Accelerating Scientific Computations with Mixed Precision Algorithms
نویسندگان
چکیده
a Department of Mathematics, University of Coimbra, Coimbra, Portugal b French National Institute for Research in Computer Science and Control, Lyon, France c Department of Electrical Engineering and Computer Science, University Tennessee, Knoxville, TN, USA d Oak Ridge National Laboratory, Oak Ridge, TN, USA e University of Manchester, Manchester, United Kingdom f Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO, USA g MathWorks, Inc., Natick, MA, USA
منابع مشابه
Accelerating Double Precision FEM Simulations with GPUs
In visualization and computer graphics it has been shown that the numerical solution of PDE problems can be obtained much faster on graphics processors (GPUs) than on CPUs. However, GPUs are restricted to single precision floating point arithmetics which is insufficient for most technical scientific computations. Since we do not expect double precision support natively in graphics hardware in t...
متن کاملA Computational Approach to Custom Data Representation for Hardware Accelerators a Computational Approach to Custom Data Representation for Hardware Accelerators
This thesis details the application of computational methods to the problem of determining custom data representations when building hardware accelerators for numerical computations. A majority of scientific applications which require hardware acceleration are implemented in IEEE-754 double precision. However, in many cases the error tolerance requirements of the application are much less than ...
متن کاملAccelerating the Composite Power System Planning by Benders Decomposition
This paper presents an application of Benders decomposition to deal with the complexities in the simultaneous Generation Expansion Planning (GEP) and Transmission Expansion Planning (TEP). Unlike the power system operation fields of study, the power system planning methods are not expected to be fast. However, it is always preferable to speed up computations to provide more analysis options for...
متن کاملExploiting Mixed Precision Floating Point Hardware in Scientific Computations
By using a combination of 32-bit and 64-bit floating point arithmetic, the performance of many dense and sparse linear algebra algorithms can be significantly enhanced while maintaining the 64-bit accuracy of the resulting solution. The approach presented here can apply not only to conventional processors but also to exotic technologies such as Field Programmable Gate Arrays (FPGA), Graphical P...
متن کاملA Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers
This work presents an approach for accelerating arbitrary-precision arithmetic on high-performance reconfigurable computers (HPRCs). Although faster and smaller, fixed-precision arithmetic has inherent rounding and overflow problems that can cause errors in scientific or engineering applications. This recurring phenomenon is usually referred to as numerical nonrobustness. Therefore, there is an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computer Physics Communications
دوره 180 شماره
صفحات -
تاریخ انتشار 2009