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A Generalization Of Linear Multistep Methods, Leon Arriola
A Generalization Of Linear Multistep Methods, Leon Arriola
Mathematics & Statistics Theses & Dissertations
A generalization of the methods that are currently available to solve systems of ordinary differential equations is made. This generalization is made by constructing linear multistep methods from an arbitrary set of monotone interpolating and approximating functions. Local truncation error estimates as well as stability analysis is given. Specifically, the class of linear multistep methods of the Adams and BDF type are discussed.