Results 21 to 30 of about 292 (68)

On Gakerkin approximations for the surface-active quasigeostrophic equations

, 2015
We study the representation of solutions of the three-dimensional quasigeostrophic (QG) equations using Galerkin series with standard vertical modes, with particular attention to the incorporation of active surface buoyancy dynamics.
Grooms, Ian, Rocha, Cesar B., Young, William R.   +2 more
core   +1 more source

The no-core shell model with general radial bases [PDF]

, 2012
Calculations in the ab initio no-core shell model (NCSM) have conventionally been carried out using the harmonic-oscillator many-body basis. However, the rapid falloff (Gaussian asymptotics) of the oscillator functions at large radius makes them poorly ...
Edmonds A R, J P Vary, M A Caprio, Moshinsky M, P Maris, Pervin M, Sternberg P   +6 more
core   +1 more source

Nonrelativistic Quantum Dynamics in a Twisted Screw Spacetime

Universe
We investigate the nonrelativistic quantum dynamics of a spinless particle in a screw-type spacetime endowed with two independent twist controls that interpolate between a pure screw dislocation and a homogeneous twist.
Faizuddin Ahmed, Edilberto O. Silva
doaj   +1 more source

Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics

, 2008
Finding the eigenvalues of a Sturm-Liouville problem can be a computationally challenging task, especially when a large set of eigenvalues is computed, or just when particularly large eigenvalues are sought.
Andrew, Andrew, Andrew, Bailey, Bailey, Canosa, Coffey, Degani, G. Vanden Berghe, Gelfand, Gordon, Hairer, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, Ixaru, Ixaru, Ixaru, Ixaru, Ixaru, Ixaru, Ixaru, Ixaru, Ledoux, Ledoux, Ledoux, Ledoux, Ledoux, M. Van Daele, Magnus, Marletta, Moan, Paine, Paine, Pruess, Pruess, Pruess, Pryce, Pryce, Smooke, Strang, V. Ledoux, Vanden Berghe, Vanden Berghe, Zettl   +47 more
core   +1 more source

Spectral Collocation Solutions to Second Order Singular Sturm-Liouville Eigenproblems

, 2020
We comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint boundary conditions. For both the limit-circle non oscillatory and oscillatory cases we pay a particular attention.
openaire   +2 more sources

Relations between transfer matrices and numerical stability analysis to avoid the $\Omega d$ problem

, 2015
The transfer matrix method is usually employed to study problems described by $N$ equations of matrix Sturm-Liouville (MSL) kind. In some cases a numerical degradation (the so called $\Omega d$ problem) appears thus impairing the performance of the ...
Pernas-Salomón, R., Pérez-Álvarez, R., Velasco, V. R.   +2 more
core   +1 more source

An efficient finite-difference scheme for computation of electron states in free-standing and core-shell quantum wires

, 2015
The electron states in axially symmetric quantum wires are computed by means of the effective-mass Schroedinger equation, which is written in cylindrical coordinates phi, rho, and z.
Arsoski, V. V., Cukaric, N. A., Peeters, F. M., Tadic, M. Z.   +3 more
core   +1 more source

Functional determinants for general Sturm-Liouville problems

, 2004
Simple and analytically tractable expressions for functional determinants are known to exist for many cases of interest. We extend the range of situations for which these hold to cover systems of self-adjoint operators of the Sturm-Liouville type with ...
Alan J McKane, Barraza O A, Barraza O A, Bordag M, Bordag M, Brézin E, Burghelea D, Burghelea D, Burghelea D, Carron G, Coleman S, Dreyfuss T, Forman R, Forman R, Gel'fand I M, Gilkey P B, Kirsten K, Kirsten K, Klaus Kirsten, Kleinert H, Kleinert H, Lesch M, Levit S, McKane A J, Olver F W J, Rajaraman R, Saravi R E G, Saravi R E G, Tarlie M B, Tarlie M B, Weyl H   +30 more
core   +2 more sources

Slepian functions and their use in signal estimation and spectral analysis

, 2009
It is a well-known fact that mathematical functions that are timelimited (or spacelimited) cannot be simultaneously bandlimited (in frequency). Yet the finite precision of measurement and computation unavoidably bandlimits our observation and modeling ...
A Albertella, A Amirbekyan, A Hanssen, A Messiah, A Schuster, AD Chave, AR Edmonds, D Slepian, D Slepian, D Slepian, D Slepian, D Slepian, D Slepian, DA Varshalovich, DB Percival, DJ Thomson, DJ Thomson, DJ Wingham, DL Donoho, DR Cox, E Hivon, EN Gilbert, FA Dahlen, FA Dahlen, FJ Simons, FJ Simons, FJ Simons, G Hinshaw, GD Villiers de, HJ Landau, HJ Landau, HJ Landau, I Daubechies, I Daubechies, I Daubechies, I Daubechies, JR Bond, JS Bendat, K Yao, KS Riedel, L Cohen, L Knox, LP Grishchuk, M Tegmark, M Tegmark, MA Wieczorek, MA Wieczorek, MG Hauser, MZ Nashed, N Sneeuw, P Flandrin, P Xu, P Xu, PJE Peebles, RC Aster, RH Jones, S Mallat, S-C Han, SP Oh, TP Bronez, W Freeden, W Freeden, W Menke, WM Kaula, Y Shkolnisky   +64 more
core   +1 more source

Generalised Weyl theorems and spectral pollution in the Galerkin method [PDF]

, 2011
We consider a general framework for investigating spectral pollution in the Galerkin method. We show how this phenomenon is characterised via the existence of particular Weyl sequences which are singular in a suitable sense.
Boulton, Lyonell, Boussaid, Nabile, Lewin, Mathieu   +2 more
core   +3 more sources