Numerical Analysis and Scientific Computing

[1] 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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[2] 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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[3] 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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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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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[9] 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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[10] 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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