In this paper, we develop a method for approximating multiple integrals. The domain of integration Ω is assumed to be a non-rectangular compact of ℝⁿ. The main idea is the dimensionality reduction ...

SIAM Journal on Numerical Analysis, Vol. 29, No. 1 (Feb., 1992), pp. 271-283 (13 pages) In this paper a new transformation referred to as the G(m) n-transform is introduced for the purpose of ...

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Abstract: In this paper we present an efficient scheme for the numerical approximation of integrals. The proposed method is an excellent alternative to adaptive quadrature methods. Like the adaptive ...

Abstract: This paper presents an approach to approximating sensor signals. In classical rough set theory, set approximation is carried out in non-empty, finite universes of objects. In contrast, we ...

Calculating the area under a curve has been a long-time problem in mathematics. Curves that can be represented by a formula, such as a parabola, can be integrated using mathematical resources, such as ...

Definite integrals are a fundamental concept in calculus, allowing us to compute the area under a curve on a given interval. In this article, we will explore the process of calculating definite ...