In this paper, G-orthogonality of Runge-Kutta methods applied to the initial value problems of G-orthogonal ordinary differential matrix equations is examined. A sufficient and necessary condition is given to make the...
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In this paper, G-orthogonality of Runge-Kutta methods applied to the initial value problems of G-orthogonal ordinary differential matrix equations is examined. A sufficient and necessary condition is given to make the methods preserve Gorthogonality possessed by the sloved problems. Several classes of linearly implicit Runge-Kutta methods with G-orthogonality are presented.
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