A product integration rule on equispaced nodes for highly oscillating integrals

07/18/2022
by   Luisa Fermo, et al.
0

This paper provides a product integration rule for highly oscillating integrands, based on equally spaced nodes. The stability and the error estimate are proven in the space of continuous functions, and some numerical tests which confirm such estimates are provided.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/13/2018

Integration in terms of polylogarithm

This paper provides a Liouville principle for integration in terms of di...
research
08/22/2022

A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation

In this paper, we combine the Smolyak technique for multi-dimensional in...
research
11/01/2020

Scaled boundary cubature scheme for numerical integration over polytopes and curved solids. Part I: Two-dimensional domains

This paper introduces the scaled boundary cubature (SBC) scheme for accu...
research
09/22/2021

Filtered integration rules for finite Hilbert transforms

A product quadrature rule, based on the filtered de la Vallée Poussin po...
research
07/27/2022

Rule 30: Solving the Chaos

This paper provides an analytical solution to the Wolfram Alpha Rule 30 ...
research
01/20/2022

An error estimate for the Gauss-Jacobi-Lobatto quadrature rule

An error estimate for the Gauss-Lobatto quadrature formula for integrati...
research
12/28/2021

Gaussian quadrature rules for composite highly oscillatory integrals

Highly oscillatory integrals of composite type arise in electronic engin...

Please sign up or login with your details

Forgot password? Click here to reset