Abstract: In this letter, we examine a general method of approximation, known as the Kikuchi approximation method, for finding the marginals of a product distribution, as well as the corresponding ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

Notifications You must be signed in to change notification settings This assignment demonstrates data approximation using two methods: interpolation and the least squares method. The objective is to ...

Abstract: Most modern mathematical methods to solve the problems of the natural science, engineering, economics require the solution of linear problems of high dimension. To reduce the computational ...

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 ...

The object of this paper is a theoretical study of the convergence of approximation methods (Galerkin and finite difference methods) to compute eigenelements of a closed linear operator T in a Banach ...

ABSTRACT: Approximation methods are used in the analysis and prediction of data, especially laboratory data, in engineering projects. These methods are usually linear ...

Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods, and ...