Modified Extended Lie-Group Method for Hessenberg Differential Algebraic Equations with Index-3 Article Swipe
Juan Tang
,
Jianguang Lu
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.3390/math11102360
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.3390/math11102360
Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play a critical role in the modeling of mechanical systems and multibody dynamics. Motivated by the widely used Lie-group differential algebraic equation (LGDAE) method, which handles index-2 systems, we first propose a modified extended Lie-group differential algebraic equation (MELGDAE) method for solving index-3 Hessenberg-DAEs and then provide a theoretical analysis to deepen the foundation of the MELGDAE method. Moreover, the performance of the MELGDAE method is compared with the standard methods RADAU and MEBDF on index-2 and -3 DAE systems, and it is demonstrated that the MELGDAE integrator exhibits a competitive performance in terms of high accuracy and the preservation of algebraic constraints. In particular, all differential variables in index-3 Hessenberg-DAEs achieve second-order convergence using the MELGDAE method, which suggests the potential for extension to Hessenberg-DAEs with an index of 4 or higher.
Related Topics
Concepts
Differential algebraic equation
Mathematics
Convergence (economics)
Algebraic number
Group (periodic table)
Lie group
Differential equation
Applied mathematics
Algebra over a field
Ordinary differential equation
Mathematical analysis
Pure mathematics
Economic growth
Chemistry
Organic chemistry
Economics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/math11102360
- https://www.mdpi.com/2227-7390/11/10/2360/pdf?version=1684420350
- OA Status
- gold
- Cited By
- 2
- References
- 26
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4377139517
All OpenAlex metadata
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https://doi.org/10.3390/math11102360Digital Object Identifier
- Title
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Modified Extended Lie-Group Method for Hessenberg Differential Algebraic Equations with Index-3Work title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-05-18Full publication date if available
- Authors
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Juan Tang, Jianguang LuList of authors in order
- Landing page
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https://doi.org/10.3390/math11102360Publisher landing page
- PDF URL
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https://www.mdpi.com/2227-7390/11/10/2360/pdf?version=1684420350Direct link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://www.mdpi.com/2227-7390/11/10/2360/pdf?version=1684420350Direct OA link when available
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Differential algebraic equation, Mathematics, Convergence (economics), Algebraic number, Group (periodic table), Lie group, Differential equation, Applied mathematics, Algebra over a field, Ordinary differential equation, Mathematical analysis, Pure mathematics, Economic growth, Chemistry, Organic chemistry, EconomicsTop concepts (fields/topics) attached by OpenAlex
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2Total citation count in OpenAlex
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| referenced_works | https://openalex.org/W2105427176, https://openalex.org/W2064362425, https://openalex.org/W2020215844, https://openalex.org/W2945928974, https://openalex.org/W1981853172, https://openalex.org/W2047180056, https://openalex.org/W2029290244, https://openalex.org/W2014010487, https://openalex.org/W1974841415, https://openalex.org/W1971566374, https://openalex.org/W2035381551, https://openalex.org/W2367745435, https://openalex.org/W1992108188, https://openalex.org/W1980123729, https://openalex.org/W2977246726, https://openalex.org/W6605246773, https://openalex.org/W1984168761, https://openalex.org/W2748217612, https://openalex.org/W2050462387, https://openalex.org/W2000994641, https://openalex.org/W2023308657, https://openalex.org/W2502308433, https://openalex.org/W4229706427, https://openalex.org/W2009645064, https://openalex.org/W1592421646, https://openalex.org/W129160944 |
| referenced_works_count | 26 |
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| abstract_inverted_index.Moreover, | 67 |
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| abstract_inverted_index.dynamics. | 21 |
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| corresponding_author_ids | https://openalex.org/A5037067067 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| corresponding_institution_ids | https://openalex.org/I178232147 |
| citation_normalized_percentile.value | 0.68624709 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |