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Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 10/2016, Volume 310, pp. 33 - 57
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2014, Volume 47, Issue 23, pp. 235204 - 15
This paper presents an asymptotic study of the differential equation y' (x) = cos[pi xy(x)] subject to the initial condition y(0) = a. While this differential... 
semiclassical | separatrix | WKB, asymptotic | asymptotic | eigenvalue | WKB | PARTIAL SUMS | PHYSICS, MULTIDISCIPLINARY | POWER SERIES | PHYSICS, MATHEMATICAL | Asymptotic properties | Mathematical analysis | Differential equations | Eigenvalues | Nonlinearity | Constants | Mathematical models | Schroedinger equation
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 05/2012, Volume 436, Issue 10, pp. 3839 - 3863
We propose a numerical method for computing all eigenvalues (and the corresponding eigenvectors) of a nonlinear holomorphic eigenvalue problem that lie within... 
Contour integrals | Nonlinear eigenvalue problems | Numerical methods | MATHEMATICS | MATHEMATICS, APPLIED | MATRIX FUNCTIONS | PROJECTION METHOD | ARNOLDI METHOD
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 08/2019, Volume 129, pp. 629 - 644
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 05/2017, Volume 110, Issue 8, pp. 776 - 800
Journal Article
Communications on Pure and Applied Analysis, ISSN 1534-0392, 05/2019, Volume 18, Issue 3, pp. 1403 - 1431
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 07/2015, Volume 25, Issue 8, pp. 1421 - 1445
The aim of this paper is to develop a virtual element method for the two-dimensional Steklov eigenvalue problem. We propose a discretization by means of the... 
error estimates | Steklov eigenvalue problem | Virtual element method | CONTAINERS | RESONANT FREQUENCIES | MATHEMATICS, APPLIED | APPROXIMATION | FLUID | REGULARITY | FORMULATION | BAFFLE
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2016, Volume 292, pp. 526 - 540
Journal Article
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, ISSN 1537-9582, 05/2019, Volume 35, pp. 187 - 203
This work deals with the eigenvalue analysis of a rational matrix-valued function subject to complementarity constraints induced by a polyhedral cone K. The... 
MATHEMATICS | Rational matrix-valued function | Polyhedral cone | Facial reduction technique | Complementarity problem | LINEARIZATIONS | Linearization method | Nonlinear eigenvalue problem
Journal Article
Rivista di Matematica della Universita di Parma, ISSN 0035-6298, 2014, Volume 5, Issue 2, pp. 373 - 386
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 01/2020, Volume 190, p. 111607
We consider a nonlinear eigenvalue problem for some elliptic equations governed by general operators including the p-Laplacian. The natural framework in which... 
Harnack inequality | Nonlinear eigenvalue problems | Orlicz–Sobolev spaces | MATHEMATICS | MATHEMATICS, APPLIED | Orlicz-Sobolev spaces | 1ST EIGENVALUE | DIFFERENTIAL-OPERATORS | Eigenvalues | Maximum principle | Elliptic functions | Mathematical analysis | Sobolev space | Eigen values
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2019, Volume 578, pp. 272 - 296
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2014, Volume 35, Issue 3, pp. 819 - 834
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 06/2019, Volume 29, Issue 6, p. 1950084
We focus on the structure of the solution set for the nonlinear equation u = L ( λ ) u + H ( λ , u ) , where L ( ⋅ ) and H ( λ , u ) are continuous operators.... 
homogeneous operator | P-LAPLACIAN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Monge-Ampere equation | REGULARITY | MULTIDISCIPLINARY SCIENCES | 1ST EIGENVALUE | DIRICHLET PROBLEM | REAL | ELLIPTIC-EQUATIONS | one-sign solution | Global bifurcation
Journal Article
BIT Numerical Mathematics, ISSN 0006-3835, 12/2012, Volume 52, Issue 4, pp. 933 - 951
This work is concerned with numerical methods for matrix eigenvalue problems that are nonlinear in the eigenvalue parameter. In particular, we focus on... 
Boundary element formulation | 47J10 | Computational Mathematics and Numerical Analysis | Numeric Computing | 41A10 | Krylov subspace method | Mathematics, general | Mathematics | 35P30 | Nonlinear eigenvalue problem | Chebyshev interpolation | Linearization | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED
Journal Article
SIAM Review, ISSN 0036-1445, 2015, Volume 57, Issue 4, pp. 585 - 607
Let T : Omega -> C-nXn be a matrix-valued function that is analytic on some simply connected domain Omega subset of C. A point lambda is an element of Omega is... 
Perturbation theory | Pseudospectra | Nonlinear eigenvalue problems | Gershgorin's theorem | nonlinear eigenvalue problems | MATHEMATICS, APPLIED | MATRIX FUNCTIONS | perturbation theory | BACKWARD ERROR | ALGEBRAIC-CURVES | PERTURBATION | pseudospectra | ALGORITHMS | Eigenvalues | Usage | Perturbation (Mathematics) | Differential equations
Journal Article
Journal of Computational Science, ISSN 1877-7503, 07/2018, Volume 27, pp. 107 - 117
•The Cauchy integral from the FEAST algorithm can be modified to solve nonlinear eigenvalue problems.•FEAST for nonlinear eigenvalue problems iteratively... 
Quadratic eigenvalue problem | FEAST | Residual inverse iteration | Polynomial eigenvalue problem | Contour integration | Nonlinear eigenvalue problem | ITERATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, THEORY & METHODS | ARNOLDI METHOD | Eigenvalues | Algorithms | Research
Journal Article
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