Efficient preconditioning scheme for block partitioned matrices with structured sparsity

B Poirier - Numerical Linear Algebra with Applications, 2000 - Wiley Online Library
An efficient preconditioning algorithm is presented for solving linear systems for which the
matrix exhibits a certain sparse block structure, such as PDEs in two or more dimensions …

Recursive solutions to large eigenproblems in molecular spectroscopy and reaction dynamics

H Guo - Rev. Comput. Chem, 2007 - Wiley Online Library
ˆH\c)= E\c)[1] suggests that many problems in chemical physics can be reformulated as the
solution of the corresponding eigenequations or their generalized counterparts. 1 Examples …

A new iterative method for calculating energy levels and wave functions

SW Huang, T Carrington - The Journal of Chemical Physics, 2000 - pubs.aip.org
Vibrational and rovibrational spectra of polyatomic molecules are often analyzed using a
perturbative-normal mode approach, 1, 2 but to calculate energy levels accurately and to …

The Bloch wave operator: generalizations and applications: II. The time-dependent case

G Jolicard, JP Killingbeck - Journal of Physics A: Mathematical …, 2003 - iopscience.iop.org
Part II of the review shows how the stationary Bloch wave operator of part I can be suitably
modified to give a time-dependent wave operator. This operator makes it possible to use a …

[LIVRE][B] Molecular Electronics: An Experimental and Theoretical Approach

I Bâldea - 2016 - books.google.com
This book, a multi-authored volume comprising reviews written by leading scientists,
discusses recent advances in the molecular electronics field. It emphasizes the need for …

Accelerating the calculation of energy levels and wave functions using an efficient preconditioner with the inexact spectral transform method

B Poirier, T Carrington - The Journal of Chemical Physics, 2001 - pubs.aip.org
In an earlier paper J. Chem. Phys. 112, 8765 2000 our group introduced a preconditioned
inexact spectral transform method for calculating energy levels and wave functions …

[LIVRE][B] Encyclopedia of chemical physics and physical chemistry

JH Moore, ND Spencer - 2001 - api.taylorfrancis.com
Jacket illustration. CryoSEM micrograph of a freeze-fractured yeast cell. Specimen was
prepared according to Walther et al (1995) and imaged using back-scattered electrons …

A general method for electrochemical simulations. 1. Formulation of the strategy for two-dimensional simulations

JA Alden, RG Compton - The Journal of Physical Chemistry B, 1997 - ACS Publications
A strategy for a general electrochemical simulator is presented based on formulating the
finite difference form of coupled mass transport and kinetic equations as a single sparse …

Optimal separable bases and series expansions

B Poirier - Physical Review A, 1997 - APS
A method is proposed for the efficient calculation of the Green's functions and eigenstates for
quantum systems of two or more dimensions. For a given Hamiltonian, the best possible …

ACCURATE AND HIGHLY EFFICIENT CALCULATION OF THE O(1D)HCl VIBRATIONAL BOUND STATES, USING A COMBINATION OF METHODS

W BIAN, B POIRIER - Journal of Theoretical and Computational …, 2003 - World Scientific
Hypochlorous acid, HOCl, is an important intermediate in the O (1D) HCl reactive system.
Due in part to a large number of vibrational bound states (over 800), extremely large direct …