The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying 61 –
80 of
229
We present a novel application of best N-term approximation theory
in the framework of electronic structure calculations. The paper focusses on the
description of electron correlations within a Jastrow-type ansatz for the
wavefunction. As a starting point we discuss certain natural assumptions on
the asymptotic behaviour of two-particle correlation functions
near electron-electron and electron-nuclear cusps. Based
on Nitsche's characterization of best N-term approximation spaces
, we prove...
We discuss best N-term approximation spaces for one-electron wavefunctions and
reduced density matrices ρ
emerging from Hartree-Fock and density functional theory. The approximation spaces for anisotropic
wavelet tensor product bases have been recently characterized by Nitsche in terms of tensor product Besov spaces.
We have used the norm equivalence of these spaces to weighted spaces of wavelet coefficients to
proof that both and ρ are in for all with
. Our proof is based on the...
Using the min-plus version of the spectral radius formula, one proves: 1) that the unique eigenvalue of a min-plus eigenvalue problem depends continuously on parameters involved in the kernel defining the problem; 2) that the numerical method introduced by Chou and Griffiths to compute this eigenvalue converges. A toolbox recently developed at I.n.r.i.a. helps to illustrate these results. Frenkel-Kontorova models serve as example. The analogy with homogenization of Hamilton-Jacobi equations is emphasized....
Using the min-plus version of the spectral radius formula, one proves: 1)
that the unique eigenvalue of a min-plus eigenvalue problem depends continuously on parameters involved in the kernel defining the problem; 2) that the numerical method introduced by Chou and Griffiths to compute this eigenvalue converges.
A toolbox recently developed at I.n.r.i.a. helps to illustrate these results.
Frenkel-Kontorova models serve as example. The analogy with homogenization of Hamilton-Jacobi equations...
We tried to reproduce results measured in the wind tunnel experiment with a CFD simulation provided by numerical model PALM. A realistic buildings layout from the Prague-Dejvice quarter has been chosen as a testing domain because solid validation campaign for PALM simulation of Atmospheric Boundary Layer (ABL) over this quarter was documented in the past. The question of input data needed for such simulation and capability of the model to capture correctly the inlet profile and its turbulence structure...
A boundary value problem for the Laplace equation with Dirichlet and Neumann boundary conditions on an equilateral triangle is transformed to a problem of the same type on a rectangle. This enables us to use, e.g., the cyclic reduction method for computing the numerical solution of the problem. By the same transformation, explicit formulae for all eigenvalues and all eigenfunctions of the corresponding operator are obtained.
Currently displaying 61 –
80 of
229