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Random Differential Equations in Scientific Computing / Tobias Neckel, Florian Rupp.

By: Contributor(s): Material type: TextTextLanguage: English Publisher: Warsaw ; Berlin : De Gruyter Open Poland, [2013]Copyright date: ©2013Description: 1 online resource (650 p.)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9788376560267
Subject(s): Additional physical formats: No titleOnline resources:
Contents:
Frontmatter -- Preface -- Acknowledgments -- Contents -- Part I Motivation and Decomposition of Multi-Storey Building Excitation Problems -- Part II The Path-Wise Deterministic Setting -- Part III Efficient Data Structures & the Propagation of Random Excitations -- Part IV Path-Wise Solutions of Random Differential Equations and Their Simulation -- Part V The Workshop Project -- Index -- Bibliography
Summary: 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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Frontmatter -- Preface -- Acknowledgments -- Contents -- Part I Motivation and Decomposition of Multi-Storey Building Excitation Problems -- Part II The Path-Wise Deterministic Setting -- Part III Efficient Data Structures & the Propagation of Random Excitations -- Part IV Path-Wise Solutions of Random Differential Equations and Their Simulation -- Part V The Workshop Project -- Index -- Bibliography

Open Access unrestricted online access star

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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.

Mode of access: Internet via World Wide Web.

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https://www.degruyter.com/dg/page/open-access-policy

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Feb 2021)

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