Recent progress and modern challenges in applied mathematics, modeling and computational science

✍ Scribed by Belair, Jacques; Makarov, Roman; Melnik, Roderick

• Publisher: Springer
• Year: 2017
• Tongue: English
• Leaves: 437
• Series: Fields Institute communications 79
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-viii
Front Matter ....Pages 1-1
Modern Challenges and Interdisciplinary Interactions via Mathematical, Statistical, and Computational Models (Roderick Melnik, Roman Makarov, Jacques Belair)....Pages 3-14
Front Matter ....Pages 15-15
Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools (Tobias Grafke, Tobias Schäfer, Eric Vanden-Eijnden)....Pages 17-55
Front Matter ....Pages 57-57
Long Time Dynamics and Coherent States in Nonlinear Wave Equations (E. Kirr)....Pages 59-88
About Non Linear Stabilization for Scalar Hyperbolic Problems (Rémi Abgrall)....Pages 89-116
Front Matter ....Pages 117-117
Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations (Stephen C. Anco)....Pages 119-182
Front Matter ....Pages 183-183
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
Recent Developments in Spectral Element Simulations of Moving-Domain Problems (Paul Fischer, Martin Schmitt, Ananias Tomboulides)....Pages 213-244
Eight Great Reasons to Do Mathematics (Chris Budd)....Pages 245-262
Front Matter ....Pages 263-263
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
A Note on Independence Copula for Conditional Markov Chains (Tomasz R. Bielecki, Jacek Jakubowski, Mariusz Niewęgłowski)....Pages 303-321
The Construction and Properties of Assortative Configuration Graphs (T. R. Hurd)....Pages 323-346
Front Matter ....Pages 347-347
Coexistence in the Face of Uncertainty (Sebastian J. Schreiber)....Pages 349-384
Front Matter ....Pages 385-385
Computing Elliptic Curves over (\mathbb{Q}): Bad Reduction at One Prime (Michael A. Bennett, Andrew Rechnitzer)....Pages 387-415
Front Matter ....Pages 417-417
Sustainability of Cooperation in Dynamic Games Played over Event Trees (Georges Zaccour)....Pages 419-437
Back Matter ....Pages 439-444

✦ Subjects

Mathematics;Mathematical models;Computer science -- Mathematics;MATHEMATICS / Essays;MATHEMATICS / Pre-Calculus;MATHEMATICS / Reference