Applying smoothed aggregation (SA) multigrid to solve a nonsymmetric linear system, Ax=b,
is often impeded by the lack of a minimization principle that can be used as a basis for the …

In the mathematical modeling of real-life applications, systems of equations with complex
coefficients often arise. While many techniques of numerical linear algebra, eg, Krylov …

Bootstrap algebraic multigrid (BAMG) is a multigrid‐based solver for matrix equations of the
form Ax= b. Its aim is to automatically determine the interpolation weights used in algebraic …

Although there have been significant advances in robust algebraic multigrid (AMG) methods
in recent years, numerical studies and emerging hardware architectures continue to favor …

Classical multigrid solution of linear systems with matrices that have highly variable entries
and are nearly singular is made difficult by the compounding difficulties introduced by these …

Multigrid methods are ideal for solving the increasingly large-scale problems that arise in
numerical simulations of physical phenomena because of their potential for computational …

A significant amount of the computational time in large Monte Carlo simulations of lattice
field theory is spent inverting the discrete Dirac operator. Unfortunately, traditional covariant …

In this paper, we highlight new multigrid solver advances in the Terascale Optimal PDE
Simulations (TOPS) project in the Scientific Discovery Through Advanced Computing …

While several tutorials and texts exists that introduce basic and advanced aspects of
multigrid methodology, the aim here is a relatively short exposition that is simplified by …

The Dirac equation of quantum electrodynamics describes the interaction between electrons
and photons. Large‐scale numerical simulations of the theory require repeated solution of …