A collocation solver for mixed order systems of boundary value problems

1979/01/01 by Uri M. Ascher, U. Ascher, J. Christiansen +2 · 6 citations
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Iterative Methods for Nonlinear Equations #Numerical methods for differential equations

paper · pdf · doi:10.1090/s0025-5718-1979-0521281-7

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, <italic>B</italic> -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.

Citations

• On calculating with B-splines

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