Frontiers Of Applied And Computational Mathematics

This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM'08), held at the New Jersey Institute of Technology (NJIT), May 19?21, 2008. The papers reflect the conference themes of mathematical biology, mathematical fluid dynamics, applied statistics and biostatistics, and waves and electromagnetics. Some of the world's most distinguished experts in the conference focus areas provide a unique and timely perspective on leading-edge research, research trends, and important open problems in several fields, making it a ?must read? for active mathematical scientists. Included are major new contributions by a distinguished trio of plenary speakers: Frank Hoppensteadt contributes a thought-provoking paper on the evolving relationship between applied mathematics and the computer; Pranab Sen explores exciting new trends in computational biology and informatics; and Jean-Marc Vanden-Broeck describes his recent research on 3D free surface flows. There are also many innovative contributions by a prestigious group of invited mini-symposium speakers, making this an indispensable collection for professionals and graduate students in the mathematical sciences and related fields.Finally, the 75th birthday dedication to Daljit S Ahluwalia ? for his many contributions to building a world-class mathematical sciences department at NJIT ? adds to making this a one-of-a-kind volume.

The author captures the interplay between mathematics and the design of effective numerical algorithms.

This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own, and graduates in mathematical sciences.

A set of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area. Detailed proofs of key results are provided. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians.

This book allows you to understand fully the modern tools of numerical analysis in finance.

The papers were elicited primarily from Mathematics for Industry: Challenges and Frontiers, a conference sponsored by SIAM in October, 2003.