Fast Method for Solving the Wave Equation

This chapter focuses on the numerical solution of the wave equation. Partial differential equations play a key role in many fields of science and engineering. Recently, however, the emergence of massively parallel computer systems has suggested an alterna

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Olga Dolinina · Igor Bessmertny ·  Alexander Brovko · Vladik Kreinovich ·  Vitaly Pechenkin · Alexey Lvov ·  Vadim Zhmud   Editors

Recent Research in Control Engineering and Decision Making Volume 2, 2020

Studies in Systems, Decision and Control Volume 337

Series Editor Janusz Kacprzyk, Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

The series “Studies in Systems, Decision and Control” (SSDC) covers both new developments and advances, as well as the state of the art, in the various areas of broadly perceived systems, decision making and control–quickly, up to date and with a high quality. The intent is to cover the theory, applications, and perspectives on the state of the art and future developments relevant to systems, decision making, control, complex processes and related areas, as embedded in the fields of engineering, computer science, physics, economics, social and life sciences, as well as the paradigms and methodologies behind them. The series contains monographs, textbooks, lecture notes and edited volumes in systems, decision making and control spanning the areas of Cyber-Physical Systems, Autonomous Systems, Sensor Networks, Control Systems, Energy Systems, Automotive Systems, Biological Systems, Vehicular Networking and Connected Vehicles, Aerospace Systems, Automation, Manufacturing, Smart Grids, Nonlinear Systems, Power Systems, Robotics, Social Systems, Economic Systems and other. Of particular value to both the contributors and the readership are the short publication timeframe and the world-wide distribution and exposure which enable both a wide and rapid dissemination of research output. Indexed by SCOPUS, DBLP, WTI Frankfurt eG, zbMATH, SCImago. All books published in the series are submitted for consideration in Web of Science.

More information about this series at http://www.springer.com/series/13304

Olga Dolinina Igor Bessmertny Alexander Brovko Vladik Kreinovich Vitaly Pechenkin Alexey Lvov Vadim Zhmud •











Editors

Recent Research in Control Engineering and Decision Making Volume 2, 2020

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Editors Olga Dolinina Yury Gagarin State Technical University of Saratov Saratov, Russia Alexander Brovko Yury Gagarin State Technical University of Saratov Saratov, Russia Vitaly Pechenkin Yury Gagarin State Technical University of Saratov Saratov, Russia

Igor Bessmertny ITMO University Saint Petersburg, Russia Vladik Kreinovich University of Texas at El Paso El Paso, USA Alexey Lvov Yury Gagarin State Technical University of Saratov Saratov, Russia

Vadim Zhmud Novosibirsk State Technical University Novosibirsk, Russia

ISSN 2198-4182 ISSN 2198-4190 (electronic) Studies in Systems, Decision and Control ISBN 978-3-030-65282-1 ISBN 978-3-030-65283-8 (eBook) https://doi.org/10.1007/978-3-030-65283-8 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is co