Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

A collocation solver for mixed order systems of boundary value problems


Authors: U. Ascher, J. Christiansen and R. D. Russell
Journal: Math. Comp. 33 (1979), 659-679
MSC: Primary 65L10
DOI: https://doi.org/10.1090/S0025-5718-1979-0521281-7
MathSciNet review: 521281
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Implementation of a spline collocation method for solving boundary value problems for mixed order systems of ordinary differential equations is discussed.

The aspects of this method considered include error estimation, adaptive mesh selection, B-spline basis function evaluation, linear system solution and nonlinear problem solution.

The resulting general purpose code, COLSYS, is tested on a number of examples to demonstrate its stability, efficiency and flexibility.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65L10

Retrieve articles in all journals with MSC: 65L10


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1979-0521281-7
Article copyright: © Copyright 1979 American Mathematical Society

American Mathematical Society