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  • Accuracy Enhancement Using Spectral Postprocessing for Differential Equations and Integral Equations

    Tao Tang, Xiang Xu
    2018-04-11
    41830 3664 pp. 779-792
  • High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids

    Yuzhi Sun, Z. J. Wang, Yen Liu
    2018-03-24
    39878 3926 pp. 310-333
  • Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

    Dianming Hou, Mejdi Azaïez, Chuanju Xu
    2019-08-27
    DOI:10.4208/cicp.2019.js60.04
    54236 3709 pp. 1415-1443
  • Unfitted Spectral Element Method for Interfacial Models

    Nicolas Gonzalez, Hailong Guo, Xu Yang
    2025-09-05
    DOI:10.4208/cicp.OA-2024-0056
    3693 376 pp. 987-1016
  • Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

    Chong Sun, Yinhua Xia
    2019-04-04
    DOI:10.4208/cicp.OA-2018-0067
    46204 3379 pp. 531-557
  • Fekete-Gauss Spectral Elements for Incompressible Navier-Stokes Flows: The Two-Dimensional Case

    Laura Lazar, Richard Pasquetti, Francesca Rapetti
    2013-05-05
    DOI:10.4208/cicp.180112.110612a
    40254 4468 pp. 1309-1329
  • A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schrödinger Eigenvalue Problem with an Inverse Square Potential

    Shusheng Li, Lueling Jia, Qilong Zhai, Zhimin Zhang
    2026-04-10
    DOI:10.4208/cicp.OA-2024-0232
    185 56 pp. 263-296
  • Galerkin-Laguerre Spectral Solution of Self-Similar Boundary Layer Problems

    F. Auteri, L. Quartapelle
    2012-12-01
    DOI:10.4208/cicp.130411.230911a
    42796 4016 pp. 1329-1358
  • Fast Spectral Collocation Method for Surface Integral Equations of Potential Problems in a Spheroid

    Zhenli Xu, Wei Cai
    2009-06-01
    39263 3976 pp. 625-638
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0100
    49556 3195 pp. 1224-1248
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    DOI:10.4208/cicp.OA-2023-0206
    28531 2751 pp. 160-180
  • 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
    41169 3627 pp. 600-619
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    DOI:10.4208/cicp.OA-2022-0270
    47456 3098 pp. 1270-1331
  • Exponential Compact Higher Order Scheme for Nonlinear Steady Convection-Diffusion Equations

    Y. V. S. S. Sanyasiraju, Nachiketa Mishra
    2011-09-01
    DOI:10.4208/cicp.171209.300710a
    38898 3890 pp. 897-916
  • 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
    DOI:10.4208/cicp.OA-2017-0074
    67902 5550 pp. 123-151
  • Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations

    Haiyang Gao, Z. J. Wang, H. T. Huynh
    2013-08-05
    DOI:10.4208/cicp.020611.090312a
    43774 4169 pp. 1013-1044
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    DOI:10.4208/cicp.2019.js60.10
    50877 3663 pp. 1335-1364
  • A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations

    Yuling Guo, Jianguo Huang
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0181
    41962 3269 pp. 542-571
  • On the Spurious Mode Generation Induced by Spectral-Like Optimized Interpolation Schemes Used in Computational Acoustics

    Guilherme Cunha, Stephane Redonnet
    2018-04-04
    DOI:10.4208/cicp.060515.161115b
    39731 3179 pp. 325-352
  • Effect of Element Distortion on the Numerical Dispersion of Spectral Element Methods

    S. P. Oliveira, G. Seriani
    2011-09-01
    DOI:10.4208/cicp.071109.080710a
    38613 3939 pp. 937-958
  • Direct Vlasov Solvers with High-Order Spectral Element Method

    Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen
    2010-08-01
    DOI:10.4208/cicp.080409.051009a
    39619 4626 pp. 159-184
  • Spectral Elliptic Solvers in a Finite Cylinder

    F. Auteri, L. Quartapelle
    2018-04-11
    42126 3784 pp. 426-441
  • Spectral Methods for Resolving Spike Dynamics in the Geirer-Meinhardt Model

    Michael McCourt, Nicholas Dovidio, Michael Gilbert
    2008-03-01
    41840 3894 pp. 659-678
  • An Efficient Spectral Method for Acoustic Scattering from Rough Surfaces

    Dongbin Xiu, Jie Shen
    2007-02-01
    38655 4549 pp. 54-72
  • 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
    DOI:10.4208/cicp.scpde14.37s
    41926 3262 pp. 1141-1166
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang, Yinhua Xia
    2018-10-11
    DOI:10.4208/cicp.OA-2017-0204
    45935 3465 pp. 532-563
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan, Zhijian Wang
    2012-12-01
    DOI:10.4208/cicp.270311.060711a
    40876 4741 pp. 247-260
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