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arXiv · 1512.01803

Chopping a Chebyshev Series

Jared L. Aurentz·Lloyd N. Trefethen
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Abstract

Chebfun and related software projects for numerical computing with functions are based on the idea that at each step of a computation, a function $f(x)$ defined on an interval $[a,b]$ is "rounded" to a prescribed precision by constructing a Chebyshev series and chopping it at an appropriate point. Designing a chopping algorithm with the right properties proves to be a surprisingly complex and interesting problem. We describe the chopping algorithm introduced in Chebfun Version 5.3 in 2015 after many years of discussion and the considerations that led to this design.

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Jared L. Aurentz, Lloyd N. Trefethen. 2015-12-06. Chopping a Chebyshev Series. https://arxiv.org/abs/1512.01803

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