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• W2897864634 abstract "Variable Stepsize Variable Order (VSVO) methods are the methods of choice to efficiently solve a wide range of ODEs with minimal work and assured accuracy. However, VSVO methods have limited impact in timestepping methods in complex applications due to their computational complexity and the difficulty to implement them in legacy code. We introduce a family of implicit, embedded, VSVO methods that require only one BDF solve at each time step followed by adding linear combinations of the solution at previous time levels. In particular, we construct implicit and linearly implicit VSVO methods of orders two, three and four with the same computational complexity as variable stepsize BDF3. The choice of changing the order of the method is simple and does not require additional solves of linear or nonlinear systems." @default.
• W2897864634 created "2018-10-26" @default.
• W2897864634 creator A5025481765 @default.
• W2897864634 creator A5062068681 @default.
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• W2897864634 date "2018-10-15" @default.
• W2897864634 modified "2023-09-27" @default.
• W2897864634 title "A new embedded variable stepsize, variable order family of low computational complexity" @default.
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• W2897864634 hasPublicationYear "2018" @default.
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