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\vieww21680\viewh12300\viewkind0 \deftab720 \pard\pardeftab720\partightenfactor0 \f0\b\fs48 \cf2 \expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Welcome to LIU Liu\'92s Homepage! \f1\b0 \ \pard\pardeftab720\partightenfactor0 \fs28 \cf3 \uc0\u8232 \ \pard\pardeftab720\sa240\partightenfactor0 \fs36 \cf3 I am an Assistant Professor at Department of Mathematics of The Chinese University of Hong Kong.\'a0 \ \pard\pardeftab720\partightenfactor0 \cf3 Together with my colleagues, I am co-hosting the applied math seminar series this semester (Spring 2022-23), please refer to the link below: \ https://sites.google.com/view/mathcuhk01appliedmathseminar/home. \ \uc0\u8232 \u8232 \ \pard\pardeftab720\sa240\partightenfactor0 \f0\b \cf4 \strokec4 Research Interests:\'a0 \f1\b0 \cf3 \strokec3 My research interest lies in applied numerical analysis and scientific computation. I have conducted research in kinetic theory, uncertainty quantification, quantum dynamics, have developed efficient numerical schemes for complex multiscale problems and model reduction methods for high-dimensional problems. I am currently interested in data-driven methods, deep learning and inverse problems in statistical physics.\'a0 \ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \uc0\u8232 \ \pard\pardeftab720\sa240\partightenfactor0 \f0\b \cf4 \strokec4 Education: \f1\b0 \cf3 \strokec3 I earned my doctorate degree of Mathematics at University of Wisconsin-Madison (2012-2017). Prior to that, I received the Bachelor degree (First Honour) in Applied and Computational Mathematics at Hong Kong Baptist University (2008-2012).\'a0\ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \uc0\u8232 \ \pard\pardeftab720\sa240\partightenfactor0 \f0\b \cf4 \strokec4 Working Experience: \f1\b0 \cf3 \strokec3 Before joining CUHK in July 2020, I was a Peter O'Donnell, Jr. Postdoc and instructor at Oden ICES and Department of Mathematics of University of Texas at Austin from 2017-2020.\'a0\ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\pardeftab720\sa240\partightenfactor0 \cf3 \uc0\u8232 \f0\b \cf4 \strokec4 Fundings and Awards:\'a0 \f1\b0 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\sa240\partightenfactor0 \ls1\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Early Career Scheme (24301021) awarded by Research Grants Council of Hong Kong, 2021 (PI)\ \ls1\ilvl0\kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Direct Grants (171365642), Research Committee of CUHK, 2021 (PI)\ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls1\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 National Key R&D Program of China (2021YFA1001200), Ministry of Science and Technology, China, 2021 (co-I)\ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls2\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 General Research Fund (14303022), Research Grants Council of Hong Kong, 2022 (PI)\ \pard\pardeftab720\partightenfactor0 \fs28 \cf3 \uc0\u8232 \ \uc0\u8232 \ \pard\pardeftab720\sa240\partightenfactor0 \f0\b\fs36 \cf4 \strokec4 Publications:\'a0 \f1\b0 \ \pard\pardeftab720\sa240\partightenfactor0 \f2\i\b\fs34 \cf5 \strokec3 Refereed Journals:\'a0 \f1\i0\b0 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls3\ilvl0 \fs32 \cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Shi Jin, Liu Liu, {\field{\*\fldinst{HYPERLINK "https://epubs.siam.org/doi/10.1137/15M1053463"}}{\fldrslt \f3\i \cf6 \ul \ulc6 \strokec6 An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings}} \f3\i , \f1\i0 SIAM Multiscale Modeling and Simulation, 15 (1), 157-183, 2017.\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls4\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Zheng Chen, Liu Liu, Lin Mu,{\field{\*\fldinst{HYPERLINK "https://link.springer.com/article/10.1007/s10915-017-0439-2"}}{\fldrslt \cf6 \ul \ulc6 \strokec6 \f3\i DG-IMEX Stochastic Galerkin schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings}} \f3\i , \f1\i0 Journal of Scientific Computing (a special issue in honor of the 60th birthday of Chi Wang Shu), 73 (2), 566-592, 2017.\ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls5\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, {\field{\*\fldinst{HYPERLINK "http://aimsciences.org/article/doi/10.3934/krm.2018044"}}{\fldrslt \f3\i \cf6 \ul \ulc6 \strokec6 Uniform Spectral Convergence of the Stochastic Galerkin Method for the Linear Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings \f1\i0 , }}Kinetic and Related Models, 11 (5), 1139-1156, 2018.\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls6\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, {\field{\*\fldinst{HYPERLINK "https://search.library.wisc.edu/catalog/9912437349302121"}}{\fldrslt \f3\i \cf6 \ul \ulc6 \strokec6 Uncertainty Quantification for Multiscale Kinetic Equations and Quantum Dynamics \f1\i0 ,\'a0}}University of Wisconsin-Madison, 2017.\'a0\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls7\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, Shi Jin,{\field{\*\fldinst{HYPERLINK "https://epubs.siam.org/doi/10.1137/17M1151730"}}{\fldrslt \cf6 \ul \ulc6 \strokec6 \f3\i Hypocoercivity based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs \f1\i0 ,}} SIAM Multiscale Modeling and Simulation, 16 (3), 1085-1114, 2018.\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls8\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, {\field{\*\fldinst{HYPERLINK "https://www.sciencedirect.com/science/article/pii/S0021999118306582"}}{\fldrslt \f3\i \cf6 \ul \ulc6 \strokec6 A Stochastic Asymptotic-preserving Scheme for the Bipolar Semiconductor Boltzmann- Poisson System with Random Inputs and Diffusive Scalings \f1\i0 ,}} Journal of Computational Physics, 376, 634-659, 2019.\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls9\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Irene M. Gamba, Shi Jin, Liu Liu, {\field{\*\fldinst{HYPERLINK "https://www.sciencedirect.com/science/article/pii/S0021999119300439"}}{\fldrslt \f3\i \cf6 \ul \ulc6 \strokec6 Micro-macro Decomposition based Asymptotic-preserving Numerical Schemes and Numerical Moment Conservations for Collisional Nonlinear Kinetic Equations, \f1\i0 }}Journal of Computational Physics, 382, 264-290, 2019.\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls10\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, Marlies Pirner, \f3\i \cf7 {\field{\*\fldinst{HYPERLINK "https://www.sciencedirect.com/science/article/pii/S0022039619300142"}}{\fldrslt \cf8 \ul \ulc8 \strokec6 Hypocoercivity for a BGK Model for Gas Mixtures}} \f1\i0 \cf3 , Journal of Differential Equations, 267, 119-149, 2019.\'a0\ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls11\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Esther S. Daus, Shi Jin, Liu Liu,{\field{\*\fldinst{HYPERLINK "http://aimsciences.org/article/doi/10.3934/krm.2019034"}}{\fldrslt \cf6 \ul \ulc6 \strokec6 \f3\i Spectral Convergence of the Stochastic Galerkin Approximation to the Boltzmann Equation with Multiple Scales and Large Random Perturbation in the Collision Kernel,}} Kinetic and Related Models, 12(4), 909-922, 2019.\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls12\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Irene M. Gamba, Shi Jin, Liu Liu,{\field{\*\fldinst{HYPERLINK "https://intlpress.com/site/pub/pages/journals/items/cms/content/vols/0017/0005/a005/index.php"}}{\fldrslt \cf6 \ul \ulc6 \strokec6 \f3\i Asymptotic-preserving Schemes for Two-species Binary Collisional Kinetic System with Disparate Masses I: Time Discretization and Asymptotic Analysis, \f1\i0 }}Comm. Math. Sci. (a special issue in memory of David Cai), 17(5), 1257-1289, 2019.\'a0\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls13\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Shi Jin, Liu Liu, Giovanni Russo, Zhennan Zhou, {\field{\*\fldinst{HYPERLINK "https://www.sciencedirect.com/science/article/pii/S0021999119307211?dgcid=rss_sd_all"}}{\fldrslt \f3\i \cf6 \ul \ulc6 \strokec6 Gaussian Wave Packet Transform based Numerical Scheme for the Semiclassical Schrodinger Equation with Random Inputs, }}Journal of Computational Physics, 401, 109015, 2020.\'a0\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls14\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, Xueyu Zhu,\'a0{\field{\*\fldinst{HYPERLINK "https://www.sciencedirect.com/science/article/pii/S0021999119306199?via%3Dihub"}}{\fldrslt \f3\i \cf6 \ul \ulc6 \strokec6 A Bi-fidelity Method for the Boltzmann Equation with Random Parameters and Multiple Scales,\'a0}}Journal of Computational Physics, 402, 108914, 2020.\'a0\cf6 \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls15\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Nicolas Crouseilles, Shi Jin,\'a0Liu Liu, Mohammed Lemou,\cf7 \'a0{\field{\*\fldinst{HYPERLINK "https://arxiv.org/pdf/1704.01019.pdf"}}{\fldrslt \f3\i \cf8 \ul \ulc8 \strokec6 Nonlinear Geometric Optics Based Multiscale Stochastic Galerkin Methods for Highly Oscillatory Transport Equations with Random Inputs\cf6 \ulc6 , \f1\i0 \'a0}}\cf3 ESAIM. Mathematical Modelling and Numerical Analysis, 54(6), 1849-1882, 2020. \'a0\strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls16\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Irene M. Gamba,\'a0Shi Jin,\'a0Liu Liu,\cf9 \'a0{\field{\*\fldinst{HYPERLINK "https://arxiv.org/pdf/1910.09080.pdf"}}{\fldrslt \f3\i \cf7 \ul \ulc7 \strokec6 Error Estimate of the Bi-fidelity Method for Kinetic Equations with Random Parameters and Different Scalings\cf8 \ulc8 ,}} \f3\i \cf3 \'a0 \f1\i0 International Journal for Uncertainty Quantification, 11, 57-75, 2021. \strokec6 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls17\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Esther S. Daus, Shi Jin, Liu Liu, \f3\i \cf7 {\field{\*\fldinst{HYPERLINK "https://arxiv.org/abs/1909.01231"}}{\fldrslt \cf8 \ul \ulc8 \strokec6 On the Multi-species Boltzmann Equation\'a0with Uncertainty\'a0and its Stochastic Galerkin Approximation,}} \f1\i0 \cf3 ESAIM. Mathematical Modelling and Numerical Analysis, 55, 1323-1345, 2021. \ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls18\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Zheng Chen, Liu Liu, Lin Mu, \f3\i \cf7 \ul \ulc7 Solving the Linear Transport Equation by a Deep Neural Network Approach \f1\i0 \cf3 \ulnone , Discrete and Continuous Dynamical Systems, Series S, 15 (4), 669-686, 2022. \ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls19\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, Lorenzo Pareschi, Xueyu Zhu, \f3\i \cf7 \ul \ulc7 A Bi-fidelity Stochastic Collocation Method for Transport Equations with Diffusive Scaling and Multi-dimensional Random Inputs\cf3 \ulnone , \f1\i0 Journal of Computational Physics, 462, 111252, 2022. \cf7 \ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls20\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Guilia Bertaglia, Liu Liu, Lorenzo Pareschi, Xueyu Zhu, \f3\i \cf7 \ul \ulc7 Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties \f1\i0 \cf3 \ulnone , Networks and Heterogeneous Media, 17 (3), 2022. \ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls21\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Giacomo Dimarco, Liu Liu, Lorenzo Pareschi, Xueyu Zhu, \f3\i \cf7 \ul \ulc7 Multi-fidelity methods for uncertainty propagation in kinetic equations \f1\i0 \cf3 \ulnone , Panoramas & Synth\'e8ses, Soci\'e9t\'e9 Math\'e9matique de France, in press. \ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls22\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, \f3\i \cf10 \ul \ulc10 \strokec7 A study of multiscale kinetic models with uncertainties \f1\i0 \ulnone \strokec3 ,\cf3 Book chapter of SEMA SIMAI Springer Series, in press. \ \pard\pardeftab720\partightenfactor0 \cf3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls23\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, Kunlun Qi, \f3\i \cf11 \ul \ulc11 \strokec11 Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties, \f1\i0 \cf3 \ulnone \strokec3 preprint. \cf11 \strokec11 \ \pard\pardeftab720\partightenfactor0 \cf3 \strokec3 \uc0\u8232 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls24\ilvl0\cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Yating Wang, Liu Liu, \f3\i \cf11 \ul \ulc11 \strokec11 On a neural network approach for solving potential control problem of the semiclassical Schr\'f6dinger equation, \f1\i0 \cf3 \ulnone \strokec3 preprint. \cf11 \strokec11 \ \pard\pardeftab720\partightenfactor0 \fs28 \cf3 \strokec3 \uc0\u8232 \ \pard\pardeftab720\sa240\partightenfactor0 \f2\i\b\fs36 \cf5 \strokec4 \'a0Conference Proceedings:\'a0 \f1\i0\b0 \ \pard\tx220\tx720\pardeftab720\li720\fi-720\partightenfactor0 \ls25\ilvl0 \fs32 \cf3 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 {\listtext \uc0\u8226 }\expnd0\expndtw0\kerning0 \outl0\strokewidth0 \strokec3 Liu Liu, \f3\i \'a0A Bi-fidelity DG-IMEX Method for the Linear Transport Equation with Random Parameters, \f1\i0 \'a014th World Congress on Computational Mechanics (WCCM) ECCOMAS Congress, 2020.\'a0 \'a0 \fs28 \uc0\u8232 \u8232 \fs32 \ \pard\pardeftab720\sa240\partightenfactor0 \fs28 \cf2 \uc0\u8232 \ \pard\pardeftab720\sa240\partightenfactor0 \f0\b \cf2 \fs36 \strokec7 For students and postdocs who are interested in working with me, you are welcome to contact me at lliu@math.cuhk.edu.hk. \f1\b0 \ \pard\pardeftab720\partightenfactor0 \fs28 \cf3 \strokec3 \uc0\u8232 \ }