14–18 Oct 2024
Max Planck Institute for Physics
Europe/Berlin timezone

Faster Integration of D-module

15 Oct 2024, 15:30
15m

Speaker

Hadrien Brochet (Inria Saclay)

Description

We consider the problem of computing all the linear relations between the integrals of the
functions lying in a given holonomic D-module. We present in this poster a new integration
algorithm designed for handling multiple integrals of holonomic functions. This novel algorithm can be regarded as both an extension of Lairez’s reduction-based algorithm, which is limited to integrals of rational functions, and an enhancement of Takayama’s algorithm based on D-module theory.
This is a joint work with my two PhD advisors Frédéric Chyzak and Pierre Lairez.

Primary author

Hadrien Brochet (Inria Saclay)

Presentation materials

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