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- Ramiro Acevedo, Salim Meddahi, Rodolfo Rodríguez
- Math. Comput.
- 2009

In this paper, we analyze a mixed form of a time-dependent eddy current problem formulated in terms of the electric field í µí±¬. We show that this formulation admits a well-posed saddle point structure when the constraints satisfied by the primary unknown in the dielectric material are handled by means of a Lagrange multiplier. We use Nédélec edge elements… (More)

- Ramiro Acevedo, Richard Lombardini, Naomi J Halas, Bruce R Johnson
- The journal of physical chemistry. A
- 2009

Surface-enhanced Raman optical activity (SEROA) is investigated theoretically for molecules near a metal nanoshell. For this purpose, induced molecular electric dipole, magnetic dipole, and electric quadrupole moments must all be included. The incident field and the induced multipole fields all scatter from the nanoshell, and the scattered waves can be… (More)

- Courtney D Griffin, Ramiro Acevedo, Daniel W Massey, James L Kinsey, Bruce R Johnson
- The Journal of chemical physics
- 2006

Wavelets provide potentially useful quantum bases for coupled anharmonic vibrational modes in polyatomic molecules as well as many other problems. A single compact support wavelet family provides a flexible basis with properties of orthogonality, localization, customizable resolution, and systematic improvability for general types of one-dimensional and… (More)

- Ramiro Acevedo, Richard Lombardini, Matthew A Turner, James L Kinsey, Bruce R Johnson
- The Journal of chemical physics
- 2008

The conjugate symmetric Lanczos (CSL) method is introduced for the solution of the time-dependent Schrodinger equation. This remarkably simple and efficient time-domain algorithm is a low-order polynomial expansion of the quantum propagator for time-independent Hamiltonians and derives from the time-reversal symmetry of the Schrodinger equation. The CSL… (More)

- Haixiang Wang, Ramiro Acevedo, Heather Mollé, Jeffrey L Mackey, James L Kinsey, Bruce R Johnson
- The Journal of chemical physics
- 2004

Orthogonal compact-support Daubechies wavelets are employed as bases for both space and time variables in the solution of the time-dependent Schrodinger equation. Initial value conditions are enforced using special early-time wavelets analogous to edge wavelets used in boundary-value problems. It is shown that the quantum equations may be solved directly… (More)

- Daniel W Massey, Ramiro Acevedo, Bruce R Johnson
- The Journal of chemical physics
- 2006

Multiwavelet bases have been shown recently to apply to a variety of quantum problems. There are, however, only a few multiwavelet families that have been defined to date. Chui-Lian-type symmetric and antisymmetric multiwavelets are derived here that equal and exceed the polynomial interpolating power of previously available examples. Adaptations to domain… (More)

The aim of this paper is to provide a mathematical analysis of the well-known ! " $ # potential formulation for the eddy current problem. The resulting variational problem is proved to be well posed and error estimates are settled for a numerical method based on standard nodal finite elements. 1. Introduction. The mathematical and numerical analysis of… (More)

- Ramiro Acevedo, Richard Lombardini, Bruce R Johnson
- The Journal of chemical physics
- 2010

A means of evaluating the action of Hamiltonian operators on functions expanded in orthogonal compact support wavelet bases is developed, avoiding the direct construction and storage of operator matrices that complicate extension to coupled multidimensional quantum applications. Application of a potential energy operator is accomplished by simple… (More)

- Richard Lombardini, Ramiro Acevedo, Alexander Kuczala, Kerry P. Keys, Carl P. Goodrich, Bruce R. Johnson
- J. Comput. Physics
- 2016

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