Solving a class of multivariate integration problems via Laplace techniques

• Autorzy: Jean B. Lasserre , Eduardo S. Zeron
• Języki publikacji: EN

Abstrakty

EN

We consider the problem of calculating a closed form expression for the integral of a real-valued function f:ℝⁿ → ℝ on a set S. We specialize to the particular cases when S is a convex polyhedron or an ellipsoid, and the function f is either a generalized polynomial, an exponential of a linear form (including trigonometric polynomials) or an exponential of a quadratic form. Laplace transform techniques allow us to obtain either a closed form expression, or a series representation that can be handled numerically. Finally, a methodology is proposed for multivariate functions f which have a (multidimensional) Laplace transform.

Kategorie tematyczne

• 65R10: Integral transforms
• 65D30: Numerical integration
• 65D15: Algorithms for functional approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2001
• Tom: 28
• Numer: 4
• Strony: 391-405

Daty

wydano

2001

Twórcy

autor

Jean B. Lasserre

• LAAS-CNRS, 7 Avenue du Colonel Roche, 31077 Toulouse Cedex 4, France

autor

Eduardo S. Zeron

• Departamento de Matemáticas, CINVESTAV-IPN, Apdo. Postal 14740, México, D.F. 07000, Mexico

Identyfikatory

DOI

10.4064/am28-4-2