Suchergebnisse - method for computing eigenvalues and eigenfunctions

  1. 1

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

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.10.2022
    Veröffentlicht 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 von Liu, Chein-Shan

    ISSN: 1526-1492, 1526-1506
    Veröffentlicht: 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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  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 von Khapaev, M. M., Khapaeva, T. M.

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Moscow Pleiades Publishing 01.10.2016
    Veröffentlicht in Computational mathematics and mathematical physics (01.10.2016)
    “… A functional-based variational method is proposed for finding the eigenfunctions and eigenvalues in the Sturm …”
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  4. 4

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

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Dordrecht SP MAIK Nauka/Interperiodica 01.11.2009
    Veröffentlicht in Computational mathematics and mathematical physics (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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  5. 5

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

    ISSN: 0021-9991, 1090-2716
    Veröffentlicht: Elsevier Inc 01.08.1996
    Veröffentlicht 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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  6. 6

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

    ISSN: 0036-1429, 1095-7170
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
    Veröffentlicht 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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  7. 7

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

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Dordrecht SP MAIK Nauka/Interperiodica 01.03.2012
    Veröffentlicht in Computational mathematics and mathematical physics (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 von Bielski, Sebastian

    ISSN: 0168-9274, 1873-5460
    Veröffentlicht: Elsevier B.V 01.11.2012
    Veröffentlicht 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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  9. 9

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

    ISSN: 2590-0374, 2590-0374
    Veröffentlicht: Elsevier B.V 01.11.2025
    Veröffentlicht 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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  10. 10

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

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: Elsevier Inc 15.05.2012
    Veröffentlicht in Journal of mathematical analysis and applications (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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  11. 11

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

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 30.03.2018
    Veröffentlicht 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 von Barham, William, Grooms, Ian

    ISSN: 0022-1120, 1469-7645
    Veröffentlicht: Cambridge Cambridge University Press 25.02.2020
    Veröffentlicht 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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  13. 13

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

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: MDPI AG 01.03.2020
    Veröffentlicht 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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  14. 14

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

    ISSN: 0168-9274, 1873-5460
    Veröffentlicht: Elsevier B.V 01.04.2018
    Veröffentlicht 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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  15. 15

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

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

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

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Veröffentlicht: 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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  17. 17

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

    ISSN: 1063-8210, 1557-9999
    Veröffentlicht: 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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  18. 18

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

    ISSN: 1536-1225, 1548-5757
    Veröffentlicht: New York IEEE 01.08.2025
    Veröffentlicht in IEEE antennas and wireless propagation letters (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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  19. 19

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

    ISSN: 2169-3536, 2169-3536
    Veröffentlicht: IEEE 2025
    Veröffentlicht 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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  20. 20

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

    ISSN: 0018-9480, 1557-9670
    Veröffentlicht: 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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