An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems

An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems

The manifold boundary approximation method, MBAM is a new technique used in approximating systems of equations using parameter reduction. This method and other approximation methods are introduced and described. Several current issues in performing MBAM are discussed in further detail. These issues...

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Bibliographic Details
Main Author: Bjork, Dane Jordan
Format: Others
Published: BYU ScholarsArchive 2018
Subjects:
Approximation
Automation
Parameter Reduction
MBAM
Computer Sciences
Online Access:https://scholarsarchive.byu.edu/etd/6948
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7948&context=etd
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spelling ndltd-BGMYU2-oai-scholarsarchive.byu.edu-etd-79482021-09-12T05:01:29Z An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems Bjork, Dane Jordan The manifold boundary approximation method, MBAM is a new technique used in approximating systems of equations using parameter reduction. This method and other approximation methods are introduced and described. Several current issues in performing MBAM are discussed in further detail. These issues significantly slow down the process of MBAM and create a barrier of entry for those wishing to use the method without a strong background in mathematics. A solution is proposed to automatically reparameterize models and evaluate specific types of variables approaching limits -- significantly speeding up the process of MBAM. An implementation of the solution is discussed. 2018-07-01T07:00:00Z text application/pdf https://scholarsarchive.byu.edu/etd/6948 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7948&context=etd http://lib.byu.edu/about/copyright/ Theses and Dissertations BYU ScholarsArchive Approximation Automation Parameter Reduction MBAM Computer Sciences
collection NDLTD
format Others
sources NDLTD
topic Approximation
Automation
Parameter Reduction
MBAM
Computer Sciences
spellingShingle Approximation
Automation
Parameter Reduction
MBAM
Computer Sciences
Bjork, Dane Jordan
An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems
description The manifold boundary approximation method, MBAM is a new technique used in approximating systems of equations using parameter reduction. This method and other approximation methods are introduced and described. Several current issues in performing MBAM are discussed in further detail. These issues significantly slow down the process of MBAM and create a barrier of entry for those wishing to use the method without a strong background in mathematics. A solution is proposed to automatically reparameterize models and evaluate specific types of variables approaching limits -- significantly speeding up the process of MBAM. An implementation of the solution is discussed.
author Bjork, Dane Jordan
author_facet Bjork, Dane Jordan
author_sort Bjork, Dane Jordan
title An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems
title_short An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems
title_full An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems
title_fullStr An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems
title_full_unstemmed An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems
title_sort algorithm for symbolic computing of singular limits of dynamical systems
publisher BYU ScholarsArchive
publishDate 2018
url https://scholarsarchive.byu.edu/etd/6948
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7948&context=etd
work_keys_str_mv AT bjorkdanejordan analgorithmforsymboliccomputingofsingularlimitsofdynamicalsystems
AT bjorkdanejordan algorithmforsymboliccomputingofsingularlimitsofdynamicalsystems
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