Numerical Analysis and Scientific Computing

[1] 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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[2] 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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[3] 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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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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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[9] 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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[10] 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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[11] 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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[12] 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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[13] 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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[14] 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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[15] 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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[16] 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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[17] 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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[18] 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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[19] 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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[20] Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System

Xin Liu Department of Mathematics, Southern University of Science and Technology, Shenzhen, 518055,China, and Numerical Environmental Prediction Section, Canadian Meteorological Centre, Environ-ment and Climate Change Canada, Dorval, QC, H9P 1J3, Canada Xin Chen Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China, and De-partment of Mathematics, Southern University of Science and Technology, Shenzhen, 518055, China Shi Jin School of Mathematical Sciences, Institute of Natural Sciences, MOE-LSC, Shanghai Jiao TongUniversity, Shanghai, 200240, China Alexander Kurganov Department of Mathematics and SUSTech International Center for Mathematics, Southern Uni-versity of Science and Technology, Shenzhen, 518055, China Tong Wu Mathematics Department, Tulane University, New Orleans, LA 70118 Hui Yu Yau Mathematical Science Center, Tsinghua University, Beijing, 100084, China

Numerical Analysis and Scientific Computing mathscidoc:2205.25018

SIAM Journal on Scientific Computing, 42, (4), A2206-A2229, 2020.7
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[21] Positivity-preserving third order DG schemes for Poisson–Nernst–Planck equations

Hailiang Liu Iowa State University, Department of Mathematics, Ames, IA 50011, USA Zhongming Wang Florida International University, Department of Mathematics and Statistics, Miami, FL 33199, USA Peimeng Yin Wayne State University, Department of Mathematics, Detroit, MI 48202, USA Hui Yu Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China; Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China

Numerical Analysis and Scientific Computing mathscidoc:2205.25017

Journal of Computational Physics, 452, (1), 110777, 2022.3
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[22] Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation

Weizhu Bao Department of Mathematics, National University of Singapore, Singapore 119076 Rémi Carles CNRS, IRMAR, Universit ́e de Rennes 1 & ENS Rennes, France Chunmei Su epartment of Mathematics, University of Innsbruck, Innsbruck 6020,Austria Qinglin Tang hool of Mathematics, State Key Laboratory of Hydraulics andMountain River Engineering, Sichuan University, Chengdu 610064, People’s Republic of China

Numerical Analysis and Scientific Computing mathscidoc:2205.25016

SIAM Journal on Numerical Analysis, 57, (2), 657-680, 2019.3
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[23] A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime

Weizhu Bao Department of Mathematics, National University of Singapore, Singapore 119076 Chunmei Su Beijing Computational Science Research Center, Beijing 100193,China, and Department of Mathematics, National University of Singapore, Singapore 119076

Numerical Analysis and Scientific Computing mathscidoc:2205.25015

SIAM Journal on Scientific Computing, 40, (2), A929-A953, 2018.3
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[24] A Lawson-type exponential integrator for the Korteweg–de Vries equation

Alexander Ostermann University of Innsbruck , 6020 Innsbruck, Austria Chunmei Su University of Innsbruck , 6020 Innsbruck, Austria

Numerical Analysis and Scientific Computing mathscidoc:2205.25014

IMA Journal of Numerical Analysis, 40, (4), 2399–2414, 2020.10
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[25] Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime

Weizhu Bao Department of Mathematics, National University of Singapore, Singapore 119076 Chunmei Su Beijing Computational Science Research Center, Beijing 100193, China; and Department of Mathemat- ics, National University of Singapore, Singapore 119076

Numerical Analysis and Scientific Computing mathscidoc:2205.25013

Mathematics of Computation, 2017.11
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