Výsledky vyhledávání - numerical computation of eigenvalues and eigenfunctions

Nonlinear eigenvalue problem for a system of ordinary differential equations subject to a nonlocal condition Autor Abramov, A. A., Yukhno, L. F.

“…For a system of linear ordinary differential equations supplemented with a nonlocal condition specified by the Stieltjes integral, the problem of calculating the eigenvalues belonging to a given…”
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Asymptotic behaviors and numerical computations of the eigenfunctions and eigenvalues associated with the classical and circular prolate spheroidal wave functions Autor Karoui, Abderrazek, Mehrzi, Issam

“… The prolate spheroidal wave functions have already found many applications from various scientific area such as signal processing, numerical analysis, Physics and random matrix theory…”
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The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations Autor Baeyens, Toon, Van Daele, Marnix

“… 3.0 currently allows the accurate, but in comparison to Matslise 2.0, faster computation of eigenvalues and eigenfunctions of one dimensional time-independent Schrödinger problems…”
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On the calculation of the finite Hankel transform eigenfunctions Autor Amodio, P., Levitina, T., Settanni, G., Weinmüller, E. B.

“…In this work, we discuss the numerical computation of the eigenvalues and eigenfunctions of the finite (truncated…”
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Computation of Eigenvalues and Eigenfunctions in the Solution of Eddy Current Problems Autor Theodoulidis, Theodoros, Skarlatos, Anastassios, Tytko, Grzegorz

“… The computation of the complex eigenvalue spectrum must be very accurate since losing or misplacing one of the thereto linked modes will have an important impact on the field solution…”
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First Exit Times of Harmonically Trapped Particles: A Didactic Review Autor Grebenkov, D S

“… We also present a rapidly converging series representation of confluent hypergeometric functions that is particularly well suited for numerical computation of eigenvalues and eigenfunctions…”
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Fast Computation of High-Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann-to-Dirichlet Map Autor Barnett, Alex, Hassell, Andrew

“…We present a new algorithm for numerical computation of large eigenvalues and associated eigenfunctions of the Dirichlet Laplacian in a smooth, star‐shaped domain in ℝd, d ≥ 2…”
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Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms Autor Baeyens, Toon, Van Daele, Marnix

“…, for the orthonormalization of eigenfunctions, for automatic step size selection and for the accurate computation of integrals…”
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On an Exact Convergence of Quasi-Periodic Interpolations for the Polyharmonic–Neumann Eigenfunctions Autor Poghosyan, Arnak, Poghosyan, Lusine, Barkhudaryan, Rafayel

“…Fourier expansions employing polyharmonic–Neumann eigenfunctions have demonstrated improved convergence over those using the classical trigonometric system, due to the rapid decay of their Fourier coefficients…”
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Practical computation of the diffusion MRI signal of realistic neurons based on Laplace eigenfunctions Autor Li, Jing‐Rebecca, Tran, Try Nguyen, Nguyen, Van‐Dang

“…‐structures of interest. A closed form representation of this reference diffusion MRI signal called matrix formalism, which makes explicit the link between the Laplace eigenvalues and eigenfunctions of the biological cell…”
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Practical computation of the diffusion MRI signal based on Laplace eigenfunctions: permeable interfaces Autor Agdestein, Syver Døving, Tran, Try Nguyen, Li, Jing‐Rebecca

“…‐structures of interest. A closed form representation of this reference diffusion MRI signal, called matrix formalism, which makes explicit the link between the Laplace eigenvalues and eigenfunctions of the tissue geometry…”
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Efficient Computation of Electromagnetic Waves Under Cylindrical Geometries Using Spectral Numerical Mode Matching (SNMM) Method Autor Dai, Junwen, Wang, Dezhi, Fang, Yuan, Liu, Qing Huo

“…The numerical mode matching (NMM) method is a widely used semianalytical approach for modeling the propagation of electromagnetic (EM…”
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Computation of the Eigenvalues for Bounded Domain Eddy-Current Models With Coupled Regions Autor Vasic, Darko, Ambrus, Davorin, Bilas, Vedran

“…; 2) zero levelsets; and 3) region enclosing the zeros. These properties allow the construction of reliable and efficient algorithms for the eigenvalue computation…”
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A POD reduced-order model for eigenvalue problems with application to reactor physics Autor Buchan, A. G., Pain, C. C., Fang, F., Navon, I. M.

“…‐dependent eigenfunction solutions are therefore used to construct the snapshot matrix. The reduced order model's capabilities in efficiently resolving eigenvalue problems…”
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Planetary Normal Mode Computation: Parallel Algorithms, Performance, and Reproducibility Autor Shi, Jia, Li, Ruipeng, Xi, Yuanzhe, Saad, Yousef, de Hoop, Maarten V.

“… The proposed method is ideally suited for computing interior eigenpairs for large-scale eigenvalue problems as it greatly enhances memory and computational efficiency…”
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Derivation and Computation of Surface Differential Equations for the Induced Current on Perfectly Electrically Conducting Objects in Electromagnetics Autor Chen, Xiaojie

“… A numerical method based on SDEs is proposed, which is named the eigenmode theory in this article…”
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Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition Autor Şen, Erdoğan, Bayramov, Azad

“… We obtained asymptotic formulas for the eigenvalues and eigenfunctions…”
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Eigenfunctions of the Airyʼs integral transform: Properties, numerical computations and asymptotic behaviors Autor Karoui, Abderrazek, Mehrzi, Issam, Moumni, Taher

“…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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Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems Autor Bäcker, Arnd

“… The quantization of area--preserving maps given by their generating function is discussed and for the computation of the eigenvalues a computer program in Python is presented…”
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Eigenvalues and eigenfunctions of one-dimensional fractal Laplacians defined by iterated function systems with overlaps Autor Chen, Jie, Ngai, Sze-Man

“… This allows us to obtain numerical solutions by using the finite element method. We also prove that the numerical eigenvalues and eigenfunctions converge to the true ones, and obtain estimates for the rates of convergence…”
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