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

  41087 3304 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

  38950 3230 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

  47428 3536 Pages:905-929

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

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  46769 3384 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

  9337 581 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

  59120 3462 Pages:1020-1048

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  802 160 Pages:1027-1058

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

  Hong-Lin Liao, William McLean, Jiwei Zhang

  2021-05-25

  54960 3612 Pages:567-601

• A Complete Error Analysis of PINNs for Elliptic Equations Using Projected Stochastic Gradient Descent

  Yuling Jiao, Ruoxuan Li, Defeng Sun, Peiying Wu, Jerry Zhijian Yang

  2026-04-10

  255 73 Pages:27-60

• 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

  50879 3663 Pages:1335-1364

• Convergence Analysis for Over-Parameterized Deep Learning

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

  2024-07-29

  28091 2178 Pages:71-103

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

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

  2020-07-31

  50240 3151 Pages:1263-1278

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk, Dongbin Xiu

  2009-06-01

  38617 4124 Pages:826-847

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

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  39777 3261 Pages:1380-1416

• Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

  Richen Li, Qingbiao Wu, Shengfeng Zhu

  2021-05-25

  48474 3361 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

  49449 3276 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

  40350 4696 Pages:226-248

• Convergence Analysis for a Finite Volume Evolution Galerkin Method for Multidimensional Hyperbolic Systems

  Mária Lukáčová-Medviďová, Zhuyan Tang, Yuhuan Yuan

  2026-05-01

  285 41 Pages:1479-1511

• 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

  19547 1583 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

  86814 4380 Pages:1746-1767

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

  Shu-Lin Wu, Chengming Huang

  2018-10-11

  44512 3502 Pages:390-415

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

  Jiwei Zhang, Dongfang Li, Xavier Antoine

  2018-09-01

  46819 5400 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

  36827 1981 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

  46569 3361 Pages:1094-1128

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70608 3843 Pages:1707-1745

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

  Siqing Li, Leevan Ling

  2019-04-28

  46000 3119 Pages:785-808

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

  Binbin Du, Jianguo Huang

  2018-11-09

  47273 3547 Pages:752-780