Search Results - 65N25: Numerical methods for eigenvalue problems for boundary value problems involving PDEs*

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    FINITE-ELEMENT METHODS FOR SOLVING INITIAL-BOUNDARY VALUE PROBLEMS by HOUSTIS, ELIAS NICHOLAOS

    ISBN: 9798660633874
    Published: ProQuest Dissertations & Theses 01.01.1974
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    Dissertation
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    On the Convergence of a Spline Method for Singular Two Point Boundary Value Problems Arising in Physiology by Pandey, R. K.

    ISSN: 0020-7160, 1029-0265
    Published: Taylor & Francis Group 01.01.2002
    “…The second order spline method developed by Iyengar et al. [11] for the problems $$\eqalign{ x^{-\alpha}(x^\alpha y^\prime)^\prime & = f(x,y),\quad 0…”
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    Journal Article
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    NUMERICAL METHODS FOR APPROXIMATING EIGENVALUES OF BOUNDARY VALUE PROBLEMS by Usmani, Kiaz A., Isa, Mohammad

    ISSN: 0161-1712, 1687-0425
    Published: Hindawi Limiteds 1986
    “…This paper describes some new finite difference methods for the approximation of eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation of the type (py")"- (q y')' + (r - λs)y =0…”
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    Journal Article
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    Fast numerical methods for mixed, singular Helmholtz boundary value problems and Laplace eigenvalue problems—with applications to antenna design, sloshing, electromagnetic scattering and spectral geometry by Akhmetgaliyev, Eldar

    ISBN: 133906393X, 9781339063935
    Published: ProQuest Dissertations & Theses 01.01.2016
    “…This thesis presents a novel class of algorithms for the solution of scattering and eigenvalue problems on general two-dimensional domains under a variety of boundary conditions, including non-smooth…”
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    Dissertation
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    Numerical computation of eigenvalues of discontinuous Sturm–Liouville problems with parameter dependent boundary conditions using sinc method by Tharwat, M. M., Bhrawy, A. H., Yildirim, Ahmet

    ISSN: 1017-1398, 1572-9265
    Published: Boston Springer US 01.05.2013
    Published in Numerical algorithms (01.05.2013)
    “… Eigenvalue problems with eigenparameter appearing in the boundary conditions usually have complicated characteristic determinant where zeros cannot be explicitly computed…”
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    Journal Article
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    Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods by Holzmann, Markus, Unger, Gerhard

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 09.07.2019
    Published in arXiv.org (09.07.2019)
    “…'\)-interactions are studied. We show the self-adjointness of these operators and derive equivalent formulations for the eigenvalue problems involving boundary integral operators…”
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    Paper
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    Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions by El-Gamel, Mohamed

    ISSN: 2254-3902, 2281-7875
    Published: Milan Springer Milan 01.11.2014
    Published in SeMA journal (01.11.2014)
    “…–Liouville problems with parameter-dependent boundary conditions. The numerical results indicate that the chebychev method possesses a significant computational advantage…”
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    Journal Article
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    Solution of boundary eigenvalue problems and IBVP involving a system of PDEs using the successive linearization method by Narayana, M., Siddheshwar, P. G.

    ISSN: 0044-2267, 1521-4001
    Published: Weinheim Wiley Subscription Services, Inc 01.12.2023
    “…) and an initial boundary value problem (IBVP) arise. Spatial information on the periodicity of the convection cells is first used in the system of PDEs to make it possible for the successive linearization method (SLM) to be applied. The resulting much…”
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    Journal Article
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    Asymptotic methods for solving boundary value eigenvalue problems by Zhukova, Galina

    ISSN: 2267-1242, 2555-0403, 2267-1242
    Published: Les Ulis EDP Sciences 01.01.2020
    Published in E3S web of conferences (01.01.2020)
    “… It is shown that the problem of finding approximate large eigenvalues of boundary value problems is reduced to the analysis and solution of singularly perturbed differential equations with variable coefficients. Methods used…”
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    Journal Article Conference Proceeding
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    Solution of the nonlinear eigenvalue boundary-value problem for tm electromagnetic waves propagating in a Kerr-nonlinear layer by means of the cauchy problem method by Valovik, D. V., Zarembo, E. V.

    ISSN: 1064-2269, 1555-6557
    Published: Dordrecht SP MAIK Nauka/Interperiodica 01.01.2013
    “… A numerical method is proposed for solving the considered eigenvalue boundary-value problem…”
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    Journal Article
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    Maximum and anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues by Eloe, Paul W., Neugebauer, Jeffrey T.

    ISSN: 0719-0646, 0716-7776, 0719-0646
    Published: Universidad de La Frontera. Departamento de Matemática y Estadística 01.08.2023
    Published in Cubo (Temuco, Chile) (01.08.2023)
    “…It has been shown that, under suitable hypotheses, boundary value problems of the form, $Ly+\lambda y=f,$ $BC y =0$ where $L…”
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    Journal Article
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    TWO NEW FINITE DIFFERENCE METHODS FOR COMPUTING EIGENVALUES OF A FOURTH ORDER LINEAR BOUNDARY VALUE PROBLEM by Usmani, Riaz A., Sakai, Manabu

    ISSN: 0161-1712, 1687-0425
    Published: Hindawi Limiteds 1987
    “…This paper describes some new finite difference methods of order 2 and 4 for computing eigenvalues of a two-point boundary value problem associated with a fourth order differential equation of the form (py")"+(q-λr)y=0…”
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    Journal Article
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    A CONVERGENT ITERATION METHOD FOR SOLVING BOUNDARY VALUE AND EIGENVALUE PROBLEMS by MAHIG, JOSEPH

    ISBN: 9798658437170
    Published: ProQuest Dissertations & Theses 01.01.1962
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    Dissertation
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    On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems by Annaby, M. H., Asharabi, R. M.

    ISSN: 0036-1429, 1095-7170
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2008
    Published in SIAM journal on numerical analysis (01.01.2008)
    “…We aim in this paper to give a complete treatment of the error analysis of the use of the sine method in computing eigenvalues of second order Birkhoff-regular eigenvalue problems…”
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    Journal Article
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    An oscillation method for fourth-order, self-adjoint, two-point boundary value problems with nonlinear eigenvalues by GREENBERG, L

    ISSN: 0036-1410
    Published: Philadelphia, PA Society for Industrial and Applied Mathematics 1991
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    Journal Article
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    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