Space-Time Methods: Applications to Partial Differential Equations

This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.

• A collection of original survey articles on space-time discretization methods
• Presents the state of the art of the theory along with applications
• Of interest to applied mathematicians as well as to applied scientists and engineers