Results 1 to 10 of about 75,653 (78)

Implementation of Basic Operations for Sparse Matrices when Solving a Generalized Eigenvalue Problem in the ACELAN-COMPOS Complex

Advanced Engineering Research, 2023
Introduction. The widespread use of piezoelectric materials in various industries stimulates the study of their physical characteristics and determines the urgency of such research.
P. A. Oganesyan, O. O. Shtein
doaj   +1 more source

Kinematic dynamo action in a sphere. I. Effects of differential rotation and meridional circulation on solutions with axial dipole symmetry [PDF]

, 2000
A sphere containing electrically conducting fluid can generate a magnetic field by dynamo action, provided the flow is sufficiently complicated and vigorous. The dynamo mechanism is thought to sustain magnetic fields in planets and stars.
Arnoldi W. E., C. N. Barber, David Gubbins, Gilman P. A., J. J. Love, Mo®, Roberts G. O., Roberts P. H., S. Gibbons   +8 more
core   +1 more source

The Cauchy problem for a tenth-order thin film equation II. Oscillatory source-type and fundamental similarity solutions [PDF]

, 2014
Fundamental global similarity solutions of the standard form u_\g(x,t)=t^{-\a_\g} f_\g(y), with the rescaled variable y= x/{t^{\b_\g}}, \b_\g= \frac {1-n \a_\g}{10}, where \a_\g>0 are real nonlinear eigenvalues (\g is a multiindex in R^N) of the tenth ...
Alvarez-Caudevilla, Pablo, Evans, Jonathan D., Galaktionov, Victor A.   +2 more
core   +3 more sources

Inverse eigenvalue problems for acyclic matrices whose graph is a dense centipede

Special Matrices, 2018
The reconstruction of a matrix having a pre-defined structure from given spectral data is known as an inverse eigenvalue problem (IEP). In this paper, we consider two IEPs involving the reconstruction of matrices whose graph is a special type of tree ...
Sharma Debashish, Sen Mausumi
doaj   +1 more source

Characteristic matrices for linear periodic delay differential equations [PDF]

, 2011
Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) gave a general construction for characteristic matrices for systems of linear delay-differential equations with periodic coefficients.
Chow S. N., Jan Sieber, Robert Szalai
core   +3 more sources

Analysis of Large Membrane Vibrations Using Fractional Calculus

Fractal and Fractional
The study of vibration equations of large membranes is crucial in various scientific and engineering fields. Analyzing the vibration equations of bridges, roofs, and spacecraft structures helps in designing structures that resist excessive oscillations ...
Nihar Ranjan Mallick, Snehashish Chakraverty, Rajarama Mohan Jena   +2 more
doaj   +1 more source

Resonant-state-expansion Born approximation for waveguides with dispersion [PDF]

, 2016
The resonant-state expansion (RSE) Born approximation, a rigorous perturbative method developed for electrodynamic and quantum mechanical open systems, is further developed to treat waveguides with a Sellmeier dispersion.
Doost, M. B.
core   +4 more sources

Computing the first eigenpair of the p-Laplacian via inverse iteration of sublinear supersolutions

, 2011
We introduce an iterative method for computing the first eigenpair $(\lambda_{p},e_{p})$ for the $p$-Laplacian operator with homogeneous Dirichlet data as the limit of $(\mu_{q,}u_{q}) $ as $q\rightarrow p^{-}$, where $u_{q}$ is the positive solution of ...
A. Veeser, B. Andreianov, B. Kawohl, B. Kawohl, C. Atkinson, Eder Marinho Martins, G. Bognár, G. Bognár, G. Bognár, G.M. Lieberman, Grey Ercole, H. Bueno, J. Brown, J. Descloux, J. Droniou, J. Juutine, J.G. Azorero, J.I. Diaz, J.I. Diaz, J.R. Kuttler, J.R. Philip, J.W. Barrett, Jed Brown, L. Damascelli, L. Diening, L. Lefton, M. Ainsworth, M. Guan, M.-C. Pélissier, P. Drábek, P. Guidotti, P. Lindqvist, R. Adimurthi, R. Bermejo, R. Glowinski, R.E. Showalter, R.J. Biezuner, R.J. Biezuner, Rodney Josué Biezuner, S. Sakaguchi, S.N. Antontsev, V. Heuveline, W. Allegretto, X. Yao, Y.Q. Huang, Y.X. Huang   +45 more
core   +1 more source

Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion

, 2018
We present a class of spline finite element methods for time-domain wave propagation which are particularly amenable to explicit time-stepping. The proposed methods utilize a discontinuous Galerkin discretization to enforce continuity of the solution ...
Chan, Jesse, Evans, John A
core   +1 more source

Recursive integral method for transmission eigenvalues

, 2015
Recently, a new eigenvalue problem, called the transmission eigenvalue problem, has attracted many researchers. The problem arose in inverse scattering theory for inhomogeneous media and has important applications in a variety of inverse problems for ...
Huang, Ruihao, Struthers, Allan A., Sun, Jiguang, Zhang, Ruming   +3 more
core   +1 more source