Multi-product expansion for Nonlinear Differential Equations
Juergen Geiser
TL;DR
This paper extends the Multi-product Expansion (MPE) methods to nonlinear differential equations, focusing on systems and generalizing previous linear approaches to handle nonlinear dynamics.
Contribution
The paper introduces a generalized MPE framework specifically designed for nonlinear differential equations and systems, expanding the applicability of MPE methods.
Findings
Successfully generalized MPE to nonlinear systems
Demonstrated improved convergence properties
Provided theoretical analysis of the extended method
Abstract
In this paper we discuss the extention of MPE methods to nonlinear differential equations. We concentrate on nonlinear systems of differential equations and generalize the recent MPE method, see the work of Chin and Geiser 2010.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNumerical methods for differential equations · Advanced Numerical Methods in Computational Mathematics · Computational Fluid Dynamics and Aerodynamics