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  • 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
  • Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

    M. J. Baines, M. E. Hubbard & P. K. Jimack
    2011-10-01
    39903 4885 Pages:509-576 Open-access
  • Reduction of Linear Systems of ODEs with Optimal Replacement Variables

    Alex Solomonoff & Wai Sun Don
    2011-03-05
    39265 3985 Pages:756-779
  • Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

    Eveline Rosseel, Herbert De Gersem & Stefan Vandewalle
    2010-08-01
    76 35 Pages:947-975 Open-access
  • An Efficient Algorithm to Simulate a Brownian Motion Over Irregular Domains

    S. Zein, A. Lejay & M. Deaconu
    2010-08-01
    40404 3901 Pages:901-916
  • Spurious Solutions in the Multiband Effective Mass Theory Applied to Low Dimensional Nanostructures

    B. Lassen, R. V. N. Melnik & M. Willatzen
    2009-06-01
    37622 4115 Pages:699-729
  • Galerkin Method for Wave Equations with Uncertain Coefficients

    David Gottlieb & Dongbin Xiu
    2018-03-24
    39791 4193 Pages:505-518
  • Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

    J. Hong, S. Jiang, C. Li & H. Liu
    2007-02-01
    38995 3917 Pages:662-683
  • Variations on Hermite Methods for Wave Propagation

    Arturo Vargas, Jesse Chan, Thomas Hagstrom & Timothy Warburton
    2018-04-09
    41989 3352 Pages:303-337
  • An Efficient Operator-Splitting Method for Noise Removal in Images

    D. Krishnan, P. Lin & X.-C. Tai
    2006-01-01
    39416 3986 Pages:847-858
  • Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

    Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang
    2024-12-02
    201 54 Pages:1262-1306
  • A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

    Xinyu Liu, Jie Shen, Xiangxiong Zhang
    2024-12-02
    205 44 Pages:1157-1185
  • Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient

    Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller
    2024-10-09
    185 58 Pages:711-780
  • Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes

    Changtao Sheng, Li-Lian Wang, Hongbin Chen, Huiyuan Li
    2024-10-09
    199 65 Pages:673-710
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    186 67 Pages:485-520
  • Convergence Analysis of PINNs with Over-Parameterization

    Mo Chen, Zhao Ding, Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang
    2025-04-27
    237 58 Pages:942-974
  • Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

    Rik Verbiest, Julian Koellermeier
    2025-09-02
    387 59 Pages:810-848
  • Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

    Taeyoung Kim, Myungjoo Kang
    2025-09-02
    204 76 Pages:420-456
  • Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

    Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo
    2020-07-30
    39635 3209 Pages:1380-1416
  • 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
  • On the Anisotropic Gaussian Velocity Closure for Inertial-Particle Laden Flows

    Aymeric Vié, François Doisneau, Marc Massot
    2018-04-02
    42556 4378 Pages:1-46
  • A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

    Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu
    2025-11-28
    935 45 Pages:387-416
  • Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

    Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis
    2023-11-08
    31686 2665 Pages:1133-1176
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