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  • An Efficient Rotational Pressure-Correction Scheme for the 2D/3D Navier-Stokes/Darcy Coupling Problem

    Minting Zhao, Jiawei Gao, Md. Abdullah AL Mahbub, Dan Chen
    2024-10-09
    14002 1173 Pages:850-878
  • Analysis of a Second-Order, Unconditionally Stable, Partitioned Method for the Evolutionary Stokes-Darcy Model

    Michaela Kubacki & Marina Moraiti
    2015-12-01
    34136 2679 Pages:704-730
  • Numerical Analysis of Augmented FVM for Nonlinear Time Fractional Degenerate Parabolic Equation

    Muhammad Aamir Ali, Zhiyue Zhang, Jianqiang Xie
    2025-03-14
    8393 842 Pages:340-360
  • Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions

    Amanda E. Diegel, Natasha S. Sharma
    2023-05-22
    29623 2568 Pages:459-477
  • Construction and Analysis of Weighted Sequential Splitting FDTD Methods for the 3D Maxwell's Equations

    Vrushali A. Bokil, Puttha Sakkaplangkul
    2018-08-15
    32546 2608 Pages:747-784
  • An Almost Fourth Order Parameter-Robust Numerical Method for a Linear System of ($M\geq2$) Coupled Singularly Perturbed Reaction-Diffusion Problems

    S. C. S. Rao, M. Kumar
    2013-10-01
    229 96 Pages:603-621
  • A Finite Element Method for the One-Dimensional Prescribed Curvature Problem

    Susanne C. Brenner, Li-Yeng Sung, Zhuo Wang, Yuesheng Xu
    2018-09-18
    32558 2612 Pages:646-669
  • A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations

    Dandan Wang, Yong Zhang, Hanquan Wang
    2023-05-22
    29091 2425 Pages:577-595
  • A New $a$ $Posteriori$ Error Estimate for the Interior Penalty Discontinuous Galerkin Method

    Wei Yang, Luling Cao, Yunqing Huang, Jintao Cui
    2019-02-22
    35960 2800 Pages:210-224
  • The Immersed Finite Volume Element Method for Some Interface Problems with Nonhomogeneous Jump Conditions

    Ling Zhu, Zhiyue Zhang, Zhilin Li
    2016-05-03
    31843 2655 Pages:368-382
  • An Augmented IIM for Helmholtz/Poisson Equations on Irregular Domains in Complex Space

    Sidong M. Zhang, Zhilin Li
    2018-08-15
    33138 4043 Pages:166-178
  • Split-Step Forward Milstein Method for Stochastic Differential Equation

    S. Singh
    2012-09-01
    33301 2643 Pages:970-981
  • Convergence of Multi-Point Flux Approximations on General Grids and Media

    R. A. Klausen, A. F. Stephansen
    2012-08-06
    35416 2561 Pages:584-606
  • Weak Galerkin Finite Element Method Based on POD for Nonlinear Parabolic Equations

    Jianghong Zhang, Fuzheng Gao, Jintao Cui
    2025-02-20
    8871 688 Pages:157-177
  • Discontinuous Galerkin Method for Nonlinear Quasi-Static Poroelasticity Problems

    Fan Chen, Ming Cui, Chenguang Zhou
    2024-04-07
    20811 2412 Pages:201-220
  • An Immersed Crouzeix-Raviart Finite Element Method for Navier-Stokes Equations with Moving Interfaces

    Jin Wang, Xu Zhang, Qiao Zhuang
    2022-06-22
    38604 2685 Pages:563-586
  • A Scalar Auxiliary Variable (SAV) and Operator Splitting Compact Finite Difference Method for Peritectic Phase Field Model

    Jiajie Fei, Shusen Xie , Chunguang Chen
    2022-03-22
    30402 3236 Pages:85-100
  • Superconvergence of Stabilized Low Order Finite Volume Approximation for the Three-Dimensional Stationary Navier-Stokes Equations

    Jian Li, Jianhua Wu, Zhangxin Chen, Aiwen Wang
    2012-09-01
    32375 2464 Pages:419-431
  • A Deep Learning Galerkin Method for the Second-Order Linear Elliptic Equations

    ​Jian Li, Wen Zhang, Jing Yue
    2021-05-25
    42885 2703 Pages:427-441
  • A Finite Difference Method for Stochastic Nonlinear Second-Order Boundary-Value Problems Driven by Additive Noises

    Mahboub Baccouch
    2020-05-20
    34767 2740 Pages:368-389
  • An Optimal-Order Error Estimate for an $H^1$-Galerkin Mixed Method for a Pressure Equation in Compressible Porous Medium Flow

    H. Chen, Z. Zhou & H. Wang
    2012-09-01
    32956 3790 Pages:132-148
  • A Least-Squares Method for Consistent Mesh Tying

    Pavel Bochev, David Day
    2021-11-09
    30778 2423 Pages:342-352
  • Conservative Methods for Stochastic Differential Equations with a Conserved Quantity

    Chuchu Chen, David Cohen, Jialin Hong
    2016-05-03
    32109 2745 Pages:435-456
  • Numerical Analysis of the Fractional Seventh-Order KdV Equation Using an Implicit Fully Discrete Local Discontinuous Galerkin Method

    L. Wei, Y. He, Y. Zhang
    2013-10-01
    32685 2626 Pages:430-444
  • A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2023-11-13
    22485 2051 Pages:772-804
  • A Second-Order Embedded Low-Regularity Integrator for the Quadratic Nonlinear Schrödinger Equation on Torus

    Fangyan Yao
    2022-08-22
    295885 2767 Pages:656-668
  • A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

    Max Gunzburger, Nan Jiang, Michael Schneier
    2018-08-15
    33046 2527 Pages:608-627
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