Note on filon-type integration for higher order exponential time differencing methods in stiff systems
Shu-huang Xiang
Journal of Central South University ›› 2005, Vol. 12 ›› Issue (Suppl 1) : 298 -303.
Note on filon-type integration for higher order exponential time differencing methods in stiff systems
The Filon-type quadrature is efficient for highly oscillatory functions — Fourier transforms. Based on Cox and Matthews’ ETD schemes, the higher order single step exponential time differencing schemes are presented based on the Filon-type integration and the A-stability of the two-order Adams-Bashforth exponential time differencing scheme is considered. The effectiveness and accuracy of the schemes is tested.
exponential time differencing method / stiff system / Filon method / Runge-Kutta method
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