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Numerical Mathematics: Theory, Methods and Applications
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  • Generalized and Unified Families of Interpolating Subdivision Schemes

    Ghulam Mustafa, Pakeeza Ashraf & Jiansong Deng
    2014-07-01
    39259 3464 Pages:193-213
  • Robust Multiscale Iterative Solvers for Nonlinear Flows in Highly Heterogeneous Media

    Y. Efendiev, J. Galvis, S. Ki Kang & R.D. Lazarov
    2012-05-01
    41599 3522 Pages:359-383
  • A Fourth-Order Modified Method for the Cauchy Problem of the Modified Helmholtz Equation

    R. Shi, T. Wei & H. H. Qin
    2009-02-01
    40525 3495 Pages:326-340
  • An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems

    Zhiming Chen & Xinming Wu
    2008-01-01
    38812 3569 Pages:113-137
  • A Numerical Study of Multiple Solutions for Laminar Flows in a Porous and Moving Channel

    Fen Wang, Ping Lin, Lin Li & Yongyue Jiang
    2018-09-17
    41986 4205 Pages:74-91
  • An Improved Hybrid Adjoint Method in External Aerodynamics Using Variational Technique for the Boundary Integral Based Optimal Objective Function Gradient

    Asma Farooqi, Riaz Ahmad, Zhenping Feng
    2020-03-16
    43884 2780 Pages:689-718
  • Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

    Cui-Cui Ji, Weizhong Dai
    2023-04-10
    40530 9016436 Pages:511-540
  • HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network

    Muzhou Hou, Yinghao Chen, Shen Cao, Yuntian Chen, Jinyong Ying
    2023-11-07
    29770 2498 Pages:883-913
  • Decoupling Analysis for Solving the Diffusive Peterlin Viscoelastic Model

    Zhen Miao, Yaolin Jiang
    2025-10-22
    3767 214 Pages:972-1002
  • Efficiently Training Physics-Informed Neural Networks via Anomaly-Aware Optimization

    Jiacheng Li, Min Yang, Chuanjun Chen
    2024-05-11
    27126 2200 Pages:310-330
  • A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations

    Xiaoqiang Yue, Sheng Xia, Chunyan Chen, Xiaowen Xu, Shi Shu
    2024-08-30
    22178 1362 Pages:630-657
  • Parallel and Scalable Two-Grid Nonlinear Preconditioning Technique for Fully Coupled Solution of Thermal Convective Flow Problems

    Xiahui He, Haijian Yang, Jiali Tu
    2025-10-22
    3886 249 Pages:927-946
  • Uncertainty Quantification with Physics-Informed Generative Process Distributions for the Linear Diffusion Equation

    Wei Zhang, Hui Xie, Tengchao Yu, Heng Yong
    2025-09-01
    4781 360 Pages:794-816
  • Convergence Analysis of Split-Douglas-Rachford Algorithm and a Novel Preconditioned ADMM with an Improved Condition

    Maoran Wang, Xingju Cai, Yongxin Chen
    2024-08-30
    17704 1389 Pages:658-696
  • R-Adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-Adaptive Strategy

    Yameng Zhu, Jingrun Chen, Weibing Deng
    2025-04-06
    6792 548 Pages:31-65
  • Noise Robust Physics-Informed Generative Adversarial Networks for Solving Stochastic Differential Equations

    Lin Wang, Min Yang, Ruisong Gao, Chuanjun Chen
    2025-05-16
    7368 486 Pages:521-543
  • On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

    Rui Sheng, Jerry Zhijian Yang, Cheng Yuan
    2025-05-16
    7324 476 Pages:487-520
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