1920. Had he not died so young, his presence in modern mathematics might be more immediately felt. Had he lived to have access to powerful algebraic manipulation software, such as macsyma, who knows...
D. H. Bailey, J. M. Borwein, R. E. Cr
1 Numerical values for Cn We present in this section the numerical values we have obtained for the Cn constants discussed in the paper [1]. Values of the Dn and En are given in Section 2. Values of...
This paper describes the Intel Touchstone (2008)
D. H. Bailey, E. Barszcz, R. A. Fatoohi, H. D. Simon, S. Weeratunga
J. M. Borwein, R. E. Crandall, Et C. Pomerance, D. H. Bailey
Résumé. En combinant des concepts de thorie additive des nombres avec des rsultats sur les dveloppements binaires et les sries partielles, nous tablissons de nouvelles bornes pour la densit de 1...
Jonathan M. Borwein, Richard E. Crandall, Carl Pomerance, D. H. Bailey
Résumé. En combinant des concepts de théorie additive des nombres avec des résultats sur les développements binaires et les séries partielles, nous établissons de nouvelles bornes pour la...
X. S. Li, J. W. Demmel, D. H. Bailey, W. Kahanz, A. Kapurz, M. C. Martinz, ...
G. Henry x Y. Hida z J. Iskandar
High-Precision Numerical Integration: Progress and Challenges (2008)
Abstract. One of the most fruitful advances in the field of experimental mathematics has been the development of practical methods for very high-precision numerical integration, a quest initiated by...
High-Precision Numerical Integration: Progress and Challenges (2008)
Abstract. One of the most fruitful advances in the field of experimental mathematics has been the development of practical methods for very high-precision numerical integration, a quest initiated by...
Overview of the Intel Touchstone Gamma (2007)
D. H. Bailey, E. Barszcz, R. A. Fatoohi, H. D. Simon, S. Weeratunga
This paper describes the Intel Touchstone
Crandall Resolution of the Quinn-RandStrogatz constant of nonlinear physics, unpublished (2007)
D. H. Bailey, J. M. Borwein, R. E. Cr
Abstract: Herein we develop connections between zeta functions and some recent “mysterious” constants of nonlinear physics. In an important analysis of coupled Winfree oscillators, Quinn, Rand,...
For an integer b ≥ 2 we say that a real number α is b-normal (or normal base b) if, for all m> 0, every m-long string of digits in the base-b expansion of α appears, in the limit, with...
Crandall Resolution of the Quinn-RandStrogatz constant of nonlinear physics, unpublished (2007)
D. H. Bailey, J. M. Borwein, R. E. Cr
Abstract: Herein we develop connections between zeta functions and some recent “mysterious” constants of nonlinear physics. In an important analysis of coupled Winfree oscillators, Quinn, Rand,...
Abstract: We apply experimental-mathematical principles to analyze integrals (2006)
D. H. Bailey, D. Borwein, J. M. Borwein, R. E. Crandall
dx1 dx2 · · · dxn n! (cosh x1 + · · · + cosh xn) k+1 0 0 These are generalizations of a previous integral Cn: = Cn,1 relevant to the Ising theory of solid-state physics [8]. We find...
D. H. Bailey, J. M. Borwein, R. E. Cr
Abstract: From an experimental-mathematical perspective we analyze “Isingclass” integrals. These are structurally related n-dimensional integrals we call Cn, Dn, En, where Dn is a magnetic...
Abstract: We apply experimental-mathematical principles to analyze integrals (2006)
D. H. Bailey, D. Borwein, J. M. Borwein, R. E. Crandall
dx1 dx2 · · · dxn n! (cosh x1 + · · · + cosh xn) k+1 0 0 These are generalizations of a previous integral Cn: = Cn,1 relevant to the Ising theory of solid-state physics [8]. We find...
D. H. Bailey, J. M. Borwein, R. E. Cr
Abstract: From an experimental-mathematical perspective we analyze “Isingclass” integrals. These are structurally related n-dimensional integrals we call Cn, Dn, En, where Dn is a magnetic...
This paper describes schemes for rapidly computing numerical values of definite integrals to very high accuracy (hundreds to thousands of digits) on highly parallel computer systems. Such schemes are...
Design, Implementation and Testing of Extended and Mixed Precision BLAS (2002)
X. S. Li, J. W. Demmel, D. H. Bailey, G. Henry, Y. Hida, J. Isk, ...
This paper describes the design rationale, a C implementation, and conformance testing of a subset of the new Standard for the BLAS (Basic Linear Algebra Subroutines): Extended and Mixed Precision...
Design, Implementation and Testing of Extended and Mixed Precision BLAS (2002)
X. S. Li, J. W. Demmel, D. H. Bailey, G. Henry, Y. Hida, J. Isk, ...
This paper describes the design rationale, a C implementation, and conformance testing of a subset of the new Standard for the BLAS (Basic Linear Algebra Subroutines): Extended and Mixed Precision...
Design, Implementation and Testing of Extended and Mixed Precision BLAS (2001)
X. S. Li, J. W. Demmel, D. H. Bailey, G. Henry, Y. Hida, J. Iskandar, ...
This paper describes the design rationale, a C implementation, and conformance testing of a subset of the new Standard for the BLAS (Basic Linear Algebra Subroutines): Extended and Mixed Precision...
Design, implementation and testing of extended and mixed precision BLAS (2000)
Li, X.S., Demmel, J.W., Bailey, D.H., Henry, G., Hida, Y., Iskandar, J., ...
This article describes the design rationale, a C implementation, and conformance testing of a subset of the new Standard for the BLAS (Basic Linear Algebra Subroutines): Extended and Mixed Precision...
Design, Implementation and Testing of Extended and Mixed Precision BLAS (2000)
X. S. Li, J. W. Demmel, D. H. Bailey, G. Henry, Y. Hida, J. Iskandar, ...
This paper describes the design rationale, a C implementation, and conformance testing of a subset of the new Standard for the BLAS (Basic Linear Algebra Subroutines): Extended and Mixed Precision...
Measurement and Analysis of Memory Conflicts on Vector Multiprocessors. (1998)
The memory organization and technological design parameters which create memory access conflicts and affect performance of the CRAY family of processors are studied. Measurements on the...
This article will follow up one small thread of Ramanujan's work which has found a modern computational context, namely, one of his approaches to approximating ß. Our experience has been that...
The NAS Parallel Benchmarks (1994)
D. H. Bailey, E. Barszcz, J. T. Barton, D. S. Browning, R. L. Carter, L. Dagum, ...
A new set of benchmarks has been developed for the performance evaluation of highly parallel supercomputers. These benchmarks consist of five "parallel kernel" benchmarks and three...
NAS Parallel Benchmark Results (1992)
D. H. Bailey, L. Dagum, E. Barszcz, H. D. Simon
The NAS Parallel Benchmarks have been developed at NASA Ames Research Center to study the performance of parallel supercomputers. The eight benchmark problems are specified in a “pencil and...
The nas parallel benchmarks (1991)
D. H. Bailey, E. Barszcz, J. T. Barton, D. S. Browning, R. L. Carter, R. A. Fatoohi, ...
A new set of benchmarks has been developed for the performance evaluation of highly parallel supercomputers. These benchmarks consist of ve \parallel kernel " benchmarks and three \simulated...