Random Differential Equations in Scientific Computing von Tobias Neckel | ISBN 9788376560250

Random Differential Equations in Scientific Computing

von Tobias Neckel und Florian Rupp
Mitwirkende
Autor / AutorinTobias Neckel
Autor / AutorinFlorian Rupp
Buchcover Random Differential Equations in Scientific Computing | Tobias Neckel | EAN 9788376560250 | ISBN 83-7656-025-5 | ISBN 978-83-7656-025-0

Random Differential Equations in Scientific Computing

von Tobias Neckel und Florian Rupp
Mitwirkende
Autor / AutorinTobias Neckel
Autor / AutorinFlorian Rupp

This book is a holistic and self-contained treatment of the analysis and numerics of random differential equations from a problem-centred point of view. An interdisciplinary approach is applied by considering
state-of-the-art concepts of both dynamical systems and scientific computing.

The red line pervading this book is the two-fold reduction of a random partial differential equation disturbed by some external force as present in many important applications in science and engineering. First, the random partial differential equation is reduced to a set of random ordinary differential equations in the spirit of the method of lines. These are then further reduced to a family of (deterministic) ordinary
differential equations.

The monograph will be of benefit, not only to mathematicians, but can also be used for interdisciplinary courses in informatics and engineering.