Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

We discuss the application of Peano theory, Lebesgue functions, and the theory of best polynomial approximation to the determination of a priori bounds on the error ...

We present in this paper a rigorous error analysis of several projection schemes for the approximation of the unsteady incompressible Navier-Stokes equations. The ...

The largest-ever black-box study on the accuracy of bloodstain pattern analysis (BPA), a widely used forensic technique, has found concerning error rates and ...