Advances in Applied Mathematics, Modeling, and Computational Science

✍ Scribed by Roderick V. N. Melnik, Ilias S. Kotsireas (auth.), Roderick Melnik, Ilias S. Kotsireas (eds.)

• Publisher: Springer US
• Year: 2013
• Tongue: English
• Leaves: 247
• Series: Fields Institute Communications 66
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-IX
Interconnected Challenges and New Perspectives in Applied Mathematical and Computational Sciences....Pages 1-10
Dynamic Blocking Problems for a Model of Fire Propagation....Pages 11-40
Inverse Lax–Wendroff Procedure for Numerical Boundary Conditions of Hyperbolic Equations: Survey and New Developments....Pages 41-63
Elliptic Curves over Finite Fields: Number Theoretic and Cryptographic Aspects....Pages 65-90
Random Matrix Theory and Its Innovative Applications....Pages 91-116
Boundary Closures for Sixth-Order Energy-Stable Weighted Essentially Non-Oscillatory Finite-Difference Schemes....Pages 117-160
A Multiscale Method Coupling Network and Continuum Models in Porous Media II—Single- and Two-Phase Flows....Pages 161-185
Statistical Geometry and Topology of the Human Placenta....Pages 187-208
Illustrating Optimal Control Applications with Discrete and Continuous Features....Pages 209-238
Back Matter....Pages 239-242

✦ Subjects

Mathematical Modeling and Industrial Mathematics; Applications of Mathematics; Mathematical and Computational Biology