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

  • Book
  • © 2017

Overview

Editors:
  1. Roderick Melnik

    1. Department of Mathematics and MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Canada

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    You can also search for this editor in PubMed   Google Scholar

  2. Roman Makarov

    1. Department of Mathematics and MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Canada

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    You can also search for this editor in PubMed   Google Scholar

  3. Jacques Belair

    1. Departement de Mathematiques, Universite de Montreal, Montreal, Canada

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    You can also search for this editor in PubMed   Google Scholar

  • Provides information on recent progress and challenges in selected areas of applied mathematics, modelling, and computational science
  • Balances fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and promoting collaborations in addressing new issues in these areas
  • Written by experts in their respective fields

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

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Table of contents (14 chapters)

  1. Front Matter

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

    1. Front Matter

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

      • Roderick Melnik, Roman Makarov, Jacques Belair
      Pages 3-14

  3. Large Deviation Theory and Random Perturbations of Dynamical Systems with Applications

    1. Front Matter

      Pages 15-15
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    2. Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools

      • Tobias Grafke, Tobias Schäfer, Eric Vanden-Eijnden
      Pages 17-55

  4. Nonlinear Waves, Hyperbolic Problems, and their Applications

    1. Front Matter

      Pages 57-57
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    2. Long Time Dynamics and Coherent States in Nonlinear Wave Equations

      • E. Kirr
      Pages 59-88

    3. About Non Linear Stabilization for Scalar Hyperbolic Problems

      • Rémi Abgrall
      Pages 89-116

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

    1. Front Matter

      Pages 117-117
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    2. Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations

      • Stephen C. Anco
      Pages 119-182

  6. Materials Science, Engineering, and New Technologies

    1. Front Matter

      Pages 183-183
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    2. Adaptive Simulation Selection for the Discovery of the Ground State Line of Binary Alloys with a Limited Computational Budget

      • Jesper Kristensen, Ilias Bilionis, Nicholas Zabaras
      Pages 185-211

    3. Recent Developments in Spectral Element Simulations of Moving-Domain Problems

      • Paul Fischer, Martin Schmitt, Ananias Tomboulides
      Pages 213-244

    4. Eight Great Reasons to Do Mathematics

      • Chris Budd
      Pages 245-262

  7. Finance and Systemic Risk

    1. Front Matter

      Pages 263-263
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    2. Calculation of Exposure Profiles and Sensitivities of Options under the Heston and the Heston Hull-White Models

      • Q. Feng, C. W. Oosterlee
      Pages 265-301

    3. A Note on Independence Copula for Conditional Markov Chains

      • Tomasz R. Bielecki, Jacek Jakubowski, Mariusz NiewÄ™gÅ‚owski
      Pages 303-321

    4. The Construction and Properties of Assortative Configuration Graphs

      • T. R. Hurd
      Pages 323-346

  8. Life and Environmental Sciences

    1. Front Matter

      Pages 347-347
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    2. Coexistence in the Face of Uncertainty

      • Sebastian J. Schreiber
      Pages 349-384
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Keywords

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.

Editors and Affiliations

  • Department of Mathematics and MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Canada

    Roderick Melnik, Roman Makarov

  • Departement de Mathematiques, Universite de Montreal, Montreal, Canada

    Jacques Belair

Bibliographic Information

  • Book Title: Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science

  • Editors: Roderick Melnik, Roman Makarov, Jacques Belair

  • Series Title: Fields Institute Communications

  • DOI: https://doi.org/10.1007/978-1-4939-6969-2

  • Publisher: Springer New York, NY

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

  • Copyright Information: Springer Science+Business Media LLC 2017

  • Hardcover ISBN: 978-1-4939-6968-5Published: 07 September 2017

  • Softcover ISBN: 978-1-4939-8355-1Published: 03 August 2018

  • eBook ISBN: 978-1-4939-6969-2Published: 05 September 2017

  • Series ISSN: 1069-5265

  • Series E-ISSN: 2194-1564

  • Edition Number: 1

  • Number of Pages: VIII, 444

  • Number of Illustrations: 10 b/w illustrations, 54 illustrations in colour

  • Topics: Mathematical Modeling and Industrial Mathematics, Computational Science and Engineering

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