Edit Profile (opens in new tab) Lin, Guang Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1408.76428Yang, Xiu; Choi, Minseok; Lin, Guang; Karniadakis, George Em 46 2012 Multi-output separable Gaussian process: towards an efficient, fully Bayesian paradigm for uncertainty quantification. Zbl 1349.76760Bilionis, Ilias; Zabaras, Nicholas; Konomi, Bledar A.; Lin, Guang 44 2013 Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu 36 2014 A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. Zbl 1295.65114Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah 28 2015 Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements. Zbl 1320.76003Bright, Ido; Lin, Guang; Kutz, J. Nathan 26 2013 Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. Zbl 1408.65065Xu, Zhiliang; Liu, Yingjie; Du, Huijing; Lin, Guang; Shu, Chi-Wang 22 2011 Error analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1382.65326Sun, Yuzhou; Sun, Pengtao; Zheng, Bin; Lin, Guang 19 2016 Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267Zhang, Sheng; Lin, Guang 18 2018 The stochastic piston problem. Zbl 1135.76334Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E. 17 2004 Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids. Zbl 1263.65006Lin, G.; Tartakovsky, A. M.; Tartakovsky, D. M. 16 2010 Enhancing sparsity of Hermite polynomial expansions by iterative rotations. Zbl 1351.60041Yang, Xiu; Lei, Huan; Baker, Nathan A.; Lin, Guang 15 2016 Predicting shock dynamics in the presence of uncertainties. Zbl 1146.76613Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E. 15 2006 On application of the weak Galerkin finite element method to a two-phase model for subsurface flow. Zbl 1381.76168Ginting, Victor; Lin, Guang; Liu, Jiangguo 14 2016 Numerical studies of the stochastic Korteweg-de Vries equation. Zbl 1089.65010Lin, Guang; Grinberg, Leopold; Karniadakis, George Em 13 2006 Finite element method for two-sided fractional differential equations with variable coefficients: Galerkin approach. Zbl 1416.65268Hao, Zhaopeng; Park, Moongyu; Lin, Guang; Cai, Zhiqiang 12 2019 Stochastic modeling of random roughness in shock scattering problems: theory and simulations. Zbl 1194.76099Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E. 12 2008 A second-order difference scheme for the time fractional substantial diffusion equation. Zbl 1351.26014Hao, Zhaopeng; Cao, Wanrong; Lin, Guang 11 2017 Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Zbl 1433.65211Hao, Zhaopeng; Lin, Guang; Zhang, Zhongqiang 11 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 1388.65134Meng, Da; Zheng, Bin; Lin, Guang; Sushko, Maria L. 10 2014 An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling. Zbl 1349.65025Li, Weixuan; Lin, Guang; Zhang, Dongxiao 10 2014 Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice. Zbl 1349.62133Li, 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 1339.92024Lei, 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 1352.65634Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang 9 2015 Numerical studies of three-dimensional stochastic Darcy’s equation and stochastic advection-diffusion-dispersion equation. Zbl 1203.65019Lin, Guang; Tartakovsky, A. M. 9 2010 ConvPDE-UQ: convolutional neural networks with quantified uncertainty for heterogeneous elliptic partial differential equations on varied domains. Zbl 1457.65245Winovich, Nick; Ramani, Karthik; Lin, Guang 9 2019 Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows. Zbl 1453.76131Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 9 2020 Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107Wang, Yingwei; Hao, Wenrui; Lin, Guang 8 2018 Selection of polynomial chaos bases via Bayesian model uncertainty methods with applications to sparse approximation of PDEs with stochastic inputs. Zbl 1349.62080Karagiannis, Georgios; Lin, Guang 7 2014 An adaptive importance sampling algorithm for Bayesian inversion with multimodal distributions. Zbl 1349.62025Li, Weixuan; Lin, Guang 7 2015 Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007Li, Jichun; Fang, Zhiwei; Lin, Guang 6 2018 An adaptive ANOVA-based data-driven stochastic method for elliptic PDEs with random coefficient. Zbl 1388.65178Zhang, 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 1367.62244Liang, Faming; Cheng, Yichen; Lin, Guang 5 2014 Gaussian process surrogates for failure detection: a Bayesian experimental design approach. Zbl 1349.62360Wang, Hongqiao; Lin, Guang; Li, Jinglai 5 2016 A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Zbl 1404.65290Chen, Luoping; Zheng, Bin; Lin, Guang; Voulgarakis, Nikolaos 4 2017 Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. Zbl 1349.65684Liao, Qifeng; Lin, Guang 4 2016 A mixed upwind/central WENO scheme for incompressible two-phase flows. Zbl 1452.76154Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 4 2019 Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model. Zbl 07506632Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 4 2020 Numerical solution of the Stratonovich- and Ito-Euler equations: application to the stochastic piston problem. Zbl 1286.35282Zhang, Zhongqiang; Yang, Xiu; Lin, Guang; Karniadakis, George Em 3 2013 Rare-event simulation for the stochastic Korteweg-de Vries equation. Zbl 1337.60140Xu, Gongjun; Lin, Guang; Liu, Jingchen 3 2014 A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong 3 2017 A discontinuous Galerkin method for two-temperature plasmas. Zbl 1175.76102Lin, Guang; Karniadakis, George Em 3 2006 A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change. Zbl 07524791Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 3 2022 Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients. Zbl 1465.65003Xu, Zhijie; Tipireddy, Ramakrishna; Lin, Guang 2 2016 Analysis of a stage-structured dengue model. Zbl 1404.92180Fang, Jinping; Lin, Guang; Wan, Hui 2 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 1390.82065Lin, Guang; Bao, Jie; Xu, Zhijie 2 2014 A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion. Zbl 1352.86013Li, Jinglai; Lin, Guang; Yang, Xu 2 2015 A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. Zbl 07161476Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin 2 2020 Sensitivity analysis and stochastic simulations of non-equilibrium plasma flow. Zbl 1176.76109Lin, Guang; Karniadakis, G. E. 2 2009 Optimal observations-based retrieval of topography in 2D shallow water equations using PC-EnKF. Zbl 1451.62165Wang, Yuepeng; Hu, Kun; Ren, Lanlan; Lin, Guang 2 2019 A consistent and conservative phase-field method for multiphase incompressible flows. Zbl 1491.76048Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 2 2022 Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems. Zbl 07506521Esquivel, Hugo; Prakash, Arun; Lin, Guang 2 2021 An \(hp\)-adaptive minimum action method based on a posteriori error estimate. Zbl 1499.65025Wan, Xiaoliang; Zheng, Bin; Lin, Guang 1 2018 Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems. Zbl 1472.65012Esquivel, Hugo; Prakash, Arun; Lin, Guang 1 2021 POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study. Zbl 1397.86018Zhang, Zhongqiang; Yang, Xiu; Lin, Guang 1 2016 A generalized multi-fidelity simulation method using sparse polynomial chaos expansion. Zbl 1469.65023Man, Jun; Lin, Guang; Yao, Yijun; Zeng, Lingzao 1 2021 Parallel and interacting stochastic approximation annealing algorithms for global optimisation. Zbl 1384.65002Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang; Liang, Faming 1 2017 A phase-field model coupled with lattice kinetics solver for modeling crystal growth in furnaces. Zbl 1373.82095Lin, 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 1376.86005Karagiannis, Georgios; Lin, Guang 1 2017 A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow. Zbl 1349.76472Hao, Wenrui; Xu, Zhiliang; Liu, Chun; Lin, Guang 1 2015 Full scale multi-output Gaussian process emulator with nonseparable auto-covariance functions. Zbl 1349.60059Zhang, Bohai; Konomi, Bledar A.; Sang, Huiyan; Karagiannis, Georgios; Lin, Guang 1 2015 Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF. Zbl 1405.65130Wang, Yuepeng; Cheng, Yue; Zhang, Zongyuan; Lin, Guang 1 2018 Assessing the effects of modeling the spectrum of clinical symptoms on the dynamics and control of Ebola. Zbl 1409.92251Ponce, Joan; Zheng, Yiqiang; Lin, Guang; Feng, Zhilan 1 2019 Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388Xu, Zhiliang; Lin, Guang 1 2009 Sparsity-promoting elastic net method with rotations for high-dimensional nonlinear inverse problem. Zbl 1440.65065Wang, 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 1451.93166Chen, Tehuan; Ren, Zhigang; Lin, Guang; Wu, Zongze; Ye, Bao-Lin 1 2020 A low-rank approximated multiscale method for PDEs with random coefficients. Zbl 1453.65435Ou, Na; Lin, Guang; Jiang, Lijian 1 2020 Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238Deng, Yixiang; Lin, Guang; Yang, Xiu 1 2020 Feasibility of DEIM for retrieving the initial field via dimensionality reduction. Zbl 07500740Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang 1 2021 A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows. Zbl 07508530Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 1 2021 SubTSBR to tackle high noise and outliers for data-driven discovery of differential equations. Zbl 07511413Zhang, Sheng; Lin, Guang 1 2021 Bayesian sparse learning with preconditioned stochastic gradient MCMC and its applications. Zbl 07511680Wang, Yating; Deng, Wei; Lin, Guang 1 2021 A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change. Zbl 07524791Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 3 2022 A consistent and conservative phase-field method for multiphase incompressible flows. Zbl 1491.76048Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 2 2022 Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems. Zbl 07506521Esquivel, Hugo; Prakash, Arun; Lin, Guang 2 2021 Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems. Zbl 1472.65012Esquivel, Hugo; Prakash, Arun; Lin, Guang 1 2021 A generalized multi-fidelity simulation method using sparse polynomial chaos expansion. Zbl 1469.65023Man, Jun; Lin, Guang; Yao, Yijun; Zeng, Lingzao 1 2021 Feasibility of DEIM for retrieving the initial field via dimensionality reduction. Zbl 07500740Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang 1 2021 A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows. Zbl 07508530Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 1 2021 SubTSBR to tackle high noise and outliers for data-driven discovery of differential equations. Zbl 07511413Zhang, Sheng; Lin, Guang 1 2021 Bayesian sparse learning with preconditioned stochastic gradient MCMC and its applications. Zbl 07511680Wang, Yating; Deng, Wei; Lin, Guang 1 2021 Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Zbl 1433.65211Hao, Zhaopeng; Lin, Guang; Zhang, Zhongqiang 11 2020 Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows. Zbl 1453.76131Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 9 2020 Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model. Zbl 07506632Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 4 2020 A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. Zbl 07161476Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin 2 2020 Real-time computational optimal control of an MHD flow system with parameter uncertainty quantification. Zbl 1451.93166Chen, Tehuan; Ren, Zhigang; Lin, Guang; Wu, Zongze; Ye, Bao-Lin 1 2020 A low-rank approximated multiscale method for PDEs with random coefficients. Zbl 1453.65435Ou, Na; Lin, Guang; Jiang, Lijian 1 2020 Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238Deng, Yixiang; Lin, Guang; Yang, Xiu 1 2020 Finite element method for two-sided fractional differential equations with variable coefficients: Galerkin approach. Zbl 1416.65268Hao, Zhaopeng; Park, Moongyu; Lin, Guang; Cai, Zhiqiang 12 2019 ConvPDE-UQ: convolutional neural networks with quantified uncertainty for heterogeneous elliptic partial differential equations on varied domains. Zbl 1457.65245Winovich, Nick; Ramani, Karthik; Lin, Guang 9 2019 A mixed upwind/central WENO scheme for incompressible two-phase flows. Zbl 1452.76154Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. 4 2019 Optimal observations-based retrieval of topography in 2D shallow water equations using PC-EnKF. Zbl 1451.62165Wang, Yuepeng; Hu, Kun; Ren, Lanlan; Lin, Guang 2 2019 Assessing the effects of modeling the spectrum of clinical symptoms on the dynamics and control of Ebola. Zbl 1409.92251Ponce, Joan; Zheng, Yiqiang; Lin, Guang; Feng, Zhilan 1 2019 Sparsity-promoting elastic net method with rotations for high-dimensional nonlinear inverse problem. Zbl 1440.65065Wang, Yuepeng; Ren, Lanlan; Zhang, Zongyuan; Lin, Guang; Xu, Chao 1 2019 Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267Zhang, Sheng; Lin, Guang 18 2018 Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107Wang, Yingwei; Hao, Wenrui; Lin, Guang 8 2018 Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007Li, Jichun; Fang, Zhiwei; Lin, Guang 6 2018 Analysis of a stage-structured dengue model. Zbl 1404.92180Fang, Jinping; Lin, Guang; Wan, Hui 2 2018 An \(hp\)-adaptive minimum action method based on a posteriori error estimate. Zbl 1499.65025Wan, Xiaoliang; Zheng, Bin; Lin, Guang 1 2018 Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF. Zbl 1405.65130Wang, Yuepeng; Cheng, Yue; Zhang, Zongyuan; Lin, Guang 1 2018 A second-order difference scheme for the time fractional substantial diffusion equation. Zbl 1351.26014Hao, Zhaopeng; Cao, Wanrong; Lin, Guang 11 2017 A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Zbl 1404.65290Chen, Luoping; Zheng, Bin; Lin, Guang; Voulgarakis, Nikolaos 4 2017 A high-order difference scheme for the fractional sub-diffusion equation. Zbl 1364.65164Hao, Zhao-Peng; Lin, Guang; Sun, Zhi-Zhong 3 2017 Parallel and interacting stochastic approximation annealing algorithms for global optimisation. Zbl 1384.65002Karagiannis, 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 1376.86005Karagiannis, Georgios; Lin, Guang 1 2017 Error analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1382.65326Sun, Yuzhou; Sun, Pengtao; Zheng, Bin; Lin, Guang 19 2016 Enhancing sparsity of Hermite polynomial expansions by iterative rotations. Zbl 1351.60041Yang, 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 1381.76168Ginting, Victor; Lin, Guang; Liu, Jiangguo 14 2016 Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice. Zbl 1349.62133Li, Weixuan; Lin, Guang; Li, Bing 10 2016 Gaussian process surrogates for failure detection: a Bayesian experimental design approach. Zbl 1349.62360Wang, Hongqiao; Lin, Guang; Li, Jinglai 5 2016 Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs. Zbl 1349.65684Liao, Qifeng; Lin, Guang 4 2016 Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients. Zbl 1465.65003Xu, Zhijie; Tipireddy, Ramakrishna; Lin, Guang 2 2016 POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study. Zbl 1397.86018Zhang, Zhongqiang; Yang, Xiu; Lin, Guang 1 2016 A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. Zbl 1295.65114Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah 28 2015 Constructing surrogate models of complex systems with enhanced sparsity: quantifying the influence of conformational uncertainty in biomolecular solvation. Zbl 1339.92024Lei, 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 1352.65634Karagiannis, Georgios; Konomi, Bledar A.; Lin, Guang 9 2015 An adaptive importance sampling algorithm for Bayesian inversion with multimodal distributions. Zbl 1349.62025Li, Weixuan; Lin, Guang 7 2015 A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion. Zbl 1352.86013Li, 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 1349.76472Hao, Wenrui; Xu, Zhiliang; Liu, Chun; Lin, Guang 1 2015 Full scale multi-output Gaussian process emulator with nonseparable auto-covariance functions. Zbl 1349.60059Zhang, Bohai; Konomi, Bledar A.; Sang, Huiyan; Karagiannis, Georgios; Lin, Guang 1 2015 Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu 36 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 1388.65134Meng, Da; Zheng, Bin; Lin, Guang; Sushko, Maria L. 10 2014 An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling. Zbl 1349.65025Li, 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 1349.62080Karagiannis, Georgios; Lin, Guang 7 2014 An adaptive ANOVA-based data-driven stochastic method for elliptic PDEs with random coefficient. Zbl 1388.65178Zhang, 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 1367.62244Liang, Faming; Cheng, Yichen; Lin, Guang 5 2014 Rare-event simulation for the stochastic Korteweg-de Vries equation. Zbl 1337.60140Xu, 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 1390.82065Lin, Guang; Bao, Jie; Xu, Zhijie 2 2014 A phase-field model coupled with lattice kinetics solver for modeling crystal growth in furnaces. Zbl 1373.82095Lin, 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 1349.76760Bilionis, Ilias; Zabaras, Nicholas; Konomi, Bledar A.; Lin, Guang 44 2013 Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements. Zbl 1320.76003Bright, Ido; Lin, Guang; Kutz, J. Nathan 26 2013 Numerical solution of the Stratonovich- and Ito-Euler equations: application to the stochastic piston problem. Zbl 1286.35282Zhang, Zhongqiang; Yang, Xiu; Lin, Guang; Karniadakis, George Em 3 2013 Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. Zbl 1408.76428Yang, Xiu; Choi, Minseok; Lin, Guang; Karniadakis, George Em 46 2012 Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. Zbl 1408.65065Xu, 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 1263.65006Lin, 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 1203.65019Lin, Guang; Tartakovsky, A. M. 9 2010 Sensitivity analysis and stochastic simulations of non-equilibrium plasma flow. Zbl 1176.76109Lin, Guang; Karniadakis, G. E. 2 2009 Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388Xu, Zhiliang; Lin, Guang 1 2009 Stochastic modeling of random roughness in shock scattering problems: theory and simulations. Zbl 1194.76099Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E. 12 2008 Predicting shock dynamics in the presence of uncertainties. Zbl 1146.76613Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E. 15 2006 Numerical studies of the stochastic Korteweg-de Vries equation. Zbl 1089.65010Lin, Guang; Grinberg, Leopold; Karniadakis, George Em 13 2006 A discontinuous Galerkin method for two-temperature plasmas. Zbl 1175.76102Lin, Guang; Karniadakis, George Em 3 2006 The stochastic piston problem. Zbl 1135.76334Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E. 17 2004 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year