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© 2020

Computational Mathematics and Variational Analysis

  • Nicholas J. Daras
  • Themistocles M. Rassias
Book

Part of the Springer Optimization and Its Applications book series (SOIA, volume 159)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Evagelia S. Athanasiadou, Vassilios Sevroglou, Stefania Zoi
    Pages 1-23
  3. Alexis Bonnecaze, Robert Rolland
    Pages 25-32
  4. Aleksandra Delić, Boško S. Jovanović, Sandra Živanović
    Pages 55-79
  5. Alaa E. Hamza, Enas M. Shehata, Praveen Agarwal
    Pages 121-134
  6. Artion Kashuri, Themistocles M. Rassias
    Pages 135-151
  7. Artion Kashuri, Themistocles M. Rassias, Rozana Liko
    Pages 153-175
  8. Christos P. Kitsos, Amílcar Oliveira
    Pages 177-190
  9. Christos P. Kitsos, Amílcar Oliveira
    Pages 191-206
  10. Odysseas Kosmas, Dimitrios Papadopoulos, Dimitrios Vlachos
    Pages 207-226
  11. Jung Rye Lee, Choonkil Park, Themistocles M. Rassias
    Pages 227-245
  12. Gerasimos C. Meletiou, Dimitrios S. Triantafyllou, Michael N. Vrahatis
    Pages 247-259
  13. Muhammad Aslam Noor, Khalida Inayat Noor
    Pages 261-277
  14. Nikolaos K. Papadakis
    Pages 279-297
  15. Choonkil Park, Themistocles M. Rassias
    Pages 315-341

About this book

Introduction

This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering.

Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Keywords

Mathematical Analysis Differential Equations Numerical Analysis Approximation Theory Complex Analysis Functional Analysis non-linear analysis linear analysis

Editors and affiliations

  • Nicholas J. Daras
    • 1
  • Themistocles M. Rassias
    • 2
  1. 1.Department of MathematicsHellenic Military AcademyVari AttikisGreece
  2. 2.Department of MathematicsNational Technical University of AthensAthensGreece

About the editors

Nicholas J. Daras is the Dean and professor of mathematics at the Hellenic Military Academy. He has authored over 70 articles including 18 books and has edited 7 books. Professor Daras has received a “best paper in mathematics Award” by the Academy of Athens. Daras is also the supervisor of several doctoral, masters, and diploma theses.

Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization. His publications have received a large number of citations, with h-index 46.


Bibliographic information