Results 11 to 20 of about 75,673 (98)

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  

On acceleration of Krylov-subspace-based Newton and Arnoldi iterations for incompressible CFD: replacing time steppers and generation of initial guess

, 2018
We propose two techniques aimed at improving the convergence rate of steady state and eigenvalue solvers preconditioned by the inverse Stokes operator and realized via time-stepping.
AY Gelfgat, AY Gelfgat, AY Gelfgat, B-F Wang, C Beaume, C Beaume, DC Sorensen, EY Tau, G Labrosse, H Vitoshkin, H Vorst van der, HA Dijkstra, JA Scott, K Borońska, K Borońska, L Soucasse, Laurette S. Tuckerman, LG Slejipen, LS Tuckerman, MP Juniper, RJA Janssen, S Acharya, S Xin, S-L Zhang, V Theofilis, WS Edwards, Y Feldman   +26 more
core   +1 more source

Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems

, 2015
Recently, we used the Sinc collocation method with the double exponential transformation to compute eigenvalues for singular Sturm-Liouville problems.
Gaudreau, Philippe, Safouhi, Hassan
core   +1 more source

Cut Finite Element Methods for Linear Elasticity Problems

, 2017
We formulate a cut finite element method for linear elasticity based on higher order elements on a fixed background mesh. Key to the method is a stabilization term which provides control of the jumps in the derivatives of the finite element functions ...
Hansbo, Peter, Larson, Mats G., Larsson, Karl   +2 more
core   +1 more source

Adaptive Finite Element Approximations for Kohn-Sham Models [PDF]

, 2013
The Kohn-Sham equation is a powerful, widely used approach for computation of ground state electronic energies and densities in chemistry, materials science, biology, and nanosciences.
Chen, Huajie, Dai, Xiaoying, Gong, Xingao, He, Lianhua, Zhou, Aihui   +4 more
core  

Three real-space discretization techniques in electronic structure calculations

, 2006
A characteristic feature of the state-of-the-art of real-space methods in electronic structure calculations is the diversity of the techniques used in the discretization of the relevant partial differential equations. In this context, the main approaches
Aichinger, Aichinger, Aichinger, Ainsworth, Alatalo, Arias, Atkins, Auer, Auer, Auer, Barbiellini, Barbiellini, Barnett, Baye, Beck, Becke, Becke, Beylkin, Beylkin, Beylkin, Blöchl, Blöchl, Boroński, Bowler, Braess, Brandbyge, Brandt, Brandt, Briggs, Briggs, Briggs, Burdick, Bylaska, Calloni, Calzolari, Car, Casida, Castro, Castro, Chakraborty, Chelikowsky, Cho, Chui, Chulkov, Ciarlet, Collatz, Cools, Costiner, Cowan, Dahlke, Dahmen, Datta, Datta, Daubechies, Davidson, Davidson, Davis, Daykov, Dongarra, Donoho, Duff, Elman, Fattebert, Fiete, Fischer, Froese Fischer, Gisbergen, Goedecker, Goedecker, Golub, Gruenebaum, Gupta, Gygi, Gygi, Gygi, Hackbush, Harju, Havu, Havu, Havu, Havu, He, Heiskanen, Heiskanen, Hernández, Hirose, Hochbruck, Hochbruck, Hochbruck, Hohenberg, Hughes, Höynälänmaa, Jamorski, Jiang, Karypis, Khomyakov, Kleinman, Knyazev, Knyazev, Kobus, Kohn, Kouwenhoven, Kresse, Kresse, Kresse, Krieger, Kronik, Langreth, Levine, Lindemann, Lippert, Liu, Makkonen, Makkonen, Mandel, Manninen, Modine, Mortensen, Nardelli, Nogueira, Ogando, Ono, Oosterkamp, Pask, Patel, Payne, Polizzi, Pulay, Pulay, Reid, Reimann, Rummukainen, Runge, Räsänen, Räsänen, Saad, Saarikoski, Saarikoski, Saarikoski, Saarikoski, Sarria, Schmid, Schmidt, Schwarz, Sivan, Skylaris, Soler, Springer, Stathopoulos, Stevenson, Stratman, Szabo, Taylor, te Velde, te Velde, Thygesen, Torsti, Torsti, Torsti, Torsti, Tsuchida, Tsuchida, Tsuchida, Tymczak, van der Vorst, Vasilyev, Waghmare, Wang, Wang, Wei, Wesseling, Wijesekera, Wood, Wortmann, Yamaguchi   +174 more
core   +2 more sources

Charge and current oscillations in Fractional quantum Hall systems with edges

, 1997
Stationary solutions of the Chern-Simons effective field theory for the fractional quantum Hall systems with edges are presented for Hall bar, disk and annulus.
A. H. Macdonald,, A. Zee, C. Wexler, D. B. Chklovskii, D. B. Chklovskii, D. J. Thouless, D. Orgad, D. Orgad, D. Pfannkuche, J. Dempsey, J. H. Han, J. Shiraishi, J. Shiraishi, L. Brey, M. Kohmoto, N. Nagaosa, S. C. Zhang, S. C. Zhang, S. Kivelson, X. G. Wen, X. G. Wen, Y. Avishai   +21 more
core   +1 more source

Forward and inverse problems in fundamental and applied magnetohydrodynamics

, 2012
This Minireview summarizes the recent efforts to solve forward and inverse problems as they occur in different branches of fundamental and applied magnetohydrodynamics. As for the forward problem, the main focus is on the numerical treatment of induction
Giesecke, Andre, Stefani, Frank, Wondrak, Thomas, Xu, Mingtian   +3 more
core   +1 more source

Real eigenvalue analysis in NASTRAN by the tridiagonal reduction (FEER) method [PDF]

, 1976
Implementation of the tridiagonal reduction method for real eigenvalue extraction in structural vibration and buckling problems is described. The basic concepts underlying the method are summarized and special features, such as the computation of error ...
Flanagen, P. F., Newman, M., Rogers, J. L., Jr.   +2 more
core   +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