Browsing Saint Mary's Faculty Articles and Other Works by Subject "Runge-Kutta formulas"

Now showing items 1-3 of 3

Order barriers and characterizations for continuous mono-implicit Runge-Kutta schemes

Muir, Paul H.; Owren, Brynjulf (American Mathematical Society, 1993-10)

The mono-implicit Runge-Kutta (MIRK) schemes, a subset of the family of implicit Runge-Kutta (IRK) schemes, were originally proposed for the numerical solution of initial value ODEs more than fifteen years ago. During the ...
Order results for mono-implicit Runge-Kutta methods

Burrage, K.; Chipman, F. H.; Muir, Paul H. (Society for Industrial and Applied Mathematics, 1994-06)

The mono-implicit Runge-Kutta methods are a subclass of the well-known implicit Runge-Kutta methods and have application in the efficient numerical solution of systems of initial and boundary value ordinary differential ...
Superconvergant interpolants for the collocation solution of boundary value ordinary differential equations

Enright, W. H.; Muir, Paul H. (SIAM Publications, 1999)

A long-standing open question associated with the use of collocation methods for boundary value ordinary differential equations is concerned with the development of a high order continuous solution approximation to augment ...

Now showing items 1-3 of 3

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