A modified Butcher formula for integration of stiff systems of ordinary differential equations
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- Math. Comp. 27 (1973), 267-272 Request permission
Abstract:
An A-stable one-step integration formula, called the modified Butcher (MB), is presented and is shown to have an order of accuracy $p = 3$, when the differential system is linear, and $p = 2$ otherwise. A method for evaluating the local truncation error of the formula is also suggested. Finally, the main features of this formula, vis-a-vis the trapezoidal, are compared.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 267-272
- MSC: Primary 65L05
- DOI: https://doi.org/10.1090/S0025-5718-1973-0329265-3
- MathSciNet review: 0329265