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Advances in Applied Mathematics, Modeling, and Computational Science

Roderick Melnik, Ilias S. Kotsireas (Herausgeber)

Buch | Hardcover

242 Seiten

2012 | 2013 ed.
Springer-Verlag New York Inc.
978-1-4614-5388-8 (ISBN)

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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.

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).

Reihe/Serie	Fields Institute Communications ; 66
Zusatzinfo	X, 242 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Weitere Themen ► Bioinformatik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	1-4614-5388-7 / 1461453887
ISBN-13	978-1-4614-5388-8 / 9781461453888
Zustand	Neuware