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High-Gradient Method for the Solution of First Order Hyperbolic Type Systems with Partial Differential Equations

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Smart Modeling for Engineering Systems (GCM50 2018)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 133))

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Abstract

The effective difference method based on characteristic directions isolation and consequent approximation of partial derivatives in pre-assigned finite-dimensional space is suggested for the numerical simulation of physical processes with the strong discontinues in mechanics of continua and plasma physics.

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References

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Author information

Authors and Affiliations

  1. Moscow Institute of Physics and Technology (MIPT), 9 Institutskiy per., Dolgoprudny, Moscow Region, 141701, Russian Federation

    Vladimir V. Demchenko

Authors
  1. Vladimir V. Demchenko
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Corresponding author

Correspondence to Vladimir V. Demchenko .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Numerical Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Igor B. Petrov

  2. Department of Applied Computational Geophysics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Alena V. Favorskaya

  3. Institute of Informatics and Telecommunications, Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

    Margarita N. Favorskaya

  4. Department of Computational Physics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Sergey S. Simakov

  5. Faculty of Engineering and Information Technology, Centre for Artificial Intelligence, University of Technology, Sydney, NSW, Australia

    Lakhmi C. Jain

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Demchenko, V.V. (2019). High-Gradient Method for the Solution of First Order Hyperbolic Type Systems with Partial Differential Equations. In: Petrov, I., Favorskaya, A., Favorskaya, M., Simakov, S., Jain, L. (eds) Smart Modeling for Engineering Systems. GCM50 2018. Smart Innovation, Systems and Technologies, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-030-06228-6_8

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