Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science

  • Roderick Melnik
  • Roman Makarov
  • Jacques Belair

Part of the Fields Institute Communications book series (FIC, volume 79)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Modern Challenges and Interdisciplinary Interactions via Mathematical, Statistical, and Computational Models

    1. Front Matter
      Pages 1-1
  3. Large Deviation Theory and Random Perturbations of Dynamical Systems with Applications

    1. Front Matter
      Pages 15-15
  4. Nonlinear Waves, Hyperbolic Problems, and their Applications

  5. Group-Theoretical Approaches to Conservation Laws and Their Applications

  6. Materials Science, Engineering, and New Technologies

    1. Front Matter
      Pages 183-183
    2. Paul Fischer, Martin Schmitt, Ananias Tomboulides
      Pages 213-244
    3. Chris Budd
      Pages 245-262
  7. Finance and Systemic Risk

    1. Front Matter
      Pages 263-263
    2. Tomasz R. Bielecki, Jacek Jakubowski, Mariusz Niewęgłowski
      Pages 303-321
  8. Life and Environmental Sciences

    1. Front Matter
      Pages 347-347
    2. Sebastian J. Schreiber
      Pages 349-384
  9. Number Theory and Algebraic Geometry in Cryptography and Other Applications

    1. Front Matter
      Pages 385-385
    2. Michael A. Bennett, Andrew Rechnitzer
      Pages 387-415
  10. Sustainability and Cooperation

    1. Front Matter
      Pages 417-417
  11. Back Matter
    Pages 439-444

About this book


This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science. 

The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.


Markov chains nonlinear wave equations elliptic curves Heston-Hull-White model Heston model coexistence demographic noise environmental stochasticity stochastic population dynamics dynamic games cooperation sustainability

Editors and affiliations

  • Roderick Melnik
    • 1
  • Roman Makarov
    • 2
  • Jacques Belair
    • 3
  1. 1.Department of Mathematics and MS2Discovery Interdisciplinary Research InstituteWilfrid Laurier UniversityWaterlooCanada
  2. 2.Department of Mathematics and MS2Discovery Interdisciplinary Research InstituteWilfrid Laurier UniversityWaterlooCanada
  3. 3.Departement de MathematiquesUniversite de MontrealMontrealCanada

Bibliographic information