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• W3134733524 abstract "This paper presents a sequence of deferred correction (DC) schemes built recursively from the implicit midpoint scheme for the numerical solution of general first order ordinary differential equations (ODEs). It is proven that each scheme is A-stable, satisfies a B-convergence property, and that the correction on a scheme DC(2j) of order 2j of accuracy leads to a scheme DC2j+2 of order 2j+2. The order of accuracy is guaranteed by a deferred correction condition. Numerical experiments with standard stiff and non-stiff ODEs are performed with the DC2, ..., DC10 schemes. The results show a high accuracy of the method. The theoretical orders of accuracy are achieved together with a satisfactory stability." @default.
• W3134733524 created "2021-03-15" @default.
• W3134733524 creator A5020605528 @default.
• W3134733524 creator A5026708448 @default.
• W3134733524 date "2019-03-05" @default.
• W3134733524 modified "2023-09-27" @default.
• W3134733524 title "Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction" @default.
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• W3134733524 hasPublicationYear "2019" @default.
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