Search Results

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  DOI:10.4208/cicp.OA-2023-0327

  9043 520 pp. 1383-1416

• Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

  Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise

  2025-04-27

  DOI:10.4208/cicp.OA-2023-0190

  9418 836 pp. 877-920 Open Access

• A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

  Lei Xu, Rongliang Chen, Xiao-Chuan Cai

  2025-09-02

  DOI:10.4208/cicp.OA-2023-0019

  11846 889 pp. 547-574

• Implementation of 2D Domain Decomposition in the UCAN Gyrokinetic Particle-in-Cell Code and Resulting Performance of UCAN2

  Jean-Noel G. Leboeuf, Viktor K. Decyk, David E. Newman, Raul Sanchez

  2018-04-03

  DOI:10.4208/cicp.070115.030715a

  40366 4752 pp. 205-225

• 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

• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

  Rajesh Gandham, David Medina, Timothy Warburton

  2018-04-03

  DOI:10.4208/cicp.070114.271114a

  42678 4694 pp. 37-64

• Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

  X. Liang, A. Q. M. Khaliq, Y. Xing

  2020-07-30

  DOI:10.4208/cicp.060414.190914a

  40066 3032 pp. 510-541

• A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

  José A. Carrillo, Alina Chertock, Yanghong Huang

  2018-04-02

  DOI:10.4208/cicp.160214.010814a

  42142 4619 pp. 233-258

• Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

  Yan Xu, Chi-Wang Shu

  2011-10-01

  DOI:10.4208/cicp.300410.300710a

  37447 4047 pp. 474-508

• The Riemann Problem for the Dispersive Nonlinear Shallow Water Equations

  Giovanna Grosso, Matteo Antuono, Eleuterio Toro

  2010-07-01

  DOI:10.4208/cicp.2009.08.181

  41572 4415 pp. 64-102

• A Macro Projective Integration Method in 2D Microscopic System Applied to Nonlinear Ion Acoustic Waves in a Plasma

  A. M. Maluckov, S. Ishiguro, M. M. Škorić

  2008-09-05

  39273 3908 pp. 556-574

• Gyrokinetic Particle Simulation of Compressional Electromagnetic Modes

  H. Qu, Z. Lin

  2008-09-05

  39154 4172 pp. 519-536

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  DOI:10.4208/cicp.OA-2024-0256

  6599 519 pp. 684-710

• Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

  Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin

  2025-07-11

  DOI:10.4208/cicp.OA-2024-0117

  5280 635 pp. 156-180

• A Causality-DeepONet for Causal Responses of Linear Dynamical Systems

  Lizuo Liu, Kamaljyoti Nath, Wei Cai

  2024-06-14

  DOI:10.4208/cicp.OA-2023-0078

  36425 1892 pp. 1194-1228

• 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 Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Yuanyang Zou, Hao Zhang, Xiaogang Deng

  2024-05-06

  DOI:10.4208/cicp.OA-2023-0162

  28544 2086 pp. 1120-1154

• 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 Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

  Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang

  2024-04-10

  DOI:10.4208/cicp.OA-2023-0038

  25116 2172 pp. 633-661

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  DOI:10.4208/cicp.OA-2023-0143

  25120 2160 pp. 498-523

• High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

  Jiahong Cai, Shengye Wang, Wei Liu

  2024-03-13

  DOI:10.4208/cicp.OA-2023-0164

  26281 2246 pp. 395-426

• Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition

  Hao Zhang, Yidao Dong, Shichao Zheng, Xiaogang Deng

  2023-09-04

  DOI:10.4208/cicp.OA-2023-0080

  34301 2739 pp. 418-455

• Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

  Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault

  2023-09-04

  DOI:10.4208/cicp.OA-2022-0140

  33606 2905 pp. 261-289

• A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor

  Haohan Huang, Tian Liang, Lin Fu

  2023-05-12

  DOI:10.4208/cicp.OA-2022-0286

  36272 3053 pp. 1106-1131

• Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

  Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0233

  37814 3096 pp. 628-646

• Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell

  Meng Zhao, Pedro Anjos, John Lowengrub, Wenjun Ying, Shuwang Li

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0128

  39398 3311 pp. 399-424

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0117

  46587 3648 pp. 367-398