Jinchao Xu

Jinchao Xu

Penn State University

H-index: 66

North America-United States

About Jinchao Xu

Jinchao Xu, With an exceptional h-index of 66 and a recent h-index of 40 (since 2020), a distinguished researcher at Penn State University, specializes in the field of Numerical analysis, multigrid, domain decomposition, finite element method, numerical methods for partial differential equation.

His recent articles reflect a diverse array of research interests and contributions to the field:

An interpretive constrained linear model for ResNet and MgNet

MgNO: Efficient parameterization of linear operators via multigrid

Integral boundary conditions in phase field models

On a Schur complement operator arisen from Navier-Stokes equations and its preconditioning

Lack of robustness and accuracy of many numerical schemes for phase-field simulations

Domain Decomposition Methods in Science and Engineering XXVI

Expressivity and Approximation Properties of Deep Neural Networks with ReLU Activation

Characterization of the variation spaces corresponding to shallow neural networks

Jinchao Xu Information

University

Position

Professor of Mathematics

Citations(all)

19491

Citations(since 2020)

6195

Cited By

16027

hIndex(all)

66

hIndex(since 2020)

40

i10Index(all)

203

i10Index(since 2020)

128

Email

University Profile Page

Penn State University

Google Scholar

View Google Scholar Profile

Jinchao Xu Skills & Research Interests

Numerical analysis

multigrid

domain decomposition

finite element method

numerical methods for partial differential equation

Top articles of Jinchao Xu

Title

Journal

Author(s)

Publication Date

An interpretive constrained linear model for ResNet and MgNet

Neural Networks

Juncai He

Jinchao Xu

Lian Zhang

Jianqing Zhu

2023/5/1

MgNO: Efficient parameterization of linear operators via multigrid

ICLR 2024

Juncai He

Xinliang Liu

Jinchao Xu

2023/10/16

Integral boundary conditions in phase field models

Computers & Mathematics with Applications

Xiaofeng Xu

Lian Zhang

Yin Shi

Long-Qing Chen

Jinchao Xu

2023/4/1

On a Schur complement operator arisen from Navier-Stokes equations and its preconditioning

Ling Shen

Jinchao Xu

2023/8/25

Lack of robustness and accuracy of many numerical schemes for phase-field simulations

Mathematical Models and Methods in Applied Sciences

Jinchao Xu

Xiaofeng Xu

2023/7/16

Domain Decomposition Methods in Science and Engineering XXVI

Randolph Bank

Michael Holst

Olof Widlund

Jinchao Xu

2013/7/3

Expressivity and Approximation Properties of Deep Neural Networks with ReLU Activation

arXiv preprint arXiv:2312.16483

Juncai He

Tong Mao

Jinchao Xu

2023/12/27

Characterization of the variation spaces corresponding to shallow neural networks

Constructive Approximation

Jonathan W Siegel

Jinchao Xu

2023/2/22

An efficient iterative method for dynamical Ginzburg-Landau equations

Journal of Computational Physics

Qingguo Hong

Limin Ma

Jinchao Xu

Longqing Chen

2023/2/1

Deep neural networks and finite elements of any order on arbitrary dimensions

arXiv preprint arXiv:2312.14276

Juncai He

Jinchao Xu

2023/12/21

FV-MgNet: Fully connected V-cycle MgNet for interpretable time series forecasting

Journal of Computational Science

Jianqing Zhu

Juncai He

Lian Zhang

Jinchao Xu

2023/5/1

Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains

Mathematics of Computation

Juan Borthagaray

Ricardo Nochetto

Shuonan Wu

Jinchao Xu

2023/11

Sharp bounds on the approximation rates, metric entropy, and n-widths of shallow neural networks

Foundations of Computational Mathematics

Jonathan W Siegel

Jinchao Xu

2022/11/9

ReLU deep neural networks from the hierarchical basis perspective

Computers & Mathematics with Applications

Juncai He

Lin Li

Jinchao Xu

2022/8/15

High-order approximation rates for shallow neural networks with cosine and ReLUk activation functions

Applied and Computational Harmonic Analysis

Jonathan W Siegel

Jinchao Xu

2022/5/1

Block triangular preconditioning for stochastic Galerkin method

Journal of Computational and Applied Mathematics

Dongwu Wang

Bin Zheng

Long Chen

Guang Lin

Jinchao Xu

2022/10/1

An extended Galerkin analysis in finite element exterior calculus

Mathematics of Computation

Qingguo Hong

Yuwen Li

Jinchao Xu

2022/5

On the activation function dependence of the spectral bias of neural networks

arXiv preprint arXiv:2208.04924

Qingguo Hong

Jonathan W Siegel

Qinyang Tan

Jinchao Xu

2022/8/9

A sharp Korn's inequality for piecewise space and its application

arXiv preprint arXiv:2207.02060

Qingguo Hong

YounJu Lee

Jinchao Xu

2022/7/5

Meta-mgnet: Meta multigrid networks for solving parameterized partial differential equations

Journal of computational physics

Yuyan Chen

Bin Dong

Jinchao Xu

2022/4/15

See List of Professors in Jinchao Xu University(Penn State University)

Co-Authors

H-index: 106
T F Chan

T F Chan

King Abdullah University of Science and Technology

H-index: 41
Michael Holst

Michael Holst

University of California, San Diego

H-index: 32
Long Chen

Long Chen

University of California, Irvine

H-index: 24
Xiaozhe Hu

Xiaozhe Hu

Tufts University

H-index: 18
Pengtao Sun

Pengtao Sun

University of Nevada, Las Vegas

H-index: 17
Constantin Bacuta

Constantin Bacuta

University of Delaware

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