Advances in Applied Mathematics, Modeling, and Computational Science

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Roderick Melnik, Ilias S Kotsireas
Springer Science & Business Media, Sep 23, 2012 - Mathematics - 242 pages
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The volume presents a selection of in-depth studies and state-of-the-art surveys of several challenging topics that are at the forefront of modern applied mathematics, mathematical modeling, and computational science. These three areas represent the foundation upon which the methodology of mathematical modeling and computational experiment is built as a ubiquitous tool in all areas of mathematical applications. This book covers both fundamental and applied research, ranging from studies of elliptic curves over finite fields with their applications to cryptography, to dynamic blocking problems, to random matrix theory with its innovative applications. The book provides the reader with state-of-the-art achievements in the development and application of new theories at the interface of applied mathematics, modeling, and computational science.

This book aims at fostering interdisciplinary collaborations required to meet the modern challenges of applied mathematics, modeling, and computational science. At the same time, the contributions combine rigorous mathematical and computational procedures and examples from applications ranging from engineering to life sciences, providing a rich ground for graduate student projects.

 

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Contents

Interconnected Challenges and New Perspectives in Applied Mathematical and Computational Sciences
1
Dynamic Blocking Problems for a Model of Fire Propagation
11
Survey and New Developments
41
Number Theoretic and Cryptographic Aspects
64
Random Matrix Theory and Its Innovative Applications
91
Boundary Closures for SixthOrder EnergyStable Weighted Essentially NonOscillatory FiniteDifference Schemes
117
A Multiscale Method Coupling Network and Continuum Models in Porous Media IISingle and TwoPhase Flows
161
Statistical Geometry and Topology of the Human Placenta
187
Illustrating Optimal Control Applications with Discrete and Continuous Features
209
Index
239
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