Main Page - Revision history

Saak at 15:05, 28 May 2025

2025-05-28T15:05:19Z

← Older revision		Revision as of 15:05, 28 May 2025
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	author = {{The MORwiki Community}},		author = {{The MORwiki Community}},
	title = {{MORwiki} - {M}odel {O}rder {R}eduction {W}iki},		title = {{MORwiki} - {M}odel {O}rder {R}eduction {W}iki},
	howpublished = {\url{~~http~~://modelreduction.org}},		howpublished = {\url{https://modelreduction.org}},
	key = {morwiki}		key = {morwiki}
	}		}

Saak: /* MORB: Model Order Reduction Benchmarker */

2023-11-21T16:48:08Z

MORB: Model Order Reduction Benchmarker

← Older revision		Revision as of 16:48, 21 November 2023
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	=== MORB: Model Order Reduction Benchmarker ===		=== MORB: Model Order Reduction Benchmarker ===
	A new benchmarking tool for model order reduction is currently under development. It is a demonstrator of the generic benchmark framework developed for Task Area 2 of the Mathematical Research Data Initiative ([https://www.mardi4nfdi.de/about/task-areas MaRDI] ~~and~~ will serve as an example of how to fairly compare different implementations of algorithms across a standardized benchmark set for scientific computing. Visit the [[MORB]] page for updates.		A new benchmarking tool for model order reduction is currently under development. It is a demonstrator of the generic benchmark framework developed for Task Area 2 of the Mathematical Research Data Initiative ([https://www.mardi4nfdi.de/about/task-areas MaRDI]). [[MORB]] will serve as an example of how to fairly compare different implementations of algorithms across a standardized benchmark set for scientific computing. Visit the [[MORB]] page for updates.

	=== Citations ===		=== Citations ===

Saak at 08:52, 24 August 2023

2023-08-24T08:52:15Z

← Older revision		Revision as of 08:52, 24 August 2023
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	==Introduction==		==Introduction==

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	<wikitwidget class="twitter-timeline" href="https://twitter.com/mor_wiki" data-widget-id="428887480843001856"/>		<wikitwidget class="twitter-timeline" href="https://twitter.com/mor_wiki" data-widget-id="428887480843001856"/>
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	The purpose of the '''M'''odel-'''O'''rder-'''R'''eduction-'''Wiki''' is to bring together experts in the area of model reduction along with researchers from related application areas, with the goal of providing a platform for exchanging ideas and benchmark examples.		The purpose of the '''M'''odel-'''O'''rder-'''R'''eduction-'''Wiki''' is to bring together experts in the area of model reduction along with researchers from related application areas, with the goal of providing a platform for exchanging ideas and benchmark examples.

Lund: /* How to use the MOR Wiki */ add link to glossary

2023-05-11T12:25:32Z

How to use the MOR Wiki: add link to glossary

← Older revision		Revision as of 12:25, 11 May 2023
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	Consult the [http://meta.wikimedia.org/wiki/Help:Contents User's Guide] for information on using Wiki software and the Wiki markup language we use here.		Consult the [http://meta.wikimedia.org/wiki/Help:Contents User's Guide] for information on using Wiki software and the Wiki markup language we use here.

			See the [[Glossary]] for definitions and abbreviations.

	Find [[MOR_Wiki:Current_events\|current model reduction conferences, workshops and minisymposia]], a [[Publications\|list of books and lectures on model reduction]] and [[MOR_Wiki:Community_portal\|links to the model reduction community]].		Find [[MOR_Wiki:Current_events\|current model reduction conferences, workshops and minisymposia]], a [[Publications\|list of books and lectures on model reduction]] and [[MOR_Wiki:Community_portal\|links to the model reduction community]].

Lund: remove space

2022-09-15T09:13:46Z

remove space

← Older revision		Revision as of 09:13, 15 September 2022
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	=== MORB: Model Order Reduction Benchmarker ===		=== MORB: Model Order Reduction Benchmarker ===
	A new benchmarking tool for model order reduction is currently under development. It is a demonstrator of the generic benchmark framework developed for Task Area 2 of the Mathematical Research Data Initiative ([https://www.mardi4nfdi.de/about/task-areas MaRDI] and will serve as an example of how to fairly compare different implementations of algorithms across a standardized benchmark set for scientific computing. Visit the [[MORB]] page for updates.		A new benchmarking tool for model order reduction is currently under development. It is a demonstrator of the generic benchmark framework developed for Task Area 2 of the Mathematical Research Data Initiative ([https://www.mardi4nfdi.de/about/task-areas MaRDI] and will serve as an example of how to fairly compare different implementations of algorithms across a standardized benchmark set for scientific computing. Visit the [[MORB]] page for updates.


	=== Citations ===		=== Citations ===

Lund: add MORB section and link, plus MaRDI link

2022-09-15T09:13:28Z

add MORB section and link, plus MaRDI link

← Older revision		Revision as of 09:13, 15 September 2022
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	Find [[MOR_Wiki:Current_events\|current model reduction conferences, workshops and minisymposia]], a [[Publications\|list of books and lectures on model reduction]] and [[MOR_Wiki:Community_portal\|links to the model reduction community]].		Find [[MOR_Wiki:Current_events\|current model reduction conferences, workshops and minisymposia]], a [[Publications\|list of books and lectures on model reduction]] and [[MOR_Wiki:Community_portal\|links to the model reduction community]].

			=== MORB: Model Order Reduction Benchmarker ===
			A new benchmarking tool for model order reduction is currently under development. It is a demonstrator of the generic benchmark framework developed for Task Area 2 of the Mathematical Research Data Initiative ([https://www.mardi4nfdi.de/about/task-areas MaRDI] and will serve as an example of how to fairly compare different implementations of algorithms across a standardized benchmark set for scientific computing. Visit the [[MORB]] page for updates.

Lund: tighten up language, update links, and feature citation

2022-09-06T12:04:57Z

tighten up language, update links, and feature citation

← Older revision		Revision as of 12:04, 6 September 2022
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	<~~big~~>'''Welcome to the MOR Wiki'''</~~big~~>		<Big>'''Welcome to the MOR Wiki'''</Big>

			==Introduction==

	<div class="thumb tright" style="width:302px;height:100vh">		<div class="thumb tright" style="width:302px;height:100vh">
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	</div>		</div>

	The purpose of the '''M'''odel-'''O'''rder-'''R'''eduction-'''Wiki''' is to bring together experts in the area of model reduction~~, as well as~~ researchers from application areas ~~in an attempt to provide~~ a platform for exchanging ideas and examples.		The purpose of the '''M'''odel-'''O'''rder-'''R'''eduction-'''Wiki''' is to bring together experts in the area of model reduction along with researchers from related application areas, with the goal of providing a platform for exchanging ideas and benchmark examples.

	Modeling and numerical simulation are unavoidable in many application and research areas~~, e.g.~~ reaction processes, micro-electro-mechanical systems ([[:Wikipedia:MEMS\|MEMS]]) design, and control design.		Modeling and numerical simulation are unavoidable in many application and research areas such as reaction processes, micro-electro-mechanical systems ([[:Wikipedia:MEMS\|MEMS]]) design, and control design.
	~~The~~ processes or devices can be modeled by partial differential equations ([[:Wikipedia:Partial_differential_equation\|PDEs]]).		Such processes or devices can be modeled by partial differential equations ([[:Wikipedia:Partial_differential_equation\|PDEs]]).
	To simulate ~~such~~ models, spatial discretization via ~~e.g.~~ finite element discretization is necessary, which results in a system of ordinary differential equations ([[:Wikipedia:Ordinary_differential_equation\|ODEs]]), or differential algebraic equations ([[:Wikipedia:Differential_algebraic_equation\|DAEs]]).		To simulate these models, spatial discretization via, for example, finite element discretization is necessary, which results in a system of ordinary differential equations ([[:Wikipedia:Ordinary_differential_equation\|ODEs]]), or differential algebraic equations ([[:Wikipedia:Differential_algebraic_equation\|DAEs]]).

	After spatial discretization, the number of degrees of freedom ([[:Wikipedia:Degrees_of_Freedom\|DoFs]]) is usually very high.		After spatial discretization, the number of degrees of freedom ([[:Wikipedia:Degrees_of_Freedom\|DoFs]]) is usually very high.
	~~It is therefore very time consuming to simulate~~ such large-scale systems of ODEs or DAEs.		Simulating such large-scale systems of ODEs or DAEs can therefore become incredibly time-consuming.
	Developed from well-established mathematical ~~theories~~ and robust numerical algorithms, Model Order Reduction (MOR) or Model Reduction ~~(see [[Projection based MOR]] for the basic idea)~~ has been recognized as very efficient for reducing the simulation time of large-scale systems.		Developed from well established mathematical theory and robust numerical algorithms, Model Order Reduction (MOR) or Model Reduction has been recognized as very efficient for reducing the simulation time of large-scale systems; see the page [[Projection based MOR]] for a basic overview.
	Through model order reduction, a small system with reduced number of equations (reduced model) is derived.		Through model order reduction, a small system with a reduced number of equations (i.e., the reduced model) is derived.
	The reduced model is simulated instead, and the solution of the original PDEs or ODEs can then be recovered from the solution of the reduced model.		The reduced model is simulated instead, and the solution of the original PDEs or ODEs can then be recovered from the solution of the reduced model.
	As a result, the simulation time of the original large-scale system can be shortened by several orders of magnitude.		As a result, the simulation time of the original large-scale system can be shortened by several orders of magnitude.
	The reduced model as a whole can also replace the original system and be reused repeatedly during the design process, which can further ~~save much~~ time.		The reduced model as a whole can also replace the original system and be reused repeatedly during the design process, which can lead to further time or energy savings.

	[[:Category:~~Parametric_method~~\|Parametric model order reduction (PMOR) methods]] are designed for model order reduction of parametrized systems, where the parameters of the system play an important role in practical applications such as Integrated Circuit (IC) design, MEMS design, and chemical engineering.		[[:Category:Parametric\|Parametric model order reduction (PMOR) methods]] are designed for model order reduction of parametrized systems, where the parameters of the system play an important role in practical applications such as [[:Wikipedia:Integrated circuit design\|Integrated Circuit (IC)]] design, [[:Wikipedia:MEMS\|MEMS]] design, and chemical engineering.
	The parameters could be the variables describing geometrical measurements, material properties, the damping of the system or the component flow-rate.		The parameters could be the variables describing geometrical measurements, material properties, the damping of the system or the component flow-rate.
	~~The reduced~~ models are constructed such that all the parameters can be preserved with acceptable accuracy.		Reduced models are constructed such that all the parameters can be preserved with acceptable accuracy.

	The MOR Wiki ~~is divided in~~ pages providing [[:Category:Benchmark\|benchmarks of parametric or non-parametric models]] and pages explaining applicable (P)MOR [[:Category:Method\|methods]] as well as available [[:Category:Software\|software implementations]].		=== How to use the MOR Wiki ===
			The MOR Wiki comprises pages providing [[:Category:Benchmark\|benchmarks of parametric or non-parametric models]] and pages explaining applicable (P)MOR [[:Category:Method\|methods]] as well as available [[:Category:Software\|software implementations]]. We ([[MOR Wiki:About\|the editors]]) are actively improving documentation at the moment, so check back often for updates!

	Following the [[~~submission~~ rules]], ~~one can~~ also submit new benchmarks, ~~method~~ or software pages.		Following the [[Submission rules]], it is also possible to submit new benchmarks, methods, or software packages, along with pages describing the contribution.

	Consult the [http://meta.wikimedia.org/wiki/Help:Contents User's Guide] for information on using Wiki software and the ~~utilized~~ Wiki markup language.		Consult the [http://meta.wikimedia.org/wiki/Help:Contents User's Guide] for information on using Wiki software and the Wiki markup language we use here.

	Find [[MOR_Wiki:Current_events\|current model reduction conferences, workshops and minisymposia]], a [[Publications\|list of books and lectures on model reduction]] and [[MOR_Wiki:Community_portal\|links to the model reduction community]].		Find [[MOR_Wiki:Current_events\|current model reduction conferences, workshops and minisymposia]], a [[Publications\|list of books and lectures on model reduction]] and [[MOR_Wiki:Community_portal\|links to the model reduction community]].

	~~A BibTeX file which contains a list of references related to model order reduction can be found and downloaded here: [[Bibtex\|mor.bib]].~~


			=== Citations ===
			To cite the MOR Wiki itself, please use the following

			The MORwiki Community. '''MORwiki - Model Order Reduction Wiki'''. http://modelreduction.org

			<nowiki>
			@misc{morwiki,
			author = {{The MORwiki Community}},
			title = {{MORwiki} - {M}odel {O}rder {R}eduction {W}iki},
			howpublished = {\url{http://modelreduction.org}},
			key = {morwiki}
			}
			</nowiki>

			A BibTeX file which contains a list of references related to model order reduction can be found and downloaded here: [[Bibtex\|mor.bib]].

	== List of all Categories in the Wiki ==		== List of all Categories in the Wiki ==

Saak at 12:53, 29 April 2021

2021-04-29T12:53:43Z

← Older revision		Revision as of 12:53, 29 April 2021
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	<big>'''Welcome to the MOR Wiki'''</big>		<big>'''Welcome to the MOR Wiki'''</big>

	<div class="thumb tright" style="width:302px;">		<div class="thumb tright" style="width:302px;height:100vh">
	<wikitwidget class="twitter-timeline" href="https://twitter.com/mor_wiki" data-widget-id="428887480843001856"/>		<wikitwidget class="twitter-timeline" href="https://twitter.com/mor_wiki" data-widget-id="428887480843001856"/>
	</div>		</div>

Saak at 13:47, 13 May 2019

2019-05-13T13:47:39Z

← Older revision		Revision as of 13:47, 13 May 2019
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	\|<categorytree mode=all>Benchmark</categorytree> \|\| <categorytree mode=all>Method</categorytree> \|\| <categorytree mode=all>Software</categorytree> \|\| <categorytree mode=all>Miscellaneous</categorytree>		\|<categorytree mode=all>Benchmark</categorytree> \|\| <categorytree mode=all>Method</categorytree> \|\| <categorytree mode=all>Software</categorytree> \|\| <categorytree mode=all>Miscellaneous</categorytree>
	\|}		\|}

	~~== List of all Pages Currently in the Wiki ==~~
	~~{{special:allpages}}~~

Himpe: /* List of all Categories in the Wiki */

2018-11-21T12:33:02Z

List of all Categories in the Wiki

← Older revision		Revision as of 12:33, 21 November 2018
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	{\|		{\|
	\|- valign="top"		\|- valign="top"
	\|<categorytree mode=all>Benchmark</categorytree> \|\| <categorytree mode=all>Method</categorytree> \|\| <categorytree mode=all>Software</categorytree>		\|<categorytree mode=all>Benchmark</categorytree> \|\| <categorytree mode=all>Method</categorytree> \|\| <categorytree mode=all>Software</categorytree> \|\| <categorytree mode=all>Miscellaneous</categorytree>
	\|}		\|}

	== List of all Pages Currently in the Wiki ==		== List of all Pages Currently in the Wiki ==
	{{special:allpages}}		{{special:allpages}}