Random Differential Equations in Scientific Computing

By: Tobias Neckel, Florian Rupp

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Hardcover | 18 December 2013

At a Glance

Hardcover
652 Pages

Age
22+

Dimensions(cm)
25.4 x 18.42 x 5.08

Hardcover

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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.

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