De Gruyter Sivumäärä: 650 sivua Asu: Kovakantinen kirja Julkaisuvuosi: 2013, 18.12.2013 (lisätietoa) Kieli: Englanti
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.