Search Results

• First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

  Hao-Chen Wang, Meilin Yu, Heng Xiao

  2026-01-15

  DOI:10.4208/cicp.OA-2024-0260

  3380 409 pp. 1-28

• Modelling Thermo-Electro-Mechanical Effects in Orthotropic Cardiac Tissue

  Ricardo Ruiz-Baier, Alessio Gizzi, Alessandro Loppini, Christian Cherubini, Simonetta Filippi

  2020-03-06

  DOI:10.4208/cicp.OA-2018-0253

  53099 5418 pp. 87-115 Open Access

• A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems

  Haijian Yang, Feng-Nan Hwang

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0191

  46231 3271 pp. 749-767

• Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

  Dongfang Li, Hong-Lin Liao, Weiwei Sun, Jilu Wang, Jiwei Zhang

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0080

  51383 5919 pp. 86-103

• A Backward Doubly Stochastic Differential Equation Approach for Nonlinear Filtering Problems

  Feng Bao, Yanzhao Cao, Weidong Zhao

  2018-08-21

  DOI:10.4208/cicp.OA-2017-0084

  47842 3753 pp. 1573-1601

• Numerical Solution of Blow-Up Problems for Nonlinear Wave Equations on Unbounded Domains

  Hermann Brunner, Hongwei Li, Xiaonan Wu

  2013-09-05

  DOI:10.4208/cicp.160412.111012a

  40121 4060 pp. 574-598

• Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

  Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue

  2021-08-10

  DOI:10.4208/cicp.OA-2021-0011

  47693 3240 pp. 1185-1215

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0005

  47446 5581 pp. 233-264

• Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

  Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu, Yonghong Wang

  2018-09-01

  DOI:10.4208/cicp.OA-2017-0108

  46099 5460 pp. 244-265

• The Nonlinear Dynamic Behaviors of Electrostatic Micro-Tweezers

  Bo-Wun Huang, Chao-Jung Chen, Jao-Hwa Kuang

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0054

  44927 5077 pp. 253-267

• Efficient Computation of Nonlinear Crest Distributions for Irregular Stokes Waves

  Ying-Guang Wang

  2018-04-04

  DOI:10.4208/cicp.191214.071215a

  40816 3077 pp. 881-903

• A Nonlinear PIC Algorithm for High Frequency Waves in Magnetized Plasmas Based on Gyrocenter Gauge Kinetic Theory

  Jian Liu, Zhi Yu, Hong Qin

  2020-07-31

  DOI:10.4208/cicp.150313.051213s

  41326 4012 pp. 1167-1183

• Scale-Decomposed Physics-Informed Neural Networks for Singular Perturbation Problems

  Lei Zhang, Guowei He

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0149

  1056 238 pp. 1267-1298

• Long-Time Integration of Nonlinear Wave Equations with Neural Operators

  Guanhang Lei, Zhen Lei, Lei Shi

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0274

  792 146 pp. 1137-1163

• Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System

  Jie Shen, Lianpeng Xue, Qifeng Zhang

  2026-01-03

  DOI:10.4208/cicp.OA-2025-0108

  2020 216 pp. 661-695

• A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows

  Chengming Zeng, Dongjun Jiang, Qibing Li

  2026-02-15

  DOI:10.4208/cicp.OA-2024-0022

  4021 202 pp. 448-474

• A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals

  Tiexiang Li, Xing-Long Lyu, Ren-Cang Li, Wen-Wei Lin

  2026-01-15

  DOI:10.4208/cicp.OA-2025-0045

  3337 320 pp. 261-295

• Investigation of Compressible Electromagnetic Flute Mode Instability in Finite Beta Plasma in Support of Z-Pinch and Laboratory Astrophysics Experiments

  V. I. Sotnikov, V. V. Ivanov, R. Presura, J. N. Leboeuf, O. G. Onishchenko, B. V. Oliver, B. Jones, T. A. Mehlhorn, C. Deeney

  2008-09-05

  39125 4015 pp. 611-623

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  DOI:10.4208/cicp.OA-2023-0159

  26577 2274 pp. 313-368

• A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  DOI:10.4208/cicp.OA-2022-0272

  30966 2628 pp. 934-954

• An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

  Zhicheng Hu, Guanghan Li

  2023-09-04

  DOI:10.4208/cicp.OA-2022-0271

  33061 2776 pp. 357-391

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  DOI:10.4208/cicp.OA-2021-0257

  307217 3645 pp. 299-335

• Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences

  Feng Bao, Richard Archibald, Peter Maksymovych

  2019-12-07

  DOI:10.4208/cicp.OA-2018-0238

  47279 4983 pp. 589-618 Open Access

• Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

  Xiaobing Feng, Hailiang Liu, Shu Ma

  2019-08-27

  DOI:10.4208/cicp.2019.js60.05

  49158 3574 pp. 1365-1396

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  DOI:10.4208/cicp.2019.js60.03

  48248 3530 pp. 1307-1334

• An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems

  Jing An, Waixiang Cao, Zhimin Zhang

  2019-08-27

  DOI:10.4208/cicp.2019.js60.11

  48986 3611 pp. 1249-1273

• An Undecomposed Hybrid Algorithm for Nonlinear Coupled Constitutive Relations of Rarefied Gas Dynamics

  Zhongzheng Jiang, Wenwen Zhao, Weifang Chen, Ramesh K. Agarwal

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0056

  47267 3322 pp. 880-912