Browsing Articles by Subject "Differential equations"

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On Selberg’s beta integrals

Kabe, D. G.; Gupta, A. K. (De Gruyter, 2005)

Askey and Richards (1989) evaluate Selberg’s first and second beta integrals using Aomoto’s (1987) formidable methodology of setting and solving a first order difference equation. Using this methodology they evaluate certain ...
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 ...

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