INVESTIGADORES
FERRARO Sebastian Jose
artículos
Título:
A nonholonomic Newmark method
Autor/es:
ANAHORY SIMOES, ALEXANDRE; FERRARO, SEBASTIÁN J.; MARRERO, JUAN CARLOS; MARTÍN DE DIEGO, DAVID
Revista:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 2023 vol. 421
ISSN:
0377-0427
Resumen:
Using the nonholonomic exponential map, we obtain a new version of Newmark-type methods for nonholonomic systems (see also Jay and Negrut(2009) for a different extension). We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy behaviour as described in Modin and Verdier (2020) is lost. We observe that the composition of two Newmark methods is able to produce good energy behaviour on this test problem.