An efficient algorithm for solving piecewise-smooth dynamical systems

This article considers the numerical treatment of piecewise-smooth dynamical systems. Classical solutions as well as sliding modes up to codimension-2 are treated. An algorithm is presented that, in the case of non-uniqueness, selects a solution that is the formal limit solution of a regularized pro...

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Detalles Bibliográficos
Autores principales: Guglielmi, Nicola, Hairer, Ernst
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8816753/
https://www.ncbi.nlm.nih.gov/pubmed/35185303
http://dx.doi.org/10.1007/s11075-021-01154-1
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author Guglielmi, Nicola
Hairer, Ernst
author_facet Guglielmi, Nicola
Hairer, Ernst
author_sort Guglielmi, Nicola
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description This article considers the numerical treatment of piecewise-smooth dynamical systems. Classical solutions as well as sliding modes up to codimension-2 are treated. An algorithm is presented that, in the case of non-uniqueness, selects a solution that is the formal limit solution of a regularized problem. The numerical solution of a regularized differential equation, which creates stiffness and often also high oscillations, is avoided.
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spelling pubmed-88167532022-02-17 An efficient algorithm for solving piecewise-smooth dynamical systems Guglielmi, Nicola Hairer, Ernst Numer Algorithms Original Paper This article considers the numerical treatment of piecewise-smooth dynamical systems. Classical solutions as well as sliding modes up to codimension-2 are treated. An algorithm is presented that, in the case of non-uniqueness, selects a solution that is the formal limit solution of a regularized problem. The numerical solution of a regularized differential equation, which creates stiffness and often also high oscillations, is avoided. Springer US 2021-07-05 2022 /pmc/articles/PMC8816753/ /pubmed/35185303 http://dx.doi.org/10.1007/s11075-021-01154-1 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Guglielmi, Nicola
Hairer, Ernst
An efficient algorithm for solving piecewise-smooth dynamical systems
title An efficient algorithm for solving piecewise-smooth dynamical systems
title_full An efficient algorithm for solving piecewise-smooth dynamical systems
title_fullStr An efficient algorithm for solving piecewise-smooth dynamical systems
title_full_unstemmed An efficient algorithm for solving piecewise-smooth dynamical systems
title_short An efficient algorithm for solving piecewise-smooth dynamical systems
title_sort efficient algorithm for solving piecewise-smooth dynamical systems
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8816753/
https://www.ncbi.nlm.nih.gov/pubmed/35185303
http://dx.doi.org/10.1007/s11075-021-01154-1
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