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 consider the numerical approximation of a semilinear fractional order evolution equation involving a Caputo derivative in time of order α ϵ (0,1). Assuming a Lipschitz continuous nonlinear source ...

We consider a model of traffic flow with unilateral constraint on the flux introduced by Colombo and Goatin [J. Differential Equations, 234 (2007), pp. 654-675], for which the convergence of numerical ...

A numerical error is either of two kinds of error in a calculation. The first (a rounding error) is caused by the finite precision of computations involving floating ...

Numerical computation and mathematical software form the backbone of modern scientific inquiry, facilitating the approximation of real numbers, the solution of complex mathematical models, and the ...

On 28 June 2021, 14:00-18:00, an online workshop "PDE and Numerical Mathematics" is organised by the Mathematics Departments of the Universities of Münster and Twente. Please contact Mario Ohlberger ...