Article ID Journal Published Year Pages File Type
9509852 Journal of Computational and Applied Mathematics 2005 12 Pages PDF
Abstract
We present BDF type formulas capable of the exact integration (with only round-off errors) of differential equations whose solutions are linear combinations of an exponential with parameter λ and ordinary polynomials. For λ=0 new formulas reduces to the classical BDF formulas. Plots of their 0-stability regions in terms of λ are provided. Plots of their regions absolute stability that include all the negative real axis are provided. Numerical examples shows the efficiency of the proposed codes, specially when we are integrating stiff oscillatory problems.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, , ,