Computational frameworks for the fast Fourier transform
Computational frameworks for the fast Fourier transform
Applied numerical linear algebra
Applied numerical linear algebra
A summary of numerical methods for time-dependent advection-dominated partial differential equations
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
Computers & Mathematics with Applications
Hi-index | 0.00 |
A system of partial differential equations modelling the attraction of a population of cells to a biochemical concentration in its environment is considered. The system incorporates convective and diffusive effects, either of which may dominate. A numerical method is presented that allows for both possible features, which conserves positivity of solutions and their mass in the absence of sources or sinks. An efficient implementation of the method in a two-dimensional setting is described that uses fast Poisson solvers for either 5-or 9-pt stencils approximating the Laplacian. It is also shown that the computational work for either stencil is essentially the same.