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math.NA2015
Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities
Ben Adcock, Jésus Martín-Vaquero, Mark Richardson
We introduce a numerical method for the approximation of functions which are analytic on compact intervals, except at the endpoints. This method is based on variable transforms usi…
math.NA2013
New exponential variable transform methods for functions with endpoint singularities
Ben Adcock, Mark Richardson
The focus of this article is the approximation of functions which are analytic on a compact interval except at the endpoints. Typical numerical methods for approximating such funct…