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Abstract: The paper presents a new result for the existence and uniqueness of solutions of the system of nonlinear algebraic equations obtained from the application of the BDF methods to stiff initial value problems in ordinary differential equations. (Update)
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BibTeX entry: (Update)
@techreport{ williams95existence,
author = "Jack Williams",
title = "Existence and Uniqueness of Solutions of the Algebraic Equations in the {BDF} Methods",
number = "No. 272",
address = "Manchester, England",
year = "1995",
url = "citeseer.ist.psu.edu/williams00existence.html" }
Citations (may not include all citations):229 Solving Ordinary Differential Equations (context) - Hairer, Norsett et al. - 1987
12 Model problems in numerical stability theory for initial val.. (context) - Stuart, Humphries - 1994
10 Oxford University Press (context) - Aitken, Stiff - 1985
4 The essential stability of local error control for dynamical.. (context) - Stuart, Humphries
3 The error committed by stopping the Newton iteration in the .. (context) - van Dorsselaer, Spiker - 1994
2 Southern Methodist Univ (context) - Shampine, Reichelt et al.
2 On logarithmic norms (context) - Strom - 1975
2 The nonlinear equations arising in the numerical solution of.. (context) - Williams
2 The problem of implicit formulas in numerical methods for st.. (context) - Williams - 1979
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