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.

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 ...

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, ...

The use of computer algebra systems in a course on scientific computation is demonstrated. Various examples, such as the derivation of Newton's iteration formula, the secant method, Newton-Cotes and ...

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 ...