Sensitivity generation in an adaptive BDF-method
In this article we describe state-of-the-art approaches to calculate solutions and sensitivities for initial value problems (IVP) of semi-explicit systems of differential-algebraic equations of index one. We start with a description of the techniques we use to solve the systems efficiently with an a...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Kapitel/Artikel Konferenzschrift |
| Sprache: | Englisch |
| Veröffentlicht: |
2008
|
| In: |
Modeling, simulation and optimization of complex processes
Year: 2008, Pages: 15-24 |
| DOI: | 10.1007/978-3-540-79409-7_2 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.1007/978-3-540-79409-7_2 Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-540-79409-7_2 
|
| Verfasserangaben: | Jan Albersmeyer and Hans Georg Bock |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1580153887 | ||
| 003 | DE-627 | ||
| 005 | 20220814223618.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180817s2008 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/978-3-540-79409-7_2 |2 doi | |
| 035 | |a (DE-627)1580153887 | ||
| 035 | |a (DE-576)510153887 | ||
| 035 | |a (DE-599)BSZ510153887 | ||
| 035 | |a (OCoLC)1341017165 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Albersmeyer, Jan |e VerfasserIn |0 (DE-588)144033429 |0 (DE-627)65682154X |0 (DE-576)340448830 |4 aut | |
| 245 | 1 | 0 | |a Sensitivity generation in an adaptive BDF-method |c Jan Albersmeyer and Hans Georg Bock |
| 264 | 1 | |c 2008 | |
| 300 | |a 10 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 17.08.2018 | ||
| 520 | |a In this article we describe state-of-the-art approaches to calculate solutions and sensitivities for initial value problems (IVP) of semi-explicit systems of differential-algebraic equations of index one. We start with a description of the techniques we use to solve the systems efficiently with an adaptive BDF-method. Afterwards we focus on the computation of sensitivities using the principle of Internal Numerical Differentiation (IND) invented by Bock [4]. We present a newly implemented reverse mode of IND to generate sensitivity information in an adjoint way. At the end we show a numerical comparison for the old and new approaches for sensitivity generation using the software package DAESOL-II [1], in which both approaches are implemented. | ||
| 700 | 1 | |a Bock, Hans Georg |d 1948- |e VerfasserIn |0 (DE-588)1025289927 |0 (DE-627)721988717 |0 (DE-576)370169255 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Modeling, simulation and optimization of complex processes |d Berlin, Heidelberg : Springer Berlin Heidelberg, 2008 |g (2008), Seite 15-24 |h Online-Ressource (677 Seiten) |w (DE-627)1647232376 |w (DE-576)285790536 |z 9783540794097 |7 nnam |a Sensitivity generation in an adaptive BDF-method |
| 773 | 1 | 8 | |g year:2008 |g pages:15-24 |g extent:10 |a Sensitivity generation in an adaptive BDF-method |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-540-79409-7_2 |x Resolving-System |x Verlag |3 Volltext |
| 856 | 4 | 0 | |u https://link.springer.com/chapter/10.1007/978-3-540-79409-7_2 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180817 | ||
| 993 | |a ConferencePaper | ||
| 994 | |a 2008 | ||
| 998 | |g 1025289927 |a Bock, Hans Georg |m 1025289927:Bock, Hans Georg |d 700000 |d 708000 |e 700000PB1025289927 |e 708000PB1025289927 |k 0/700000/ |k 1/700000/708000/ |p 2 |y j | ||
| 998 | |g 144033429 |a Albersmeyer, Jan |m 144033429:Albersmeyer, Jan |d 700000 |d 708000 |e 700000PA144033429 |e 708000PA144033429 |k 0/700000/ |k 1/700000/708000/ |p 1 |x j | ||
| 999 | |a KXP-PPN1580153887 |e 3022538804 | ||
| BIB | |a Y | ||
| JSO | |a {"language":["eng"],"recId":"1580153887","type":{"media":"Online-Ressource","bibl":"chapter"},"note":["Gesehen am 17.08.2018"],"title":[{"title":"Sensitivity generation in an adaptive BDF-method","title_sort":"Sensitivity generation in an adaptive BDF-method"}],"person":[{"roleDisplay":"VerfasserIn","display":"Albersmeyer, Jan","role":"aut","family":"Albersmeyer","given":"Jan"},{"role":"aut","display":"Bock, Hans Georg","roleDisplay":"VerfasserIn","given":"Hans Georg","family":"Bock"}],"relHost":[{"physDesc":[{"extent":"Online-Ressource (677 Seiten)"}],"origin":[{"dateIssuedKey":"2008","publisher":"Springer Berlin Heidelberg","dateIssuedDisp":"2008","publisherPlace":"Berlin, Heidelberg"}],"id":{"isbn":["9783540794097"],"doi":["10.1007/978-3-540-79409-7"],"eki":["1647232376"]},"name":{"displayForm":["edited by Hans Georg Bock, Ekaterina Kostina, Hoang Xuan Phu, Rolf Rannacher"]},"part":{"text":"(2008), Seite 15-24","extent":"10","year":"2008","pages":"15-24"},"disp":"Sensitivity generation in an adaptive BDF-methodModeling, simulation and optimization of complex processes","type":{"bibl":"edited-book","media":"Online-Ressource"},"language":["eng"],"recId":"1647232376","title":[{"title_sort":"Modeling, simulation and optimization of complex processes","title":"Modeling, simulation and optimization of complex processes","subtitle":"proceedings of the Third International Conference on High Performance Scientific Computing, March 6–10, 2006, Hanoi, Vietnam"}],"person":[{"given":"Hans Georg","family":"Bock","role":"edt","display":"Bock, Hans Georg","roleDisplay":"HerausgeberIn"},{"display":"Kostina, Ekaterina","roleDisplay":"HerausgeberIn","role":"edt","family":"Kostina","given":"Ekaterina"},{"given":"Rolf","family":"Rannacher","role":"edt","display":"Rannacher, Rolf","roleDisplay":"HerausgeberIn"}]}],"physDesc":[{"extent":"10 S."}],"id":{"eki":["1580153887"],"doi":["10.1007/978-3-540-79409-7_2"]},"origin":[{"dateIssuedKey":"2008","dateIssuedDisp":"2008"}],"name":{"displayForm":["Jan Albersmeyer and Hans Georg Bock"]}} | ||
| SRT | |a ALBERSMEYESENSITIVIT2008 | ||