The focus in this text is on mathematical modelling stimulated by contemporary industrial problems involving heat conduction and mass diffusion. These include continuous metal casting, laser drilling, spontaneous combustion of industrial waste, water filtration and crop irrigation. The industrial problems prove to be an excellent setting for the introduction and reinforcement of modelling skills, equation solving techniques, qualitative understanding of partial differential equations and their dynamical properties. Mathematical topics include setting up partial differential equations and...

The focus in this text is on mathematical modelling stimulated by contemporary industrial problems involving heat conduction and mass diffusion. These include continuous metal casting, laser drilling, spontaneous combustion of industrial waste, water filtration and crop irrigation. The industrial problems prove to be an excellent setting for the introduction and reinforcement of modelling skills, equation solving techniques, qualitative understanding of partial differential equations and their dynamical properties. Mathematical topics include setting up partial differential equations and...

Published by the American Geophysical Union as part of the Water Resources Monograph Series, Volume 15.

Here is your state-of-the-art guidebook through soil infiltration theory in response to hydrologic problems. By focusing on the theoretical basis of physically based infiltration functions and their application, Infiltration Theory for Hydrologic Applications presents an in-depth review of current issues and concerns. For scientists wishing concise and robust equations that can be applied in models for a variety of objectives.

This book is a collection of papers presented at the Forum "Applications + Practical Conceptualization + Mathematics = fruitful Innovation" in October 2014. This book illustrates various aspects of this two-way interaction between applications and the association highlighting how the practical conceptualization assists with the linking of the question that encapsulates the current application to the relevant mathematics. The contents of this book address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result...

This book collects the papers presented at the Kyushu University in Fukuoka in October 2015. On this occasion, the unifying theme was "The role and importance of mathematics in innovation." Innovation is in fact the cornerstone of creativity in all human endeavors. It involves "seeing" things from an entirely new, sometimes quite elementary, perspective. Innovation in mathematics is the bread and butter of mathematical creativity. Equally important is the innovation in the performance of mathematics which can be disarmingly simple but have profound consequences. The book illustrates two...