Random differential equations in scientific computing / / Tobias Neckel, Florian 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...
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| Superior document: | Versita Discipline: Mathematics |
|---|---|
| VerfasserIn: | |
| TeilnehmendeR: | |
| Place / Publishing House: | London, England : : Versita, Versita Limited,, 2013. ©2013 |
| Year of Publication: | 2013 |
| Language: | English |
| Series: | Versita discipline. Mathematics.
|
| Physical Description: | 1 online resource (650 pages) :; illustrations. |
| Notes: | Bibliographic Level Mode of Issuance: Monograph |
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| 100 | 1 | |a Neckel, Tobias, |e author. | |
| 245 | 1 | 0 | |a Random differential equations in scientific computing / |c Tobias Neckel, Florian Rupp. |
| 260 | |b De Gruyter |c 2013 | ||
| 264 | 1 | |a London, England : |b Versita, Versita Limited, |c 2013. | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (650 pages) : |b illustrations. | ||
| 336 | |a text |b txt | ||
| 337 | |a computer |b c | ||
| 338 | |a online resource |b cr | ||
| 490 | 1 | |a Versita Discipline: Mathematics | |
| 500 | |a Bibliographic Level Mode of Issuance: Monograph | ||
| 546 | |a English | ||
| 540 | |a This eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-Non Commercial-No Derivatives (CC BY-NC-ND) license: |u https://creativecommons.org/licenses/by-nc-nd/3.0 |u https://www.degruyter.com/dg/page/open-access-policy | ||
| 520 | |a 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. | ||
| 505 | 0 | 0 | |t Front matter -- |t Preface -- |t Acknowledgments -- |t Contents -- |t Part I Motivation and Decomposition of Multi-Storey Building Excitation Problems -- |t Part II The Path-Wise Deterministic Setting -- |t Part III Efficient Data Structures & the Propagation of Random Excitations -- |t Part IV Path-Wise Solutions of Random Differential Equations and Their Simulation -- |t Part V The Workshop Project -- |t Index -- |t Bibliography |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | |a Description based on online resource; title from PDF title page (ebrary, viewed May 26, 2015). | ||
| 650 | 0 | |a Differential equations. | |
| 653 | |a Random differential equations, dynamical systems, scientific computing. | ||
| 700 | 1 | |a Rupp, Florian, |e author. | |
| 776 | |z 83-7656-025-5 | ||
| 776 | |z 83-7656-026-3 | ||
| 830 | 0 | |a Versita discipline. |p Mathematics. | |
| 906 | |a BOOK | ||
| ADM | |b 2023-02-22 20:51:13 Europe/Vienna |f system |c marc21 |a 2014-03-08 22:52:07 Europe/Vienna |g false | ||
| AVE | |P DOAB Directory of Open Access Books |x https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5338397300004498&Force_direct=true |Z 5338397300004498 |8 5338397300004498 | ||