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 ...

Abstract: This study, which examines a calculation method on the basis of a dual neural network for solving multiple definite integrals, addresses the problems of inefficiency, inaccuracy, and ...

Abstract: This paper uses Maple for the auxiliary tool to study two types of multiple improper integrals. We can obtain the infinite series forms of these multiple improper integrals. Our research way ...

Multiple integrals in the calculus of variations and nonlinear elliptic systems by Giaquinta, Mariano, 1947- Publication date 1983 Topics Calculus of variations, Multiple integrals, Differential ...

IN the second volume of his large treatise on the integral calculus, Mr. Edwards deals with multiple integrals, gamma functions, Dirichlet integrals, definite integrals in general, contour integration ...

Some analytical solutions encountered in my research, which express the integral in a closed form with well-defined functions, are not achievable for analytical simplification. This is where numerical ...

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