In this work, we propose efficient discretizations for nonlinear evolutionary reaction–diffusion
problems on general two-dimensional domains. The spatial domain is discretized through …

This paper deals with the numerical solution of semilinear parabolic problems by means of
efficient parallel algorithms. We first consider a mimetic finite difference method for the …

In this paper, we propose reliable and efficient numerical methods for solving semilinear,
time-dependent partial differential equations of reaction–diffusion type. The original problem …

This work deals with the efficient numerical solution of a class of nonlinear time-dependent
reaction–diffusion equations. Via the method of lines approach, we first perform the spatial …

A new family of linearly implicit fractional step methods is proposed for the efficient
numerical solution of a class of nonlinear time-dependent reaction-diffusion equations. By …

This thesis is devoted to the numerical solution of time-dependent partial differential
equations of parabolic type. This kind of equations is frequently used when modelling a wide …

In this work, we propose efficient discretizations for nonlinear evolutionary reaction–diffusion
problems on general two-dimensional domains. The spatial domain is discretized through …

This work is devoted to the efficient numerical solution of semilinear parabolic problems
posed on two-dimensional domains. To this end, we first carry out a spatial …