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 complex-step method is a clever way of obtaining a numerical approximation to the first derivative of a function, avoiding the round-off error that plagues ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Focuses on the theory and application of numerical techniques including error analysis. Also discusses solution of linear, nonlinear and differential equations ...

This is a preview. Log in through your library . Abstract This paper concerns the application of Ortiz' recursive formulation of the Tau method to the construction of piecewise polynomial ...

By combining physics-based methods with machine learning, a team at the Institute of Thermodynamics and Sustainable ...

We're often told it is "unscientific" or "meaningless" to ask what happened before the Big Bang. But a new paper by FQxI cosmologist Eugene Lim, of King's College London, UK, and astrophysicists Katy ...

A groundbreaking study published in Living Reviews in Relativity proposes a novel computational method to investigate one of the universe's greatest mysteries: what preceded the Big Bang, thereby ...