Numerical Analysis and Scientific Computing

[1] Sharp Estimation Of Convergence Rate For Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems

Zhaojun Bai University of California, Davis Ren-Cang Li The University of Texas at Arlington Ding Lu University of Kentucky

Numerical Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:2309.25001

SIAM Journal on Matrix Analysis and Applications, 43, (1), 301-327, 2022.1
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[2] On Nonlinear Matrix Equations from the First Standard Form

Changli Liu Sichuan University Jungong Xue Fudan University Ren-Cang Li The University of Texas at Arlington

Numerical Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:2309.26002

Annals of Mathematical Sciences and Applications, 7, (2), 169-191, 2022.6
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[3] On Generalizing Trace Minimization Principles

Xin Liang Tsinghua University Li Wang The University of Texas at Arlington Lei-Hong Zhang Soochow University Ren-Cang Li The University of Texas at Arlington

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2309.26001

Linear Algebra and Its Applications, 656, 483-509, 2023.1
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[4] Maximizing Sum of Coupled Traces with Applications

Li Wang The University of Texas at Arlington Lei-Hong Zhang Soochow University Ren-Cang Li The University of Texas at Arlington

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control Machine Learning mathscidoc:2309.41003

Numerische Mathematik, 152, 587-629, 2022.9
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[5] Trace ratio optimization with an application to multi-view learning

Li Wang The University of Texas at Arlington Lei-Hong Zhang Soochow University Ren-Cang Li The University of Texas at Arlington

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control Machine Learning mathscidoc:2309.41002

Mathematical Programming, 201, 97-131, 2023.1
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[6] Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions

Li Wang The University of Texas at Arlington Ren-Cang Li The University of Texas at Arlington Wen-Wei Lin National Chiao Tung University

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control Machine Learning mathscidoc:2309.41001

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 34, (8), 4371-4385, 2023.8
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[7] A hybrid WENO scheme for steady-state simulations of Euler equations

Yifei Wan University of Science and Technology of China Yinhua Xia University of Science and Technology of China

Numerical Analysis and Scientific Computing mathscidoc:2208.25004

Journal of Computational Physics, 463, 111292, 2022.8
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[8] A simplified multilayer perceptron detector for the hybrid WENO scheme

Zhengyang Xue University of Science and Technology of China Yinhua Xia University of Science and Technology of China Chen Li State Key Laboratory of Aerodynamics Xianxu Yuan State Key Laboratory of Aerodynamics

Numerical Analysis and Scientific Computing mathscidoc:2208.25003

Computers and Fluids, 244, 105584, 2022.8
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[9] A new hybrid WENO scheme with the high-frequency region for hyperbolic conservation laws

Yifei Wan University of Science and Technology of China Yinhua Xia University of Science and Technology of China

Numerical Analysis and Scientific Computing mathscidoc:2208.25002

Communications on Applied Mathematics and Computation, 2021.7
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[10] Arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for KdV type equations

Xue Hong University of Science and Technology of China Yinhua Xia University of Science and Technology of China

Numerical Analysis and Scientific Computing mathscidoc:2208.25001

Communications on Applied Mathematics and Computation, 4, 530-562, 2022.6
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[11] Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University, 10027 New York, USA. Wenjia Jing D´epartement de Math´ematiques et Applications, Ecole Normale Sup´erieure, 45 Rue d’Ulm, 75230 Paris Cedex 05, France

Analysis of PDEs Numerical Analysis and Scientific Computing Probability mathscidoc:2206.03008

ESAIM: Mathematical Modelling & Numerical Analysis, 48, 387–409, 2014.3
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[12] Target Identification Using Dictionary Matching of Generalized Polarization Tensors

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Thomas Boulier Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 75205, Paris Cedex 13, France Wenjia Jing Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Hyeonbae Kang Department of Mathematics, Inha University, Incheon, 402-751, Korea Han Wang Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France

Analysis of PDEs Mathematical Physics Numerical Analysis and Scientific Computing Optimization and Control mathscidoc:2206.03006

Foundations of Computational Mathematics, 14, 27-62, 2013.9
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[13] Corrector theory for MsFEM and HMM in random media

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University, New York 10027 Wenjia Jing Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75230 ParisCedex 05, France

Numerical Analysis and Scientific Computing Probability mathscidoc:2206.25009

Multiscale Modeling & Simulation, 9, (4), 1549-1587, 2011.12
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[14] Sparse Gaussian processes for solving nonlinear PDEs

Rui Meng Lawrence Berkeley National Laboratory, Berkeley, California, USA Xianjin Yang Yau Mathematical Sciences Center, Tsinghua University, Haidian District, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China

Numerical Analysis and Scientific Computing mathscidoc:2206.25008

2022.5
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[15] Numerical methods for mean field games based on Gaussian processes and Fourier features

Chenchen Mou Department of Mathematics, City University of Hong Kong, Hong Kong, China Xianjin Yang Yau Mathematical Sciences Center, Tsinghua University, Haidian District, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Chao Zhou Department of Mathematics and Risk Management Institute, National University of Singapore, Singapore

Numerical Analysis and Scientific Computing Optimization and Control mathscidoc:2206.25007

Journal of Computational Physics, 460, (1), 111188, 2022.7
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[16] An efficient method for computing stationary states of phase field crystal models

Kai Jiang School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, P.R. China, 411105 Wei Si School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, P.R. China, 411105 Chenglong Bao Yau Mathematical Sciences Center, Tsinghua University, Beijing, P. R. China, 100084

Numerical Analysis and Scientific Computing mathscidoc:2206.25006

2019.9
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[17] Convergence analysis for iterative data-driven tight frame construction scheme

Chenglong Bao Department of Mathematics, National University of Singapore, Singapore 117543, Singapore Hui Ji Department of Mathematics, National University of Singapore, Singapore 117543, Singapore Zuowei Shen Department of Mathematics, National University of Singapore, Singapore 117543, Singapore

Numerical Analysis and Scientific Computing mathscidoc:2206.25005

Applied and Computational Harmonic Analysis, 38, (3), 510-523, 2015.5
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[18] PET-MRI Joint Reconstruction by Joint Sparsity Based Tight Frame Regularization

Jae Kyu Choi Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China Chenglong Bao Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Xiaoqun Zhang Institute of Natural Sciences, School of Mathematical Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, China

Numerical Analysis and Scientific Computing mathscidoc:2206.25004

SIAM Journal on Imaging Sciences, 11, (2), 1179-1204, 2018.5
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[19] Whole Brain Susceptibility Mapping Using Harmonic Incompatibility Removal

Chenglong Bao Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084 China Jae Kyu Choi School of Mathematical Sciences, Tongji University, Shanghai, 200092 China Bin Dong Beijing International Center for Mathematical Research and Laboratory for Biomedical Image Analysis, Beijing Institute of Big Data Research, Peking University, Beijing, 100871 China

Numerical Analysis and Scientific Computing mathscidoc:2206.25003

SIAM Journal on Imaging Sciences, 12, (1), 492-520, 2019.2
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[20] Efficient Numerical Methods for Computing the Stationary States of Phase Field Crystal Models

Kai Jiang School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan, China, 411105 Wei Si School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan, China, 411105 Chang Chen School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan, China, 411105 Chenglong Bao Yau Mathematical Sciences Center, Tsinghua University, Beijing, China, 100084

Numerical Analysis and Scientific Computing mathscidoc:2206.25002

SIAM J. SCI. COMPUT., 42, (6), 2020.11
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[21] An Adaptive Block Bregman Proximal Gradient Method for Computing Stationary States of Multicomponent Phase-Field Crystal Model

Chenglong Bao Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China; Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, China Chang Chen Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Kai Jiang School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan, 411105, China

Numerical Analysis and Scientific Computing mathscidoc:2206.25001

CSIAM Trans. Appl. Math., 3, (1), 133-171, 2022.3
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[22] High-Order Bound-Preserving Finite Difference Methods for Multispecies and Multireaction Detonations

Jie Du Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China; Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China Yang Yang Department of Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931, USA

Numerical Analysis and Scientific Computing mathscidoc:2205.25022

Communications on Applied Mathematics and Computation, 2021.4
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[23] Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations,

Jie Du Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China; Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China Eric Chung Department of Mathematics, The Chinese University of Hong Kong, Hong Kong SAR, China Yang Yang Department of Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931, USA

Numerical Analysis and Scientific Computing mathscidoc:2205.25021

Communications on Applied Mathematics and Computation, 4, 353-379, 2022.4
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[24] Discontinuous Galerkin Method with Staggered Hybridization for a Class of Nonlinear Stokes Equations

Jie Du Yau Mathematical Sciences Center, Tsinghua University, Beijing, China Eric T. Chung Department of Mathematics, The Chinese University of Hong Kong, Sha Tin, Hong Kong SAR Ming Fai Lam Department of Mathematics, The Chinese University of Hong Kong, Sha Tin, Hong Kong SAR Xiao-Ping Wang Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong SAR

Numerical Analysis and Scientific Computing mathscidoc:2205.25020

Journal of Scientific Computing, 76, 1547–1577, 2018.3
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[25] An adaptive SDG method for the Stokes system

Eric T. Chung Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, SAR, People’s Republic of China Jie Du Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, SAR, People’s Republic of China Man Chun Yuen Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, SAR, People’s Republic of China

Numerical Analysis and Scientific Computing mathscidoc:2205.25019

Journal of Scientific Computing, 70, 766-792, 2016.8
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