1 School of Mathematics, KNT University of Technology, Tehran, Iran. 2 Department of Mathematics, College of Basic Sciences, Karaj branch Islamic Azad University, Alborz, Iran. In this paper, we ...

Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...

Abstract: We use a set of Stäckel potentials to obtain a local approximation for an effective third integral in axisymmetric systems. We present a study on the feasibility and effectiveness of this ...

Dynamic systems involving convolution integrals with decaying kernels, of which fractionally damped systems form a special case, are non-local in time and hence infinite dimensional. Straightforward ...

ABSTRACT: In this paper we propose a numerical collocation method to approximate the solution of linear integral mixed Volterra Fredholm equations of the second kind, with particular weakly singular ...

Using the path-integral formalism, Ryan Parker, Mark Stedman and Luca Capriotti develop an accurate and easy-to-compute semi-analytical approximation for a general class of default intensity models.

Abstract: The concepts of the lower approximation integral, the upper approximation integral and rough integrals are given on the basis of function rough sets. Based on these concepts, the relation of ...

We approximate boson thermodynamic integrals as polynomials in two variables chosen to give the correct limiting expansions and to smoothly interpolate into other regimes. With 10 free parameters, an ...