Computing the action of the matrix generating function of Bernoulli polynomials on a vector with an application to non-local boundary value problems

• Published in: Advances in computational mathematics Vol. 51; no. 2
• Main Authors: Aceto, Lidia, Gemignani, Luca
• Format: Journal Article
• Language: English
• Published: New York Springer Nature B.V 01.04.2025
• Subjects: Algorithms; Boundary value problems; Computation; Fourier series; Mathematics; Numerical methods; Polynomials; Sparse matrices

This paper deals with efficient numerical methods for computing the action of the matrix generating function of Bernoulli polynomials, say $$q(\tau ,A)$$ q ( τ , A ) , on a vector when A is a large and sparse matrix. This problem occurs when solving some non-local boundary value problems. Methods ba...