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  • Numerical Solution of a Two-Dimensional Parabolic Transmission Problem

    B. S. Jovanovic, L. G. Volkov
    2018-08-15
    32335 3801 Pages:156-172
  • Laplace Transformation Method for the Black-Scholes Equation

    Hyoseop Lee, Dongwoo Sheen
    2009-06-01
    30782 2598 Pages:642-658
  • Dimension Splitting Method for 3D Rotating Compressible Navier-Stokes Equations in the Turbomachinery

    Kaitai Li, Demin Liu
    2009-08-07
    30777 2484 Pages:420-439
  • A Uniformly Optimal-Order Error Estimate of an ELLAM Scheme for Unsteady-State Advection-Diffusion Equations

    Kaixin Wang
    2008-05-01
    31040 2486 Pages:286-302
  • A Uniformly Convergent Method on Arbitrary Meshes for a Semilinear Convection-Diffusion Problem with Discontinuous Data

    Igor Boglaev, Sophie Pack
    2008-05-01
    32608 3666 Pages:24-39
  • Analysis of an Efficient Parameter Uniform Domain Decomposition Approach for Singularly Perturbed Gierer-Meinhardt Type Nonlinear Coupled Systems of Parabolic Problems

    Aakansha, Sunil Kumar, Pratibhamoy Das
    2025-04-29
    7257 604 Pages:459-482
  • A Conforming Discontinuous Galerkin Finite Element Method for Second-Order Parabolic Equation

    Fuchang Huo, Yuchen Sun, Jiageng Wu, Liyuan Zhang
    2025-03-14
    8229 732 Pages:432-458
  • Numerical NS Equations-Constrained Power Optimization of Wind Turbines Affected by Wake

    Yousef Akhavan, Michael Chen, Dong Liang
    2025-03-14
    8124 709 Pages:384-400
  • 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
    13999 1173 Pages:850-878
  • Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

    Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park
    2024-10-08
    13068 1092 Pages:652-673
  • 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
    21801 1703 Pages:315-352
  • Unconditionally Energy Stable and First-Order Accurate Numerical Schemes for the Heat Equation with Uncertain Temperature-Dependent Conductivity

    Joseph Anthony Fiordilino, Matthew Winger
    2023-11-13
    22457 1982 Pages:805-831
  • A Novel Deep Neural Network Algorithm for the Helmholtz Scattering Problem in the Unbounded Domain

    Andy L Yang
    2023-09-19
    24899 2185 Pages:724-738
  • Well-Posedness and Convergence Analysis of a Nonlocal Model with Singular Matrix Kernel

    Mengna Yang, Yufeng Nie
    2023-05-22
    28612 2478 Pages:478-496
  • A Fully Implicit Method Using Nodal Radial Basis Functions to Solve the Linear Advection Equation

    P.-A. Gourdain, M. Evans, H. R. Hasson, J. R. Young, I. West-Abdallah, M. B. Adams
    2023-03-30
    29343 2600 Pages:437-458
  • A Fractional-Order Alternative for Phase-Lagging Equation

    Cui-Cui Ji, Weizhong Dai, Ronald E. Mickens
    2023-03-30
    29484 2497 Pages:391-406
  • 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
  • A Multiscale Parallel Algorithm for Parabolic Integro-Differential Equation in Composite Media

    Fangman Zhai, Liqun Cao
    2022-06-22
    37349 2685 Pages:542-562
  • Clipping over Dissipation in Turbulence Models

    Kiera Kean, William Layton, Michael Schneier
    2022-09-27
    40912 2894 Pages:424-438
  • Convergence Analysis of Yee-FDTD Schemes for 3D Maxwell's Equations in Linear Dispersive Media

    ​Puttha Sakkaplangkul, Vrushali A. Bokil
    2021-05-25
    41418 2694 Pages:524-568
  • A Deep Learning Galerkin Method for the Second-Order Linear Elliptic Equations

    ​Jian Li, Wen Zhang, Jing Yue
    2021-05-25
    42884 2703 Pages:427-441
  • Stability of High Order Finite Difference Schemes with Implicit-Explicit Time-Marching for Convection-Diffusion and Convection-Dispersion Equations

    Meiqi Tan, Juan Cheng, Chi-Wang Shu
    2021-03-25
    39148 2661 Pages:362-383
  • Unique Solvability and Decomposition Method for One Nonlinear Multi-Dimensional Integro-Differential Parabolic Equation

    Temur Jangveladze, Zurab Kiguradze
    2020-10-27
    35614 2610 Pages:806-819
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36810 2711 Pages:767-793
  • Fitted Front Tracking Methods for Two-Phase Incompressible Navier–Stokes Flow: Eulerian and ALE Finite Element Discretizations

    Marco Agnese, Robert Nürnberg
    2020-08-04
    35812 2688 Pages:613-642
  • Numerical Investigation on Weak Galerkin Finite Elements

    Junping Wang, Xiu Ye, Shangyou Zhang
    2020-08-04
    33115 2694 Pages:517-531
  • Multilevel Finite Volume Methods for 2D Incompressible Navier-Stokes Equations

    J. K. Djoko, H. H. Gidey, B. D. Reddy
    2020-08-04
    33092 2755 Pages:485-516
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