A time reversible variable stepsize integrator for constrained dynamics:
Abstract: "This article considers the design and implementation of variable-timestep methods for simulating holonomically constrained mechanical systems. Symplectic variable stepsizes are briefly discussed, we then consider time-reparameterization techniques employing a time-reversible (symmetr...
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| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1997
|
| Series: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1997,53 |
| Subjects: | |
| Summary: | Abstract: "This article considers the design and implementation of variable-timestep methods for simulating holonomically constrained mechanical systems. Symplectic variable stepsizes are briefly discussed, we then consider time-reparameterization techniques employing a time-reversible (symmetric) integration method to solve the equations of motion. We give several numerical examples, including a simulation of an elastic (inextensible, unshearable) rod undergoing large deformations and collisions with the sides of a bounding box. Numerical experiments indicate that adaptive stepping can significantly smooth the numerical energy and improve the overall efficiency of the simulation." |
| Physical Description: | 20 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a A time reversible variable stepsize integrator for constrained dynamics |c Eric Barth ; Benedict Leimkuhler ; Sebastian Reich |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1997 | |
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| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1997,53 | |
| 520 | 3 | |a Abstract: "This article considers the design and implementation of variable-timestep methods for simulating holonomically constrained mechanical systems. Symplectic variable stepsizes are briefly discussed, we then consider time-reparameterization techniques employing a time-reversible (symmetric) integration method to solve the equations of motion. We give several numerical examples, including a simulation of an elastic (inextensible, unshearable) rod undergoing large deformations and collisions with the sides of a bounding box. Numerical experiments indicate that adaptive stepping can significantly smooth the numerical energy and improve the overall efficiency of the simulation." | |
| 650 | 4 | |a Constraints (Physics) | |
| 650 | 4 | |a Elasticity | |
| 650 | 4 | |a Hamiltonian systems | |
| 650 | 4 | |a Symplectic manifolds | |
| 700 | 1 | |a Leimkuhler, Benedict |e Verfasser |4 aut | |
| 700 | 1 | |a Reich, Sebastian |e Verfasser |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1997,53 |w (DE-604)BV004801715 |9 1997,53 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010360743 | |
Record in the Search Index
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| author | Barth, Eric Leimkuhler, Benedict Reich, Sebastian |
| author_facet | Barth, Eric Leimkuhler, Benedict Reich, Sebastian |
| author_role | aut aut aut |
| author_sort | Barth, Eric |
| author_variant | e b eb b l bl s r sr |
| building | Verbundindex |
| bvnumber | BV017189810 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)39980961 (DE-599)BVBBV017189810 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV017189810 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:08:10Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010360743 |
| oclc_num | 39980961 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 20 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Barth, Eric Verfasser aut A time reversible variable stepsize integrator for constrained dynamics Eric Barth ; Benedict Leimkuhler ; Sebastian Reich Berlin Konrad-Zuse-Zentrum für Informationstechnik 1997 20 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1997,53 Abstract: "This article considers the design and implementation of variable-timestep methods for simulating holonomically constrained mechanical systems. Symplectic variable stepsizes are briefly discussed, we then consider time-reparameterization techniques employing a time-reversible (symmetric) integration method to solve the equations of motion. We give several numerical examples, including a simulation of an elastic (inextensible, unshearable) rod undergoing large deformations and collisions with the sides of a bounding box. Numerical experiments indicate that adaptive stepping can significantly smooth the numerical energy and improve the overall efficiency of the simulation." Constraints (Physics) Elasticity Hamiltonian systems Symplectic manifolds Leimkuhler, Benedict Verfasser aut Reich, Sebastian Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1997,53 (DE-604)BV004801715 1997,53 |
| spellingShingle | Barth, Eric Leimkuhler, Benedict Reich, Sebastian A time reversible variable stepsize integrator for constrained dynamics Constraints (Physics) Elasticity Hamiltonian systems Symplectic manifolds |
| title | A time reversible variable stepsize integrator for constrained dynamics |
| title_auth | A time reversible variable stepsize integrator for constrained dynamics |
| title_exact_search | A time reversible variable stepsize integrator for constrained dynamics |
| title_full | A time reversible variable stepsize integrator for constrained dynamics Eric Barth ; Benedict Leimkuhler ; Sebastian Reich |
| title_fullStr | A time reversible variable stepsize integrator for constrained dynamics Eric Barth ; Benedict Leimkuhler ; Sebastian Reich |
| title_full_unstemmed | A time reversible variable stepsize integrator for constrained dynamics Eric Barth ; Benedict Leimkuhler ; Sebastian Reich |
| title_short | A time reversible variable stepsize integrator for constrained dynamics |
| title_sort | a time reversible variable stepsize integrator for constrained dynamics |
| topic | Constraints (Physics) Elasticity Hamiltonian systems Symplectic manifolds |
| topic_facet | Constraints (Physics) Elasticity Hamiltonian systems Symplectic manifolds |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT bartheric atimereversiblevariablestepsizeintegratorforconstraineddynamics AT leimkuhlerbenedict atimereversiblevariablestepsizeintegratorforconstraineddynamics AT reichsebastian atimereversiblevariablestepsizeintegratorforconstraineddynamics |