This book deals with numerical methods for solving partial differential equa tions (PDEs)
coupling advection, diffusion and reaction terms, with a focus on time-dependency. A …

In this article we introduce new bounds on the effective condition number of deflated and
preconditioned-deflated symmetric positive definite linear systems. For the case of a …

Knowledge of fluid pressure is important to predict the presence of oil and gas in reservoirs.
A mathematical model for the prediction of fluid pressures is given by a time-dependent …

The evolution of negative streamers during electric breakdown of a non-attaching gas can
be described by a two-fluid model for electrons and positive ions. It consists of continuity …

We introduce a 3D hybrid model for streamer discharges that follows the dynamics of single
electrons in the region with strong field enhancement at the streamer tip while approximating …

This paper describes a domain-based multilevel block ILU preconditioner (BILUTM) for
solving general sparse linear systems. This preconditioner combines a high accuracy …

A parallel numerical method has been implemented for solving the Navier–Stokes equations
on Cartesian and non-orthogonal meshes. To ensure the accuracy of the code first, second …

We recently have presented first physical predictions of a spatially hybrid model that follows
the evolution of a negative streamer discharge in full three spatial dimensions; our spatially …

In this paper a multilevel-like ILU preconditioner is introduced. The ILU factorization
generates its own ordering during the elimination process. Both ordering and dropping …

In this paper, a fully implicit numerical model of the three-dimensional thermohaline ocean
circulation is presented. With this numerical model it is possible to follow branches of steady …