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E-raamat: Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science

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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.

Part I Modern Challenges and Interdisciplinary Interactions via Mathematical, Statistical, and Computational Models
Modern Challenges and Interdisciplinary Interactions via Mathematical, Statistical, and Computational Models
3(14)
Roderick Melnik
Roman Makarov
Jacques Belair
Part II Large Deviation Theory and Random Perturbations of Dynamical Systems with Applications
Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools
17(42)
Tobias Grafke
Tobias Schafer
Eric Vanden-Eijnden
Part III Nonlinear Waves, Hyperbolic Problems, and their Applications
Long Time Dynamics and Coherent States in Nonlinear Wave Equations
59(30)
E. Kirr
About Non Linear Stabilization for Scalar Hyperbolic Problems
89(30)
Remi Abgrall
Part IV Group-Theoretical Approaches to Conservation Laws and Their Applications
Generalization of Noether's Theorem in Modern Form to Non-variational Partial Differential Equations
119(66)
Stephen C. Anco
Part V Materials Science, Engineering, and New Technologies
Adaptive Simulation Selection for the Discovery of the Ground State Line of Binary Alloys with a Limited Computational Budget
185(28)
Jesper Kristensen
Ilias Bilionis
Nicholas Zabaras
Recent Developments in Spectral Element Simulations of Moving-Domain Problems
213(32)
Paul Fischer
Martin Schmitt
Ananias Tomboulides
Eight Great Reasons to Do Mathematics
245(20)
Chris Budd
Part VI Finance and Systemic Risk
Calculation of Exposure Profiles and Sensitivities of Options under the Heston and the Heston Hull-White Models
265(38)
Q. Feng
C.W. Oosterlee
A Note on Independence Copula for Conditional Markov Chains
303(20)
Tomasz R. Bielecki
Jacek Jakubowski
Mariusz Niewegtowski
The Construction and Properties of Assortative Configuration Graphs
323(26)
T.R. Hurd
Part VII Life and Environmental Sciences
Coexistence in the Face of Uncertainty
349(38)
Sebastian J. Schreiber
Part VIII Number Theory and Algebraic Geometry in Cryptography and Other Applications
Computing Elliptic Curves over Q: Bad Reduction at One Prime
387(32)
Michael A. Bennett
Andrew Rechnitzer
Part IX Sustainability and Cooperation
Sustainability of Cooperation in Dynamic Games Played over Event Trees
419(20)
Georges Zaccour
Index 439