioned stochastic gradient MCMC and its applications. Zbl 07511680
Wang, Yating; Deng, Wei; Lin, Guang
3
2021
NH-PINN: neural homogenization-based physics-informed neural network for multiscale problems. Zbl 07599595
Leung, Wing Tat; Lin, Guang; Zhang, Zecheng
3
2022
Analysis of variance-based mixed multiscale finite element method and applications in stochastic two-phase flows. Zbl 1524.76251
Wei, Jia; Lin, Guang; Jiang, Lijian; Efendiev, Yalchin
3
2014
An \(hp\)-adaptive minimum action method based on a posteriori error estimate. Zbl 1499.65025
Wan, Xiaoliang; Zheng, Bin; Lin, Guang
3
2018
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
3
2013
A low-rank approximated multiscale method for PDEs with random coefficients. Zbl 1453.65435
Ou, Na; Lin, Guang; Jiang, Lijian
3
2020
Sensitivity analysis and stochastic simulations of non-equilibrium plasma flow. Zbl 1176.76109
Lin, Guang; Karniadakis, G. E.
2
2009
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
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
2
2015
Classification of spatiotemporal data via asynchronous sparse sampling: application to flow around a cylinder. Zbl 1381.37101
Bright, Ido; Lin, Guang; Kutz, J. Nathan
2
2016
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
Uncertainty quantification of the gem challenge magnetic reconnection problem using the multilevel Monte Carlo method. Zbl 1498.82032
Sousa, Éder M.; Lin, Guang; Shumlak, Uri
2
2015
B-DeepONet: an enhanced Bayesian deeponet for solving noisy parametric PDEs using accelerated replica exchange SGLD. Zbl 07625386
Lin, Guang; Moya, Christian; Zhang, Zecheng
2
2023
HomPINNs: homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations. Zbl 1524.65937
Huang, Yao; Hao, Wenrui; Lin, Guang
2
2022
Implementing contact angle boundary conditions for second-order phase-field models of wall-bounded multiphase flows. Zbl 07605590
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2
2022
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
2
2019
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
2
2021
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
Analysis of a stage-structured dengue model. Zbl 1404.92180
Fang, Jinping; Lin, Guang; Wan, Hui
2
2018
Parallel and interacting stochastic approximation annealing algorithms for global optimisation. Zbl 1384.65002
Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang; Liang, Faming
1
2017
Nonlinear analysis of perturbed rotating whirlpools in the Ocean and atmosphere. Zbl 1445.76033
Ibragimov, R. N.; Lin, G.
1
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.
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
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
Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238
Deng, Yixiang; Lin, Guang; Yang, Xiu
1
2020
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
1
2019
An adaptive Hessian approximated stochastic gradient MCMC method. Zbl 07511683
Wang, Yating; Deng, Wei; Lin, Guang
1
2021
Multi-variance replica exchange SGMCMC for inverse and forward problems via Bayesian PINN. Zbl 07525156
Lin, Guang; Wang, Yating; Zhang, Zecheng
1
2022
RotEqNet: rotation-equivariant network for fluid systems with symmetric high-order tensors. Zbl 07525180
Gao, Liyao; Du, Yifan; Li, Hongshan; Lin, Guang
1
2022
Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388
Xu, Zhiliang; Lin, Guang
1
2009
A generalized multi-fidelity simulation method using sparse polynomial chaos expansion. Zbl 1469.65023
Man, Jun; Lin, Guang; Yao, Yijun; Zeng, Lingzao
1
2021
Theoretical and numerical studies of inverse source problem for the linear parabolic equation with sparse boundary measurements. Zbl 1503.35287
Lin, Guang; Zhang, Zecheng; Zhang, Zhidong
1
2022
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
1
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
1
2021
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
B-DeepONet: an enhanced Bayesian deeponet for solving noisy parametric PDEs using accelerated replica exchange SGLD. Zbl 07625386
Lin, Guang; Moya, Christian; Zhang, Zecheng
2
2023
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.
5
2022
Efficient hybrid explicit-implicit learning for multiscale problems. Zbl 07568530
Efendiev, Yalchin; Leung, Wing Tat; Lin, Guang; Zhang, Zecheng
4
2022
A consistent and conservative phase-field method for multiphase incompressible flows. Zbl 1491.76048
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
4
2022
NH-PINN: neural homogenization-based physics-informed neural network for multiscale problems. Zbl 07599595
Leung, Wing Tat; Lin, Guang; Zhang, Zecheng
3
2022
HomPINNs: homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations. Zbl 1524.65937
Huang, Yao; Hao, Wenrui; Lin, Guang
2
2022
Implementing contact angle boundary conditions for second-order phase-field models of wall-bounded multiphase flows. Zbl 07605590
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2
2022
Multi-variance replica exchange SGMCMC for inverse and forward problems via Bayesian PINN. Zbl 07525156
Lin, Guang; Wang, Yating; Zhang, Zecheng
1
2022
RotEqNet: rotation-equivariant network for fluid systems with symmetric high-order tensors. Zbl 07525180
Gao, Liyao; Du, Yifan; Li, Hongshan; Lin, Guang
1
2022
Theoretical and numerical studies of inverse source problem for the linear parabolic equation with sparse boundary measurements. Zbl 1503.35287
Lin, Guang; Zhang, Zecheng; Zhang, Zhidong
1
2022
A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows. Zbl 07508530
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
6
2021
SubTSBR to tackle high noise and outliers for data-driven discovery of differential equations. Zbl 07511413
Zhang, Sheng; Lin, Guang
4
2021
Bayesian sparse learning with preconditioned stochastic gradient MCMC and its applications. Zbl 07511680
Wang, Yating; Deng, Wei; Lin, Guang
3
2021
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
2
2021
An adaptive Hessian approximated stochastic gradient MCMC method. Zbl 07511683
Wang, Yating; Deng, Wei; Lin, Guang
1
2021
A generalized multi-fidelity simulation method using sparse polynomial chaos expansion. Zbl 1469.65023
Man, Jun; Lin, Guang; Yao, Yijun; Zeng, Lingzao
1
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
1
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
1
2021
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.
16
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.
16
2020
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Zbl 1433.65211
Hao, Zhaopeng; Lin, Guang; Zhang, Zhongqiang
16
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
4
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
4
2020
A low-rank approximated multiscale method for PDEs with random coefficients. Zbl 1453.65435
Ou, Na; Lin, Guang; Jiang, Lijian
3
2020
Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238
Deng, Yixiang; Lin, Guang; Yang, Xiu
1
2020
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
17
2019
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
15
2019
A mixed upwind/central WENO scheme for incompressible two-phase flows. Zbl 1452.76154
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
6
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
2
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
1
2019
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
35
2018
Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007
Li, Jichun; Fang, Zhiwei; Lin, Guang
12
2018
Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107
Wang, Yingwei; Hao, Wenrui; Lin, Guang
9
2018
An \(hp\)-adaptive minimum action method based on a posteriori error estimate. Zbl 1499.65025
Wan, Xiaoliang; Zheng, Bin; Lin, Guang
3
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
12
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
4
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
Parallel and interacting stochastic approximation annealing algorithms for global optimisation. Zbl 1384.65002
Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang; Liang, Faming
1
2017
Nonlinear analysis of perturbed rotating whirlpools in the Ocean and atmosphere. Zbl 1445.76033
Ibragimov, R. N.; Lin, G.
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
26
2016
Enhancing sparsity of Hermite polynomial expansions by iterative rotations. Zbl 1351.60041
Yang, Xiu; Lei, Huan; Baker, Nathan A.; Lin, Guang
19
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
16
2016
Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice. Zbl 1349.62133
Li, Weixuan; Lin, Guang; Li, Bing
12
2016
Gaussian process surrogates for failure detection: a Bayesian experimental design approach. Zbl 1349.62360
Wang, Hongqiao; Lin, Guang; Li, Jinglai
5
2016
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. Zbl 1349.65684
Liao, Qifeng; Lin, Guang
5
2016
Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients. Zbl 1465.65003
Xu, Zhijie; Tipireddy, Ramakrishna; Lin, Guang
4
2016
Classification of spatiotemporal data via asynchronous sparse sampling: application to flow around a cylinder. Zbl 1381.37101
Bright, Ido; Lin, Guang; Kutz, J. Nathan
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
A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. Zbl 1295.65114
Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah
33
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.
12
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
10
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
3
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
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
2
2015
Uncertainty quantification of the gem challenge magnetic reconnection problem using the multilevel Monte Carlo method. Zbl 1498.82032
Sousa, Éder M.; Lin, Guang; Shumlak, Uri
2
2015
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu
47
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.
12
2014
An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling. Zbl 1349.65025
Li, Weixuan; Lin, Guang; Zhang, Dongxiao
10
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
9
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
5
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
Rare-event simulation for the stochastic Korteweg-de Vries equation. Zbl 1337.60140
Xu, Gongjun; Lin, Guang; Liu, Jingchen
3
2014
Analysis of variance-based mixed multiscale finite element method and applications in stochastic two-phase flows. Zbl 1524.76251
Wei, Jia; Lin, Guang; Jiang, Lijian; Efendiev, Yalchin
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
54
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
29
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
3
2013
Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. Zbl 1408.76428
Yang, Xiu; Choi, Minseok; Lin, Guang; Karniadakis, George Em
51
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
24
2011
Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids. Zbl 1263.65006
Lin, G.; Tartakovsky, A. M.; Tartakovsky, D. M.
18
2010
Numerical studies of three-dimensional stochastic Darcy’s equation and stochastic advection-diffusion-dispersion equation. Zbl 1203.65019
Lin, Guang; Tartakovsky, A. M.
11
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.
16
2006
Numerical studies of the stochastic Korteweg-de Vries equation. Zbl 1089.65010
Lin, Guang; Grinberg, Leopold; Karniadakis, George Em
14
2006
A discontinuous Galerkin method for two-temperature plasmas. Zbl 1175.76102
Lin, Guang; Karniadakis, George Em
4
2006
The stochastic piston problem. Zbl 1135.76334
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
18
2004
all top 5

Cited by 1,154 Authors

47 Lin, Guang
17 Karniadakis, George Em
13 Zhang, Shangyou
12 Kutz, J. Nathan
12 Yang, Xiu
12 Zabaras, Nicholas J.
11 Ye, Xiu
10 Tartakovsky, Alexandre M.
9 Brunton, Steven L.
9 Liu, Jiangguo
8 Bilionis, Ilias
8 Liao, Qifeng
8 Wang, Hong
8 Zheng, Xiangcheng
7 Ervin, Vincent J.
7 Gao, Fuzheng
7 Hao, Wenrui
7 Huang, Ziyang
7 Zhang, Tie
6 Ardekani, Arezoo M.
6 Doostan, Alireza
6 Kim, Junseok
6 Koutsourelakis, Phaedon-Stelios
6 Tavener, Simon J.
6 Yang, Junxiang
6 Yang, Ying
6 Zhang, Dongxiao
6 Zhang, Zhongqiang
6 Zhou, Shenggao
5 Chakraborty, Souvik
5 Dong, Suchuan
5 Hao, Zhaopeng
5 Jiang, Lijian
5 Kumar, Naresh
5 Li, Jichun
5 Li, Jinglai
5 Mishra, Siddhartha
5 Schwab, Christoph
5 Tartakovsky, Daniel M.
5 Wang, Yuepeng
4 Abgrall, Rémi
4 Babaee, Hessam
4 Baker, Nathan A.
4 Cao, Wanrong
4 Chen, Zhangxin
4 Chung, Tsz Shun Eric
4 Congedo, Pietro Marco
4 Deka, Bhupen
4 Karagiannis, Georgios A.
4 Konomi, Bledar A.
4 Lei, Huan
4 Leung, Wingtat
4 Li, Shengyue
4 Li, Weixuan
4 Liu, Chun
4 Liu, Yingjie
4 Lu, Benzhuo
4 Lucor, Didier
4 Luo, Hong
4 Mani, Ali
4 Mu, Lin
4 Rui, Hongxing
4 Schaeffer, Hayden
4 Šukys, Jonas
4 Tang, Kunkun
4 Tipireddy, Ramakrishna
4 Wang, Junping
4 Wang, Xiaoshen
4 Wang, Yating
4 Wang, Zhongming
4 Wang, Zhuoran
4 Xu, Hao
4 Xu, Zhiliang
4 Zhai, Qilong
4 Zhong, Liuqiang
3 Barajas-Solano, David A.
3 Chen, Minghua
3 Chen, Yanping
3 Cheung, Siu Wun
3 Cho, Heyrim
3 Constantine, Paul G.
3 Cortés López, Juan Carlos
3 Després, Bruno
3 Du, Ning
3 Duan, Jinqiao
3 Fang, Zhiwei
3 Girolami, Mark A.
3 Glaws, Andrew
3 Gu, Yiqi
3 Hampton, Jerrad
3 He, Yinnian
3 Huang, Yunqing
3 Kaiser, Eurika
3 Kim, Chongam
3 Li, Jian
3 Lin, Tao
3 Lu, Linzhang
3 Lü, Zhenzhou
3 Ma, Jie
3 Nair, Prasanth B.
...and 1,054 more Authors
all top 5

Cited in 128 Serials

163 Journal of Computational Physics
41 Computer Methods in Applied Mechanics and Engineering
39 Journal of Computational and Applied Mathematics
39 Journal of Scientific Computing
20 Computers & Mathematics with Applications
20 SIAM Journal on Scientific Computing
16 SIAM/ASA Journal on Uncertainty Quantification
14 Applied Numerical Mathematics
11 Computers and Fluids
11 Applied Mathematics and Computation
11 Multiscale Modeling & Simulation
9 Communications in Computational Physics
8 Numerical Methods for Partial Differential Equations
8 Computational Geosciences
7 Numerical Algorithms
6 Journal of Fluid Mechanics
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Mathematics of Computation
4 International Journal for Numerical Methods in Engineering
4 Computational Mechanics
4 SIAM Journal on Applied Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Advances in Applied Mathematics and Mechanics
3 Physica D
3 Applied Mathematics Letters
3 Applied Mathematical Modelling
3 Advances in Computational Mathematics
3 Mathematical Problems in Engineering
3 Chaos
3 Communications in Nonlinear Science and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
3 SIAM Journal on Applied Dynamical Systems
3 Statistics and Computing
3 Communications on Applied Mathematics and Computation
2 Computer Physics Communications
2 Journal of the Franklin Institute
2 Journal of Mathematical Analysis and Applications
2 Physica A
2 Bulletin of Mathematical Biology
2 Chaos, Solitons and Fractals
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 Optimal Control Applications & Methods
2 Computational Statistics
2 Nonlinear Dynamics
2 Archives of Computational Methods in Engineering
2 Acta Mathematica Scientia. Series B. (English Edition)
2 International Journal of Computational Methods
2 International Journal of Numerical Analysis and Modeling
2 Engineering Optimization
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Agricultural, Biological, and Environmental Statistics
2 Journal of Theoretical Biology
2 Mathematical Sciences
2 Sampling Theory, Signal Processing, and Data Analysis
1 Acta Mechanica
1 Inverse Problems
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Wave Motion
1 BIT
1 Calcolo
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Journal of Statistical Planning and Inference
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Mathematica Numerica Sinica
1 Revista Colombiana de Estadística
1 Journal of Computational Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Integral Equations and Applications
1 Neural Networks
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 Engineering Analysis with Boundary Elements
1 Bernoulli
1 Journal of Mathematical Chemistry
1 Differential Equations and Dynamical Systems
1 Abstract and Applied Analysis
1 Optimization Methods & Software
1 Fractional Calculus & Applied Analysis
1 Journal of Applied Statistics
1 Journal of Biological Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Quantitative Finance
...and 28 more Serials
all top 5

Cited in 36 Fields

425 Numerical analysis (65-XX)
235 Partial differential equations (35-XX)
170 Fluid mechanics (76-XX)
107 Statistics (62-XX)
92 Probability theory and stochastic processes (60-XX)
83 Computer science (68-XX)
29 Mechanics of deformable solids (74-XX)
28 Biology and other natural sciences (92-XX)
24 Optics, electromagnetic theory (78-XX)
22 Real functions (26-XX)
22 Dynamical systems and ergodic theory (37-XX)
17 Ordinary differential equations (34-XX)
17 Statistical mechanics, structure of matter (82-XX)
17 Geophysics (86-XX)
15 Systems theory; control (93-XX)
14 Approximations and expansions (41-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
10 Special functions (33-XX)
10 Operations research, mathematical programming (90-XX)
10 Information and communication theory, circuits (94-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
5 Mechanics of particles and systems (70-XX)
5 Classical thermodynamics, heat transfer (80-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Operator theory (47-XX)
1 Combinatorics (05-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year