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To work with mathematical problems that either don't have analytical answers or are too complicated to be solved through normal methods, numerical methods are essential. These methods involve ...

SIAM Journal on Numerical Analysis, Vol. 34, No. 1 (Feb., 1997), pp. 22-47 (26 pages) We suggest a general method for the construction of highly continuous interpolants for one-step methods applied to ...

Abstract: The Runge-Kutta Discontinuous Galerkin (RKDG) finite element method has the several advantages. First, the method is better suited than finite difference methods to handle complicated ...

ABSTRACT: This paper is describing in detail the way we define the equations which give the formulas in the methods Runge-Kutta 6th order 7 stages with the incorporated control step size in the ...