Article
A new stepsize change technique for Adams methods
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Abstract
In this paper a new technique for stepsize changing in the numerical solution of Initial Value Problems for ODEs by means of Adams type methods is considered. The computational cost of the new technique is equivalent to those of the well known interpolation technique (IT). It is seen that the new technique has better stability properties than the IT and moreover, its leading error term is smaller. These facts imply that the new technique can outperform the IT.
Keywords
stepsize change, linear multistep methods, 65107, CR517
Citation
Calvo, M., Montijano, J., & Rández, L. (2016). A new stepsize change technique for adams methods. Applied Mathematics and Nonlinear Sciences, 1(2), 547–558. https://doi.org/10.21042/AMNS.2016.2.00043
M. Calvo, J. Montijano and L. Rández, “A new stepsize change technique for adams methods,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, pp. 547–558, 2016, doi: 10.21042/AMNS.2016.2.00043.
Calvo M, Montijano J, Rández L. A new stepsize change technique for adams methods. Applied Mathematics and Nonlinear Sciences. 2016;1(2):547–558. doi:10.21042/AMNS.2016.2.00043.
Calvo, M., Montijano, J. and Rández, L. (2016), ‘A new stepsize change technique for adams methods’, Applied Mathematics and Nonlinear Sciences, 1(2), pp. 547–558. Available at: https://doi.org/10.21042/AMNS.2016.2.00043.
Calvo, M., et al. “A New Stepsize Change Technique for Adams Methods.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, 2016, pp. 547–558. https://doi.org/10.21042/AMNS.2016.2.00043.
Calvo, M., J.i. Montijano, and L. Rández. “A New Stepsize Change Technique for Adams Methods.” Applied Mathematics and Nonlinear Sciences 1, no. 2 (2016): 547–558. https://doi.org/10.21042/AMNS.2016.2.00043.
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Published by: Engineering Journals
