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  • Optimal Uniform Convergence Analysis for a Two-Dimensional Parabolic Problem with Two Small Parameters

    Jichun Li
    2005-04-03
    32664 3837 Pages:107-126
  • Analysis of Transmission Line Model with Uncertain Parameter Using the PC-FDTD Method

    Younbae Jun, Nathan L. Gibson
    2026-03-11
    265 57 Pages:432–441
  • Analysis of Harmonic Average Method for Interface Problems with Discontinuous Solutions and Fluxes

    Kejia Pan, Hengrui Xu, Zhilin Li
    2026-03-11
    278 57 Pages:390–407
  • Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes Without Convexity Assumptions

    Chunmei Wang
    2025-10-21
    5701 403 Pages:83-102
  • 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 2614 Pages:646-669
  • A Class of Runge-Kutta Methods for Backward Stochastic Differential Equations

    Xiao Tang, Jie Xiong
    2025-08-04
    6396 569 Pages:777-800
  • The Weighted and Shifted Two-Step BDF Method for Allen-Cahn Equation on Variable Grids

    Minghua Chen, Fan Yu, Qingdong Zhang
    2025-05-26
    7967 668 Pages:671-693
  • An Unconditionally Energy-Stable SAV-DG Numerical Scheme for Tumor Growth Model

    Penghao Guo, Bo Wang, Guang-An Zou
    2025-04-29
    7198 614 Pages:510-533
  • The Navier-Stokes-$\omega$/Navier-Stokes-$\omega$ Model for Fluid-Fluid Interaction Using an Unconditionally Stable Finite Element Scheme

    Qinghui Wang, Pengzhan Huang, Yinnian He
    2025-02-20
    8734 675 Pages:178-201
  • A Linearized, Decoupled and Unconditionally Stable BDF2 FEM for the Active Fluid Model

    Yuxing Zhang, Bo Wang
    2024-11-22
    13716 1379 Pages:40-70
  • A Finite Volume Method Preserving the Invariant Region Property for the Quasimonotone Reaction-Diffusion Systems

    Huifang Zhou, Yuchun Sun, Fuchang Huo
    2024-10-09
    13646 1103 Pages:910-932
  • Sixth-Order Compact Differencing with Staggered Boundary Schemes and 3(2) Bogacki-Shampine Pairs for Pricing Free-Boundary Options

    Chinonso Nwankwo, Weizhong Dai
    2024-10-09
    14107 1160 Pages:793-821
  • A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic

    Xingwei Yang, Pengzhan Huang, Yinnian He
    2024-06-24
    20492 1488 Pages:476-503
  • Continuous/Discontinuous Finite Element Approximation of a 2d Navier-Stokes Problem Arising in Fluid Confinement

    Hermenegildo Borges De Oliveira, Nuno David Lopes
    2024-05-20
    21805 1703 Pages:315-352
  • Discontinuous Galerkin Method for Nonlinear Quasi-Static Poroelasticity Problems

    Fan Chen, Ming Cui, Chenguang Zhou
    2024-04-07
    20811 2413 Pages:201-220
  • Numerical Analysis of a Mixed Finite Element Approximation of a Coupled System Modeling Biofilm Growth in Porous Media with Simulations

    Azhar Alhammali, Malgorzata Peszynska, Choah Shin
    2024-01-03
    26502 2523 Pages:20-64
  • A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

    Xiu Ye, Shangyou Zhang
    2023-11-13
    22138 2029 Pages:855-869
  • A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations

    Dandan Wang, Yong Zhang, Hanquan Wang
    2023-05-22
    29092 2425 Pages:577-595
  • 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
    29626 2570 Pages:459-477
  • Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics

    Pelin G. Geredeli, Carson Givens, Ahmed Zytoon
    2023-03-30
    29644 2599 Pages:329-352
  • Monolithic and Partitioned Finite Element Schemes for FSI Based on an ALE Divergence-Free HDG Fluid Solver and a TDNNS Structural Solver

    Guosheng Fu
    2023-01-14
    28414 2672 Pages:267-312
  • A Spring–Beam System with Signorini’s Condition and the Normal Compliance Condition

    Jeongho Ahn, Nicholas Tate
    2022-11-28
    291843 3216 Pages:67-91
  • A Numerical Analysis of the Coupled Cahn-Hilliard/Allen-Cahn System with Dynamic Boundary Conditions

    Ahmad Makki, Alain Miranville, Madalina Petcu
    2022-08-22
    297297 2742 Pages:630-655
  • Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

    Xingwen Zhu, Mingyan He, Pengtao Sun
    2022-08-22
    297414 2852 Pages:603-629
  • An Immersed Crouzeix-Raviart Finite Element Method for Navier-Stokes Equations with Moving Interfaces

    Jin Wang, Xu Zhang, Qiao Zhuang
    2022-06-22
    38606 2687 Pages:563-586
  • Convergence Analysis of Nitsche Extended Finite Element Methods for H(Curl)-Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2022-06-22
    38226 2708 Pages:487-510
  • Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System

    Konstantinos Chrysafinos, Dimitrios Kostas
    2022-09-27
    40835 2802 Pages:404-423
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