IEEE Computer Volume 11 Number 2 -- REPOSITORY
Original Publication Date: 1978-Feb-01
Included in the Prior Art Database: 2005-Nov-10
Software Patent Institute
True Seaborn: AUTHOR [+3]
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R78~11 -- Fatunla, Simeon Ola, "Numerical Integrators for Stiff and Highly Oscillatory Differential Equations" (31 pp., Report No. UIUCDCS-R-77-894, University of Illinois, Urbana, Illinois)
Some L- stable fourth order explicit onestep numerical integration formulas which require no matrix inversion are proposed to cope effectively with systems of ordinary differential equations with large Lipschitz constants (including those having highly oscillatory solutions). The implicit integration procedure proposed in Fatunla is further developed to handle a larger class of stiff systems as well as those with highly oscillatory solutions. This same pair of nonlinear equations is solved for the stiffnessioscillatory parameters. However, the nonlinear systems are transformed into linear forms and an efficient computational procedure is developed to obtain these parameters. The new schemes compare favorably with the backward differentiation formula IDIFSUB) of Gear and the blended linear multistep methods of Skeel and Kong, and the symmetric multistep methods of Lambert and Watson.
R78~12 -- Lee, D. T. and C. K. Wong, "Voronoi Diagrams...