A product integration rule on equispaced nodes for highly oscillating integrals
Luisa Fermo, Domenico Mezzanotte, Donatella Occorsio
TL;DR
This paper introduces a new product integration rule using equispaced nodes specifically designed for highly oscillating integrals, with proven stability and error estimates supported by numerical tests.
Contribution
It presents a novel product integration rule tailored for highly oscillating integrals using equally spaced nodes, with theoretical stability and error analysis.
Findings
The rule is stable in the space of continuous functions.
Error estimates are rigorously proven.
Numerical tests confirm the theoretical results.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNumerical methods for differential equations · Differential Equations and Numerical Methods · Stability and Controllability of Differential Equations