Chebyshev polynomial approximations with adaptive sampling solve canonical differential equations for Feynman integrals, demonstrated to be stable and competitive for two-loop five-point cases in double precision.
Bernstein,Sur l’ordre de la meilleure approximation des fonctions continues par des polynˆ omes de degr´ e donn´ e,M´ emoires de l’Acad´ emie royale de Belgique4(1912) 1–104
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Chebyshev Approximations of Feynman Integrals for Collider Physics
Chebyshev polynomial approximations with adaptive sampling solve canonical differential equations for Feynman integrals, demonstrated to be stable and competitive for two-loop five-point cases in double precision.