J. R. Rice. Parallel algorithms for adaptive quadrature III -- program correctness. ACM Transactions on Mathematical Software, 2, 1976. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
The Purdue Parallel Benchmarks in FP - Bentson (1993) (135 citations) (Correct)
....improvement. 4.17 Problem 17 4.17.1 Problem Description and Algorithm The last Purdue technical report [RJ90] added a 17th problem adaptive quadrature. The report did not formally specify what was to be done, rather it referred to textbooks that discussed various implementations of AQ [Ric75] [Ric76]. 4.17.2 Inherent Parallelism Given truly independent parallelism not that of many SIMD systems AQ offers large, but irregular parallelism. One does not know a priori the degree of parallelism. The degree of parallelism is instead derived from the function being evaluated. Parallelism grows ....
J. R. Rice. Parallel algorithms for adaptive quadrature III -- program correctness. ACM Transactions on Mathematical Software, 2, 1976.
Parallel Algorithms For Globally Adaptive Quadrature - Bull (1997) (Correct)
....the CHAPTER 3. QUADRATURE ALGORITHMS 58 algorithm how many more stages will be necessary. The load, therefore, must be estimated from known quantities. A variety of different tests for satisfying the global error tolerance are also possible. The first work in this area is due to Rice [40] 41] [42]. This work is purely theoretical, and is not strictly a parallel version of Algorithm CP, since subintervals with small error estimates are discarded and cannot therefore be further subdivided. The subintervals which are not discarded are stored in queues, with newly generated subintervals put at ....
Rice, J., (1976) Parallel algorithms for adaptive quadrature III---program correctness, ACM Trans. on Math. Soft., vol. 2, pp. 1--30.
Parallel Algorithms For Globally Adaptive Quadrature - Bull (1997) (Correct)
....the CHAPTER 3. QUADRATURE ALGORITHMS 58 algorithm how many more stages will be necessary. The load, therefore, must be estimated from known quantities. A variety of different tests for satisfying the global error tolerance are also possible. The first work in this area is due to Rice [40] 41] [42]. This work is purely theoretical, and is not strictly a parallel version of Algorithm CP, since subintervals with small error estimates are discarded and cannot therefore be further subdivided. The subintervals which are not discarded are stored in queues, with newly generated subintervals put at ....
Rice, J., (1976) Parallel algorithms for adaptive quadrature III---program correctness, ACM Trans. on Math. Soft., vol. 2, pp. 1--30.
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