This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms.

One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications.

The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.

This volume grew out from the 4th MSJ-SI international conference 'NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS' held at Kyushu University, Kyushu, Japan, September 12th - 21st, 2011. It consists of more than fifty peer-reviewed articles which are survey and research papers by participants of the conference. Nonlinear partial differential equations describing nonlinear dynamics are indispensable objects in many fields including technology and social science. This book covers recent mathematical theories and techniques to analyze such nonlinear partial differential equations. The book is recommended to any researcher or graduate student who is interested in them.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America