Search Results

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  40769 3224 Pages:596-627

• New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics

  Zhikun Zhou, Xuhao Peng, Pan Wu, Ziguang Chen, Florin Bobaru

  2023-01-24

  38724 3174 Pages:1257-1286

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  47156 3442 Pages:905-929

• Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  46531 3321 Pages:1510-1529

• Convergence Analysis of PINNs with Over-Parameterization

  Mo Chen, Zhao Ding, Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2025-04-27

  237 58 Pages:942-974

• Convergence Rate Analysis for Deep Ritz Method

  Chenguang Duan, Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Jerry Zhijian Yang

  2022-03-30

  58803 3318 Pages:1020-1048

• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

  Hong-Lin Liao, William McLean, Jiwei Zhang

  2021-05-25

  54602 3509 Pages:567-601

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50564 3535 Pages:1335-1364

• Convergence Analysis for Over-Parameterized Deep Learning

  Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2024-07-29

  157 147 Pages:71-103

• Curious Convergence Properties of Lattice Boltzmann Schemes for Diffusion with Acoustic Scaling

  Bruce M. Boghosian, François Dubois, Benjamin Graille, Pierre Lallemand & Mohamed-Mahdi Tekitek

  2020-07-31

  50008 3097 Pages:1263-1278

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk & Dongbin Xiu

  2009-06-01

  38449 4055 Pages:826-847

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo

  2020-07-30

  39635 3209 Pages:1380-1416

• Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

  Richen Li, Qingbiao Wu, Shengfeng Zhu

  2021-05-25

  48273 3293 Pages:396-422

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  49155 3215 Pages:967-998

• Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

  Tao Tang & Tao Zhou

  2010-08-01

  40128 4560 Pages:226-248

• A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions

  Zheng Li, Feng Shi, Yizhong Sun, Yuhong Zhang, Haibiao Zheng

  2024-09-06

  146 57 Pages:551-580

• Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

  Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, Yanyang Xiao, Zheng Ma

  2020-11-18

  85482 4069 Pages:1746-1767

• Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations

  Shu-Lin Wu & Chengming Huang

  2018-10-11

  44325 3412 Pages:390-415

• Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

  Jiwei Zhang, Dongfang Li & Xavier Antoine

  2018-09-01

  46615 5292 Pages:218-243

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36587 1889 Pages:1155-1193

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46295 3261 Pages:1094-1128

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70207 3742 Pages:1707-1745

• Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

  Siqing Li & Leevan Ling

  2019-04-28

  45793 3059 Pages:785-808

• The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation

  Binbin Du & Jianguo Huang

  2018-11-09

  47023 3500 Pages:752-780

• Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

  Yue Yan, Weijia Li, Wenbin Chen & Yanqiu Wang

  2018-09-17

  45851 3282 Pages:510-530

• The Stability and Convergence of Fully Discrete Galerkin-Galerkin FEMs for Porous Medium Flows

  Buyang Li, Jilu Wang & Weiwei Sun

  2020-07-31

  42403 4297 Pages:1141-1158

• Numerical Analysis of an Adaptive FEM for Distributed Flux Reconstruction

  Mingxia Li, Jingzhi Li & Shipeng Mao

  2020-07-31

  41253 4369 Pages:1068-1090