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math.NA2019★ 2 cited
Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization
Satoshi Hayakawa, Ken'ichiro Tanaka
We investigate the approximation formulas that were proposed by Tanaka & Sugihara (2019), in weighted Hardy spaces, which are analytic function spaces with certain asymptotic decay…
math.NA2019
Construction of conformal maps based on the locations of singularities for improving the double exponential formula
Shunki Kyoya, Ken'ichiro Tanaka
The double exponential formula, or the DE formula, is a high-precision integration formula using a change of variables called a DE transformation; whereas there is a disadvantage t…