We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method. In the former method, the soluti...
Bang-bang and singular optimal controls in a fedbatch fermentation process are computed for a range of time horizons. Numerical algorithms for determining the optimal control struc...
Adam Korytowski, Maciej Szymkat, Helmut Maurer, Ge...
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
The numerical solution of a parabolic equation with memory is considered. The equation is first discretized in time by means of the discontinuous Galerkin method with piecewise co...