In this survey paper, we compare native double precision solvers with emulated-and mixed-
precision solvers of linear systems of equations as they typically arise in finite element …

Reconfigurable Computing marks a revolutionary and hot topic that bridges the gap
between the separate worlds of hardware and software design—the key feature of …

Moore's Law states that the number of transistors on a device doubles every two years;
however, it is often (mis) quoted based on its impact on CPU performance. This important …

Field programmable gate arrays (FPGAs) have long been an attractive alternative to
microprocessors for computing tasks-as long as floating-point arithmetic is not required …

We present a parameterized floating-point library for use with reconfigurable hardware. Our
format is both general and flexible. All IEEE formats are a subset of our format, as are all …

Optimal reconfigurable hardware implementations may require the use of arbitrary floating-
point formats that do not necessarily conform to IEEE specified sizes. We present a variable …

FPGAs are becoming more and more attractive for high precision scientific computations.
One of the main problems in efficient resource utilization is the quadratically growing …

As FPGAs are increasingly being used for floating-point computing, the feasibility of a library
of floating-point elementary functions for FPGAs is discussed. An initial implementation of …

For certain applications, custom computational hardware created using field programmable
gate arrays (FPGAs) can produce significant performance improvements over processors …

Field-programmable circuits now have a capacity that allows them to accelerate floating-
point computing, but are still missing core libraries for it. In particular, there is a need for an …