In his book [14], Wong studies the properties of pseudodifferential operators arising in quantummechanics, first envisaged byWeyl [13], as bounded linear operators on L2(Rn) (the space of square integrable functions on Rn with respect to the Lebesgue measure). For this reason, M. W. Wong calls the operators treated in his book Weyl transforms. Here, we consider the singular partial differential...

This paper addresses dynamic optimization of a large-scale natural gas processing plant through the formulation of rigorous unit dynamic models. The resulting differential-algebraic equation (DAE) optimization problem is solved with an advanced simultaneous strategy that transforms the original problem into a nonlinear program. Emphasis has been given to detailed thermodynamic and solubility ca...

This work discusses the beginning of fractional calculus and how Sumudu Elzaki transforms are applied to derivatives. approach combines a double Sumudu-Elzaki transform strategy discover analytic solutions space-time partial differential equations in Mittag-Leffler functions subject initial boundary conditions. Where this method gets closer correct answer, technique's efficacy is demonstrated u...

We propose a definition of regularity of a linear differential system with coefficients in a monomial extension of a differential field, as well as a global and truly rational (i.e. factorisation–free) iteration that transforms a system with regular finite singularities into an equivalent one with simple finite poles. We then apply our iteration to systems satisfied by bases of algebraic functi...

This paper gives an overview of various forms of the differential equations of exterior, interior and terminal ballistics, as well as a presentation of the problems they induce in computer algebra. Some of these problems have been investigated at ISL (French-German Institute of Saint-Louis): through the quasi-monomial transforms (QMT) of Brenig, for the ordinary differential equations (ODE’s) o...

This paper is concerned with investigation of vertical impedance function of a surface rigid circular foundation resting on a semi-infinite transversely isotropic alluvium. To this end, the equations of motion in cylindrical coordinate system, which because of axissymmetry are two coupled equations, are converted into one partial differential equation using a method of potential function. The g...

This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...