Jonathan M. Borwein

ORCID

Publication Activity (10 Years)

Years Active: 1976-2018
Publications (10 Years): 12

Top Venues

Am. Math. Mon.

Exp. Math.

J. Optim. Theory Appl.

Appl. Math. Comput.

Publications

Jonathan M. Borwein, Ohad Giladi
Convex analysis in groups and semigroups: a sampler. Math. Program. 168 (1-2) (2018)
Jonathan M. Borwein, Robert M. Corless
Gamma and Factorial in the Monthly. Am. Math. Mon. 125 (5) (2018)
David H. Bailey, Jonathan M. Borwein
Computation and Experimental Evaluation of Mordell-Tornheim-Witten Sum Derivatives. Exp. Math. 27 (3) (2018)
David H. Bailey, Jonathan M. Borwein, Richard P. Brent, Mohsen Reisi
Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi. Exp. Math. 26 (3) (2017)
David H. Bailey, Jonathan M. Borwein, Jason S. Kimberley, Watson Ladd
Computer Discovery and Analysis of Large Poisson Polynomials. Exp. Math. 26 (3) (2017)
Jonathan M. Borwein, Kevin G. Hare, Jason G. Lynch
Generalized Continued Logarithms and Related Continued Fractions. J. Integer Seq. 20 (5) (2017)
Jonathan M. Borwein, Neil J. Calkin, Scott B. Lindstrom, Andrew Mattingly
Continued Logarithms and Associated Continued Fractions. Exp. Math. 26 (4) (2017)
Jonathan M. Borwein, Guoyin Li, Matthew K. Tam
Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems. SIAM J. Optim. 27 (1) (2017)
Jonathan M. Borwein, Joydeep Dutta
Maximal Monotone Inclusions and Fitzpatrick Functions. J. Optim. Theory Appl. 171 (3) (2016)
Jonathan M. Borwein, Qiji J. Zhu
A Variational Approach to Lagrange Multipliers. J. Optim. Theory Appl. 171 (3) (2016)
Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam
Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem. J. Glob. Optim. 65 (2) (2016)
David H. Bailey, Jonathan M. Borwein
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. Math. Comput. 85 (297) (2016)
Jonathan M. Borwein, Scott T. Chapman
I Prefer Pi: Addenda. Am. Math. Mon. 122 (8) (2015)
David H. Bailey, Jonathan M. Borwein
Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series. Appl. Math. Comput. 268 (2015)
David H. Bailey, Jonathan M. Borwein
Computation and theory of Mordell-Tornheim-Witten sums II. J. Approx. Theory 197 (2015)
Jonathan M. Borwein, Scott T. Chapman
I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly. Am. Math. Mon. 122 (3) (2015)
Jonathan M. Borwein, Armin Straub
Relations for Nielsen polylogarithms. J. Approx. Theory 193 (2015)
David Borwein, Jonathan M. Borwein, Brailey Sims
On the Solution of Linear Mean Recurrences. Am. Math. Mon. 121 (6) (2014)
Francisco J. Aragón Artacho, Jonathan M. Borwein, Victoria Martín-Márquez, Liangjin Yao
Applications of convex analysis within mathematics. Math. Program. 148 (1-2) (2014)
David H. Bailey, Jonathan M. Borwein, Alexander D. Kaiser
Automated simplification of large symbolic expressions. J. Symb. Comput. 60 (2014)
Jonathan M. Borwein, Matthew K. Tam
A Cyclic Douglas-Rachford Iteration Scheme. J. Optim. Theory Appl. 160 (1) (2014)
Jonathan M. Borwein, Liangjin Yao
Some results on the convexity of the closure of the domain of a maximally monotone operator. Optim. Lett. 8 (1) (2014)
David H. Bailey, Jonathan M. Borwein, Richard E. Crandall
Computation and theory of extended Mordell-Tornheim-Witten sums. Math. Comput. 83 (288) (2014)
Jonathan M. Borwein, Phil G. Howlett, Julia Piantadosi
Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy. Entropy 16 (2) (2014)
David Borwein, Jonathan M. Borwein
Deriving New Sinc Results from Old. Am. Math. Mon. 121 (8) (2014)
Doug James, Nancy Wilkins-Diehr, Victoria Stodden, Dirk Colbry, Carlos Rosales, Mark R. Fahey, Justin Shi, Rafael Ferreira da Silva, Kyo Lee, Ralph Roskies, Laurence Loewe, Susan Lindsey, Rob Kooper, Lorena A. Barba, David H. Bailey, Jonathan M. Borwein, Óscar Corcho, Ewa Deelman, Michael C. Dietze, Benjamin Gilbert, Jan Harkes, Seth Keele, Praveen Kumar, Jong Lee, Erika Linke, Richard Marciano, Luigi Marini, Chris Mattmann, Dave Mattson, Kenton McHenry, Robert T. McLay, Sheila Miguez, Barbara S. Minsker, María S. Pérez-Hernández, Dan Ryan, Mats Rynge, Idafen Santana-Pérez, Mahadev Satyanarayanan, Gloriana St. Clair, Keith Webster, Eivind Hovig, Daniel S. Katz, Sophie Kay, Geir Kjetil Sandve, David Skinner, Gabrielle Allen, John Cazes, Kym Won Cho, Jim Fonseca, Lorraine J. Hwang, Lars Koesterke, Pragnesh Patel, Line Pouchard, Edward Seidel, Isuru Suriarachchi
Standing Together for Reproducibility in Large-Scale Computing: Report on reproducibility@XSEDE. CoRR (2014)
Jonathan M. Borwein
Experimental Computation and Visual Theorems. ICMS (2014)
David H. Bailey, Jonathan M. Borwein
Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal. Am. Math. Mon. 121 (3) (2014)
Jonathan M. Borwein, Guoyin Li, Liangjin Yao
Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets. SIAM J. Optim. 24 (1) (2014)
Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam
Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems. J. Optim. Theory Appl. 163 (1) (2014)
Jonathan M. Borwein, Armin Straub, James G. Wan
Three-Step and Four-Step Random Walk Integrals. Exp. Math. 22 (1) (2013)
Jonathan M. Borwein, Liangjin Yao
Structure Theory for Maximally Monotone Operators with Points of Continuity. J. Optim. Theory Appl. 157 (1) (2013)
Jonathan M. Borwein, Armin Straub
Mahler measures, short walks and log-sine integrals. Theor. Comput. Sci. 479 (2013)
Francisco J. Aragón Artacho, Jonathan M. Borwein
Global convergence of a non-convex Douglas-Rachford iteration. J. Glob. Optim. 57 (3) (2013)
David H. Bailey, Jonathan M. Borwein, Richard E. Crandall, Michael G. Rose
Expectations on fractal sets. Appl. Math. Comput. 220 (2013)
David H. Bailey, Jonathan M. Borwein
Hand-to-hand combat with thousand-digit integrals. J. Comput. Sci. 3 (3) (2012)
David Borwein, Jonathan M. Borwein, Armin Straub, James G. Wan
Log-Sine Evaluations of Mahler Measures, II. Integers (2012)
David H. Bailey, Roberto Barrio, Jonathan M. Borwein
High-precision computation: Mathematical physics and dynamics. Appl. Math. Comput. 218 (20) (2012)
David H. Bailey, Jonathan M. Borwein
Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics. Am. Math. Mon. 119 (8) (2012)
Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao
Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. Optim. Lett. 6 (8) (2012)
David Borwein, Jonathan M. Borwein, Armin Straub
A Sinc that Sank. Am. Math. Mon. 119 (7) (2012)
David H. Bailey, Jonathan M. Borwein, Cristian S. Calude, Michael J. Dinneen, Monica Dumitrescu, Alex Yee
An Empirical Approach to the Normality of π. Exp. Math. 21 (4) (2012)
Julia Piantadosi, Phil G. Howlett, Jonathan M. Borwein
Copulas with maximum entropy. Optim. Lett. 6 (1) (2012)
David H. Bailey, Jonathan M. Borwein
High-precision numerical integration: Progress and challenges. J. Symb. Comput. 46 (7) (2011)
Jonathan M. Borwein, Armin Straub
Special Values of Generalized Log-sine Integrals CoRR (2011)
Jonathan M. Borwein, Armin Straub
Special values of generalized log-sine integrals. ISSAC (2011)
Jonathan M. Borwein
Mahler measures, short walks and log-sine integrals: a case study in hybrid computation. SNC (2011)
Jonathan M. Borwein
Fifty years of maximal monotonicity. Optim. Lett. 4 (4) (2010)
Jonathan M. Borwein, O-Yeat Chan, Richard E. Crandall
Higher-Dimensional Box Integrals. Exp. Math. 19 (4) (2010)
David H. Bailey, Jonathan M. Borwein, Richard E. Crandall
Advances in the theory of box integrals. Math. Comput. 79 (271) (2010)
David Borwein, Jonathan M. Borwein, Isaac E. Leonard
Norms and the Sinc Function. Am. Math. Mon. 117 (6) (2010)
David H. Bailey, Jonathan M. Borwein, Richard E. Crandall
Resolution of the Quinn-Rand-Strogatz Constant of Nonlinear Physics. Exp. Math. 18 (1) (2009)
Jonathan M. Borwein, Neil J. Calkin, Dante Manna
Euler-Boole Summation Revisited. Am. Math. Mon. 116 (5) (2009)
Jonathan M. Borwein, Chris H. Hamilton
Symbolic Fenchel Conjugation. Math. Program. 116 (1-2) (2009)
Jonathan M. Borwein, Bruno Salvy
A Proof of a Recurrence for Bessel Moments. Exp. Math. 17 (2) (2008)
Robert Baillie, David Borwein, Jonathan M. Borwein
Surprising Sinc Sums and Integrals. Am. Math. Mon. 115 (10) (2008)
David Borwein, Jonathan M. Borwein, Richard E. Crandall
Effective Laguerre Asymptotics. SIAM J. Numer. Anal. 46 (6) (2008)
Jonathan M. Borwein
Hilbert's Inequality and Witten's Zeta-Function. Am. Math. Mon. 115 (2) (2008)
Jonathan M. Borwein
A Class of Dirichlet Series Integrals. Am. Math. Mon. 114 (1) (2007)
Jonathan M. Borwein, Herre Wiersma
Asplund Decomposition of Monotone Operators. SIAM J. Optim. 18 (3) (2007)
Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang
Fitzpatrick Functions and Continuous Linear Monotone Operators. SIAM J. Optim. 18 (3) (2007)
Jonathan M. Borwein, Marc Chamberland
Integer Powers of Arcsin. Int. J. Math. Math. Sci. 2007 (2007)
Jonathan M. Borwein, Bruno Salvy
A Proof of a Recursion for Bessel Moments CoRR (2007)
Jonathan M. Borwein, David Langstroth, Mason S. Macklem, Scott Wilson
The Coast-to-Coast Seminar and Remote Mathematical Collaboration. HPCS (2007)
Jonathan M. Borwein
Proximality and Chebyshev sets. Optim. Lett. 1 (1) (2007)
David H. Bailey, David Borwein, Jonathan M. Borwein, Richard E. Crandall
Hypergeometric Forms for Ising-Class Integrals. Exp. Math. 16 (3) (2007)
David H. Bailey, Jonathan M. Borwein, Vishaal Kapoor, Eric W. Weisstein
Ten Problems in Experimental Mathematics. Am. Math. Mon. 113 (6) (2006)
David H. Bailey, Jonathan M. Borwein, David M. Bradley
Experimental Determination of Apéry-like Identities for ς(2n + 2). Exp. Math. 15 (3) (2006)
David H. Bailey, Jonathan M. Borwein
Effective Bounds in Euler-Maclaurin-Based Quadrature (Summary for HPCS06). HPCS (2006)
Jonathan M. Borwein, Chris H. Hamilton
Symbolic computation of multidimensional Fenchel conjugates. ISSAC (2006)
Jonathan M. Borwein, Qiji J. Zhu
Variational Methods in Convex Analysis. J. Glob. Optim. 35 (2) (2006)
Jonathan M. Borwein, Kwok-Kwong Stephen Choi, Wilfried Pigulla
Continued Fractions of Tails of Hypergeometric Series. Am. Math. Mon. 112 (6) (2005)
Jonathan M. Borwein
The Experimental Mathematician: the Pleasure of Discovery and the Role of Proof. Int. J. Comput. Math. Learn. 10 (2) (2005)
Jonathan M. Borwein, Richard E. Crandall
On the Ramanujan AGM Fraction, II: The Complex-Parameter Case. Exp. Math. 13 (3) (2004)
Jonathan M. Borwein, Richard E. Crandall, Greg Fee
On the Ramanujan AGM Fraction, I: The Real-Parameter Case. Exp. Math. 13 (3) (2004)
Melanie Kellar, Bonnie MacKay, Rui Zhang, Carolyn R. Watters, David Kaufman, Jonathan M. Borwein
Dynamic Composition of Math Lessons. J. Educ. Technol. Soc. 6 (4) (2003)
Heinz H. Bauschke, Jonathan M. Borwein, Patrick L. Combettes
Bregman Monotone Optimization Algorithms. SIAM J. Control. Optim. 42 (2) (2003)
David Borwein, Jonathan M. Borwein, Jamal Rooin
Problem 11009. Am. Math. Mon. 110 (4) (2003)
Melanie Kellar, Bonnie MacKay, Rui Zhang, Carolyn R. Watters, David Kaufman, Jonathan M. Borwein
Architecture to Support Dynamic Composition of Math Lesson Plans. SAC (2003)
Jonathan M. Borwein, Terry Stanway
Managing Digital Mathematical Discourse. MKM (2003)
Jonathan M. Borwein, Rustum Choksi, Pierre Maréchal
Probability Distributions of Assets Inferred from Option Prices via the Principle of Maximum Entropy. SIAM J. Optim. 14 (2) (2003)
Jonathan M. Borwein, M. Jiménez-Sevilla, J. P. Moreno
Antiproximinal Norms in Banach Spaces. J. Approx. Theory 114 (1) (2002)
Peter Lindqvist, Jaak Peetre, Jonathan M. Borwein
Generalized Trigonometric Functions: 10744. Am. Math. Mon. 108 (5) (2001)
Jonathan M. Borwein, Peter B. Borwein
Challenges in mathematical computing. Comput. Sci. Eng. 3 (3) (2001)
Jonathan M. Borwein, David John Broadhurst, Joel Kamnitzer
Central Binomial Sums, Multiple Clausen Values, and Zeta Values. Exp. Math. 10 (1) (2001)
Radu Theodorescu, Jonathan M. Borwein
Moments of the Poisson Distribution: 10738. Am. Math. Mon. 107 (7) (2000)
David Borwein, Jonathan M. Borwein, Pierre Maréchal
Surprise Maximization. Am. Math. Mon. 107 (6) (2000)
Jonathan M. Borwein, Petr Lisonek
Applications of integer relation algorithms. Discret. Math. 217 (1-3) (2000)
Jonathan M. Borwein, Pierre Maréchal, David Naugler
A convex dual approach to the computation of NMR complex spectra. Math. Methods Oper. Res. 51 (1) (2000)
Jonathan M. Borwein, Kwok-Kwong Stephen Choi
On the Representations of xy + yz + ZX. Exp. Math. 9 (1) (2000)
Heinz H. Bauschke, Jonathan M. Borwein, Wu Li
Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization. Math. Program. 86 (1) (1999)
Heinz H. Bauschke, Dominikus Noll, Anna Celler, Jonathan M. Borwein
An EM-Algorithm for Dynamic SPECT. IEEE Trans. Medical Imaging 18 (3) (1999)
Jonathan M. Borwein
Mathematical publication on the Web. SIGSAM Bull. 32 (1) (1998)
Jonathan M. Borwein, Alejandro Jofré
A nonconvex separation property in Banach spaces. Math. Methods Oper. Res. 48 (2) (1998)
Jonathan M. Borwein, Warren B. Moors
Null Sets and Essentially Smooth Lipschitz Functions. SIAM J. Optim. 8 (2) (1998)
Jonathan M. Borwein, Warren B. Moors
A Chain Rule for Essentially Smooth Lipschitz Functions. SIAM J. Optim. 8 (2) (1998)
Jonathan M. Borwein, David M. Bradley, David John Broadhurst, Petr Lisonek
Combinatorial Aspects of Multiple Zeta Values. Electron. J. Comb. 5 (1998)
Jonathan M. Borwein, David M. Bradley
Empirically Determined Apéry-Like Formulae for ζ(4n+3). Exp. Math. 6 (3) (1997)
David H. Bailey, Jonathan M. Borwein, Richard E. Crandall
On the Khintchine constant . Math. Comput. 66 (217) (1997)
Jonathan M. Borwein, David M. Bradley, David John Broadhurst
Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k. Electron. J. Comb. 4 (2) (1997)

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Publication Activity (10 Years)

Top Topics

Top Venues

Jonathan M. Borwein