arXiv Open Access 2025

Faster multivariate integration in D-modules

Hadrien Brochet Frédéric Chyzak Pierre Lairez

Lihat Sumber

Abstrak

We present a new algorithm for solving the reduction problem in the context of holonomic integrals, which in turn provides an approach to integration with parameters. Our method extends the Griffiths--Dwork reduction technique to holonomic systems and is implemented in Julia. While not yet outperforming creative telescoping in D-finite cases, it enhances computational capabilities within the holonomic framework. As an application, we derive a previously unattainable differential equation for the generating series of 8-regular graphs.

Topik & Kata Kunci

cs.SC

Penulis (3)

Hadrien Brochet

Frédéric Chyzak

Pierre Lairez

Format Sitasi

APA MLA BibTeX

Brochet, H., Chyzak, F., Lairez, P. (2025). Faster multivariate integration in D-modules. https://arxiv.org/abs/2504.12724

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓