Editors:
- Explores connections and emerging trends in mathematical modeling, computational methods, and high performance computing
- Examines complex problems in the natural sciences and engineering, and how recent developments in high performance computing may help solve them
- Collects talks presented at the conference Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST), held in January 2020
Part of the book series: Trends in Mathematics (TM)
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Table of contents (32 papers)
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Front Matter
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Partial and Ordinary Differential Equations
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Front Matter
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Optimization and Optimal Control
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Front Matter
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About this book
This volume explores the connections between mathematical modeling, computational methods, and high performance computing, and how recent developments in these areas can help to solve complex problems in the natural sciences and engineering. The content of the book is based on talks and papers presented at the conference Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST), held at Inderprastha Engineering College in Ghaziabad, India in January 2020. A wide range of both theoretical and applied topics are covered in detail, including the conceptualization of infinity, efficient domain decomposition, high capacity wireless communication, infectious disease modeling, and more. These chapters are organized around the following areas:
- Partial and ordinary differential equations
- Optimization and optimal control
- High performance and scientific computing
- Stochastic models and statistics
Recent Trends in Mathematical Modeling and High Performance Computing will be of interest to researchers in both mathematics and engineering, as well as to practitioners who face complex models and extensive computations.
Keywords
- PDEs high performance computing
- ODEs high performance computing
- Optimization high performance computing
- Control high performance computing
- Stochastic models high performance computing
- 5G wave modulation
- Stochastic delayed system control
- Hybrid metaheuristic algorithms
- Vector equilibrium optimality
- Pseudoconvexity
- Quasiconvexity
- Semilinear stochastic equation
- Machine learning high performance computing
- Artificial intelligence high performance computing
Editors and Affiliations
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Department of Applied Mathematics, Inderprastha Engineering College, Ghaziabad, UP, India
Vinai K. Singh
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DIMES, University of Calabria, Rende, Italy
Yaroslav D. Sergeyev
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Faculty of Math and Natural Sciences, Technische Universität Dresden, Dresden, Germany
Andreas Fischer
Bibliographic Information
Book Title: Recent Trends in Mathematical Modeling and High Performance Computing
Book Subtitle: M3HPCST-2020, Ghaziabad, India, January 9-11, 2020
Editors: Vinai K. Singh, Yaroslav D. Sergeyev, Andreas Fischer
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-030-68281-1
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-68280-4Published: 24 August 2021
Softcover ISBN: 978-3-030-68283-5Published: 25 August 2022
eBook ISBN: 978-3-030-68281-1Published: 23 August 2021
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XVI, 441
Number of Illustrations: 39 b/w illustrations, 111 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Computational Science and Engineering, Mathematical Applications in Computer Science, Math Applications in Computer Science, Numerical Analysis