Multiscale and Adaptivity: Modeling, Numerics, and Applications (C.I.M.E. Summer School, Cetraro, Italy 2009)

This collection of lectures captures the essence of the C.I.M.E. Summer School held in Cetraro, Italy, focusing on the vital concept of multiscale modeling and adaptivity in mathematics. The contributors, all esteemed experts in their respective fields, delve into the intricate connections between theoretical frameworks and numerical methods. Their discussions reveal how these principles can be applied across various disciplines, emphasizing the role of mathematical modeling in solving complex real-world problems.

The text explores a range of topics, from recent advancements in computational techniques to the application of adaptive methods in different scientific contexts. By blending theory with practical applications, the authors provide readers with valuable insights into the challenges and strategies involved in multiscale processes. This work not only serves as a rich resource for advanced students and researchers alike but also reflects the vibrant collaboration and knowledge exchange that characterizes the scientific community engaged in this field.