000 04614nam a22007455i 4500
001 9788376560267
003 DE-B1597
005 20200803184626.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 190615s2013 pl fo d z eng d
020 _a9788376560267
024 7 _a10.2478/9788376560267
_2doi
035 _a(DE-B1597)212064
035 _a(OCoLC)1013953551
035 _a(OCoLC)900720206
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _apl
_cPL
050 4 _aQA274.23
_b.N4
072 7 _aMAT000000
_2bisacsh
072 7 _aMAT007000
_2bisacsh
072 7 _aMAT029000
_2bisacsh
072 7 _aMAT034000
_2bisacsh
082 0 4 _a519.23
_223
084 _aSK 520
_2rvk
100 1 _aNeckel, Tobias,
_eauthor.
245 1 0 _aRandom Differential Equations in Scientific Computing /
_cTobias Neckel, Florian Rupp.
264 1 _aWarsaw ;
_aBerlin :
_bDe Gruyter Open Poland,
_c[2013]
264 4 _c©2013
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 0 _tFrontmatter --
_tPreface --
_tAcknowledgments --
_tContents --
_tPart I Motivation and Decomposition of Multi-Storey Building Excitation Problems --
_tPart II The Path-Wise Deterministic Setting --
_tPart III Efficient Data Structures & the Propagation of Random Excitations --
_tPart IV Path-Wise Solutions of Random Differential Equations and Their Simulation --
_tPart V The Workshop Project --
_tIndex --
_tBibliography
506 0 _aOpen Access
_uhttps://purl.org/coar/access_right/c_abf2
_funrestricted online access
_2star
520 _aThis 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.
538 _aMode of access: Internet via World Wide Web.
540 _aThis eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license:
_uhttps://creativecommons.org/licenses/by-nc-nd/3.0
_uhttps://www.degruyter.com/dg/page/open-access-policy
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 15. Jun 2019)
650 0 _aEngineering
_xData processing.
650 0 _aMathematics.
650 0 _aScience
_xData processing.
650 0 _aStochastic differential equations
_xData processing.
650 4 _aRandom differential equations, dynamical systems, scientific computing.
650 7 _0(DE-601)104653515
_0(DE-588)4128130-5
_aNumerisches Verfahren
_2gnd
650 7 _0(DE-601)106150278
_0(DE-588)4057621-8
_aStochastische Differentialgleichung
_2gnd
650 7 _0(DE-601)106343920
_0(DE-588)4013396-5
_aDynamisches System
_2gnd
650 7 _0(DE-601)148589928
_0(DE-588)4335206-6
_aZufällige Differentialgleichung
_2gnd
650 7 _aMATHEMATICS / General.
_2bisacsh
700 1 _aRupp, Florian,
_eauthor.
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013
_z9783110317350
_oZDB-23-DGG
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013
_z9783110317282
_oZDB-23-DMI
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013
_z9783110317275
_oZDB-23-DMP
776 0 _cprint
_z9788376560250
856 4 0 _uhttps://doi.org/10.2478/9788376560267
_zOpen Access
856 4 2 _3Cover
_uhttps://www.degruyter.com/cover/covers/9788376560267.jpg
912 _aGBV-deGruyter-alles
912 _aZDB-23-DGG
_b2013
912 _aZDB-23-DMI
_b2013
912 _aZDB-23-DMP
_b2013
912 _aZDB-23-GOA
999 _c537273
_d537271