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

  DOI:10.4208/cicp.OA-2022-0218

  41082 3304 pp. 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

  DOI:10.4208/cicp.OA-2022-0080

  38947 3230 pp. 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

  DOI:10.4208/cicp.OA-2020-0074

  47424 3536 pp. 905-929

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

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  DOI:10.4208/cicp.2019.js60.12

  46766 3384 pp. 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

  DOI:10.4208/cicp.OA-2023-0101

  9335 581 pp. 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

  DOI:10.4208/cicp.OA-2021-0195

  59117 3462 pp. 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

  DOI:10.4208/cicp.OA-2025-0130

  797 159 pp. 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

  DOI:10.4208/cicp.OA-2020-0124

  54958 3612 pp. 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

  DOI:10.4208/cicp.OA-2025-0102

  243 68 pp. 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

  DOI:10.4208/cicp.2019.js60.10

  50877 3663 pp. 1335-1364

• Convergence Analysis for Over-Parameterized Deep Learning

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

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0264

  28088 2178 pp. 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

  DOI:10.4208/cicp.OA-2016-0257

  50238 3150 pp. 1263-1278

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk, Dongbin Xiu

  2009-06-01

  38615 4123 pp. 826-847

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

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  DOI:10.4208/cicp.150215.250515a

  39775 3261 pp. 1380-1416

• Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

  Richen Li, Qingbiao Wu, Shengfeng Zhu

  2021-05-25

  DOI:10.4208/cicp.OA-2020-0018

  48472 3361 pp. 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

  DOI:10.4208/cicp.OA-2019-0037

  49446 3276 pp. 967-998

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

  Tao Tang, Tao Zhou

  2010-08-01

  DOI:10.4208/cicp.060109.130110a

  40348 4696 pp. 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

  DOI:10.4208/cicp.OA-2024-0271

  222 41 pp. 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

  DOI:10.4208/cicp.OA-2023-0258

  19543 1582 pp. 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

  DOI:10.4208/cicp.OA-2020-0085

  86804 4378 pp. 1746-1767

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

  Shu-Lin Wu, Chengming Huang

  2018-10-11

  DOI:10.4208/cicp.OA-2017-0177

  44510 3502 pp. 390-415

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

  Jiwei Zhang, Dongfang Li, Xavier Antoine

  2018-09-01

  DOI:10.4208/cicp.OA-2017-0195

  46816 5400 pp. 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

  DOI:10.4208/cicp.OA-2022-0315

  36826 1981 pp. 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

  DOI:10.4208/cicp.OA-2022-0106

  46564 3360 pp. 1094-1128

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0191

  70604 3843 pp. 1707-1745

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

  Siqing Li, Leevan Ling

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0182

  45995 3119 pp. 785-808

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

  Binbin Du, Jianguo Huang

  2018-11-09

  DOI:10.4208/cicp.OA-2017-0235

  47269 3547 pp. 752-780