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  • A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

    Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson
    2021-02-25
    48292 3371 Pages:979-1029
  • Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

    Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu & Mengping Zhang
    2019-04-28
    48553 3302 Pages:631-653
  • Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains

    Tao Tang, Huifang Yuan & Tao Zhou
    2020-07-31
    49313 4810 Pages:1143-1168 Open-access
  • A Numerical Comparison of Outflow Boundary Conditions for Spectral Element Simulations of Incompressible Flows

    C. Xu & Y. Lin
    2007-02-01
    38511 4147 Pages:477-500
  • Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT

    Weizhu Bao, Qinglin Tang, Yong Zhang
    2020-07-31
    41784 3209 Pages:1141-1166
  • Q Inversion and Comparison of Influential Factors among Three Methods: CFS, SR, and AA

    Yinting Wu, J. T. Wu
    2020-06-05
    48588 4224 Pages:356-371
  • Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods

    Elliott S. Wise, Ben T. Cox & Bradley E. Treeby
    2017-11-02
    42693 3508 Pages:1286-1308
  • Some Recent Advances on Spectral Methods for Unbounded Domains

    Jie Shen & Li-Lian Wang
    2018-04-11
    42896 3946 Pages:195-241
  • Accuracy Enhancement Using Spectral Postprocessing for Differential Equations and Integral Equations

    Tao Tang & Xiang Xu
    2018-04-11
    41679 3605 Pages:779-792
  • Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

    Dianming Hou, Mejdi Azaïez, Chuanju Xu
    2019-08-27
    53989 3634 Pages:1415-1443
  • Fast Numerical Methods for Stochastic Computations: A Review

    Dongbin Xiu
    2018-04-11
    44058 4513 Pages:242-272
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49349 3127 Pages:1224-1248
  • The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

    Zhennan Zhou & Giovanni Russo
    2019-04-04
    47304 5408 Pages:469-505 Open-access
  • Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

    Sigal Gottlieb & Jae-Hun Jung
    2018-04-11
    41000 3576 Pages:600-619
  • Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws

    B. Costa, W. S. Don, D. Gottlieb & R. Sendersky
    2006-01-01
    61 29 Pages:548-574
  • Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws

    B. Costa, W. S. Don, D. Gottlieb & R. Sendersky
    2006-01-01
    38333 4006 Pages:548-574
  • High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

    Nan Zhang, Zhiping Mao, Tao Xiong
    2023-01-24
    38863 3109 Pages:1474-1509
  • Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrödinger Equation with Trapped Term

    Jialin Hong & Linghua Kong
    2010-07-01
    39809 3653 Pages:613-630
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67668 5387 Pages:123-151
  • Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

    Chong Sun & Yinhua Xia
    2019-04-04
    46021 3329 Pages:531-557
  • Effect of Element Distortion on the Numerical Dispersion of Spectral Element Methods

    S. P. Oliveira & G. Seriani
    2011-09-01
    38484 3871 Pages:937-958
  • Fekete-Gauss Spectral Elements for Incompressible Navier-Stokes Flows: The Two-Dimensional Case

    Laura Lazar, Richard Pasquetti & Francesca Rapetti
    2013-05-05
    40124 4407 Pages:1309-1329
  • A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity

    W. M. Feng, P. Yu, S. Y. Hu, Z. K. Liu, Q. Du & L. Q. Chen
    2018-04-11
    42271 4203 Pages:582-599
  • On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

    T. Arens, S. N. Chandler-Wilde & J. A. DeSanto
    2020-07-31
    38787 3833 Pages:1010-1042
  • Navier-Stokes Spectral Solver in a Finite Cylinder

    F. Auteri, M. Biava & L. Quartapelle
    2010-08-01
    40365 4251 Pages:663-689
  • On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

    Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou
    2022-07-06
    42828 3639 Pages:222-258
  • $H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem

    Yidu Yang, Jiayu Han, Hai Bi
    2020-08-27
    49404 3189 Pages:1366-1388
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