Document Type

Poster

Abstract

The Störmer-Cowell family of multistep methods are used to approximate solutions to many second-order differential equations of the form y′′=f(x, y), particularly in celestial mechanics. In this project, we study the order of the combined Störmer-Cowell predictor-corrector methods. In particular, when an order-q corrector is combined with various orders of predictors, what is the order of the resulting method? We then compare the stability properties amongst methods of the same order.

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Publication Date

4-2022

Keywords

Störmer-Cowell predictor-corrector methods, second-order differential equations

Disciplines

Mathematics

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