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Home  >  Volume 26 (March 2014)

12. Third derivative GLM for stiff problems by R. I. Okuonghae and M. N. Ikhile. Volume 26, (March, 2014), pp58 – 65.
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The need to have L-stablegeneral linear method (GLM) with higher order than Runge-Kutta methods has provided the need to propose second derivative GLM (SDGLM) and also multi-derivative GLM.This paper therefore describes somethird derivative general linear methods (TDGLM)which incorporates up to the third derivative terms.Themethodswhich are diagonallyimplicitareA( )-stable.

Keywords:Diagonally implicit Runge-Kutta methods; third derivative RK methods, GLM, A( )-stable.

AMS subject classification: 65L05, 65L06.