Search Results

• 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

• 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

• On the Choice of Design Points for Least Square Polynomial Approximations with Application to Uncertainty Quantification

  Zhen Gao, Tao Zhou

  2014-08-03

  DOI:10.4208/cicp.130813.060214a

  42519 4177 pp. 365-381

• Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

  Alexandre Birolleau, Gael Poette, Didier Lucor

  2014-07-06

  DOI:10.4208/cicp.240113.071113a

  42167 5498 pp. 1-34

• Convergence Detection in Direct Simulation Monte Carlo Calculations for Steady State Flows

  Jonathan M. Burt, Iain D. Boyd

  2011-10-01

  DOI:10.4208/cicp.090210.311210a

  40298 4133 pp. 807-822

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk, Dongbin Xiu

  2009-06-01

  38615 4123 pp. 826-847

• 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

• 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

• 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 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

• 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

• 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

• Role of Fluxes in High-Order Godunov Schemes

  Matania Ben-Artzi

  2026-05-01

  DOI:10.4208/cicp.OA-2024-0238

  230 44 pp. 1405-1420

• Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise

  Xu Yang, Weidong Zhao, Wenju Zhao

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0280

  24979 2123 pp. 133-159

• Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

  Qin Li, Pengxin Liu & Hanxin Zhang

  2020-07-30

  DOI:10.4208/cicp.150215.250515a

  39800 3257 pp. 1417-1444

• An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Xiaowen Xu, Zhiyang Zhou

  2020-07-30

  DOI:10.4208/cicp.091014.060315a

  40141 3372 pp. 1313-1335

• Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  DOI:10.4208/cicp.OA-2023-0172

  28052 2018 pp. 1003-1028

• A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

  Yifei Wan, Yinhua Xia

  2023-06-06

  DOI:10.4208/cicp.OA-2022-0270

  47456 3098 pp. 1270-1331

• 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

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0193

  89565 4614 pp. 2042-2074

• Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

  Xavier Antoine, Emmanuel Lorin

  2020-02-23

  DOI:10.4208/cicp.OA-2018-0259

  47810 3359 pp. 1032-1052

• Bayesian Model Calibration with Interpolating Polynomials Based on Adaptively Weighted Leja Nodes

  Laurent van den Bos, Benjamin Sanderse, Wim Bierbooms, Gerard van Bussel

  2020-03-06

  DOI:10.4208/cicp.OA-2018-0218

  53363 4973 pp. 33-69

• 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

• 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

• A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices

  Dorothee Richters, Michael Lass, Andrea Walther, Christian Plessl, Thomas D. Kuehne

  2018-10-11

  DOI:10.4208/cicp.OA-2018-0053

  50986 3436 pp. 564-585

• Conservative Finite-Difference Scheme and Two-Stage Iteration Process of Its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse

  Vyacheslav A. Trofimov, Maria M. Loginova, Vladimir A. Egorenkov

  2018-08-21

  DOI:10.4208/cicp.121015.080517a

  45943 3537 pp. 1512-1533