TY - GEN AU - Melnik, Roderick, AU - Kotsireas, Ilias, TI - Advances in applied mathematics, modeling, and computational science T2 - Fields Institute communications SN - 9781489989871 U1 - 510 23 PY - 2013/// CY - New York PB - Springer KW - Mathematics. KW - Mathematical models. KW - Computer science KW - Mathematics N1 - Includes bibliographical references and index; 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, Carolyn M. Salafia, and Dimitri D. Vvedensky -- Illustrating optimal control applications with discrete and continuous features / Suzanne Lenhart, Erin Bodine, Peng Zhong, and Hem Raj Joshi N2 - 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 ER -