arXiv subjects

R. Barrere

Publications and source records attributed to R. Barrere.

2 recordsLinked to original sources

arXiv2005

Can Computer Algebra be Liberated from its Algebraic Yoke ?

So far, the scope of computer algebra has been needlessly restricted to exact algebraic methods. Its possible extension to approximate analytical methods is discussed. The entangled roles of functional analysis and symbolic programming, especially the functional and transformational paradigms, are put forward. In the future, algebraic algorithms could constitute the core of extended symbolic manipulation systems including primitives for symbolic approximations.

cs.SC↗

arXiv2003

A Symbolic-Numerical Approach for the Sensitivity Analysis of Dielectric Resonator Sensors

A theoretical model based on the transverse resonance method is proposed for the description of cylindrical multilayer dielectric resonator sensors. From this model, the resonant frequency and the sensitivities with respect to geometrical and physical parameters are computed by means of a combination of symbolic and numerical procedures. These are gathered together in a package in view of the computer assisted design of this range of sensors. On this occasion, a few design patterns for engineering applications are sketched.

physics.comp-ph↗