Advances in applied mathematics, modeling, and computational science Roderick Melnik, Ilias S. Kotsireas, editors

Format:

Book

Contributor:

Melnik, Roderick

Kotsireas, Ilias

Series:

Fields Institute communications v. 66

Fields Institute communications 1069-5265 v. 66

Language:

English

Subjects (All):

Mathematics.

Mathematical models.

Computer science--Mathematics.

Computer science.

Models, Theoretical.

mathematical models.

Medical Subjects:

Mathematics.

Models, Theoretical.

Physical Description:

1 online resource

Place of Publication:

New York Springer ©2013

Language Note:

English

System Details:

data file

Summary:

This 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 tool in all areas of applications of mathematics. The articles cover both fundamental and applied research, and provide the reader with state-of-the-art achievements in the development and application of new theories at the interfaces of applied mathematics, modeling, and computational science. The book can serve as a reference on several important current topics in modern applied mathematics and modeling, including random matrix theory with its innovative applications, and dynamic blocking problems. Other important areas covered include: energy stable weighted essentially non-oscillatory schemes with applications in fluid dynamics and aerospace sciences; elliptic curves over finite fields and their applications in cryptography; multiple scale methods coupling network and continuum models and their applications in various areas involving porous media; new and efficient finite difference schemes for hyperbolic equations; statistical geometric and topological techniques and their applications in the life sciences; optimal control applications combining discrete and continuous features. The material presented in 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 a variety of applications ranging from engineering to life sciences, and provide a rich source for graduate student projects

Contents:

Interconnected Challenges and New Perspectives in Applied Mathematical and Computational Sciences Roderick V.N. Melnik and Ilias S. Kotsireas Dynamic Blocking Problems for a Model of Fire Propagation Alberto Bressan Inverse Lax-Wendroff Procedure for Numerical Boundary Conditions of Hyperbolic Equations: Survey and New Developments Sirui Tan and Chi-Wang Shu Elliptic Curves over Finite Fields: Number Theoretic and Cryptographic Aspects Igor E. Shparlinski Random Matrix Theory and Its Innovative Applications Alan Edelman and Yuyang Wang Boundary Closures for Sixth-Order Energy-Stable Weighted Essentially Non-Oscillatory Finite-Difference Schemes Mark H. Carpenter, Travis C. Fisher and Nail K. Yamaleev A Multiscale Method Coupling Network and Continuum Models in Porous Media II

Single- and Two-Phase Flows Jay Chu, Björn Engquist, Maša Prodanović and Richard Tsai Statistical Geometry and Topology of the Human Placenta Rak-Kyeong Seong, Pascal Getreuer, Yingying Li, Theresa Girardi and Carolyn M. Salafia, et al. Illustrating Optimal Control Applications with Discrete and Continuous Features Suzanne Lenhart, Erin Bodine, Peng Zhong and Hem Raj Joshi

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version Advances in applied mathematics, modeling, and computational science

ISBN:

9781461453895

1461453895

OCLC:

811773008

Access Restriction:

Restricted for use by site license