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Bailey, David Harold

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Author ID: bailey.david-h Recent zbMATH articles by "Bailey, David Harold"
Published as: Bailey, David H.; Bailey, D. H.; Bailey, David
Homepage: http://www.davidhbailey.com
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 82 Publications since 1987, including 5 Books
5 Contributions as Editor
1 Further Contribution
all top 5

Co-Authors

10 single-authored
52 Borwein, Jonathan Michael
12 Crandall, Richard E.
6 Borwein, Peter Benjamin
5 López de Prado, Marcos
4 Girgensohn, Roland
3 Broadhurst, David John
3 Plouffe, Simon
3 Swarztrauber, Paul N.
2 Borwein, David
2 Brent, Richard Peirce
2 Ferguson, Helaman
2 Lucas, Robert F.
2 Simon, Horst D.
2 Zhu, Qiji Jim
1 Alpern, Bowen
1 Aragón Artacho, Francisco Javier
1 Arno, Steve
1 Astfalk, Geg
1 Bauschke, Heinz H.
1 Bjørstad, Petter Erling
1 Bornemann, Folkmar A.
1 Borwein, Naomi Simone
1 Bradley, David M.
1 Burachik, Regina Sandra
1 Calkin, Neil J.
1 Calude, Cristian S.
1 Carter, Larry
1 del Pozo, Eva
1 Demmel, James Weldon
1 Dinneen, Michael J.
1 Dongarra, Jack J.
1 Dumitrescu, Monica E. Bad
1 Garvan, Frank G.
1 Gilbert, John R.
1 Hennessy, John LeRoy
1 Henry, Greg M.
1 Hida, Yozo
1 Iskandar, Jimmy
1 Jeyabalan, Karthik
1 Johnston, William E.
1 Kahan, William Morton
1 Kaiser, Alexander D.
1 Kang, Suh Y.
1 Kapoor, Vishaal
1 Kapur, Anil
1 Kimberley, Jason S.
1 Kramer, William T. C.
1 Kumar, Vipin
1 Ladd, Watson
1 Laurie, Dirk P.
1 Lee, P. C. Y.
1 Luke, D. Russell
1 Martin, Michael C.
1 Mascagni, Michael V.
1 Mattingly, Andrew
1 McCurdy, C. William
1 Misiurewicz, Michał
1 Moll, Victor Hugo
1 Osborn, Judy-Anne H.
1 Pomerance, Carl Bernard
1 Reisi, Mohsen
1 Rose, Michael G.
1 Salehipour, Amir
1 Schreiber, Robert S.
1 Simon, D. Horst
1 Sims, Brailey
1 Théra, Michel A.
1 Thompson, Brandon J.
1 Torczon, Virginia J.
1 Tung, Teresa
1 Vanderwerff, Jon D.
1 Wagon, Stan
1 Waldvogel, Jörg
1 Wang, Ji
1 Watson, Layne Terry
1 Weisstein, Eric Wolfgang
1 Wightwick, Glenn
1 Williams, Samuel
1 Wolkowicz, Henry
1 Yee, Alex
1 Yoo, Daniel J.
1 Zucker, I. John
1 Zudilin, Wadim

Publications by Year

Citations contained in zbMATH Open

67 Publications have been cited 934 times in 586 Documents Cited by Year
Experimental evaluation of Euler sums. Zbl 0810.11076
Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland
65
1994
On the rapid computation of various polylogarithmic constants. Zbl 0879.11073
Bailey, David; Borwein, Peter; Plouffe, Simon
56
1997
Analysis of PSLQ, an integer relation finding algorithm. Zbl 0927.11055
Ferguson, Helaman R. P.; Bailey, David H.; Arno, Steve
45
1999
Experimentation in mathematics. Computational paths to discovery. Zbl 1083.00002
Borwein, Jonathan; Bailey, David; Girgensohn, Roland
42
2004
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
41
2008
The SIAM 100-digit challenge. A study in high-accuracy numerical computing. With a foreword by David H. Bailey. Zbl 1060.65002
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg
40
2004
Mathematics by experiment. Plausible reasoning in the 21st century. 2nd revised and updated ed. Zbl 1163.00002
Borwein, Jonathan; Bailey, David
40
2008
Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi. Zbl 0672.10017
Borwein, J. M.; Borwein, P. B.; Bailey, D. H.
32
1989
The fractional Fourier transform and applications. Zbl 0734.65104
Bailey, David H.; Swarztrauber, Paul N.
32
1991
A Fortran 90-based multiprecision system. Zbl 0883.68017
Bailey, D. H.
32
1995
Design, implementation and testing of extended and mixed precision BLAS. Zbl 1070.65523
Li, Xiaoye S.; Martin, Michael C.; Thompson, Brandon J.; Tung, Teresa; Yoo, Daniel J.; Demmel, James W.; Bailey, David H.; Henry, Greg; Hida, Yozo; Iskandar, Jimmy; Kahan, William; Kang, Suh Y.; Kapur, Anil
31
2002
Parallel integer relation detection: techniques and applications. Zbl 1037.11090
Bailey, David H.; Broadhurst, David J.
30
2001
Algorithm 719: Multiprecesion translation and execution of FORTRAN programs. Zbl 0889.68015
Bailey, D. H.
25
1993
Random generators and normal numbers. Zbl 1165.11328
Bailey, David H.; Crandall, Richard E.
22
2002
Experimental mathematics in action. Zbl 1127.00002
Bailey, David H.; Borwein, Jonathan M.; Calkin, Neil J.; Girgensohn, Roland; Luke, D. Russell; Moll, Victor H.
22
2007
A fast method for the numerical evaluation of continuous Fourier and Laplace transforms. Zbl 0808.65143
Bailey, David H.; Swarztrauber, Paul N.
18
1994
Mathematics by experiment. Plausible reasoning in the 21st century. Zbl 1083.00001
Borwein, Jonathan; Bailey, David
18
2004
On the binary expansions of algebraic numbers. Zbl 1076.11045
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl
17
2004
On the random character of fundamental constant expansions. Zbl 1047.11073
Bailey, David H.; Crandall, Richard E.
17
2001
Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
16
2014
The quest for pi. Zbl 0878.11002
Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S.
16
1997
Experimental determination of Apéry-like identities for \(\zeta(2n+2)\). Zbl 1204.11136
Bailey, David H.; Borwein, Jonathan M.; Bradley, David M.
16
2006
High-precision computation: mathematical physics and dynamics. Zbl 1248.65147
Bailey, D. H.; Barrio, R.; Borwein, J. M.
15
2012
Experimental mathematics: examples, methods and implications. Zbl 1087.65127
Bailey, David H.; Borwein, Jonathan M.
14
2005
A comparison of three high-precision quadrature schemes. Zbl 1082.65028
Bailey, David H.; Jeyabalan, Karthik; Li, Xiaoye S.
14
2005
Extra high speed matrix multiplication on the Cray-2. Zbl 0644.65030
Bailey, David H.
13
1988
Ten problems in experimental mathematics. Zbl 1153.65301
Bailey, David H.; Borwein, Jonathan M.; Kapoor, Vishaal; Weisstein, Eric W.
12
2006
Integrals of the Ising class. Zbl 1113.65023
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
11
2006
The computation of \(\pi\) to 29,360,000 decimal digits using Borweins’ quartically convergent algorithm. Zbl 0641.10002
Bailey, David H.
10
1988
High-precision numerical integration: progress and challenges. Zbl 1291.65070
Bailey, D. H.; Borwein, J. M.
10
2011
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Zbl 1331.11065
Bailey, D. H.; Borwein, J. M.
10
2016
Advances in the theory of box integrals. Zbl 1227.11127
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
10
2010
On Eulerian log-gamma integrals and Tornheim-Witten zeta functions. Zbl 1382.11068
Bailey, David H.; Borwein, David; Borwein, Jonathan M.
9
2015
Box integrals. Zbl 1120.65027
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
9
2007
An empirical approach to the normality of \(\pi\). Zbl 1281.11077
Bailey, David H.; Borwein, Jonathan M.; Calude, Cristian S.; Dinneen, Michael J.; Dumitrescu, Monica; Yee, Alex
9
2012
On the Khintchin constant. Zbl 0854.11078
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
8
1997
A strong hot spot theorem. Zbl 1143.11023
Bailey, David H.; Misiurewicz, Michał
7
2006
Lattice sums arising from the Poisson equation. Zbl 1263.11074
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.
7
2013
Numerical results on the transcendence of constants involving \(\pi\), \(e\), and Euler’s constant. Zbl 0646.10002
Bailey, David H.
6
1988
Experimental mathematics: recent developments and future outlook. Zbl 1047.00511
Bailey, David H.; Borwein, Jonathan M.
6
2001
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
6
2013
Computation and theory of Mordell-Tornheim-Witten sums. II. Zbl 1326.11050
Bailey, D. H.; Borwein, J. M.
5
2015
Expectations on fractal sets. Zbl 1329.28015
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G.
5
2013
Hypergeometric forms for Ising-class integrals. Zbl 1134.33016
Bailey, D. H.; Borwein, D.; Borwein, J. M.; Crandall, R. E.
5
2007
Nonnormality of Stoneham constants. Zbl 1336.11055
Bailey, David H.; Borwein, Jonathan M.
5
2012
Compressed lattice sums arising from the Poisson equation. Zbl 1294.11137
Bailey, David H.; Borwein, Jonathan M.
4
2013
The computation of previously inaccessible digits of \(\pi^2\) and Catalan’s constant. Zbl 1382.11097
Bailey, David H.; Borwein, Jonathan M.; Mattingly, Andrew; Wightwick, Glenn
4
2013
Pseudo-mathematics and financial charlatanism: the effects of backtest overfitting on out-of-sample performance. Zbl 1338.91157
Bailey, David H.; Borwein, Jonathan M.; López de Prado, Marcos; Zhu, Qiji Jim
4
2014
Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124
Bailey, David H.; Borwein, J. M.
4
2018
Computer-assisted discovery and proof. Zbl 1159.68548
Bailey, David H.; Borwein, Jonathan M.
4
2008
Using Strassen’s algorithm to accelerate the solution of linear systems. Zbl 1215.65049
Bailey, David H.; Lee, King; Simon, Horst D.
3
1991
Exploratory experimentation and computation. Zbl 1247.00010
Bailey, David H.; Borwein, Jonathan M.
3
2011
Experimental mathematics and mathematical physics. Zbl 1221.82006
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim
3
2010
Pi: the next generation. A sourcebook on the recent history of pi and its computation. Zbl 1342.01042
Bailey, David H.; Borwein, Jonathan M.
3
2016
Crandall’s computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series. Zbl 1410.33013
Bailey, D. H.; Borwein, J. M.
3
2015
Computer discovery and analysis of large Poisson polynomials. Zbl 1426.11134
Bailey, David H.; Borwein, Jonathan M.; Kimberley, Jason S.; Ladd, Watson
3
2017
Normal numbers and pseudorandom generators. Zbl 1310.11078
Bailey, David H.; Borwein, Jonathan M.
3
2013
Pi day is upon us again and we still do not know if pi is normal. Zbl 1300.00005
Bailey, David H.; Borwein, Jonathan
2
2014
High-precision arithmetic in mathematical physics. Zbl 1318.65025
Bailey, David H.; Borwein, Jonathan M.
2
2015
Thickness-shear and flexural vibrations of linearly contoured crystal strips with multiprecision computation. Zbl 0982.74512
Wang, Ji; Lee, P. C. Y.; Bailey, D. H.
2
1999
Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133
Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen
2
2017
Experimental mathematics in the society of the future. Zbl 1353.01023
Bailey, David H.; Borwein, Jonathan M.
1
2016
Performance tuning of scientific applications. Zbl 1208.68015
1
2011
A high-performance fast Fourier transform algorithm for the Cray-2. Zbl 1215.65002
Bailey, David H.
1
1987
Automated simplification of large symbolic expressions. Zbl 1310.68259
Bailey, David H.; Borwein, Jonathan M.; Kaiser, Alexander D.
1
2014
Ancient Indian square roots: an exercise in forensic paleo-mathematics. Zbl 1264.01007
Bailey, David H.; Borwein, Jonathan M.
1
2012
Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. Zbl 1276.00018
1
2013
Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124
Bailey, David H.; Borwein, J. M.
4
2018
Computer discovery and analysis of large Poisson polynomials. Zbl 1426.11134
Bailey, David H.; Borwein, Jonathan M.; Kimberley, Jason S.; Ladd, Watson
3
2017
Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133
Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen
2
2017
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Zbl 1331.11065
Bailey, D. H.; Borwein, J. M.
10
2016
Pi: the next generation. A sourcebook on the recent history of pi and its computation. Zbl 1342.01042
Bailey, David H.; Borwein, Jonathan M.
3
2016
Experimental mathematics in the society of the future. Zbl 1353.01023
Bailey, David H.; Borwein, Jonathan M.
1
2016
On Eulerian log-gamma integrals and Tornheim-Witten zeta functions. Zbl 1382.11068
Bailey, David H.; Borwein, David; Borwein, Jonathan M.
9
2015
Computation and theory of Mordell-Tornheim-Witten sums. II. Zbl 1326.11050
Bailey, D. H.; Borwein, J. M.
5
2015
Crandall’s computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series. Zbl 1410.33013
Bailey, D. H.; Borwein, J. M.
3
2015
High-precision arithmetic in mathematical physics. Zbl 1318.65025
Bailey, David H.; Borwein, Jonathan M.
2
2015
Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
16
2014
Pseudo-mathematics and financial charlatanism: the effects of backtest overfitting on out-of-sample performance. Zbl 1338.91157
Bailey, David H.; Borwein, Jonathan M.; López de Prado, Marcos; Zhu, Qiji Jim
4
2014
Pi day is upon us again and we still do not know if pi is normal. Zbl 1300.00005
Bailey, David H.; Borwein, Jonathan
2
2014
Automated simplification of large symbolic expressions. Zbl 1310.68259
Bailey, David H.; Borwein, Jonathan M.; Kaiser, Alexander D.
1
2014
Lattice sums arising from the Poisson equation. Zbl 1263.11074
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.
7
2013
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
6
2013
Expectations on fractal sets. Zbl 1329.28015
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G.
5
2013
Compressed lattice sums arising from the Poisson equation. Zbl 1294.11137
Bailey, David H.; Borwein, Jonathan M.
4
2013
The computation of previously inaccessible digits of \(\pi^2\) and Catalan’s constant. Zbl 1382.11097
Bailey, David H.; Borwein, Jonathan M.; Mattingly, Andrew; Wightwick, Glenn
4
2013
Normal numbers and pseudorandom generators. Zbl 1310.11078
Bailey, David H.; Borwein, Jonathan M.
3
2013
Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. Zbl 1276.00018
1
2013
High-precision computation: mathematical physics and dynamics. Zbl 1248.65147
Bailey, D. H.; Barrio, R.; Borwein, J. M.
15
2012
An empirical approach to the normality of \(\pi\). Zbl 1281.11077
Bailey, David H.; Borwein, Jonathan M.; Calude, Cristian S.; Dinneen, Michael J.; Dumitrescu, Monica; Yee, Alex
9
2012
Nonnormality of Stoneham constants. Zbl 1336.11055
Bailey, David H.; Borwein, Jonathan M.
5
2012
Ancient Indian square roots: an exercise in forensic paleo-mathematics. Zbl 1264.01007
Bailey, David H.; Borwein, Jonathan M.
1
2012
High-precision numerical integration: progress and challenges. Zbl 1291.65070
Bailey, D. H.; Borwein, J. M.
10
2011
Exploratory experimentation and computation. Zbl 1247.00010
Bailey, David H.; Borwein, Jonathan M.
3
2011
Performance tuning of scientific applications. Zbl 1208.68015
1
2011
Advances in the theory of box integrals. Zbl 1227.11127
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
10
2010
Experimental mathematics and mathematical physics. Zbl 1221.82006
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim
3
2010
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
41
2008
Mathematics by experiment. Plausible reasoning in the 21st century. 2nd revised and updated ed. Zbl 1163.00002
Borwein, Jonathan; Bailey, David
40
2008
Computer-assisted discovery and proof. Zbl 1159.68548
Bailey, David H.; Borwein, Jonathan M.
4
2008
Experimental mathematics in action. Zbl 1127.00002
Bailey, David H.; Borwein, Jonathan M.; Calkin, Neil J.; Girgensohn, Roland; Luke, D. Russell; Moll, Victor H.
22
2007
Box integrals. Zbl 1120.65027
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
9
2007
Hypergeometric forms for Ising-class integrals. Zbl 1134.33016
Bailey, D. H.; Borwein, D.; Borwein, J. M.; Crandall, R. E.
5
2007
Experimental determination of Apéry-like identities for \(\zeta(2n+2)\). Zbl 1204.11136
Bailey, David H.; Borwein, Jonathan M.; Bradley, David M.
16
2006
Ten problems in experimental mathematics. Zbl 1153.65301
Bailey, David H.; Borwein, Jonathan M.; Kapoor, Vishaal; Weisstein, Eric W.
12
2006
Integrals of the Ising class. Zbl 1113.65023
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
11
2006
A strong hot spot theorem. Zbl 1143.11023
Bailey, David H.; Misiurewicz, Michał
7
2006
Experimental mathematics: examples, methods and implications. Zbl 1087.65127
Bailey, David H.; Borwein, Jonathan M.
14
2005
A comparison of three high-precision quadrature schemes. Zbl 1082.65028
Bailey, David H.; Jeyabalan, Karthik; Li, Xiaoye S.
14
2005
Experimentation in mathematics. Computational paths to discovery. Zbl 1083.00002
Borwein, Jonathan; Bailey, David; Girgensohn, Roland
42
2004
The SIAM 100-digit challenge. A study in high-accuracy numerical computing. With a foreword by David H. Bailey. Zbl 1060.65002
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg
40
2004
Mathematics by experiment. Plausible reasoning in the 21st century. Zbl 1083.00001
Borwein, Jonathan; Bailey, David
18
2004
On the binary expansions of algebraic numbers. Zbl 1076.11045
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl
17
2004
Design, implementation and testing of extended and mixed precision BLAS. Zbl 1070.65523
Li, Xiaoye S.; Martin, Michael C.; Thompson, Brandon J.; Tung, Teresa; Yoo, Daniel J.; Demmel, James W.; Bailey, David H.; Henry, Greg; Hida, Yozo; Iskandar, Jimmy; Kahan, William; Kang, Suh Y.; Kapur, Anil
31
2002
Random generators and normal numbers. Zbl 1165.11328
Bailey, David H.; Crandall, Richard E.
22
2002
Parallel integer relation detection: techniques and applications. Zbl 1037.11090
Bailey, David H.; Broadhurst, David J.
30
2001
On the random character of fundamental constant expansions. Zbl 1047.11073
Bailey, David H.; Crandall, Richard E.
17
2001
Experimental mathematics: recent developments and future outlook. Zbl 1047.00511
Bailey, David H.; Borwein, Jonathan M.
6
2001
Analysis of PSLQ, an integer relation finding algorithm. Zbl 0927.11055
Ferguson, Helaman R. P.; Bailey, David H.; Arno, Steve
45
1999
Thickness-shear and flexural vibrations of linearly contoured crystal strips with multiprecision computation. Zbl 0982.74512
Wang, Ji; Lee, P. C. Y.; Bailey, D. H.
2
1999
On the rapid computation of various polylogarithmic constants. Zbl 0879.11073
Bailey, David; Borwein, Peter; Plouffe, Simon
56
1997
The quest for pi. Zbl 0878.11002
Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S.
16
1997
On the Khintchin constant. Zbl 0854.11078
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
8
1997
A Fortran 90-based multiprecision system. Zbl 0883.68017
Bailey, D. H.
32
1995
Experimental evaluation of Euler sums. Zbl 0810.11076
Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland
65
1994
A fast method for the numerical evaluation of continuous Fourier and Laplace transforms. Zbl 0808.65143
Bailey, David H.; Swarztrauber, Paul N.
18
1994
Algorithm 719: Multiprecesion translation and execution of FORTRAN programs. Zbl 0889.68015
Bailey, D. H.
25
1993
The fractional Fourier transform and applications. Zbl 0734.65104
Bailey, David H.; Swarztrauber, Paul N.
32
1991
Using Strassen’s algorithm to accelerate the solution of linear systems. Zbl 1215.65049
Bailey, David H.; Lee, King; Simon, Horst D.
3
1991
Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi. Zbl 0672.10017
Borwein, J. M.; Borwein, P. B.; Bailey, D. H.
32
1989
Extra high speed matrix multiplication on the Cray-2. Zbl 0644.65030
Bailey, David H.
13
1988
The computation of \(\pi\) to 29,360,000 decimal digits using Borweins’ quartically convergent algorithm. Zbl 0641.10002
Bailey, David H.
10
1988
Numerical results on the transcendence of constants involving \(\pi\), \(e\), and Euler’s constant. Zbl 0646.10002
Bailey, David H.
6
1988
A high-performance fast Fourier transform algorithm for the Cray-2. Zbl 1215.65002
Bailey, David H.
1
1987
all top 5

Cited by 812 Authors

44 Borwein, Jonathan Michael
33 Bailey, David Harold
27 Xu, Ce
15 Crandall, Richard E.
12 Sofo, Anthony
8 Ogita, Takeshi
8 Straub, Armin
7 Pan, Victor Yakovlevich
6 Barrio, Roberto
6 Cheng, Lizhi
6 Chu, Wenchang
6 Jiang, Hao
5 Adams, Luise
5 Bogner, Christian
5 Borwein, David
5 Bugeaud, Yann
5 Coffey, Mark William
5 Graillat, Stef
5 Moll, Victor Hugo
5 Srivastava, Hari Mohan
5 Trong, Dang Duc
5 Vandehey, Joseph
5 Weinzierl, Stefan
5 Zhou, Yajun
4 Adamczewski, Boris
4 Agarwal, Ravi P.
4 Borwein, Peter Benjamin
4 Bradley, David M.
4 Broadhurst, David John
4 Choi, Junesang
4 Cooper, Shaun
4 Dilcher, Karl
4 Oishi, Shin’ichi
4 Qian, Guoliang
4 Rivoal, Tanguy
4 Rump, Siegfried Michael
4 Sen, Syamal Kumar
4 Takahashi, Daisuke A.
4 Wan, James Gu Feng
4 Wei, Chuanan
4 Zudilin, Wadim
3 Aishima, Kensuke
3 Bandt, Christoph
3 Becher, Verónica
3 Blesa, Fernando
3 Brent, Richard Peirce
3 Chamberland, Marc
3 Du, Peibing
3 Grau-Sánchez, Miquel
3 Guillera, Jesús
3 Hai, Dinh Nguyen Duy
3 Hessami Pilehrood, Khodabakhsh
3 Hessami Pilehrood, Tatiana
3 Johansson, Fredrik
3 Kaneko, Hajime
3 Kotsireas, Ilias S.
3 Langlois, Philippe
3 Luthe, Thomas
3 Maier, Andreas
3 Marquard, Peter
3 Murphy, Brian J.
3 Rosholt, Rhys Eric
3 Schröder, York
3 Si, Xin
3 Smirnov, Aleksandr Vladimirovich
3 Smirnov, Vladimir A.
3 Vanhove, Pierre
3 Viet, Tran Quoc
3 Ye, Dongxi
3 Zhang, Mingyu
3 Zucker, I. John
2 Aguilar, Juan C.
2 Ai, Zhiyong
2 Alzer, Horst
2 Aragón Artacho, Francisco Javier
2 Baruah, Nayandeep Deka
2 Bercu, Gabriel
2 Bergelson, Vitaly
2 Berndt, Bruce Carl
2 Bloch, Spencer J.
2 Blümlein, Johannes
2 Bowman, John C.
2 Brandén, Henrik
2 Caflisch, Russel E.
2 Calude, Cristian S.
2 Celiker, Fatih
2 Chan, Heng Huat
2 Chan, O-Yeat
2 Chen, Jingwei
2 Chen, Yu
2 Chountasis, Spiros
2 Cockburn, Bernardo
2 Cools, Ronald
2 Corless, Robert Malcolm
2 Espinosa, Olivier
2 Feng, Yong
2 Ferguson, Helaman
2 Figueira, Santiago
2 Fornberg, Bengt
2 Franklin, James
...and 712 more Authors
all top 5

Cited in 219 Serials

27 The Ramanujan Journal
23 Journal of Computational and Applied Mathematics
22 Mathematics of Computation
21 Applied Mathematics and Computation
21 Experimental Mathematics
19 Journal of High Energy Physics
16 Journal of Number Theory
14 Computers & Mathematics with Applications
11 American Mathematical Monthly
11 Journal of Mathematical Analysis and Applications
11 Journal of Symbolic Computation
8 Journal of Mathematical Physics
8 International Journal of Number Theory
7 Computer Physics Communications
7 The Mathematical Intelligencer
7 Proceedings of the American Mathematical Society
7 Integral Transforms and Special Functions
6 Theoretical Computer Science
6 Journal of Scientific Computing
6 Linear Algebra and its Applications
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Journal of the Australian Mathematical Society
5 SIAM Journal on Scientific Computing
4 Journal of Computational Physics
4 Nuclear Physics. B
4 Functiones et Approximatio. Commentarii Mathematici
4 Transactions of the American Mathematical Society
4 Advances in Applied Mathematics
4 The Journal of Supercomputing
4 Numerical Algorithms
3 Acta Arithmetica
3 Advances in Mathematics
3 Computing
3 Journal of Approximation Theory
3 Physica D
3 Information and Computation
3 Applied Mathematics Letters
3 Japan Journal of Industrial and Applied Mathematics
3 Applied Mathematical Modelling
3 International Journal of Computer Mathematics
3 Applied and Computational Harmonic Analysis
3 Engineering Analysis with Boundary Elements
3 Journal of Difference Equations and Applications
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Quantitative Finance
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Bulletin of the Australian Mathematical Society
2 Journal of the Franklin Institute
2 The Mathematical Gazette
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 BIT
2 Journal of Optimization Theory and Applications
2 Mathematische Nachrichten
2 Mathematica Slovaca
2 Monatshefte für Mathematik
2 Numerische Mathematik
2 Results in Mathematics
2 Ergodic Theory and Dynamical Systems
2 Revista Matemática Iberoamericana
2 Signal Processing
2 The Annals of Applied Probability
2 Parallel Algorithms and Applications
2 Journal of Inequalities and Applications
2 Erkenntnis
2 Communications of the Korean Mathematical Society
2 Advances in Difference Equations
2 Journal of Physics A: Mathematical and Theoretical
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Sankhyā. Series B
2 Actes des Rencontres du C.I.R.M.
1 International Journal of Modern Physics A
1 Acta Mechanica
1 Analysis Mathematica
1 Artificial Intelligence
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 International Journal of Control
1 International Journal of Engineering Science
1 Indian Journal of Pure & Applied Mathematics
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Lithuanian Mathematical Journal
1 Periodica Mathematica Hungarica
1 Physics Letters. A
1 Physics Letters. B
1 Problems of Information Transmission
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Chaos, Solitons and Fractals
1 Mathematics Magazine
1 ACM Transactions on Mathematical Software
1 Acta Mathematica
...and 119 more Serials
all top 5

Cited in 54 Fields

249 Number theory (11-XX)
162 Numerical analysis (65-XX)
119 Special functions (33-XX)
58 Computer science (68-XX)
51 Quantum theory (81-XX)
44 Combinatorics (05-XX)
31 Sequences, series, summability (40-XX)
30 Probability theory and stochastic processes (60-XX)
28 Approximations and expansions (41-XX)
27 Dynamical systems and ergodic theory (37-XX)
22 Statistics (62-XX)
21 Real functions (26-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
17 Partial differential equations (35-XX)
15 General and overarching topics; collections (00-XX)
13 History and biography (01-XX)
12 Algebraic geometry (14-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Measure and integration (28-XX)
10 Operator theory (47-XX)
10 Mechanics of deformable solids (74-XX)
10 Operations research, mathematical programming (90-XX)
10 Information and communication theory, circuits (94-XX)
9 Mathematical logic and foundations (03-XX)
9 Fluid mechanics (76-XX)
8 Functions of a complex variable (30-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Mathematics education (97-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Integral transforms, operational calculus (44-XX)
5 Differential geometry (53-XX)
4 Field theory and polynomials (12-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Ordinary differential equations (34-XX)
4 Functional analysis (46-XX)
4 Biology and other natural sciences (92-XX)
4 Systems theory; control (93-XX)
3 Group theory and generalizations (20-XX)
3 Geometry (51-XX)
3 Convex and discrete geometry (52-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
3 Relativity and gravitational theory (83-XX)
2 Commutative algebra (13-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Manifolds and cell complexes (57-XX)
1 Geophysics (86-XX)

Citations by Year

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