Random Differential Equations in Scientific Computing

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  • Random Differential Equations in Scientific Computing Book Detail

  • Author : Tobias Neckel
  • Release Date : 2013-12-17
  • Publisher : Walter de Gruyter
  • Genre : Mathematics
  • Pages : 650
  • ISBN 13 : 8376560263
  • File Size : 90,90 MB

Random Differential Equations in Scientific Computing by Tobias Neckel PDF Summary

Book Description: 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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Scientific Computing with Case Studies

Scientific Computing with Case Studies

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This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue proble