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David H. Bailey
"Computo ergo sum."
Chief Technologist, Computational Research Dept.
Lawrence Berkeley National Laboratory

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Blog
The new "Math Drudge" blog is now online. It contains essays,
philosophical musings, interesting quotes and exercises, all in the
realm of mathematics, computing and scientific research:
Blog
Books
I have written three books on computational and experimental mathematics, and a CD-ROM reference. Further information is available in the Books website:
http://www.experimentalmath.info/books
CS267
Myself and others in the LBNL Computational Research Department often
participate in the U.C. Berkeley course "Applications of Parallel
Computing" (CS267). The lecture notes and related materials for the
most recent edition of this course (2008) are available here:
CS267
Experimental Mathematics
I have published numerous research studies in the area of "experimental" (computer-assisted) mathematics, which establish that modern high-performance computer technology can be effectively utilized as a tool for mathematical research. Here are some links with additional information:
- Main experimental mathematics website:
http://www.experimentalmath.info
- American Scientist article -- mentions experimental math and DHB's experimental math books (Jan 2007):
PDF
- Notices of the AMS article on experimental mathematics (May 2005) -- overview of recent research:
PDF
High-Precision Software Library
I am a co-author of an extensive library for high-precision
computation. This library includes translation facilities so that one
can use, with minor modification, ordinary Fortran or C programs to
perform these operations. An "Experimental Mathematician's
Toolkit", an interactive tool, is also now available:
http://crd.lbl.gov/~dhbailey/mpdist.
Online Papers
Online copies of over 100 technical papers are available here:
http://crd.lbl.gov/~dhbailey/dhbpapers
Online Talks
Online copies of many of my recent lectures are available here:
http://crd.lbl.gov/~dhbailey/dhbtalks
Performance Engineering Research Institute (PERI)
I am co-leading a multi-institution, DOE-funded research program in
performance analysis and modeling for scientific computing. Software,
papers, talks and other material are available here:
http://www.peri-scidac.org
Personal Websites
Some papers, photos and other materials not related to my official duties
at LBNL are available at these websites:
http://www.dhbailey.com
http://www.sciencemeetsreligion.org
DISCLAIMER: These two sites are owned and operated by DHB. Neither the LBNL, the University of California nor the Department of Energy supports or endorses any of this material.
Photos
- Photo of DHB with an LBNL shuttle bus:
Shuttle bus
- Photo of an auto previously owned by DHB, together with several
researchers involved in calculations of pi (Kanada, Salamin and Gosper):
Auto
- Photo of the view from a spot at LBNL to downtown San Francisco:
View
from LBNL
- Personal photo (12 Kbyte):
Personal photo
- Personal photo (1 Mbyte):
Personal photo
- DHB near summit of Half Dome:
DHB at Half Dome. This photo (taken by Derek Schickor) is now featured on the Google website when one types "Half Dome" (without the quotation marks) in the Google search window
http://images.google.com.
Pi
In 1996, Peter Borwein (brother of Jonathan Borwein), Simon Plouffe and I co-authored a paper that presents a new formula for pi:
This formula, now known as the "BBP formula for pi", permits one to compute the n-th binary or hexadecimal digit of pi, without computing the first n-1 digits, by means of a simple scheme that requires very little memory. It was discovered by Simon Plouffe using a computer program of mine that implements Helaman Ferguson's "PSLQ" algorithm. More recently, Richard Crandall and I have shown that there is a connection between the new pi formula and the centuries-old question of normality (ie, statistical randomness of digits in a certain sense) of pi and various other math constants. This work has been featured in recent Science News and Scientific American articles:
Resume
A detailed curriculum vitae (resume), including a list of publications, is
available here:
PDF.
Websites of Interest
- Jonathan Borwein -- many interesting links on general mathematics and experimental mathematics:
Jonathan Borwein.
- Peter Borwein -- lots of information on pi and number theory:
Peter Borwein
- Richard Crandall -- many useful tools for computational number theory:
Richard Crandall
- James Demmel -- lots of information on computational linear algebra and computer science:
James Demmel
- Helaman Ferguson -- numerous photos of his beautiful mathematical sculptures:
Helaman Ferguson