Algebraic multigrid (AMG) methods have emerged as a crucial tool for efficiently solving large, sparse linear systems, particularly those arising in complex scientific and engineering simulations.

First developed in 1998, the hypre team has adapted their cross-platform high performance library to support a variety of machine architectures over the years. Hypre supports scalable solvers and ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

Algebraic structures such as operads, Lie algebras and higher A∞-algebras underpin many foundational aspects of modern mathematics. When combined with homotopy theory—the study of continuous ...

Another week of the 2025 Oregon high school football season has come and gone, and High School On SI has all of the latest ...

In a previous paper [SIAM J. Numer. Anal., 51 (2013), pp. 2238-2259] we analyzed the optimal orders of convergence of piecewise polynomial collocation solutions for systems of integralalgebraic ...

In an experimental study using 378 eighth-grade students, analyses of variance with the levels of confidence at better than one percent showed that the deductive method was superior to the inductive ...

Analysis and application of numerical methods for solving large systems of linear equations, which often represent the bottleneck when computing solutions to equations arising in fluid mechanics, ...