This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. The range of topics covers theoretical analysis of the methods, as well as their algorithmic formulation and guidelines for practical implementation. Selected examples show that the discussed approaches are mandatory for the solution of challenging practical problems. The practicability and efficiency of the presented methods is illustrated by several case studies from fluid dynamics, data compression, image processing and computational biology, giving rise to possible new research topics. This volume, resulting from the workshop Multiple Shooting and Time Domain Decomposition Methods, held in Heidelberg in May 2013, will be of great interest to applied mathematicians, computer scientists and all scientists using mathematical methods.

This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. The range of topics covers theoretical analysis of the methods, as well as their algorithmic formulation and guidelines for practical implementation. Selected examples show that the discussed approaches are mandatory for the solution of challenging practical problems. The practicability and efficiency of the presented methods is illustrated by several case studies from fluid dynamics, data compression, image processing and computational biology, giving rise to possible new research topics. This volume, resulting from the workshop Multiple Shooting and Time Domain Decomposition Methods, held in Heidelberg in May 2013, will be of great interest to applied mathematicians, computer scientists and all scientists using mathematical methods.

Gallienus herrschte auf dem Gipfel der "Krise des 3. Jahrhunderts". Eine Gesamtdarstellung aller Aspekte seiner Herrschaft stellt ein Desiderat der Forschung dar. Der Autor versucht dies unter Auswertung v. a. literarischer, numismatischer und epigraphischer Quellen. Zu umstrittenen chronologischen Fragen wird Stellung genommen. Unter Gallienus kam es zu wichtigen Weichenstellungen im militarisch-administrativen Bereich sowie auf dem Gebiet der Herrschaftsdarstellung. Dieser Kaiser liess viele originelle Munztypen pragen und glich sich dabei verschiedenen Gottheiten an. Das Christentum erfuhr unter Gallienus erstmals offizielle Anerkennung. Somit hatte Gallienus an einem wichtigen Punkt der Roemischen Geschichte eine Verbindungsfunktion inne.