Transcription of Solving Differential Equations in R
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Solving Differential Equations in R
CONTRIBUTEDRESEARCHARTICLES5 Solving Differential Equations in Rby Karline Soetaert, Thomas Petzoldt and R. WoodrowSetzer1 AbstractAlthough R is still predominantly ap-plied for statistical analysis and graphical repre-sentation, it is rapidly becoming more suitablefor mathematical computing. One of the fieldswhere considerable progress has been made re-cently is the solution of Differential we give a brief overview of differentialequations that can now be solved by Equations describe exchanges of matter,energy, information or any other quantities, often asthey vary in time and/or space.
merically solve such problems, so-called Runge-Kutta formulas and linear multistep formulas (Hairer et al., 2009;Hairer and Wanner,2010). The latter contains two important families, the Adams family and the backward differentiation formulae (BDF). Another important distinction is between explicit and implicit methods, where the latter methods can
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