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Mathematics of Computation

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Some new multistep methods for solving ordinary differential equations

Authors: G. K. Gupta and C. S. Wallace
Journal: Math. Comp. 29 (1975), 489-500
MSC: Primary 65L05
MathSciNet review: 0373290
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Abstract: Three sets of linear multistep formulae for solving stiff and nonstiff ordinary differential equations are presented. Two of the sets are based on Adams-Moulton and stiff formulae used by Gear [1969]. A third set of formulae based on least-squares approximation is shown to be stiffly-stable up to order 8 and is suitable for solving stiff differential equations.

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Keywords: Linear multistep methods, stiff differential equations, predictor-corrector methods, numerical solution of ordinary differential equations
Article copyright: © Copyright 1975 American Mathematical Society