A priori bounds are derived for the discrete solution of second-order elliptic partial differential equations (PDEs). The bounds have two contributions. First, the influence of boundary conditions is taken into account through a discrete maximum principle. ...

In the last decade, expression templates (ETs) have gained a reputation as an efficient performance optimization tool for C++ codes. This reputation builds on several ET-based linear algebra frameworks focused on combining both elegant and high-...

Leading-edge science and engineering depend on advanced computing for understanding, prediction, and control. In response to these needs, the field of computational science and engineering (CS&E) is evolving rapidly, to the point that it is now widely ...

In this erratum, we correct the previous explanation of the data-collection procedure as outlined in [SIAM J. Sci. Comput., 29 (2007), pp. 1550-1566].

The Copper Mountain Conference on Iterative Methods, a biennial event organized by the University of Colorado in cooperation with SIAM, has become a tradition. The seventh edition took place March 24--29, 2002, and while traditions are often associated ...

The Copper Mountain Conferences, organized annually by the University of Colorado in cooperation with SIAM, focus alternately on multigrid methods and iterative methods. The conferences have built a reputation for the relaxed atmosphere that makes it ...

In this paper, we examine different methods using techniques of blocking, buffering, and padding for efficient implementations of bit-reversals. We evaluate the merits and limits of each technique and its application and architecture-dependent conditions ...

This paper describes mathematical and software developments for a suite of programs for solving ordinary differential equations in MATLAB.