Jump to Content

Increase text size Decrease text size

SIAM Digital Library

Sign In
Your Recent History
View Cart

Keyword
DOI
Citation
Advanced Search

Search Content Type

article doi:

Citation:

Home
Journals
E-books
For Authors
- Journal Author Submissions
- Book Author Submissions
Subscription Info
Interactive Features
Journal Citations
Contact Us
- Feedback
- SIAM Website
Scitation

SIAM Review

BROWSE VOLUMES

Year Range:

2012

Volume 54

2011

Volume 53

2010

Volume 52

2009

Volume 51

2008

Volume 50

2007

Volume 49

2006

Volume 48

2005

Volume 47

2004

Volume 46

2003

Volume 45

2002

Volume 44

2001

Volume 43

2000

Volume 42

1999

Volume 41

1998

Volume 40

1997

Volume 39

1996

Volume 38

1995

Volume 37

1994

Volume 36

1993

Volume 35

1992

Volume 34

1991

Volume 33

1990

Volume 32

Issue 4 | 1990 | pp. 537-722

Issue 3 | 1990 | pp. 355-535

Issue 2 | 1990 | pp. 211-353

Issue 1 | 1990 | pp. 1-210

1989

Volume 31

1988

Volume 30

1987

Volume 29

1986

Volume 28

1985

Volume 27

1984

Volume 26

1983

Volume 25

1982

Volume 24

1981

Volume 23

1980

Volume 22

1979

Volume 21

1978

Volume 20

1977

Volume 19

1976

Volume 18

1975

Volume 17

1974

Volume 16

1973

Volume 15

1972

Volume 14

1971

Volume 13

1970

Volume 12

1969

Volume 11

1968

Volume 10

1967

Volume 9

1966

Volume 8

1965

Volume 7

1964

Volume 6

1963

Volume 5

1962

Volume 4

1961

Volume 3

1960

Volume 2

1959

Volume 1

All Journal content published prior to 1997 is part of LOCUS.

Search Term

Search Issue | RSS Feeds

RSS
Previous Issue Next Issue

1990

Volume 32, Issue 2, pp. 211-353

Add

Add Items to Cart

View

View Items in Cart

SELECTED: Export Citations | Show Only | Show All | Show/HideHide Summaries | Add to MyArticles | Email

Select this Article		Some Remarks on the Foundations of Numerical Analysis Steve Smale SIAM Rev. 32, pp. 211-220 (10 pages) \| Cited 11 times Online Publication Date: July 18, 2006 Full Text: \| Download PDF
	+ -	Show Abstract The problem of increasing the understanding of algorithms by considering the foundations of numerical analysis and computer science is considered. The schism between scientific computing and computer science is discussed from a theoretical perspective. These theoretical considerations have an intellectual importance when viewing the computer. In particular, the legitimacy and importance of models of machines that accept real numbers is considered.

Select this Article		Random Number Generators on Vector Supercomputers and Other Advanced Architectures Stuart L. Anderson SIAM Rev. 32, pp. 221-251 (31 pages) \| Cited 24 times Online Publication Date: July 18, 2006 Full Text: \| Download PDF
	+ -	Show Abstract This paper is divided into three parts. The first part surveys the more common techniques for generating and testing uniformly distributed random numbers. The second part considers the efficient generation of random numbers on vector computers. The third part discusses the generation and use of random numbers in multitasking environments (which may include multiple processor computers).

Select this Article		The FFT as a Multigrid Algorithm William L. Briggs and Van Emden Henson SIAM Rev. 32, pp. 252-261 (10 pages) \| Cited 1 time Online Publication Date: July 18, 2006 Full Text: \| Download PDF
	+ -	Show Abstract Apart from the fact that they are both ingenious and remarkably efficient, there would appear to be little kinship between fast Fourier transform (FFT) algorithms and basic multigrid methods. The fast Fourier transform is a powerful direct method for computing the discrete Fourier transform (DFT) of a sequence of complex numbers, whereas multigrid methods are highly refined iterative methods that can be used to approximate the solution of systems of equations. However, on closer examination, there are features of both algorithms that suggest at least a conceptual similarity. This note is written in a heuristic spirit and is intended to offer a motivation for the FFT that allows it to be viewed as a multigrid process. The outcome of this exercise is certainly not a more efficient FFT algorithm. But hopefully, it will serve to demonstrate the way in which multilevel thinking can be used to interpret algorithms and it may lead the way to new algorithms.

Select this Article		The Role of Critical Exponents in Blowup Theorems Howard A. Levine SIAM Rev. 32, pp. 262-288 (27 pages) \| Cited 133 times Online Publication Date: July 18, 2006 Full Text: \| Download PDF
	+ -	Show Abstract In this article various extensions of an old result of Fujita are considered for the initial value problem for the reaction-diffusion equation $u_t = \Delta u + u^p $ in $R^N $ with $p > 1$ and nonnegative initial values. Fujita showed that if $1 < p < 1 + {2 / N}$, then the initial value problem had no nontrivial global solutions while if $p > 1 + {2 / N}$, there were nontrivial global solutions. This paper discusses similar results for other geometries and other equations including a nonlinear wave equation and a nonlinear Schrödinger equation.

Select this Article		The Maximum Range of a Projectile in a Vacuum Revisited Dorothy Browne Shaffer SIAM Rev. 32, pp. 289-293 (5 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
	+ -	Show Abstract This note determines the maximum range of a ballistic missile in a vacuum launched with a given cutoff velocity and height above the earth. The results are based on Keplerian laws for elliptical orbits and some trigonometry. The optimum solution can be characterized by the condition that the launch angle is chosen, so that the sum of the launch and impact angles is the complementary angle to half the angular range on the earth’s surface.

Select this Article		Parametric Feedback Improving Control Systems Efficiency R. T. Yanushevsky SIAM Rev. 32, pp. 294-299 (6 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
	+ -	Show Abstract A special class of parametric feedback is considered. This feedback makes the system coordinates move inside a certain domain. A link between the parametric feedback under consideration and the one used in variable-structure systems is discussed.

Select this Article		Optimization of a Stability Bound P. Th. L. M. van Woerkom SIAM Rev. 32, pp. 300-300 (1 page) \| Cited 1 time Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Impossibility of a Conic Through Six Points D. C. Handscomb SIAM Rev. 32, pp. 300-301 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Convexity of Functions Which are Generalizations of the Erlang Loss Function and the Erlang Delay Function A. A. Jagers and E. A. van Doorn SIAM Rev. 32, pp. 301-302 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		An Optimization Problem E. Pincheon and C. C. Rousseau SIAM Rev. 32, pp. 302-302 (1 page) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Minimum Value of an Integral K. S. Murray SIAM Rev. 32, pp. 302-302 (1 page) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Problem of the Nile (Leopold Flatto and Larry Shepp) Michael Renardy and A. A. Jagers SIAM Rev. 32, pp. 302-304 (3 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		An Average Maximum Distance (Peter Senn) John G. Watson SIAM Rev. 32, pp. 304-305 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Photon Transport in Plant Canopies Barry D. Ganapol SIAM Rev. 32, pp. 305-307 (3 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Three Particles Moving on a Circle (Murray S. Klamkin) W. Weston Meyer SIAM Rev. 32, pp. 307-309 (3 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Quickie SIAM Rev. 32, pp. 309-309 (1 page) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Constrained Global Optimization: Algorithms and Applications (P. M. Pardalos and J. B. Rosen) Faiz Al-Khayyal SIAM Rev. 32, pp. 310-312 (3 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Differential Equations with Discontinuous Righthand Sides (A. F. Filippov) S. R. Bernfeld SIAM Rev. 32, pp. 312-315 (4 pages) \| Cited 1 time Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Integer and Combinatorial Optimization (George L. Nemhauser and Laurence A. Wolsey) Charles Blair SIAM Rev. 32, pp. 315-315 (1 page) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Méthodes des Elements Finis pour les Fluides (O. Pironneau); English translation: Finite Element Methods for Fluids (O. Pironneau) C. Cuvelier SIAM Rev. 32, pp. 315-316 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Fractals Everywhere (Michael Barnsley) I. J. Good SIAM Rev. 32, pp. 317-318 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Stochastic Processes in the Neurosciences (Henry C. Tuckwell) Karl Gustafson SIAM Rev. 32, pp. 318-322 (5 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		The Theory of Evolution and Dynamical Systems: Mathematical Aspects of Selection (Josef Hofbauer and Karl Sigmund) Thomas G. Hallam SIAM Rev. 32, pp. 322-323 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Natural Resource Economics: Notes and Problems (Jon M. Conrad and Colin W. Clark) James Keesling SIAM Rev. 32, pp. 323-325 (3 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Linear Stochastic Systems (Peter E. Caines) Anders Lindquist SIAM Rev. 32, pp. 325-328 (4 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Heat Transfer in Turbulent Mixed Convection (B. S. Petukhov and A. F. Polyakov) R. E. Mayle SIAM Rev. 32, pp. 328-329 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Process Modeling (Morton M. Denn) D. Ramkrishna SIAM Rev. 32, pp. 329-330 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Foundations of the Theory of General Equilibrium (Yves Balasko) Donald K. Richter SIAM Rev. 32, pp. 330-331 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Optimal Periodic Control (Fritz Colonius) Emilio O. Roxin SIAM Rev. 32, pp. 331-332 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Stability and Perfection of Nash Equilibria (Eric van Damme) Martin Shubik SIAM Rev. 32, pp. 332-333 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Morphological Methods in Image and Signal Processing (Charles R. Giardina and Edward R. Dougherty) Henry Stark SIAM Rev. 32, pp. 333-333 (1 page) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Discrete Optimization (R. Gary Parker and Ronald L. Rardin) Uwe Zimmermann SIAM Rev. 32, pp. 333-334 (2 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Other Books Received SIAM Rev. 32, pp. 335-343 (9 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		New Members SIAM Rev. 32, pp. 344-353 (10 pages) Online Publication Date: July 18, 2006 Full Text: \| Download PDF
		Abstract Unavailable

Your Recent History

Recently Viewed

Ill-Conditioning and Computational Error in Interior Methods for Nonlinear Programming
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
Maximum Block Improvement and Polynomial Optimization
A Distance For Multistage Stochastic Optimization Models
Projection-like Retractions on Matrix Manifolds

© SIAM By using SIAM Publications Online you agree to abide by the Terms and Conditions of Use.

Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Bristol, UK).

Find articles by AUTHORNAME

ALL SIAM Content

ALL SIAM Content

This Publication

This Publication

SIAM E-Books

Scitation

Scitation

Google Scholar