@Article{         Murua_1998aa,
  abstract      = { The numerical integration of non-stiff second order ODE systems by means of Runge-Kutta-Nyström methods is considered. It is assumed that the right-hand side of the system does depend on but a considerable amount of intermediate calculations needed to evaluate only depend on q and t. Such systems often arise in practice, in particular, in multi-body system simulation. We construct three particular Runge-Kutta-Nyström methods for general second order ODEs, two methods of order five, and one of order six. Numerical comparisons are presented, which show that Runge-Kutta-Nyström schemes can be constructed that are more efficient than explicit Runge-Kutta methods when applied to non-stiff multi-body systems.},
  author        = {Murua, Ander},
  doi           = {10.1016/S0168-9274(98)00055-5},
  file          = {Murua_1998aa.pdf},
  issn          = {0168-9274},
  journal       = {Applied Numerical Mathematics},
  keywords      = {ode,second-order},
  langid        = {english},
  number        = {2},
  pages         = {387--399},
  title         = {{Runge}-{Kutta}-{Nyström} methods for general second order {ODE}s with application to multi-body systems},
  volume        = {28},
  year          = {1998},
  shortjournal  = {APNUM}
}

{"_id":"qgDqK8PQEvZLbRAWb","bibbaseid":"murua-rungekuttanystrmmethodsforgeneralsecondorderodeswithapplicationtomultibodysystems-1998","authorIDs":[],"author_short":["Murua, A."],"bibdata":{"bibtype":"article","type":"article","abstract":"The numerical integration of non-stiff second order ODE systems by means of Runge-Kutta-Nyström methods is considered. It is assumed that the right-hand side of the system does depend on but a considerable amount of intermediate calculations needed to evaluate only depend on q and t. Such systems often arise in practice, in particular, in multi-body system simulation. We construct three particular Runge-Kutta-Nyström methods for general second order ODEs, two methods of order five, and one of order six. Numerical comparisons are presented, which show that Runge-Kutta-Nyström schemes can be constructed that are more efficient than explicit Runge-Kutta methods when applied to non-stiff multi-body systems.","author":[{"propositions":[],"lastnames":["Murua"],"firstnames":["Ander"],"suffixes":[]}],"doi":"10.1016/S0168-9274(98)00055-5","file":"Murua_1998aa.pdf","issn":"0168-9274","journal":"Applied Numerical Mathematics","keywords":"ode,second-order","langid":"english","number":"2","pages":"387–399","title":"Runge-Kutta-Nyström methods for general second order ODEs with application to multi-body systems","volume":"28","year":"1998","shortjournal":"APNUM","bibtex":"@Article{ Murua_1998aa,\n abstract = { The numerical integration of non-stiff second order ODE systems by means of Runge-Kutta-Nyström methods is considered. It is assumed that the right-hand side of the system does depend on but a considerable amount of intermediate calculations needed to evaluate only depend on q and t. Such systems often arise in practice, in particular, in multi-body system simulation. We construct three particular Runge-Kutta-Nyström methods for general second order ODEs, two methods of order five, and one of order six. Numerical comparisons are presented, which show that Runge-Kutta-Nyström schemes can be constructed that are more efficient than explicit Runge-Kutta methods when applied to non-stiff multi-body systems.},\n author = {Murua, Ander},\n doi = {10.1016/S0168-9274(98)00055-5},\n file = {Murua_1998aa.pdf},\n issn = {0168-9274},\n journal = {Applied Numerical Mathematics},\n keywords = {ode,second-order},\n langid = {english},\n number = {2},\n pages = {387--399},\n title = {{Runge}-{Kutta}-{Nyström} methods for general second order {ODE}s with application to multi-body systems},\n volume = {28},\n year = {1998},\n shortjournal = {APNUM}\n}\n\n","author_short":["Murua, A."],"key":"Murua_1998aa","id":"Murua_1998aa","bibbaseid":"murua-rungekuttanystrmmethodsforgeneralsecondorderodeswithapplicationtomultibodysystems-1998","role":"author","urls":{},"keyword":["ode","second-order"],"downloads":0,"html":""},"bibtype":"article","biburl":"http://dl.schoeps.org/database.bib","creationDate":"2019-12-26T16:51:17.714Z","downloads":0,"keywords":["ode","second-order"],"search_terms":["runge","kutta","nystr","methods","general","second","order","odes","application","multi","body","systems","murua"],"title":"Runge-Kutta-Nyström methods for general second order ODEs with application to multi-body systems","year":1998,"dataSources":["P4aBgbzF45TWvxzbZ"]}