This volume surveys the cutting edge of applied and industrial mathematics, building upon a previous 1989 publication. It comprises key invited papers and conference contributions from prominent scientists, covering areas such as applied analysis, numerical mathematics, mathematical physics, and applied probability. The book is intended for researchers and advanced graduate students engaged in mathematical modeling, industrial mathematics, numerical computation, the mathematics of science, mathematical physics, and particularly partial differential equations.

The book serves as a comprehensive update to its predecessor, reflecting advancements in applied and industrial mathematics. Its collection of papers from leading scientists offers a broad overview of current research across several specialized fields. The content is structured to appeal to an academic audience, providing valuable insights for those involved in advanced mathematical modeling and theoretical applications. It is positioned as a resource for researchers and graduate students seeking to stay abreast of developments in mathematical physics, numerical methods, and applied analysis.