Separate node ascending derivatives expansion (SNADE) for univariate functions: Node optimization via partial fluctuation suppression

Influence of a simple pole on the convergence of separate node ascending derivatives expansion (SNADE) on a sequence of nodes alternating between 2 values

“…The method contains denumerable infinitely many nodes in contrast to Taylor series expansion. Separate node ascending derivatives expansion is based on the derivative integration formula . The core topic of this work, SNADE, is also based on the same identity.…”

“…Separate node ascending derivatives expansion is based on the derivative integration formula. [11][12][13][14][15][16] The core topic of this work, SNADE, is also based on the same identity. However, it uses infinitely many expansion points in each step of its repeated utilization.…”