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  • A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

    Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang
    2026-01-18
    DOI:10.4208/cicp.OA-2023-0321
    751 111 pp. 1199-1230
  • Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis

    Kalyana B. Nakshatrala
    2023-05-12
    DOI:10.4208/cicp.OA-2022-0240
    78425 3100 pp. 1035-1068
  • Stochastic Multiscale Heat Transfer Analysis of Heterogeneous Materials with Multiple Random Configurations

    Zihao Yang, Xiaofei Guan, Junzhi Cui, Hao Dong, Ye Wu, Jieqiong Zhang
    2019-12-07
    DOI:10.4208/cicp.OA-2018-0311
    45198 3186 pp. 431-459
  • A Mathematical Analysis of Scale Similarity

    Z. J. Wang, Yanan Li
    2018-04-08
    DOI:10.4208/cicp.131015.110416a
    42458 4889 pp. 149-161
  • Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis

    K. B. Nakshatrala, K. Adhikari
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0166
    108769 3013 pp. 427-466
  • One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

    Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller
    2021-01-13
    DOI:10.4208/cicp.OA-2020-0132
    47665 3431 pp. 649-697
  • Quantum Simulation of the Fokker-Planck Equation via Schrödingerization

    Shi Jin, Nana Liu, Yue Yu
    2026-01-18
    DOI:10.4208/cicp.OA-2024-0097
    1060 298 pp. 969-1001
  • Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media

    Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun
    2026-01-03
    DOI:10.4208/cicp.OA-2023-0254
    2071 176 pp. 815-854
  • 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
  • Parallel Algorithms and Software for Nuclear, Energy, and Environmental Applications Part II: Multiphysics Software

    Derek Gaston, Luanjing Guo, Glen Hansen, Hai Huang, Richard Johnson, Dana Knoll, Chris Newman, Hyeong Kae Park, Robert Podgorney, Michael Tonks, Richard Williamson
    2012-12-01
    DOI:10.4208/cicp.091010.150711s
    40526 4184 pp. 834-865
  • 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
  • Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

    Xiang Wang, Jichun Li, Zhiwei Fang
    2020-11-26
    DOI:10.4208/cicp.OA-2020-0011
    46322 4278 pp. 211-236
  • A CFD-Aided Galerkin Method for Global Linear Instability Analysis

    Shengqi Zhang, Zhenhua Xia, Shiyi Chen
    2020-11-26
    DOI:10.4208/cicp.OA-2020-0041
    46059 4709 pp. 128-147
  • Super-Closeness Between the Ritz Projection and the Finite Element Solution for Some Elliptic Problems

    Ruosi Liang, Yue Yan, Wenbin Chen, Yanqiu Wang
    2020-06-05
    DOI:10.4208/cicp.OA-2019-0154
    47420 3187 pp. 803-826
  • 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 Application of Prony's Sum of Exponentials Method to Pharmacokinetic Data Analysis

    J. Fuite, R. E. Marsh, J. A. Tuszynski
    2007-02-01
    39366 4904 pp. 87-98
  • Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

    Yixiang Dai, Yunzhang Li, Jing Zhang
    2026-01-18
    DOI:10.4208/cicp.OA-2024-0296
    785 122 pp. 1299-1331
  • 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
  • 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
  • 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
  • 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 Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment

    Min Zhang, Weizhang Huang
    2026-02-15
    DOI:10.4208/cicp.OA-2025-0004
    4016 146 pp. 513-552
  • 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
  • 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
  • Analytic Structure of the SCFT Energy Functional of Multicomponent Block Copolymers

    Kai Jiang, Weiquan Xu, Pingwen Zhang
    2018-04-02
    DOI:10.4208/cicp.281113.271114a
    41349 3383 pp. 1360-1387
  • An Understanding of the Physical Solutions and the Blow-up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models

    María J. Cáceres, Alejandro Ramos-Lora
    2021-07-01
    DOI:10.4208/cicp.OA-2020-0241
    48141 3150 pp. 820-850
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