Results 41 to 50 of about 12,585,660 (209)
Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem [PDF]
SIAM Journal on Numerical Analysis, 2019 To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is proposed, which removes the requirements of the positive definiteness of bilinear forms in the formulation of eigenvalue problems.
Chun'guang You, Hehu Xie, Xuefeng Liu
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FEAST for Differential Eigenvalue Problems [PDF]
SIAM Journal on Numerical Analysis, 2020 Expanded discussion for clarity in several places, revised statement of theorem 5.2 for ...
Andrew J. Horning, Alex Townsend
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Nonlocal eigenvalue problems with variable exponent
Moroccan Journal of Pure and Applied Analysis, 2018 We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
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A Two-Scale Discretization Scheme for Mixed Variational Formulation of Eigenvalue Problems
Abstract and Applied Analysis, 2012 This paper discusses highly efficient discretization schemes for mixed variational formulation of eigenvalue problems. A new finite element two-scale discretization scheme is proposed by combining the mixed finite element method with the shifted-inverse ...
Yidu Yang +4 more
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A full multigrid method for nonlinear eigenvalue problems [PDF]
Science China Mathematics, 2015 We introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main idea is to transform the solution of the nonlinear eigenvalue problem into a series of solutions of the corresponding linear boundary value problems on the ...
Shanghui Jia +3 more
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A linear eigenvalue algorithm for the nonlinear eigenvalue problem [PDF]
Numerische Mathematik, 2012 A nonlinear matrix eigenvalue problem (NMEP) \(T(\lambda)x=0\) is transformed without loss of generality into a standard form \(\lambda B(\lambda)x=x\) (\(T\) and \(B\) analytic in \(\Omega\subset\mathbb{C}\)). This is then transformed into a linear operator eigenvalue problem (LOEP) of the form \(\lambda\mathcal{B}\varphi=\varphi\) (\(\varphi\in C_ ...
Elias Jarlebring +2 more
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The eigenvalue problem for the $$\infty $$-Bilaplacian [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2017 24 pages; accepted; Journal: Nonlinear Differential Equations and ...
Nikos Katzourakis, Enea Parini
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On minmax characterization in non-linear eigenvalue problems
Bruno Pini Mathematical Analysis Seminar, 2022 This is a note based on the paper [20] written in collaboration with N. Fusco and Y. Zhang. The main goal is to introduce minimax type variational characterization of non-linear eigenvalues of the p-Laplacian and other results related to shape and ...
Shirsho Mukherjee
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International Journal of Mathematics and Mathematical Sciences, 1979 We show in this paper that the sequence {max|uk|}, where the uk are the eigenfunctions of the problem Δu+λu=0 in D⊂Rn and u=0 on ∂D, is not bounded generally if one imposes the norm ∫Du2p(x)dx=1, p=(1),2,3,….
Yves Biollay
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On a double eigenvalue problem [PDF]
Proceedings of the American Mathematical Society, 1954 where X = -1. Rembs [3] demonstrated the existence of a countably infinite set of such a's under the assumption that the functions p, q, and r are analytic on the interval [0, b], that q>0 and r >0 on the interval, and that p >0 on the open interval, but vanishes to the first order at each end.
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