Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866929307724546048 |
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| author | Amodio, P. Brugnano, L. Frasca-Caccia, G. Iavernaro, F. |
| author_facet | Amodio, P. Brugnano, L. Frasca-Caccia, G. Iavernaro, F. |
| contents | In this paper, we define arbitrarily high-order energy-conserving methods for Hamiltonian systems with quadratic holonomic constraints. The derivation of the methods is made within the so-called line integral framework. Numerical tests to illustrate the theoretical findings are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_03275 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints Amodio, P. Brugnano, L. Frasca-Caccia, G. Iavernaro, F. Numerical Analysis 65P10, 65L80, 65L06 In this paper, we define arbitrarily high-order energy-conserving methods for Hamiltonian systems with quadratic holonomic constraints. The derivation of the methods is made within the so-called line integral framework. Numerical tests to illustrate the theoretical findings are presented. |
| title | Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints |
| topic | Numerical Analysis 65P10, 65L80, 65L06 |
| url | https://arxiv.org/abs/2203.03275 |