Wilkinson defined a sparse matrix as one with enough zeros that it pays to take advantage of
them. 1 This informal yet practical definition captures the essence of the goal of direct …

This article reviews the state of the recently developed discontinuous Galerkin finite element
method for the efficient numerical treatment of nanophotonic systems. This approach …

Kwant is a Python package for numerical quantum transport calculations. It aims to be a user-
friendly, universal, and high-performance toolbox for the simulation of physical systems of …

An ANSI C code for sparse LU factorization is presented that combines a column pre-
ordering strategy with a right-looking unsymmetric-pattern multifrontal numerical …

The subject of sparse matrices has its root in such diverse fields as management science,
power systems analysis, surveying, circuit theory, and structural analysis. Efficient use of …

A general theoretical formalism is developed to assess how base-flow modifications may
alter the stability properties of flows studied in a global approach of linear stability theory. It …

This article deals with the first Hopf bifurcation of a cylinder flow, and more particularly with
the properties of the unsteady periodic Kármán vortex street regime that sets in for …

In 3+ 1 numerical simulations of dynamic black-hole spacetimes, it is useful to be able to find
the apparent horizon (s)(AH) in each slice of a time evolution. A number of AH finders are …

SuiteSparseQR is a sparse QR factorization package based on the multifrontal method.
Within each frontal matrix, LAPACK and the multithreaded BLAS enable the method to …

Although there are many advanced and specialized texts and handbooks on algorithms,
until now there was no book that focused exclusively on the wide variety of data structures …