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Bailey, David Harold

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
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 Glasser, M. Lawrence
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, David 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

69 Publications have been cited 1,057 times in 700 Documents Cited by Year
Experimental evaluation of Euler sums. Zbl 0810.11076
Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland
73
1994
Analysis of PSLQ, an integer relation finding algorithm. Zbl 0927.11055
Ferguson, Helaman R. P.; Bailey, David H.; Arno, Steve
65
1999
On the rapid computation of various polylogarithmic constants. Zbl 0879.11073
Bailey, David; Borwein, Peter; Plouffe, Simon
64
1997
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
55
2008
Experimentation in mathematics. Computational paths to discovery. Zbl 1083.00002
Borwein, Jonathan; Bailey, David; Girgensohn, Roland
49
2004
Mathematics by experiment. Plausible reasoning in the 21st century. 2nd revised and updated ed. Zbl 1163.00002
Borwein, Jonathan; Bailey, David
48
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
44
2004
The fractional Fourier transform and applications. Zbl 0734.65104
Bailey, David H.; Swarztrauber, Paul N.
39
1991
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
38
2002
Parallel integer relation detection: techniques and applications. Zbl 1037.11090
Bailey, David H.; Broadhurst, David J.
36
2001
A Fortran 90-based multiprecision system. Zbl 0883.68017
Bailey, D. H.
35
1995
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.
34
1989
Experimental mathematics in action. Zbl 1127.00002
Bailey, David H.; Borwein, Jonathan M.; Calkin, Neil J.; Girgensohn, Roland; Luke, D. Russell; Moll, Victor H.
27
2007
Random generators and normal numbers. Zbl 1165.11328
Bailey, David H.; Crandall, Richard E.
27
2002
Algorithm 719: Multiprecesion translation and execution of FORTRAN programs. Zbl 0889.68015
Bailey, D. H.
26
1993
High-precision computation: mathematical physics and dynamics. Zbl 1248.65147
Bailey, D. H.; Barrio, R.; Borwein, J. M.
23
2012
A fast method for the numerical evaluation of continuous Fourier and Laplace transforms. Zbl 0808.65143
Bailey, David H.; Swarztrauber, Paul N.
21
1994
Mathematics by experiment. Plausible reasoning in the 21st century. Zbl 1083.00001
Borwein, Jonathan; Bailey, David
21
2004
On the random character of fundamental constant expansions. Zbl 1047.11073
Bailey, David H.; Crandall, Richard E.
19
2001
The quest for pi. Zbl 0878.11002
Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S.
19
1997
Experimental determination of Apéry-like identities for \(\zeta(2n+2)\). Zbl 1204.11136
Bailey, David H.; Borwein, Jonathan M.; Bradley, David M.
19
2006
On the binary expansions of algebraic numbers. Zbl 1076.11045
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl
19
2004
A comparison of three high-precision quadrature schemes. Zbl 1082.65028
Bailey, David H.; Jeyabalan, Karthik; Li, Xiaoye S.
18
2005
Experimental mathematics: examples, methods and implications. Zbl 1087.65127
Bailey, David H.; Borwein, Jonathan M.
17
2005
Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
17
2014
Ten problems in experimental mathematics. Zbl 1153.65301
Bailey, David H.; Borwein, Jonathan M.; Kapoor, Vishaal; Weisstein, Eric W.
14
2006
Integrals of the Ising class. Zbl 1113.65023
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
13
2006
Extra high speed matrix multiplication on the Cray-2. Zbl 0644.65030
Bailey, David H.
13
1988
High-precision numerical integration: progress and challenges. Zbl 1291.65070
Bailey, D. H.; Borwein, J. M.
12
2011
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Zbl 1331.11065
Bailey, D. H.; Borwein, J. M.
11
2016
The computation of \(\pi\) to 29,360,000 decimal digits using Borweins’ quartically convergent algorithm. Zbl 0641.10002
Bailey, David H.
11
1988
Advances in the theory of box integrals. Zbl 1227.11127
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
10
2010
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
10
2012
On Eulerian log-gamma integrals and Tornheim-Witten zeta functions. Zbl 1382.11068
Bailey, David H.; Borwein, David; Borwein, Jonathan M.
9
2015
On the Khintchin constant. Zbl 0854.11078
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
9
1997
Box integrals. Zbl 1120.65027
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
9
2007
A strong hot spot theorem. Zbl 1143.11023
Bailey, David H.; Misiurewicz, Michał
8
2006
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
7
2013
Lattice sums arising from the Poisson equation. Zbl 1263.11074
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.
7
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
7
2014
Computation and theory of Mordell-Tornheim-Witten sums. II. Zbl 1326.11050
Bailey, D. H.; Borwein, J. M.
6
2015
High-precision arithmetic in mathematical physics. Zbl 1318.65025
Bailey, David H.; Borwein, Jonathan M.
6
2015
Experimental mathematics: recent developments and future outlook. Zbl 1047.00511
Bailey, David H.; Borwein, Jonathan M.
6
2001
Numerical results on the transcendence of constants involving \(\pi\), \(e\), and Euler’s constant. Zbl 0646.10002
Bailey, David H.
6
1988
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
Experimental mathematics and mathematical physics. Zbl 1221.82006
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim
5
2010
Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124
Bailey, David H.; Borwein, J. M.
5
2018
Nonnormality of Stoneham constants. Zbl 1336.11055
Bailey, David H.; Borwein, Jonathan M.
5
2012
Computer discovery and analysis of large Poisson polynomials. Zbl 1426.11134
Bailey, David H.; Borwein, Jonathan M.; Kimberley, Jason S.; Ladd, Watson
5
2017
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.
4
2013
Exploratory experimentation and computation. Zbl 1247.00010
Bailey, David H.; Borwein, Jonathan M.
4
2011
Computer-assisted discovery and proof. Zbl 1159.68548
Bailey, David H.; Borwein, Jonathan M.
4
2008
Compressed lattice sums arising from the Poisson equation. Zbl 1294.11137
Bailey, David H.; Borwein, Jonathan M.
4
2013
Using Strassen’s algorithm to accelerate the solution of linear systems. Zbl 1215.65049
Bailey, David H.; Lee, King; Simon, Horst D.
3
1991
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
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
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
3
2017
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
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
A high-performance fast Fourier transform algorithm for the Cray-2. Zbl 1215.65002
Bailey, David H.
1
1987
Recognizing numerical constants. Zbl 0898.11049
Bailey, David H.; Plouffe, Simon
1
1997
Finding new mathematical identities with supercomputers. Zbl 0848.11063
Bailey, D. H.; Borwein, J. M.; Girgensohn, R.
1
1995
Performance tuning of scientific applications. Zbl 1208.68015
1
2011
Experimental mathematics in the society of the future. Zbl 1353.01023
Bailey, David H.; Borwein, Jonathan M.
1
2016
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
Automated simplification of large symbolic expressions. Zbl 1310.68259
Bailey, David H.; Borwein, Jonathan M.; Kaiser, Alexander D.
1
2014
Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124
Bailey, David H.; Borwein, J. M.
5
2018
Computer discovery and analysis of large Poisson polynomials. Zbl 1426.11134
Bailey, David H.; Borwein, Jonathan M.; Kimberley, Jason S.; Ladd, Watson
5
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
3
2017
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Zbl 1331.11065
Bailey, D. H.; Borwein, J. M.
11
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.
6
2015
High-precision arithmetic in mathematical physics. Zbl 1318.65025
Bailey, David H.; Borwein, Jonathan M.
6
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
Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
17
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
7
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
Walking on real numbers. Zbl 1282.11088
Aragón Artacho, Francisco J.; Bailey, David H.; Borwein, Jonathan M.; Borwein, Peter B.
7
2013
Lattice sums arising from the Poisson equation. Zbl 1263.11074
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.
7
2013
Expectations on fractal sets. Zbl 1329.28015
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G.
5
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.
4
2013
Compressed lattice sums arising from the Poisson equation. Zbl 1294.11137
Bailey, David H.; Borwein, Jonathan M.
4
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.
23
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
10
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.
12
2011
Exploratory experimentation and computation. Zbl 1247.00010
Bailey, David H.; Borwein, Jonathan M.
4
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
5
2010
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
55
2008
Mathematics by experiment. Plausible reasoning in the 21st century. 2nd revised and updated ed. Zbl 1163.00002
Borwein, Jonathan; Bailey, David
48
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.
27
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.
19
2006
Ten problems in experimental mathematics. Zbl 1153.65301
Bailey, David H.; Borwein, Jonathan M.; Kapoor, Vishaal; Weisstein, Eric W.
14
2006
Integrals of the Ising class. Zbl 1113.65023
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
13
2006
A strong hot spot theorem. Zbl 1143.11023
Bailey, David H.; Misiurewicz, Michał
8
2006
A comparison of three high-precision quadrature schemes. Zbl 1082.65028
Bailey, David H.; Jeyabalan, Karthik; Li, Xiaoye S.
18
2005
Experimental mathematics: examples, methods and implications. Zbl 1087.65127
Bailey, David H.; Borwein, Jonathan M.
17
2005
Experimentation in mathematics. Computational paths to discovery. Zbl 1083.00002
Borwein, Jonathan; Bailey, David; Girgensohn, Roland
49
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
44
2004
Mathematics by experiment. Plausible reasoning in the 21st century. Zbl 1083.00001
Borwein, Jonathan; Bailey, David
21
2004
On the binary expansions of algebraic numbers. Zbl 1076.11045
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl
19
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
38
2002
Random generators and normal numbers. Zbl 1165.11328
Bailey, David H.; Crandall, Richard E.
27
2002
Parallel integer relation detection: techniques and applications. Zbl 1037.11090
Bailey, David H.; Broadhurst, David J.
36
2001
On the random character of fundamental constant expansions. Zbl 1047.11073
Bailey, David H.; Crandall, Richard E.
19
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
65
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
64
1997
The quest for pi. Zbl 0878.11002
Bailey, D. H.; Borwein, J. M.; Borwein, P. B.; Plouffe, S.
19
1997
On the Khintchin constant. Zbl 0854.11078
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
9
1997
Recognizing numerical constants. Zbl 0898.11049
Bailey, David H.; Plouffe, Simon
1
1997
A Fortran 90-based multiprecision system. Zbl 0883.68017
Bailey, D. H.
35
1995
Finding new mathematical identities with supercomputers. Zbl 0848.11063
Bailey, D. H.; Borwein, J. M.; Girgensohn, R.
1
1995
Experimental evaluation of Euler sums. Zbl 0810.11076
Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland
73
1994
A fast method for the numerical evaluation of continuous Fourier and Laplace transforms. Zbl 0808.65143
Bailey, David H.; Swarztrauber, Paul N.
21
1994
Algorithm 719: Multiprecesion translation and execution of FORTRAN programs. Zbl 0889.68015
Bailey, D. H.
26
1993
The fractional Fourier transform and applications. Zbl 0734.65104
Bailey, David H.; Swarztrauber, Paul N.
39
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.
34
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.
11
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 1,005 Authors

45 Borwein, Jonathan Michael
34 Bailey, David Harold
30 Xu, Ce
15 Crandall, Richard E.
15 Sofo, Anthony
9 Barrio, Roberto
9 Jiang, Hao
8 Chu, Wenchang
8 Ogita, Takeshi
8 Straub, Armin
8 Weinzierl, Stefan
7 Pan, Victor Yakovlevich
7 Smirnov, Vladimir A.
6 Bogner, Christian
6 Cheng, Lizhi
6 Graillat, Stef
6 Lee, Roman N.
6 Trong, Dang Duc
6 Zhou, Yajun
5 Adams, Luise
5 Borwein, David
5 Borwein, Peter Benjamin
5 Broadhurst, David John
5 Bugeaud, Yann
5 Choi, Junesang
5 Coffey, Mark William
5 Du, Peibing
5 Moll, Victor Hugo
5 Rump, Siegfried Michael
5 Smirnov, Aleksandr Vladimirovich
5 Srivastava, Hari Mohan
5 Takahashi, Daisuke A.
5 Vandehey, Joseph
4 Adamczewski, Boris
4 Agarwal, Ravi P.
4 Bradley, David M.
4 Chamberland, Marc
4 Cooper, Shaun
4 Dilcher, Karl
4 Guillera, Jesús
4 Johansson, Fredrik
4 Oishi, Shin’ichi
4 Qian, Guoliang
4 Rivoal, Tanguy
4 Sen, Syamal Kumar
4 Viet, Tran Quoc
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 Grau-Sánchez, Miquel
3 Hai, Dinh Nguyen Duy
3 Hessami Pilehrood, Khodabakhsh
3 Hessami Pilehrood, Tatiana
3 Kaneko, Hajime
3 Kotsireas, Ilias S.
3 Kuznetsov, Sergey V.
3 Langlois, Philippe
3 Luthe, Thomas
3 Maier, Andreas
3 Marquard, Peter
3 Muller, Jean-Michel
3 Murphy, Brian J.
3 Qi, Feng
3 Rosholt, Rhys Eric
3 Schröder, York
3 Si, Xin
3 Stewart, Seán Mark
3 Vanhove, Pierre
3 Ye, Dongxi
3 Zhang, Mingyu
3 Zucker, I. John
2 Adegoke, Kunle
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 Boldo, Sylvie
2 Bowman, John C.
2 Brandén, Henrik
2 Caflisch, Russel E.
2 Calude, Cristian S.
2 Campbell, John Maxwell
2 Celiker, Fatih
2 Chan, Heng Huat
2 Chan, O-Yeat
2 Chen, Jingwei
2 Chen, Yu
2 Chicherin, Dmitry
2 Chountasis, Spiros
...and 905 more Authors
all top 5

Cited in 251 Serials

35 Journal of High Energy Physics
29 The Ramanujan Journal
25 Journal of Computational and Applied Mathematics
24 Applied Mathematics and Computation
22 Mathematics of Computation
22 Experimental Mathematics
18 Journal of Number Theory
15 Journal of Mathematical Analysis and Applications
14 Computers & Mathematics with Applications
12 American Mathematical Monthly
11 Journal of Symbolic Computation
9 Computer Physics Communications
9 The Mathematical Intelligencer
8 Journal of Mathematical Physics
8 Nuclear Physics. B
8 International Journal of Number Theory
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 SIAM Journal on Scientific Computing
6 Journal of the Australian Mathematical Society
4 Journal of Computational Physics
4 Functiones et Approximatio. Commentarii Mathematici
4 Transactions of the American Mathematical Society
4 Advances in Applied Mathematics
4 Physica D
4 The Journal of Supercomputing
4 Numerical Algorithms
4 International Journal of Computer Mathematics
4 Journal of Difference Equations and Applications
4 Journal of Integer Sequences
3 Rocky Mountain Journal of Mathematics
3 ACM Transactions on Mathematical Software
3 Acta Arithmetica
3 Advances in Mathematics
3 Computing
3 Journal of Approximation Theory
3 Mathematica Slovaca
3 Monatshefte für Mathematik
3 Information and Computation
3 Applied Mathematics Letters
3 Japan Journal of Industrial and Applied Mathematics
3 Applied Mathematical Modelling
3 Applied and Computational Harmonic Analysis
3 Engineering Analysis with Boundary Elements
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
3 Advances in Difference Equations
3 Journal of Physics A: Mathematical and Theoretical
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 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 BIT
2 Journal of Optimization Theory and Applications
2 Mathematische Nachrichten
2 Numerische Mathematik
2 Results in Mathematics
2 Ergodic Theory and Dynamical Systems
2 Applied Numerical Mathematics
2 Revista Matemática Iberoamericana
2 Computers & Operations Research
2 Journal of Automated Reasoning
2 Signal Processing
2 The Annals of Applied Probability
2 Communications in Statistics. Theory and Methods
2 Elemente der Mathematik
2 Advances in Computational Mathematics
2 Parallel Algorithms and Applications
2 Journal of Inequalities and Applications
2 Erkenntnis
2 Communications of the Korean Mathematical Society
2 Integers
2 Acta Numerica
2 Scientia. Series A: Mathematical Sciences. New Series
2 Applicable Analysis and Discrete Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Sankhyā. Series B
2 Journal of Classical Analysis
2 Actes des Rencontres du C.I.R.M.
2 AIMS Mathematics
1 International Journal of Modern Physics A
1 Acta Mechanica
1 Analysis Mathematica
1 Artificial Intelligence
1 Archive for Rational Mechanics and Analysis
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 International Journal of Control
1 International Journal of Engineering Science
...and 151 more Serials
all top 5

Cited in 56 Fields

296 Number theory (11-XX)
190 Numerical analysis (65-XX)
137 Special functions (33-XX)
75 Quantum theory (81-XX)
70 Computer science (68-XX)
50 Combinatorics (05-XX)
34 Sequences, series, summability (40-XX)
32 Approximations and expansions (41-XX)
31 Probability theory and stochastic processes (60-XX)
29 Real functions (26-XX)
28 Dynamical systems and ergodic theory (37-XX)
25 Statistics (62-XX)
22 Partial differential equations (35-XX)
20 Algebraic geometry (14-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
17 General and overarching topics; collections (00-XX)
15 History and biography (01-XX)
14 Measure and integration (28-XX)
13 Information and communication theory, circuits (94-XX)
12 Fluid mechanics (76-XX)
12 Operations research, mathematical programming (90-XX)
11 Mathematical logic and foundations (03-XX)
11 Mechanics of deformable solids (74-XX)
10 Functions of a complex variable (30-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Operator theory (47-XX)
8 Mathematics education (97-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Integral transforms, operational calculus (44-XX)
6 Differential geometry (53-XX)
6 Relativity and gravitational theory (83-XX)
5 Field theory and polynomials (12-XX)
5 Biology and other natural sciences (92-XX)
5 Systems theory; control (93-XX)
4 Ordinary differential equations (34-XX)
4 Functional analysis (46-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Several complex variables and analytic spaces (32-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)
2 Potential theory (31-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 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

Citations by Year

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