document: New methods for oscillatory problems based on classical codes The numerical integration of differential equations with oscillatory solutions is a very common problem in many fields of the applied sciences . Some methods have been specially devised for this kind of problem . In most of them , the calculation of the coefficients needs more computational effort than the classical codes because such coefficients depend on the step-size in a not simple manner . On the contrary , in this work we present new algorithms specially designed for perturbed oscillators whose coefficients have a simple dependence on the step-size . The methods obtained are competitive when comparing with classical and special codes
doc_bio_tags: O O O B I O O B I O B I O B I O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: oscillatory problems classical codes numerical integration differential equations oscillatory solutions perturbed oscillators