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  • A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations

    Pengcheng Song, Tiannan Yang, Yanzhou Ji, Zhuo Wang, Zhigang Yang, Longqing Chen & Lei Chen
    2018-04-09
    42295 3668 Pages:1325-1349
  • High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

    Liang Wu, Yong-Tao Zhang, Shuhai Zhang & Chi-Wang Shu
    2018-04-04
    40482 3195 Pages:835-869
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphaël Loubère, Michael Dumbser & Steven Diot
    2014-12-08
    39581 3854 Pages:718-763
  • A Novel Numerical Method of O(h4 ) for Three-Dimensional Non-Linear Triharmonic Equations

    R. K. Mohanty, M. K. Jain & B. N. Mishra
    2012-12-01
    42638 3938 Pages:1417-1433
  • A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition

    Yuqi Wu & Xiao-Chuan Cai
    2020-07-31
    39310 3995 Pages:1279-1299
  • A Finite Element Method for Modelling Electromechanical Wave Propagation in Anisotropic Piezoelectric Media

    S. Rahman, H. P. Langtangen & C. H. W. Barnes
    2018-03-24
    39339 3748 Pages:271-292
  • Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function

    Shupei Yu, Qiaolin He, Shiquan Zhang, Qihong Yang, Yu Yang, Helin Gong
    2026-01-18
    227 42 Pages:1231-1266
  • Loss Jump During Loss Switch in Solving PDEs with Neural Networks

    Zhiwei Wang, Lulu Zhang, Zhongwang Zhang, Zhi-Qin John Xu
    2024-10-29
    17403 1163 Pages:1090-1112
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    9293 537 Pages:975-1007
  • Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network

    Raphaël Côte, Emmanuel Franck, Laurent Navoret, Guillaume Steimer, Vincent Vigon
    2025-09-02
    11762 870 Pages:315-352
  • Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

    Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo
    2020-07-30
    39695 3236 Pages:1380-1416
  • The Recursive Formulation of Particular Solutions for Some Elliptic PDEs with Polynomial Source Functions

    J. Ding, H. Y. Tian & C. S. Chen
    2009-05-01
    38748 3865 Pages:942-958
  • Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors

    Kai Bergermann, Carsten Deibel, Roland Herzog, Roderick C. I. MacKenzie, Jan-Frederik Pietschmann, Martin Stoll
    2023-08-14
    34830 3652 Pages:1-17
  • Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

    Xavier Antoine, Emmanuel Lorin
    2020-02-23
    47689 3315 Pages:1032-1052
  • Solution of Cauchy Problems by the Multiple Scale Method of Particular Solutions Using Polynomial Basis Functions

    Ji Lin, Yuhui Zhang, Thir Dangal & C. S. Chen
    2018-09-17
    44541 3573 Pages:1409-1434
  • Computing Optimal Forcing Using Laplace Preconditioning

    M. Brynjell-Rahkola, L. S. Tuckerman, P. Schlatter & D. S. Henningson
    2017-11-02
    42719 3603 Pages:1508-1532
  • Lattice Boltzmann Schemes with Relative Velocities

    François Dubois, Tony Fevrier & Benjamin Graille
    2018-04-02
    38895 3093 Pages:1088-1112
  • A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

    Wenjun Ying & Wei-Cheng Wang
    2020-07-31
    41066 3900 Pages:1108-1140
  • Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

    Shanshan Jiang, Lijin Wang & Jialin Hong
    2014-08-05
    41503 3991 Pages:393-411
  • Efficient Solution of a Generalized Eigenvalue Problem Arising in a Thermoconvective Instability

    M. C. Navarro, H. Herrero, A. M. Mancho & A. Wathen
    2018-03-24
    39637 4079 Pages:308-329
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