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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Advances in applied mathematics, modeling, and computational science. [Toronto, Ont.] : Fields Institute for Research in the Mathematical Sciences ; New York, NY : Springer, ©2013 (OCoLC)802321851 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Roderick Melnik; Ilias Kotsireas |

ISBN: | 9781461453895 1461453895 1461453887 9781461453888 9781283909747 128390974X |

OCLC Number: | 811773008 |

Description: | 1 online resource (ix, 242 pages) : illustrations (some color). |

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. |

Series Title: | Fields Institute communications, v. 66. |

Responsibility: | Roderick Melnik, Ilias S. Kotsireas, editors. |

### Abstract:

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.

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