An Efficient Integrator that Uses Gauss-Radau Spacings View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1985

AUTHORS

Edgar Everhart

ABSTRACT

This describes our integrator RADAU, which has been used by several groups in the U.S.A., in Italy, and in the U.S.S.R, over the past 10 years in the numerical integration of orbits and other problems involving numerical solution of systems of ordinary differential equations. First- and second-order equations are solved directly, including the general second-order case. A self-starting integrator, RADAU proceeds by sequences within which the substeps are taken at Gauss-Radau spacings. This allows rather high orders of accuracy with relatively few function evaluations. After the first sequence the information from previous sequences is used to improve the accuracy. The integrator itself chooses the next sequence size. When a 64-bit double word is available in double precision, a 15th-order version is often appropriate, and the FORTRAN code for this case is included here. RADAU is at least comparable with the best of other integrators in speed and accuracy, and it is often superior, particularly at high accuracies. More... »

PAGES

185-202

Book

TITLE

Dynamics of Comets: Their Origin and Evolution

ISBN

978-94-010-8884-8
978-94-009-5400-7

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-94-009-5400-7_17

DOI

http://dx.doi.org/10.1007/978-94-009-5400-7_17

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1053543195


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