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A Finite Volume Scheme for Fractional Conservation Laws Driven by Lévy Noise

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Geometric Science of Information (GSI 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14071))

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Abstract

In this article, we study a semi-discrete finite volume scheme for fractional conservation laws perturbed with Lévy noise. With the help of bounded variation estimates and Kružkov’s theory we provide a rate of convergence result.

Supported by FCT project no. UIDB/00208/2020.

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References

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Author information

Authors and Affiliations

  1. Grupo de Física Matemática, Universidade de Lisboa, Lisboa, Portugal

    Neeraj Bhauryal

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  1. Neeraj Bhauryal
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Correspondence to Neeraj Bhauryal .

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Editors and Affiliations

  1. Sony Computer Science Laboratories Inc., Tokyo, Japan

    Frank Nielsen

  2. THALES Land and Air Systems, Meudon, France

    Frédéric Barbaresco

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Bhauryal, N. (2023). A Finite Volume Scheme for Fractional Conservation Laws Driven by Lévy Noise. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, vol 14071. Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_60

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  • DOI: https://doi.org/10.1007/978-3-031-38271-0_60

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-38270-3

  • Online ISBN: 978-3-031-38271-0

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