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Mathematics of Computation

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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
MathSciNet review: 521281
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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.

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Article copyright: © Copyright 1979 American Mathematical Society