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Numerical Algorithms

Issue 4/2024

Content (18 Articles)

Open Access Original Paper

Detecting and approximating decision boundaries in low-dimensional spaces

Matthias Grajewski, Andreas Kleefeld

Original Paper

SGEM: stochastic gradient with energy and momentum

Hailiang Liu, Xuping Tian

Open Access Original Paper

A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography

Sania Qureshi, Ioannis K. Argyros, Amanullah Soomro, Krzysztof Gdawiec, Asif Ali Shaikh, Evren Hincal

Original Paper

An adaptive projection BFGS method for nonconvex unconstrained optimization problems

Gonglin Yuan, Xiong Zhao, Kejun Liu, Xiaoxuan Chen

Open Access Original Paper

Patch area and uniform sampling on the surface of any ellipsoid

Callum Robert Marples, Philip Michael Williams

Original Paper

A highly efficient class of optimal fourth-order methods for solving nonlinear systems

Alicia Cordero, Renso V. Rojas-Hiciano, Juan R. Torregrosa, Maria P. Vassileva

Original Paper

Runge–Kutta pairs of orders 9(8) for use in quadruple precision computations

Vladislav N. Kovalnogov, Ruslan V. Fedorov, Tamara V. Karpukhina, Theodore E. Simos, Charalampos Tsitouras

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