Search Results - method for computing eigenvalues and eigenfunctions

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  1. 1

    A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm–Liouville Problems by Liu, Chein-Shan, Chang, Jiang-Ren, Shen, Jian-Hung, Chen, Yung-Wei

    ISSN: 2227-7390, 2227-7390
    Published: Basel MDPI AG 01.10.2022
    Published in Mathematics (Basel) (01.10.2022)
    “… A boundary shape function method (BSFM) was constructed to solve the SLPs of these two canonical forms…”
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    Journal Article
  2. 2

    A Lie-Group Shooting Method for Computing Eigenvalues and Eigenfunctions of Sturm-Liouville Problems by Liu, Chein-Shan

    ISSN: 1526-1492, 1526-1506
    Published: Henderson Tech Science Press 2008
    “…For the Sturm-Liouville eigenvalues problem we construct a very effective Lie-group shooting method (LGSM…”
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    Journal Article
  3. 3

    Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint by Khapaev, M. M., Khapaeva, T. M.

    ISSN: 0965-5425, 1555-6662
    Published: Moscow Pleiades Publishing 01.10.2016
    “…A functional-based variational method is proposed for finding the eigenfunctions and eigenvalues in the Sturm…”
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    Journal Article
  4. 4

    Numerical method for finding 3D solitons of the nonlinear Schrödinger equation in the axially symmetric case by Matusevich, O. V., Trofimov, V. A.

    ISSN: 0965-5425, 1555-6662
    Published: Dordrecht SP MAIK Nauka/Interperiodica 01.11.2009
    “… A numerical method is proposed to find soliton solutions of the problem, which is previously reformulated as an eigenvalue problem…”
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    Journal Article
  5. 5

    Two Very Accurate and Efficient Methods for Computing Eigenvalues and Eigenfunctions in Porous Convection Problems by Straughan, B., Walker, D.W.

    ISSN: 0021-9991, 1090-2716
    Published: Elsevier Inc 01.08.1996
    Published in Journal of computational physics (01.08.1996)
    “…We develop the compound matrix method and the Chebyshev tau method to be applicable to linear and nonlinear stability problems for convection in porous media, in a natural way…”
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    Journal Article
  6. 6

    A CONVERGENT ADAPTIVE METHOD FOR ELLIPTIC EIGENVALUE PROBLEMS by GIANI, S., GRAHAM, I. G.

    ISSN: 0036-1429, 1095-7170
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
    Published in SIAM journal on numerical analysis (01.01.2009)
    “…We prove the convergence of an adaptive linear finite element method for computing eigenvalues and eigenfunctions of second-order symmetric elliptic partial differential operators…”
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    Journal Article
  7. 7

    Approximate computation of eigenvalues and eigenfunctions of Sturm-Liouville differential operators by applying the theory of regularized traces by Kerimov, M. K.

    ISSN: 0965-5425, 1555-6662
    Published: Dordrecht SP MAIK Nauka/Interperiodica 01.03.2012
    “…This paper overviews studies dealing with the approximate computation of eigenvalues and eigenfunctions of Sturm-Liouville differential operators by applying methods of the theory of regularized traces…”
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    Journal Article
  8. 8

    Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for eigenvalues and eigenfunctions of the Laplace operator by Bielski, Sebastian

    ISSN: 0168-9274, 1873-5460
    Published: Elsevier B.V 01.11.2012
    Published in Applied numerical mathematics (01.11.2012)
    “…Two domain decomposition methods for computing eigenvalues and eigenfunctions of the Laplace operator on a bounded domain are presented…”
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    Journal Article
  9. 9

    Efficient computation for the eigenvalues and eigenfunctions of two-dimensional non-separable linear canonical transform by Tian, Yuru, Zhang, Feng

    ISSN: 2590-0374, 2590-0374
    Published: Elsevier B.V 01.11.2025
    Published in Results in applied mathematics (01.11.2025)
    “…), Fresnel transform, and other related transforms. Based on the analysis of the eigenvalues and eigenfunctions of these special transforms, this paper proposes an efficient method for computing the eigenvalues and eigenfunctions of the 2D-NSLCT…”
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    Journal Article
  10. 10

    Eigenfunctions of the Airyʼs integral transform: Properties, numerical computations and asymptotic behaviors by Karoui, Abderrazek, Mehrzi, Issam, Moumni, Taher

    ISSN: 0022-247X, 1096-0813
    Published: Elsevier Inc 15.05.2012
    “…This paper is devoted to the study of the spectrum of the integral operator with Airyʼs kernel. We provide the reader with some efficient methods of computing the eigenfunctions and the eigenvalues of this operator…”
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    Journal Article
  11. 11

    Computing eigenfunctions and eigenvalues of boundary value problems with the orthogonal spectral renormalization method by Cartarius, Holger, Musslimani, Ziad H, Schwarz, Lukas, Wunner, Günter

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 30.03.2018
    Published in arXiv.org (30.03.2018)
    “…) method to compute ground and excited states (and their respective eigenvalues) of linear and nonlinear eigenvalue problems…”
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    Paper
  12. 12

    On energy exchanges between eddies and the mean flow in quasigeostrophic turbulence by Barham, William, Grooms, Ian

    ISSN: 0022-1120, 1469-7645
    Published: Cambridge Cambridge University Press 25.02.2020
    Published in Journal of fluid mechanics (25.02.2020)
    “… We find analytical solutions in the Eady problem. We formulate a spectral method for computing eigenfunctions and eigenvalues, and compute solutions in Phillips-type and Charney-type problems…”
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    Journal Article
  13. 13

    A Study of the Eigenfunctions of the Singular Sturm–Liouville Problem Using the Analytical Method and the Decomposition Technique by Mukhtarov, Oktay Sh, Yücel, Merve

    ISSN: 2227-7390, 2227-7390
    Published: MDPI AG 01.03.2020
    Published in Mathematics (Basel) (01.03.2020)
    “… This work is aimed at computing the eigenvalues and eigenfunctions of singular two-interval Sturm–Liouville problems…”
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    Journal Article
  14. 14

    Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons by Colbrook, Matthew J., Fokas, Athanasisos S.

    ISSN: 0168-9274, 1873-5460
    Published: Elsevier B.V 01.04.2018
    Published in Applied numerical mathematics (01.04.2018)
    “…Recently a new transform method, called the Unified Transform or the Fokas method, for solving boundary value problems (BVPs…”
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    Journal Article
  15. 15

    Legendre approximation method for computing eigenvalues of fourth order fractional Sturm–Liouville problem by Aghazadeh, A., Mahmoudi, Y., Saei, F.D.

    ISSN: 0378-4754, 1872-7166
    Published: Elsevier B.V 01.04.2023
    Published in Mathematics and computers in simulation (01.04.2023)
    “… [0,L] to find numerical approximations for eigenvalues and corresponding eigenfunctions…”
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    Journal Article
  16. 16

    Internal Feature Selection Method of CSP Based on L1-Norm and Dempster-Shafer Theory by Jin, Jing, Xiao, Ruocheng, Daly, Ian, Miao, Yangyang, Wang, Xingyu, Cichocki, Andrzej

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Published: United States IEEE 01.11.2021
    “…The common spatial pattern (CSP) algorithm is a well-recognized spatial filtering method for feature extraction in motor imagery (MI…”
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    Journal Article
  17. 17

    Low-Latency and Reconfigurable VLSI-Architectures for Computing Eigenvalues and Eigenvectors Using CORDIC-Based Parallel Jacobi Method by Sharma, Rahul, Shrestha, Rahul, Sharma, Satinder K.

    ISSN: 1063-8210, 1557-9999
    Published: New York IEEE 01.08.2022
    “…This article proposes a low-latency parallel Jacobi-method-based algorithm for computing eigenvalues and eigenvectors of <inline-formula> <tex-math notation="LaTeX">n\times n </tex-math></inline-formula…”
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    Journal Article
  18. 18

    An Eigenfunction Expansion Method for EM Scattering by Arbitrary Shaped Multilayer Cylinders with Axially Biased Ferrite Layers by Aslanyurek, Birol, Gurbuz, Tolga Ulas

    ISSN: 1536-1225, 1548-5757
    Published: New York IEEE 01.08.2025
    “… In this study, we extend the method that we previously introduced for computing the electromagnetic fields scattered from arbitrary shaped multilayer cylinders with isotropic layers to those with…”
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    Journal Article
  19. 19

    A physics-informed graph neural network for computing Laplace-Beltrami eigenfunctions on manifolds by Lazzaro, Damiana, Morigi, Serena, Zuzolo, Paolo

    ISSN: 2169-3536, 2169-3536
    Published: IEEE 2025
    Published in IEEE access (2025)
    “…Eigenfunctions and the spectrum of the Laplace-Beltrami operator are fundamental tools in geometry processing, providing a robust framework for analyzing complex geometries…”
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    Journal Article
  20. 20

    An Auxiliary-Current Vector Norm Method for Computing the Cutoff Wavenumbers of Anisotropic Waveguides by Kouroublakis, Minas, Zouros, Grigorios P., Tsitsas, Nikolaos L.

    ISSN: 0018-9480, 1557-9670
    Published: New York IEEE 01.11.2023
    “…In this work, the auxiliary-current vector norm (ACVN)-based method of auxiliary sources (MAS…”
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    Journal Article