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

    Tobias Gebäck & Alexei Heintz
    2018-03-27
    40653 4097 Pages:487-505
  • Quasi-Optimized Overlapping Schwarz Waveform Relaxation Algorithm for PDEs with Time-Delay

    Shu-Lin Wu & Ting-Zhu Huang
    2013-09-05
    39481 4015 Pages:780-800
  • On Triangular Lattice Boltzmann Schemes for Scalar Problems

    François Dubois & Pierre Lallemand
    2020-07-31
    40738 4044 Pages:649-670
  • Exponential Compact Higher Order Scheme for Nonlinear Steady Convection-Diffusion Equations

    Y. V. S. S. Sanyasiraju & Nachiketa Mishra
    2011-09-01
    38761 3824 Pages:897-916
  • Non-Iterative Parallel Schwarz Domain Decomposition Algorithms for a Two-Domain Parabolic Problem

    Minjie Shen, Danping Yang, Haibiao Zheng
    2025-09-18
    4090 258 Pages: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
    3420 288 Pages: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
    142 57 Pages:996-1020
  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    147 68 Pages:943-976
  • ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

    Wanshan Li, Yile Zhang, Yau Shu Wong & Dong Liang
    2018-04-03
    40384 4793 Pages: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
    40312 4613 Pages:53-93
  • On Initial Conditions for the Lattice Boltzmann Method

    Juntao Huang, Hao Wu & Wen-An Yong
    2018-04-03
    38518 3049 Pages:450-468
  • Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

    Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu
    2020-07-30
    41684 3071 Pages:458-486
  • Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

    Ruihan Guo & Yan Xu
    2020-07-30
    40252 3072 Pages: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
    42777 4495 Pages:47-78
  • A Novel Multipoint Stress Control Volume Method for Linear Elasticity on Quadrilateral Grids

    Shubin Fu, Lina Zhao
    2025-07-11
    4940 472 Pages: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
    28269 1947 Pages: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
    35332 2836 Pages: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
    42828 3639 Pages: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
    42522 3761 Pages:156-188
  • A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

    Jingrun Chen, Shi Jin, Liyao Lyu
    2022-03-30
    47006 2985 Pages:1296-1316
  • A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

    Jianguo Huang, Yue Yu
    2021-08-10
    46892 3055 Pages:1009-1036
  • An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems

    Cheng Wang, Pengtao Sun
    2021-04-30
    49148 4497 Pages:124-143
  • A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the $N$-Body Dielectric Spheres Problem

    Muhammad Hassan, Benjamin Stamm
    2020-12-02
    58631 3447 Pages:319-356
  • Higher-Order Rytov Approximation for Large-Scale and Strong Perturbation Media

    Bo Feng, Ru-Shan Wu, Huazhong Wang
    2020-06-05
    52177 4765 Pages:98-110
  • Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

    Dianming Hou, Mejdi Azaïez, Chuanju Xu
    2019-08-27
    53989 3634 Pages:1415-1443
  • Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion

    Guillaume Fenger, Olivier Goubet, Youcef Mammeri
    2019-08-27
    47064 3645 Pages:1397-1414
  • Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media

    Long Yuan & Qiya Hu
    2019-01-10
    46198 3842 Pages:1496-1522
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