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Diagonally Implicit Runge-Kutta-Nyström Methods for Oscillatory Problems

SIAM Journal on Numerical Analysis, Vol. 26, No. 2 (Apr., 1989), pp. 414-429 (16 pages) Implicit Runge-Kutta-Nyström (RKN) methods are constructed for the integration of second-order differential ...
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IMPLICIT RUNGE–KUTTA METHODS AND DISCONTINUOUS GALERKIN DISCRETIZATIONS FOR LINEAR ...

SIAM Journal on Numerical Analysis, Vol. 53, No. 1 (2015), pp. 485-507 (23 pages) In this paper we consider implicit Runge–Kutta methods for the time integration of ...