Search Results

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  DOI:10.4208/cicp.OA-2021-0186

  52182 3175 pp. 1272-1295

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  DOI:10.4208/cicp.OA-2021-0074

  49556 4334 pp. 60-93 Open Access

• A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems

  Huangxin Chen, Jingzhi Li, Weifeng Qiu, Chao Wang

  2021-02-25

  DOI:10.4208/cicp.OA-2020-0108

  45885 3431 pp. 1125-1151

• A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

  Yue Yan, Wenbin Chen, Cheng Wang, Steven M. Wise

  2018-08-21

  DOI:10.4208/cicp.OA-2016-0197

  51837 3369 pp. 572-602

• An Adaptive Finite Element Method with Hybrid Basis for Singularly Perturbed Nonlinear Eigenvalue Problems

  Ye Li

  2018-04-03

  DOI:10.4208/cicp.021114.140715a

  41433 3262 pp. 442-472

• Strong Convergence and Speed up of Nested Stochastic Simulation Algorithm

  Can Huang, Di Liu

  2020-07-31

  DOI:10.4208/cicp.290313.051213s

  40949 3920 pp. 1207-1236

• A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

  Tobias Geback, Alexei Heintz

  2018-03-27

  DOI:10.4208/cicp.161112.230713a

  40825 4160 pp. 487-505

• Quasi-Optimized Overlapping Schwarz Waveform Relaxation Algorithm for PDEs with Time-Delay

  Shu-Lin Wu, Ting-Zhu Huang

  2013-09-05

  DOI:10.4208/cicp.100312.071112a

  39638 4094 pp. 780-800

• On Triangular Lattice Boltzmann Schemes for Scalar Problems

  Francois Dubois, Pierre Lallemand

  2020-07-31

  DOI:10.4208/cicp.381011.270112s

  40887 4104 pp. 649-670

• Exponential Compact Higher Order Scheme for Nonlinear Steady Convection-Diffusion Equations

  Y. V. S. S. Sanyasiraju, Nachiketa Mishra

  2011-09-01

  DOI:10.4208/cicp.171209.300710a

  38898 3890 pp. 897-916

• A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schrödinger Eigenvalue Problem with an Inverse Square Potential

  Shusheng Li, Lueling Jia, Qilong Zhai, Zhimin Zhang

  2026-04-10

  DOI:10.4208/cicp.OA-2024-0232

  185 56 pp. 263-296

• Stability Analysis and Structure Preserving Schemes for the Reactive Euler Equations with a New Equation of State

  Minghao Sun, Hujian Zuo, Weifeng Zhao, Ping Lin

  2026-05-01

  DOI:10.4208/cicp.OA-2024-0175

  232 55 pp. 1589-1619

• Non-Iterative Parallel Schwarz Domain Decomposition Algorithms for a Two-Domain Parabolic Problem

  Minjie Shen, Danping Yang, Haibiao Zheng

  2025-09-18

  DOI:10.4208/cicp.OA-2024-0085

  4540 353 pp. 1552-1584

• A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

  Xiaohan Zhu, Yuezheng Gong, Yushun Wang

  2025-09-05

  DOI:10.4208/cicp.OA-2024-0016

  3747 360 pp. 1210-1236

• A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

  Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao

  2024-10-29

  DOI:10.4208/cicp.OA-2024-0074

  17992 1206 pp. 996-1020

• MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

  Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang

  2024-10-29

  DOI:10.4208/cicp.OA-2024-0002

  21792 1258 pp. 943-976

• ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

  Wanshan Li, Yile Zhang, Yau Shu Wong, Dong Liang

  2018-04-03

  DOI:10.4208/cicp.160914.270315a

  40531 4951 pp. 94-123

• A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

  K. B. Nakshatrala, H. Nagarajan, M. Shabouei

  2018-04-03

  DOI:10.4208/cicp.180615.280815a

  40479 4767 pp. 53-93

• On Initial Conditions for the Lattice Boltzmann Method

  Juntao Huang, Hao Wu, Wen-An Yong

  2018-04-03

  DOI:10.4208/cicp.040913.220115a

  38675 3116 pp. 450-468

• Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

  Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu

  2020-07-30

  DOI:10.4208/cicp.230113.140814a

  41834 3166 pp. 458-486

• Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

  Ruihan Guo, Yan Xu

  2020-07-30

  DOI:10.4208/cicp.210114.080814a

  40380 3124 pp. 424-457

• A Differential Algebraic Method for the Solution of the Poisson Equation for Charged Particle Beams

  B. Erdelyi, E. Nissen, S. Manikonda

  2018-04-02

  DOI:10.4208/cicp.240813.170614a

  42915 4598 pp. 47-78

• A Novel Multipoint Stress Control Volume Method for Linear Elasticity on Quadrilateral Grids

  Shubin Fu, Lina Zhao

  2025-07-11

  DOI:10.4208/cicp.OA-2024-0265

  5250 641 pp. 285-316

• Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

  Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao

  2024-06-14

  DOI:10.4208/cicp.OA-2023-0315

  28525 2038 pp. 1263-1286

• A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

  Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou

  2023-10-07

  DOI:10.4208/cicp.OA-2023-0063

  35606 2926 pp. 813-836

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0049

  43060 3778 pp. 222-258

• Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation

  Chris Schoutrop, Jan ten Thije Boonkkamp, Jan van Dijk

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0182

  42800 3915 pp. 156-188