Results 61 to 70 of about 173,375 (235)
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
doaj +1 more source
A novel nonlinear evolution equation integrable by the inverse scattering method [PDF]
, 2002 A Backlund transformation for an evolution equation (ut+u ux)x+u=0 transformed into new coordinates is derived. An inverse scattering problem is formulated. The inverse scattering method has a third order eigenvalue problem.
Parkes, E.J., Vakhnenko, V.O.
core
, 2004 In present article the self-contained derivation of eigenvalue inverse problem results is given by using a discrete approximation of the Schroedinger operator on a bounded interval as a finite three-diagonal symmetric Jacobi matrix.
Agranovich Z S +8 more
core +1 more source
Symmetric stochastic inverse eigenvalue problem [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Quanbing +2 more
openaire +2 more sources
Advanced Science, EarlyView.Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu +6 more
wiley +1 more source
Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
, 2017 Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
core +1 more source
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Advanced Science, EarlyView.This work demonstrates a multimodal super‐resolution imaging technique for nitrogen‐vacancy centers by integrating high‐index‐induced structured illumination with optically detected magnetic resonance. By utilizing diamond's high refractive index, the method achieves sub‐100‐nm spatial resolution and enhanced localization. This dual‐modulation strategy
Kyu Ri Choi +9 more
wiley +1 more source
Computing the $\sin_{p}$ function via the inverse power method
, 2010 In this paper, we discuss a new iterative method for computing $\sin_{p}$. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the $p$-Laplacian.
Biezuner, Rodney Josué +2 more
core +1 more source