Rosenbrock-type methods applied to discontinuous differential systems

2012/11/16 by Marco Berardi, Berardi, Marco
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1211.3933

openalex publication_date 2012/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we will study the numerical solution of a discontinuous differential system by a Rosenbrock method. We will also focus on one-sided approach in the context of Rosenbrock schemes, and we will suggest a technique based on the use of continuous extension, in order to locate the event point, with an application to discontinuous singularly perturbed systems.

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