Applied Numerical Mathematics

This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators, Schrödinger, Dirac, and Kortweg-de Vries operators, Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more.

Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series.

This multi-author contributed proceedings volume contains recent advances in several areas of Computational and Applied Mathematics. Each review is written by well known leaders of Computational and Applied Mathematics.

During the last fifty years, the development of better numerical methods and more powerful computers has been a major enterprise for the scien- tific community. Today, problems of extreme complexity can be solved. However, for real life applications, the availability of reliable scientific soft- ware seems to be emerging as a limiting factor.

During the last fifty years, the development of better numerical methods and more powerful computers has been a major enterprise for the scien- tific community. Today, problems of extreme complexity can be solved. However, for real life applications, the availability of reliable scientific soft- ware seems to be emerging as a limiting factor.