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Modeling in Mathematics

Proceedings of the Second Tbilisi-Salerno Workshop on Modeling in Mathematics

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Johan Gielis

    1. Bio-Engineering Sciences, University of Antwerp, Antwerp, Belgium

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  2. Paolo Emilio Ricci

    1. International Telematic University UniNettuno, Roma, Italy

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  3. Ilia Tavkhelidze

    1. Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

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  • The book contains a wealth of modern modeling tools for natural phenomena
  • Key developments are explained step by step with clear illustrations and supported by online material
  • The single source for modeling based on the Gielis Formula and Generalized Mobius-Listing surfaces and bodies
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Transactions in Geometry (ATLANTIS, volume 2)

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Table of contents (11 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Fractional–Calculus–Based FDTD Algorithm for Ultra–Wideband Electromagnetic Pulse Propagation in Complex Layered Havriliak–Negami Media

    • Diego Caratelli, Luciano Mescia, Pietro Bia
    Pages 1-15

  3. Spherical Harmonic Solution of the Robin Problem for the Laplace Equation in Supershaped Shells

    • Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci
    Pages 17-30

  4. Evolution Equations Involving Matrices Raised to Non-Integer Exponents

    • Giuseppe Dattoli, Silvia Licciardi, Federico Nguyen, Elio Sabia
    Pages 31-41

  5. Hermite Calculus

    • Giuseppe Dattoli, Bruna Germano, Silvia Licciardi, Maria Renata Martinelli
    Pages 43-52

  6. Modal Epistemic Łukasiewicz Logic with Constant and Its Application in Immune System

    • Antonio Di Nola, Revaz Grigolia, Nunu Mitskevich
    Pages 53-65

  7. Potential Fields of Self Intersecting Gielis Curves for Modeling and Generalized Blending Techniques

    • Yohan Fougerolle, Frédéric Truchetet, Johan Gielis
    Pages 67-81

  8. A Biogeometrical Model for Corolla Fusion in Asclepiad Flowers

    • Johan Gielis, Diego Caratelli, Yohan Fougerolle, Paolo Emilio Ricci, Tom Gerats
    Pages 83-105

  9. A Note About Generalized Forms of the Gielis Formula

    • Johan Gielis, Pierpaolo Natalini, Paolo Emilio Ricci
    Pages 107-116

  10. Avoiding Higher Matrix Powers in the Solution of Linear Dynamical Systems

    • Pierpaolo Natalini, Paolo Emilio Ricci
    Pages 117-127

  11. On a Geometric Model of Bodies with “Complex” Configuration and Some Movements

    • Ilia Tavkhelidze, Diego Caratelli, Johan Gielis, Paolo Emilio Ricci, Mamanti Rogava, Maria Transirico
    Pages 129-158

  12. Some Properties of “Bulky” Links, Generated by Generalised Möbius–Listing’s Bodies \(GML_m^n\{0\}\)

    • Ilia Tavkhelidze, Paolo Emilio Ricci
    Pages 159-185
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Keywords

About this book

This book contains a collection of papers presented at the 2nd Tbilisi Salerno Workshop on Mathematical Modeling  in March 2015.  The focus is on applications of mathematics in physics, electromagnetics, biochemistry and botany, and covers such  topics as multimodal logic, fractional calculus, special functions,  Fourier-like solutions for PDE’s,  Rvachev-functions and linear dynamical systems.  Special  chapters focus on recent uniform analytic descriptions of natural and abstract shapes using the Gielis Formula.  The book is intended for a wide audience with interest in application of mathematics to modeling in the natural sciences.


Editors and Affiliations

  • Bio-Engineering Sciences, University of Antwerp, Antwerp, Belgium

    Johan Gielis

  • International Telematic University UniNettuno, Roma, Italy

    Paolo Emilio Ricci

  • Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

    Ilia Tavkhelidze

Bibliographic Information

  • Book Title: Modeling in Mathematics

  • Book Subtitle: Proceedings of the Second Tbilisi-Salerno Workshop on Modeling in Mathematics

  • Editors: Johan Gielis, Paolo Emilio Ricci , Ilia Tavkhelidze

  • Series Title: Atlantis Transactions in Geometry

  • DOI: https://doi.org/10.2991/978-94-6239-261-8

  • Publisher: Atlantis Press Paris

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Atlantis Press and the author(s) 2017

  • Hardcover ISBN: 978-94-6239-260-1Published: 21 April 2017

  • eBook ISBN: 978-94-6239-261-8Published: 20 April 2017

  • Series ISSN: 2543-0300

  • Series E-ISSN: 2543-0319

  • Edition Number: 1

  • Number of Pages: X, 185

  • Number of Illustrations: 12 b/w illustrations, 59 illustrations in colour

  • Topics: Mathematical Physics, Topology, Algebra, Geometry

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