Overview

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.

Full Product Details

Author:   Roderick Melnik ,  Ilias S. Kotsireas
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Volume:   66
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   3.869kg
ISBN:  

9781489989871

ISBN 10:   1489989870
Pages:   242
Publication Date:   15 October 2014
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.-Interconnected Challenges and New Perspectives in Applied Mathematical and Computational Sciences (Melnik, Korsireas).-Dynamic Blocking Problems for a Model of Fire Propagation (Bressan).-Inverse Lax-Wendroff Procedure for Numerical Boundary Conditions of Hyperbolic Equations: Survey and New Developments (Tan, Shu).-Illiptic Curves Over Finite Fields (Shparlinski).-Random Matrix Theory and its Innovative (Edelman, Wang).-Boundary Closures for Sixth-Order Energy-Stable Weighted Essentially Non-Oscillatory Finite-Difference Schemes (Carpenter, Yamaleev, Fisher).-A Multiscale Method Coupling Network and Continuum Models in Porous Media II—Single- and Two-Phase Flows (Chu, Engquist, Prodanovic, Tsai).-Statistical Geometry and Topology of the Human Placenta (Seong, Getreuer, Li, Girardi, Salafia, Vvedensky).-Illustrating Optimal Control Applications with Discrete and Continuous Features (Lenhart, Bodine, Zhong, Joshi).

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