Gives concrete examples of how to justify the validity of every single digit of a numerical answer.
... problem 7 of the SIAM 100-digit challenge. Tests were executed on two different clusters: ALICEnext in Wuppertal and XC1 in Karlsruhe. An approach to find all the 100 digits of the exact solution with maximum accuracy is also discussed ...
... digit accuracy; the tenth remains stuck at 273 digits. Further developments were described by Bornemann in 2016 in “The SIAM 100-digit challenge: a decade later.” As the Challenge became known, people started to associate me with the ...
This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics.
... Problem Solving Squad has been well known since the SIAM 100-Dollar, 100-Digit Challenge was organized in 2002. This involved ten problems selected from the early years of the Squad, and the challenge for contestants was to try to solve ...
Experimental Mathematics in Action, A K Peters, Natick, MA, 2007. [4] D. H. Bailey and J. M. Borwein (2008). “Computer-assisted discovery and proof.” Tapas in Experimental Mathematics, 21–52, in Contemporary Mathematics, vol.
... Dorian Goldfeld, Martin Kreuzer, Gerhard Rosenberger, and Vladimir Shpilrain, Editors, Algebraic methods in cryptography, 2006 Vadim B. Kuznetsov and Siddhartha Sahi, Editors, Jack, Hall-Littlewood and Macdonald polynomials, ...
In this third edition of Mathematica® in Action, award-winning author Stan Wagon guides beginner and veteran users alike through Mathematica's powerful tools for mathematical exploration.
An introduction to interval analysis for scientists and engineers interested in scientific computation, especially using INTLAB/MATLAB®.
... The SIAM 100-Digit Challenge. SIAM (2004). http://www.siam.org/books/100digitchallenge/ 6. Brattka, V.: The emperor's new recursiveness: the epigraph of the exponential function in two models of computability. In: Ito, M., Imaoka, T ...
... The SIAM 100-Dollar, 100-Digit Challenge. SIAM-NEWS 35(6), 2 (2002), http://www.siam.org/siamnews/06-02/challengedigits.pdf 8. Tucker, W.: The Lorenz attractor exists. C. R. Acad. Sci., Paris, S ́er. I, Math. 328(12), 1197–1202 (1999) ...