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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 ...
Mathematics of Computation, Vol. 59, No. 200 (Oct., 1992), pp. 403-420 (18 pages) We apply Runge-Kutta methods to linear partial differential equations of the form u t (x, t) = L (x, ∂)u(x, t) + f(x, ...
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