Search Results - compact multigrid algorithm

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  1. 1

    An extrapolation full multigrid algorithm combined with fourth-order compact scheme for convection–diffusion equations by Li, Ming, Zheng, Zhoushun, Pan, Kejia

    ISSN: 1687-1847, 1687-1839, 1687-1847
    Published: Cham Springer International Publishing 10.05.2018
    Published in Advances in difference equations (10.05.2018)
    “…In this paper, we propose an extrapolation full multigrid (EXFMG) algorithm to solve the large linear system arising from a fourth-order compact difference discretization of two-dimensional (2D…”
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    Journal Article
  2. 2

    Multigrid Iterative Algorithm based on Compact Finite Difference Schemes and Hermite interpolation for Solving Regime Switching American Options by Nwankwo, Chinonso, Dai, Weizhong

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 08.11.2021
    Published in arXiv.org (08.11.2021)
    “…We present a multigrid iterative algorithm for solving a system of coupled free boundary problems for pricing American put options with regime-switching…”
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    Paper
  3. 3

    Multigrid Iterative Algorithm based on Compact Finite Difference Schemes and Hermite interpolation for Solving Regime Switching American Options by Nwankwo, Chinonso, Dai, Weizhong

    Published: St. Louis Federal Reserve Bank of St. Louis 01.01.2020
    Published in IDEAS Working Paper Series from RePEc (01.01.2020)
    “…We present a multigrid iterative algorithm for solving a system of coupled free boundary problems for pricing American put options with regime-switching…”
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    Paper
  4. 4

    Revisiting the apparent horizon finding problem with multigrid methods by Hui, Hon-Ka, Lin, Lap-Ming

    ISSN: 0264-9381, 1361-6382
    Published: IOP Publishing 07.03.2025
    Published in Classical and quantum gravity (07.03.2025)
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    Journal Article
  5. 5

    A p-multigrid compact gas-kinetic scheme for steady-state acceleration by Ji, Xing, Shyy, Wei, Xu, Kun

    ISSN: 0045-7930, 1879-0747
    Published: Amsterdam Elsevier Ltd 15.06.2022
    Published in Computers & fluids (15.06.2022)
    “… The p-multigrid strategy is a two-level algorithm. On the high-order level, the CGKS with high-order compact initial reconstruction is used to evolve both cell…”
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    Journal Article
  6. 6

    A higher‐order unconditionally stable scheme for the solution of fractional diffusion equation by Ghaffar, Fazal, Ullah, Saif, Badshah, Noor, Khan, Najeeb Alam

    ISSN: 0170-4214, 1099-1476
    Published: Freiburg Wiley Subscription Services, Inc 15.03.2021
    “…In this paper, a higher‐order compact finite difference scheme with multigrid algorithm is applied for solving one…”
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    Journal Article
  7. 7

    High-order Adaptive Mesh Refinement multigrid Poisson solver in any dimension by Deriaz, Erwan

    ISSN: 0021-9991, 1090-2716
    Published: Elsevier Inc 01.05.2023
    Published in Journal of computational physics (01.05.2023)
    “… Vertex-centered mesh refinement and interpolation ease the implementation of a multigrid algorithm formulated in the general case for any stencil in any dimension…”
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    Journal Article
  8. 8

    Extrapolation multiscale multigrid method for solving 2D Poisson equation with sixth order compact scheme by Li, Ming, Zheng, Zhoushun, Pan, Kejia

    ISSN: 1598-5865, 1865-2085
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019
    Published in Journal of applied mathematics & computing (01.06.2019)
    “…We present an extrapolation multiscale multigrid (EMMG) algorithm to solve the large linear systems arising from a sixth order compact discretization of the two…”
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    Journal Article
  9. 9

    A Compact Multigrid Solver for Convection-Diffusion Equations by Gupta, Murli M., Kouatchou, Jules, Zhang, Jun

    ISSN: 0021-9991, 1090-2716
    Published: Elsevier Inc 15.03.1997
    Published in Journal of computational physics (15.03.1997)
    “…We introduce a multigrid algorithm to solve the convection- diffusion equations using a nine-point compact difference scheme…”
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    Journal Article
  10. 10

    Comparison of Second- and Fourth-Order Discretizations for Multigrid Poisson Solvers by Gupta, Murli M., Kouatchou, Jules, Zhang, Jun

    ISSN: 0021-9991, 1090-2716
    Published: Elsevier Inc 01.04.1997
    Published in Journal of computational physics (01.04.1997)
    “…We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions…”
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    Journal Article
  11. 11

    A compact fourth-order finite difference scheme for the three-dimensional Cahn–Hilliard equation by Li, Yibao, Lee, Hyun Geun, Xia, Binhu, Kim, Junseok

    ISSN: 0010-4655, 1879-2944
    Published: Elsevier B.V 01.03.2016
    Published in Computer physics communications (01.03.2016)
    “… The resulting system of discrete equations is solved by using a multigrid. We demonstrate the performance of our proposed algorithm by several numerical experiments…”
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    Journal Article
  12. 12

    Multigrid cell-centered techniques for high-order incompressible flow numerical solutions by Mathioudakis, Emmanuel N., Mandikas, Vassilios G., Kozyrakis, Georgios V., Kampanis, Nikolaos A., Ekaterinaris, John A.

    ISSN: 1270-9638, 1626-3219
    Published: Elsevier Masson SAS 01.05.2017
    Published in Aerospace science and technology (01.05.2017)
    “… Iterative methods based on multigrid techniques accelerate the most demanding part of the overall solution algorithm, which is the numerical solution of the arised large and sparse linear system…”
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    Journal Article
  13. 13

    An Extrapolation Cascadic Multigrid Method Combined with a Fourth-Order Compact Scheme for 3D Poisson Equation by Pan, Kejia, He, Dongdong, Hu, Hongling

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.03.2017
    Published in Journal of scientific computing (01.03.2017)
    “…Extrapolation cascadic multigrid (EXCMG) method is an efficient multigrid method which has mainly been used for solving the two-dimensional elliptic boundary…”
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    Journal Article
  14. 14

    High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems by Zhang, Lin, Ge, Yongbin, Yang, Xiaojia, Zhang, Yagang

    ISSN: 0020-7160, 1029-0265
    Published: Abingdon Taylor & Francis 03.07.2023
    “… Convergence and stability of the new scheme are analysed by the energy method. On the basis of the novel scheme, a multigrid algorithm is established such that a time advancement algorithm for solving these nonlinear problems are obtained…”
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    Journal Article
  15. 15

    A compact gas-kinetic scheme with scalable hp multigrid acceleration for steady-state computation on 3D unstructured meshes by Liu, Hongyu, Ji, Xing, Mao, Yunpeng, Ding, Yuan, Xu, Kun

    ISSN: 0010-4655
    Published: Elsevier B.V 01.12.2025
    Published in Computer physics communications (01.12.2025)
    “…In this paper, we present an advanced high-order compact gas-kinetic scheme (CGKS) for 3D unstructured mixed-element meshes, augmented with a hp multigrid technique to accelerate steady-state convergence…”
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    Journal Article
  16. 16

    An efficient multiscale‐like multigrid computation for 2D convection‐diffusion equations on nonuniform grids by Li, Ming, Zheng, Zhoushun

    ISSN: 0170-4214, 1099-1476
    Published: Freiburg Wiley Subscription Services, Inc 15.03.2021
    “…An efficient multiscale‐like multigrid (MSLMG) method combined with a high‐order compact (HOC) difference scheme on nonuniform grids is presented to solve the two…”
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    Journal Article
  17. 17

    Fourier Analysis of Multigrid Methods on Hexagonal Grids by Zhou, Guohua, Fulton, Scott R.

    ISSN: 1064-8275, 1095-7197
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
    Published in SIAM journal on scientific computing (01.01.2009)
    “…This paper applies local Fourier analysis to multigrid methods on hexagonal grids…”
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    Journal Article
  18. 18

    An efficient, high-order method for solving Poisson equation for immersed boundaries: Combination of compact difference and multiscale multigrid methods by Hosseinverdi, Shirzad, Fasel, Hermann F.

    ISSN: 0021-9991, 1090-2716
    Published: Cambridge Elsevier Inc 01.12.2018
    Published in Journal of computational physics (01.12.2018)
    “… The approach is based on a combination of a fourth-order compact finite difference scheme and a multiscale multigrid (MSMG) method…”
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    Journal Article
  19. 19

    Fast and High Accuracy Multigrid Solution of the Three Dimensional Poisson Equation by Zhang, Jun

    ISSN: 0021-9991, 1090-2716
    Published: Elsevier Inc 01.07.1998
    Published in Journal of computational physics (01.07.1998)
    “…We employ a fourth-order compact finite difference scheme (FOS) with the multigrid algorithm to solve the three dimensional Poisson equation…”
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    Journal Article
  20. 20

    Cascadic multigrid methods combined with sixth order compact scheme for poisson equation by Ming, Li, Chen-liang, Li, Xiang-zhao, Cui, Jin-e, Zhao

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.04.2016
    Published in Numerical algorithms (01.04.2016)
    “…Based on the extrapolation theory and a sixth order compact difference scheme, new extrapolation interpolation operator and extrapolation cascadic multigrid methods for two dimensional Poisson equation are presented…”
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    Journal Article