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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Place / Publishing House: | London, England : : Versita, Versita Limited,, 2013. ©2013 |
Year of Publication: | 2013 |
Edition: | 1st ed. |
Language: | English |
Series: | Versita discipline. Mathematics.
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Physical Description: | 1 online resource (650 pages) :; illustrations. |
Notes: | Bibliographic Level Mode of Issuance: Monograph |
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Neckel, Tobias, author. Random differential equations in scientific computing / Tobias Neckel, Florian Rupp. 1st ed. De Gruyter 2013 London, England : Versita, Versita Limited, 2013. ©2013 1 online resource (650 pages) : illustrations. text txt computer c online resource cr Versita Discipline: Mathematics Bibliographic Level Mode of Issuance: Monograph English 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: https://creativecommons.org/licenses/by-nc-nd/3.0 https://www.degruyter.com/dg/page/open-access-policy 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. Front matter -- 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 Includes bibliographical references and index. Description based on online resource; title from PDF title page (ebrary, viewed May 26, 2015). Differential equations. Random differential equations, dynamical systems, scientific computing. Rupp, Florian, author. 83-7656-025-5 83-7656-026-3 Versita discipline. Mathematics. |
language |
English |
format |
eBook |
author |
Neckel, Tobias, Rupp, Florian, |
spellingShingle |
Neckel, Tobias, Rupp, Florian, Random differential equations in scientific computing / Versita Discipline: Mathematics Front matter -- 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 |
author_facet |
Neckel, Tobias, Rupp, Florian, Rupp, Florian, |
author_variant |
t n tn f r fr |
author_role |
VerfasserIn VerfasserIn |
author2 |
Rupp, Florian, |
author2_role |
TeilnehmendeR |
author_sort |
Neckel, Tobias, |
title |
Random differential equations in scientific computing / |
title_full |
Random differential equations in scientific computing / Tobias Neckel, Florian Rupp. |
title_fullStr |
Random differential equations in scientific computing / Tobias Neckel, Florian Rupp. |
title_full_unstemmed |
Random differential equations in scientific computing / Tobias Neckel, Florian Rupp. |
title_auth |
Random differential equations in scientific computing / |
title_alt |
Front matter -- 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 |
title_new |
Random differential equations in scientific computing / |
title_sort |
random differential equations in scientific computing / |
series |
Versita Discipline: Mathematics |
series2 |
Versita Discipline: Mathematics |
publisher |
De Gruyter Versita, Versita Limited, |
publishDate |
2013 |
physical |
1 online resource (650 pages) : illustrations. |
edition |
1st ed. |
contents |
Front matter -- 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 |
isbn |
83-7656-025-5 83-7656-026-3 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA371 |
callnumber-sort |
QA 3371 N43 42013 |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.35 |
dewey-sort |
3515.35 |
dewey-raw |
515.35 |
dewey-search |
515.35 |
oclc_num |
1013953551 900720206 939262610 |
work_keys_str_mv |
AT neckeltobias randomdifferentialequationsinscientificcomputing AT ruppflorian randomdifferentialequationsinscientificcomputing |
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