In recent years, the standard numerical methods for partial differential equations have been extended with variants that address issue of domain discretisation in complicated domains. Sometimes similar requirements are induced by local parameter-dependent features solutions, instance, boundary or internal layers. The adaptive reference elements one way which harmonic extension elements, an p-ve...

During recent years much interest has been given to the application of Singular Value Decomposition in association with extended{order and overdetermined evaluation in the nite parametric spectral estimation domain. Such approaches have been shown to perform superior to other methods for discontinuous frequency signal, e.g. the harmonic retrieval problem. In this report a similar approach is ap...

In this paper we study harmonic functions of subordinate killed Brownian motion in a domain D: We first prove that, when the killed Brownian semigroup in D is intrinsic ultracontractive, all nonnegative harmonic functions of the subordinate killed Brownian motion in D are continuous and then we establish a Harnack inequality for these harmonic functions. We then show that, when D is a bounded L...

In this paper,the molecular geometry for three tautomers of uracil and four tautomers of cytosine has been analyzed. vibrational IR spectra of the tautomers were   investigated at HF and B3LYP level using the AB initio 6-31G* and LANL2DZ basis sets from the program package Gaussian 98 (A.7 Public Domain version). The physico-chemical and biochemical properties of uracil and cytosine are one of...

So far this dissertation has focused on word-level noniterativity. This chapter examines noniterative postlexical phenomena, processes that extend beyond the word. Constraints such as NonFinality make demands of word edges, and it would not be surprising to find that neighboring words are called on to help satisfy these demands through (noniterative) spreading across the word boundary. For exam...

This paper investigates the lock range of injection-locked non-harmonic oscillators using a frequency-domain approach. By representing a non-harmonic oscillator with a set of harmonic oscillators, the intrinsic relation between the lock range of the harmonic oscillators and that of the non-harmonic is obtained. We show that non-harmonic oscillators exhibit a larger lock range as compared with h...

Harmonic functions attain their pointwise maximum on the boundary of the domain. In this article, we analyze the relationship between various norms of nearly harmonic functions and we show that the trace norm is maximized on the boundary of the domain. One application is that the Optimized Schwarz Method with two subdomains converges for all Robin parameters α > 0.

in this paper,the molecular geometry for three tautomers of uracil and four tautomers of cytosine has been analyzed. vibrational ir spectra of the tautomers were   investigated at hf and b3lyp level using the ab initio 6-31g* and lanl2dz basis sets from the program package gaussian 98 (a.7 public domain version). the physico-chemical and biochemical properties of uracil and cytosine are one of...

Electrophysiological modeling of Magnetoand Electro-encephalography (MEG and EEG) rely on accurate forward solvers that relate source activities to sensor measurements. In comparing a Boundary Element (BEM) and a Finite Element Method (FEM) for forward electroencephalography, in our early numerical experiments, we found the FEM to have a better accuracy than the BEM. This triggered a quest to i...

Abstract. In the periodic orbit quantization of physical systems, usually only the leading-order ~ contribution to the density of states is considered. Therefore, by construction, the eigenvalues following from semiclassical trace formulae generally agree with the exact quantum ones only to lowest order of ~. In different theoretical work the trace formulae have been extended to higher orders o...