Efficient computation of the sinc matrix function for the integration of second-order differential equations

• Published in: Advances in computational mathematics Vol. 50; no. 6
• Main Authors: Aceto, Lidia, Durastante, Fabio
• Format: Journal Article
• Language: English
• Published: New York Springer Nature B.V 01.12.2024
• Subjects: Approximation; Discretization; Mathematical analysis; Numerical methods; Partial differential equations; Wave equations

This work deals with the numerical solution of systems of oscillatory second-order differential equations which often arise from the semi-discretization in space of partial differential equations. Since these differential equations exhibit (pronounced or highly) oscillatory behavior, standard numeri...