The numerical treatment of partial differential equations splits into two different parts. The
first part are the discretisation methods and their analysis. This led to the author's …

Iterative methods are currently the solvers of choice for large sparse linear systems of
equations. However, it is well known that the key factor for accelerating, or even allowing for …

We consider the iterative solution of large sparse linear systems arising from the upwind
finite difference discretization of convection-diffusion equations. The system matrix is then an …

We present a robust and scalable solver for time-harmonic Maxwell's equations for problems
with large conductivity contrasts, wide range of frequencies, stretched grids and locally …

We develop an algebraic multigrid (AMG) setup scheme based on the bootstrap framework
for multiscale scientific computation. Our approach uses a weighted least squares definition …

In this paper, we propose a fast block α-circulant preconditioner for solving the
nonsymmetric linear system arising from an all-at-once implicit discretization scheme in time …

Standard Krylov subspace solvers for self-adjoint problems have rigorous convergence
bounds based solely on eigenvalues. However, for non-self-adjoint problems, eigenvalues …

This book describes, in a basic way, the most useful and effective iterative solvers and
appropriate preconditioning techniques for some of the most important classes of large and …

This study aims to explain the position of ethnomathematical learning in a space that
involves the challenges and problems of indigenous students in overcoming difficulties in …

Culture-based learning enables teachers and students to participate actively based on their
knowledge about culture, producing optimal learning results. Ethnomathematics, particularly …