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- W1966001878 abstract "A class of second derivative extended backward differentiation formulas suitable for the approximate numerical integration of stiff systems of first-order ordinary differential equations is examined. The main reason for considering second derivative formulas is to derive a set of methods which are very highly stable and are suitable for the integration of stiff differential systems whose Jacobians have some large eigenvalues lying close to the imaginary axis. By adopting the approach described in the present paper, it is possible to derive L-stable schemes with orders up to and including 8 and a 9th order $A(alpha )$-stable scheme with $alpha > 89^ circ $. Preliminary numerical results indicate that this approach compares favorably with certain existing methods." @default.
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- W1966001878 date "1981-02-01" @default.
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- W1966001878 title "Second Derivative Extended Backward Differentiation Formulas for the Numerical Integration of Stiff Systems" @default.
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- W1966001878 doi "https://doi.org/10.1137/0718003" @default.
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