论文信息 - On error estimation in general linear methods for stiff ODEs

On error estimation in general linear methods for stiff ODEs

This paper studies the estimation of local truncation errors for a family of general linear methods with inherent Runge-Kutta stability. While integrating with a method of order p it is possible not only to estimate the truncation error of this method but also the truncation error of the method of order p+1 asymptotically correctly. Numerical results for a variable stepsize and variable order implementation for stiff ODEs are given.

Helmut Podhaisky | John C. Butcher | J. Butcher | H. Podhaisky

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