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Quasi-Trefftz spaces for a first-order formulation of the Helmholtz equation

Published: September 10, 2025 | arXiv ID: 2509.08936v1

By: Lise-Marie Imbert-Gérard , Andréa Lagardère , Guillaume Sylvand and more

Potential Business Impact:

Makes math problems with moving parts easier to solve.

Business Areas:
Quantum Computing Science and Engineering

This work is the first step in the development of quasi-Trefftz methods for first-order differential systems. It focuses on discrete quasi-Trefftz spaces, starting from their definition and including construction of corresponding bases together with their computational aspect.

Page Count
25 pages

Category
Mathematics:
Numerical Analysis (Math)