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Mathematics of Computation

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Backward differentiation approximations of nonlinear differential/algebraic systems


Authors: Kathryn E. Brenan and Björn E. Engquist
Journal: Math. Comp. 51 (1988), 659-676, S7
MSC: Primary 65L05
DOI: https://doi.org/10.1090/S0025-5718-1988-0930221-3
MathSciNet review: 930221
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Abstract: Finite difference approximations of dynamical systems modelled by nonlinear, semiexplicit, differential/algebraic equations are analyzed. Convergence for the backward differentiation method is proved for index two and index three problems when the numerical initial values obey certain constraints. The appropriate asymptotic convergence rates and the leading error terms are determined.


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DOI: https://doi.org/10.1090/S0025-5718-1988-0930221-3
Article copyright: © Copyright 1988 American Mathematical Society