Digit Serial Methods with Applications to Division and Square Root

Autor: Joe Leslie-Hurd, Jesse Bingham, John Harrison, Levent Erkok, Warren E. Ferguson

Publikováno v: IEEE Transactions on Computers. 67:449-456

We present a generic digit serial method (DSM) to compute the digits of a real number $V$ . Bounds on these digits, and on the errors in the associated estimates of $V$ formed from these digits, are derived. To illustrate our results, we derive such

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e4635393e1ea51569db23a89447b06cb
https://doi.org/10.1109/tc.2017.2759764

IEEE Standard for Floating-Point Arithmetic

Autor: Ricardo Morin, Alex Fit-Florea, Anthony Wood, Marius Cornea, Marc Daumas, Jason Riedy, Steven R. Carlough, Stuart Oberman, Jon Okada, Paul Zimmermann, Tom Pittman, John Hauser, Chris N. Hinds, Chip Freitag, Mahesh Bhat, Graydon Hoare, Matthew Applegate, M. F. Cowlishaw, David Bindel, Sylvie Boldo, Chuck Stevens, David H. Bailey, James W. Thomas, Stephen Canon, Don Senzig, Umit Yalcinalp, Yozo Hida, David Scott, Brandon Thompson, Pamela J. Taylor, Michel Hack, Jeff Kidder, Laurent Fournier, Richard J. Fateman, Ron Smith, Neil Toda, Liang Wang, David Gustafson, Ivan Godard, Plamen Koev, Craig Nelson, Roger A. Golliver, Ren-Cang Li, Rick James, J. P. Fasano, John Kapernick, David W. Matula, Ian Ollmann, Michael Siu, Peter Markstein, Jerry Huck, Dileep Bhandarkar, John H. Crawford, Peter Tang, Dan Zuras, Mark A. Erle, Scott Westbrook, Fred Zemke, Warren E. Ferguson, Raymond Mak, David G. Hough, Wendy Thrash, David V. James, Guillaume Melquiond, Steve Winkler, Richard Karpinski, Mark Davis, Zhishun A. Liu, James Demmel, Bob Davis, Eric Feng, Leonard Tsai, Steve Bass, William Kahan, Michael Parks, Jim Hull, John R. Harrison, Nobuyoshi Mori, Fred Tydeman, Dick Delp, Joseph D. Darcy, Debjit Das Sarma, Eric M. Schwarz, Ilya Sharapov, Ned Nedialkov, Eric Postpischil, Michael Ingrassia, Son Dao Trong, Jim Shearer, Charles Tsen, Alex Aiken, Hossam A. H. Fahmy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fc6e5cdbb221dff0bdcb314ff3a21cd9
https://doi.org/10.1109/ieeestd.2008.4610935

The Rate of Convergence of a Class of Block Jacobi Schemes

Autor: Jr. Warren E Ferguson

Publikováno v: SIAM Journal on Numerical Analysis. 23:297-303

This paper determines the rate of convergence of a class of block Jacobi iterative schemes when the schemes are applied to a general class of problems. Among these iterative schemes are the q-line and q-plane block Jacobi schemes, while the general c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::790a164bce7989376535d8cc012c420f
https://doi.org/10.1137/0723021

Nonlinear deep-water waves: theory and experiment. Part 2. Evolution of a continuous wave train

Autor: Harald Rungaldier, Henry C. Yuen, Warren E. Ferguson, Bruce M. Lake

Publikováno v: Journal of Fluid Mechanics. 83:49-74

Results of an experimental investigation of the evolution of a nonlinear wave train on deep water are reported. The initial stage of evolution is found to be characterized by exponential growth of a modulational instability, as was first discovered b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e5c2c9bcc58b5b7d8a070298476717dd
https://doi.org/10.1017/s0022112077001037

Analysis of a Singularly-Perturbed Linear Two-Point Boundary-Value Problem

Autor: Jr. Warren E Ferguson

Publikováno v: SIAM Journal on Numerical Analysis. 23:940-947

Consider as $\varepsilon \to 0^ + $, the solution \[ y(x) = {{\{ {1 - \exp ({{ - x} / \varepsilon })} \}} / {\{ {1 - \exp ({{ - 1} / \varepsilon })} \}}} \] of the following singularly-perturbed linear two-point boundary-value problem \[\varepsilon y

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::12dd38e1d7a44792c986cddf28e542a2
https://doi.org/10.1137/0723062