Real Time Computing with the Parareal Algorithm: Solving time-dependent differential equations with increased speed - Softcover

Harden, Christopher

Softcover

ISBN 10: 3639130855 ISBN 13: 9783639130850

Publisher: VDM Verlag Dr. Müller, 2009

Synopsis

This work presents and evaluates a particular algorithm used for the real time computations of time dependent ordinary and partial differential equations which employs a parallelization strategy over the temporal domain. We also discuss the coupling of this method with another popular technique used for real time computations, model reduction, which will be shown to provide more gains than either method alone. In particular, we look at reduced order modeling based on proper orthogonal decompositions. We present some applications in terms of solving time dependent nonlinear partial differential equations and solving these equations with a coupled approach of combining model reduction and the parareal algorithm . The performance of this method, both numerically and computationally, is discussed in terms of the gains in speedup and efficiency, and in terms of the scalability of the parallelization of the temporal domain on a larger and larger set of compute nodes or processors.

About this title

About the Author

Christopher R. Harden was born 12-21-1976, in Jacksonville, Fl. In 2005, he completed a Bachelors degree in Philosophy and a Bachelors degree in Mathematics at UNF. In 2008, he obtained a Masters degree in Computational Science at FSU. Chris is now finishing his Ph.D in Computational Science under Prof. T. Plewa at FSU.

Edition details

• Publisher: VDM Verlag Dr. Müller
• Publication date: 2009
• ISBN 10: 3639130855
• ISBN 13: 9783639130850
• Binding: Paperback
• Language: English
• Number of pages: 92