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Data and Mathematical Tools

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Dimension Reduced Modeling of Blood Flow in Large Arteries

Part of the book series: Mathematical Engineering ((MATHENGIN))

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Abstract

In this chapter, we list some mathematical tools and statements that are applied in different parts of the book.

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References

  1. Čanić S, Kim E (2003) Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi-symmetric vessels. Math Methods Appl Sci 26(14):1161–1186. Wiley Online Library

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  2. Forster O (1978) Analysis. Springer

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  3. Leitmann G (2013) The calculus of variations and optimal control: an introduction, vol 24. Springer Science & Business Media

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  4. Evans L (1998) Partial differential equations. American Mathematical Society, Providence, Rhode Island

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Author information

Authors and Affiliations

  1. Computational Mathematics, Faculty of Sciences, Hasselt University, Diepenbeek, Belgium

    Tobias Köppl

  2. Institute for Modelling Hydraulic and Environmental Systems (IWS), University of Stuttgart, Stuttgart, Germany

    Rainer Helmig

Authors
  1. Tobias Köppl
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  2. Rainer Helmig
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Corresponding author

Correspondence to Tobias Köppl .

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Köppl, T., Helmig, R. (2023). Data and Mathematical Tools. In: Dimension Reduced Modeling of Blood Flow in Large Arteries. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-33087-2_7

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  • DOI: https://doi.org/10.1007/978-3-031-33087-2_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-33086-5

  • Online ISBN: 978-3-031-33087-2

  • eBook Packages: EngineeringEngineering (R0)

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