Tikhonov regularisation addresses the inherent instability of linear systems in which small perturbations of the input can lead to large variations in the solution. Such ill-posed problems commonly ...

Large sparse linear systems arise in diverse fields such as structural engineering, fluid dynamics, network analysis and machine learning. Direct factorisation techniques often become impractical for ...

Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

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, ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

Ensuring reliable analytical methods and bioassays requires a well-thought-out strategy for evaluating method validity and systems suitability. Analytical methods and bioassays require a ...