Results 11 to 20 of about 76,006 (191)

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

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

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

A spectral projection method for transmission eigenvalues

, 2016
In this paper, we consider a nonlinear integral eigenvalue problem, which is a reformulation of the transmission eigenvalue problem arising in the inverse scattering theory.
Sun, Jiguang, Xu, Liwei, Zeng, Fang
core   +1 more source

An improved discretization of Schrodinger-like radial equations [PDF]

, 2018
A new discretization of the radial equations that appear in the solution of separable second order partial differential equations with some rotational symmetry (as the Schrodinger equation in a central potential) is presented.
Campo, Javier, Laliena, Victor
core   +2 more sources

Special solutions of the optical soliton eigenvalue problem [PDF]

, 1988
Electromagnetic pulse propagation in optical fibres is described by the non-linear Schrodinger equation. The solutions, or solitons, remain completely unchanged as they propagate along the fibre.
Breen, Kevin
core  

Hard‐Magnetic Soft Millirobots in Underactuated Systems

Advanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +4 more
wiley   +1 more source

Structural Eigenmodes of the Brain to Improve the Source Localization of EEG: Application to Epileptiform Activity

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, Philippa J. Karoly, Sina Mansour L., Artemio Soto‐Breceda, Levin Kuhlmann, Mark J. Cook, David B. Grayden   +6 more
wiley   +1 more source

A computer-assisted existence proof for Emden's equation on an unbounded L-shaped domain

, 2016
We prove existence, non-degeneracy, and exponential decay at infinity of a non-trivial solution to Emden's equation $-\Delta u = | u |^3$ on an unbounded $L$-shaped domain, subject to Dirichlet boundary conditions. Besides the direct value of this result,
Pacella, Filomena, Plum, Michael, Rütters, Dagmar   +2 more
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, Tommaso Gili, Andrea Gabrielli, Maurizio Mattia   +3 more
wiley   +1 more source