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CORR
1999
Springer
124views Education» more  CORR 1999»
13 years 9 months ago
An Algebraic Programming Style for Numerical Software and its Optimization
The abstract mathematical theory of partial differential equations (PDEs) is formulated in terms of manifolds,scalar fields, tensors, and the like, but these algebraic structures a...
T. B. Dinesh, Magne Haveraaen, Jan Heering
PADL
2012
Springer
12 years 4 months ago
Typing the Numeric Tower
In the past, the creators of numerical programs had to choose between simple expression of mathematical formulas and static type checking. While the Lisp family and its dynamically...
Vincent St-Amour, Sam Tobin-Hochstadt, Matthew Fla...
ISSAC
1997
Springer
194views Mathematics» more  ISSAC 1997»
14 years 1 months ago
The Minimised Geometric Buchberger Algorithm: An Optimal Algebraic Algorithm for Integer Programming
IP problems characterise combinatorial optimisation problems where conventional numerical methods based on the hill-climbing technique can not be directly applied. Conventional me...
Qiang Li, Yike Guo, Tetsuo Ida, John Darlington
PARA
2004
Springer
14 years 2 months ago
Cache Optimizations for Iterative Numerical Codes Aware of Hardware Prefetching
Cache optimizations typically include code transformations to increase the locality of memory accesses. An orthogonal approach is to enable for latency hiding by introducing prefet...
Josef Weidendorfer, Carsten Trinitis
ICCS
2003
Springer
14 years 2 months ago
Self-Adapting Numerical Software and Automatic Tuning of Heuristics
Self-Adapting Numerical Software (SANS) systems aim to bridge the knowledge gap that exists between the expertise of domain scientists, and the know-how that is needed to fulfill...
Jack Dongarra, Victor Eijkhout