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

Part I. Modern Challenges and Interdisciplinary Interactions via Mathematical, Statistical, and Computational Models

1. Modern Challenges and Interdisciplinary Interactions via Mathematical, Statistical, and Computational Models
Roderick Melnik, Roman Makarov, Jacques Belair

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

2. Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools
Tobias Grafke, Tobias Schäfer, Eric Vanden-Eijnden

Part III. Nonlinear Waves, Hyperbolic Problems, and their Applications

3. Long Time Dynamics and Coherent States in Nonlinear Wave Equations
E. Kirr

4. About Non Linear Stabilization for Scalar Hyperbolic Problems
Rémi Abgrall

Part IV. Group-Theoretical Approaches to Conservation Laws and Their Applications

5. Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations
Stephen C. Anco

Part V. Materials Science, Engineering, and New Technologies

6. 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

7. Recent Developments in Spectral Element Simulations of Moving-Domain Problems
Paul Fischer, Martin Schmitt, Ananias Tomboulides

8. Eight Great Reasons to Do Mathematics
Chris Budd

Part VI. Finance and Systemic Risk

9. Calculation of Exposure Profiles and Sensitivities of Options under the Heston and the Heston Hull-White Models
Q. Feng, C. W. Oosterlee

10. A Note on Independence Copula for Conditional Markov Chains
Tomasz R. Bielecki, Jacek Jakubowski, Mariusz Niewęgłowski

11. The Construction and Properties of Assortative Configuration Graphs
T. R. Hurd

Part VII. Life and Environmental Sciences

12. Coexistence in the Face of Uncertainty
Sebastian J. Schreiber

Part VIII. Number Theory and Algebraic Geometry in Cryptography and Other Applications

13. Computing Elliptic Curves over



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: Bad Reduction at One Prime
Michael A. Bennett, Andrew Rechnitzer

Part IX. Sustainability and Cooperation

14. Sustainability of Cooperation in Dynamic Games Played over Event Trees
Georges Zaccour

Keywords: Mathematics, Mathematical Modeling and Industrial Mathematics, Computational Science and Engineering