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Issue 4 | 1987 | pp. 525-696

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1987

Volume 29, Issue 4, pp. 525-696

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Select this Article		Stability Analysis of Finite Difference, Pseudospectral and Fourier–Galerkin Approximations for Time-Dependent Problems Eitan Tadmor SIAM Rev. 29, pp. 525-555 (31 pages) \| Cited 13 times Full Text: \| Download PDF
	+ -	Show Abstract We consider finite-difference, pseudospectral and Fourier—Galerkin methods for the approximate solution of time-dependent problems. The paper provides a unified framework for the stability analysis of all three discrete methods. In particular, the problem of stability for highly accurate stencils is studied in some detail.

Select this Article		Random Set Theory and Problems of Modeling Noel Cressie and G. M. Laslett SIAM Rev. 29, pp. 557-574 (18 pages) \| Cited 12 times Full Text: \| Download PDF
	+ -	Show Abstract The three- or four-dimensional world in which we live is full of objects to be measured and summarized. Very often a parsimonious finite collection of measurements is enough for scientific investigation into an object’s genesis and evolution. There is a growing need, however, to describe and model objects through their form as well as their size. The purpose of this article is to show the potentials and limitations of a probabilistic and statistical approach. Collections of objects (the data) are assimilated to a random set (the model), whose parameters provide description and/or explanation.

Select this Article		A Survey of Condition Number Estimation for Triangular Matrices Nicholas J. Higham SIAM Rev. 29, pp. 575-596 (22 pages) \| Cited 38 times Full Text: \| Download PDF
	+ -	Show Abstract We survey and compare a wide variety of techniques for estimating the condition number of a triangular matrix, and make recommendations concerning the use of the estimates in applications. Each of the methods is shown to bound the condition number; the bounds can broadly be categorised as upper bounds from matrix theory and lower bounds from heuristic or probabilistic algorithms. For each bound we examine by how much, at worst, it can overestimate or underestimate the condition number. Numerical experiments are presented in order to illustrate and compare the practical performance of the condition estimators.

Select this Article		The Orr–Sommerfeld Equation on Infinite Intervals Isom H. Herron SIAM Rev. 29, pp. 597-620 (24 pages) \| Cited 5 times Full Text: \| Download PDF
	+ -	Show Abstract Numerical and asymptotic methods have been developed the last several years to solve the Orr–Sommerfeld (OS) stability equation for boundary layers and other unbounded domain flows. These are surveyed and some of the abstract mathematical questions they raise are mentioned. There has been a conventional wisdom among fluid dynamicists that it has not been “proved” that the eigenvalues of the OS equations are complete on an unbounded domain. There is something to this, since without the continuous spectrum, which occurs for boundary layer flows, the eigenvalues are not complete. However, much has been proved concerning the nature of the spectrum and the expansion properties of the generalized eigenfunctions. The results of Miklavcic and Williams, and of Bakenko and Herron, form the core of the survey.

Select this Article		Determining the Input for a Dynamic System which is not Completely Controllable Dennis W. Quinn SIAM Rev. 29, pp. 621-623 (3 pages) Full Text: \| Download PDF
	+ -	Show Abstract We consider the problem of determining an input for a dynamic system so that a desired output results at a specified time. For a completely controllable system, such an input always exists; while for a system which is not completely controllable, the input may not exist and the conclusion, “You cannot get there from here” is appropriate. Several examples are presented.

Select this Article		A Note on Optimal Waiting Strategies at Bus Stops Iraj Saniee SIAM Rev. 29, pp. 625-629 (5 pages) Full Text: \| Download PDF
	+ -	Show Abstract We obtain optimal rules for waiting at bus stops, given density of bus arrival times, and deterministic parameters such as walking time and mean bus ride time to destination.

Select this Article		Bounds for Nonlinear Heat Conduction A. A. Jagers SIAM Rev. 29, pp. 631-631 (1 page) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Bounded Polynomials with a Prescribed Behaviour at the Origin M. M. Chawla SIAM Rev. 29, pp. 631-632 (2 pages) Full Text: \| Download PDF
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Select this Article		A Definite Integral of Bessel Functions M. L. Glasser SIAM Rev. 29, pp. 632-632 (1 page) Full Text: \| Download PDF
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Select this Article		A Definite Integral from Surface Gravity Waves M. Stiassnie SIAM Rev. 29, pp. 632-632 (1 page) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Three Convolution Integrals Fikri Kuchuk SIAM Rev. 29, pp. 632-633 (2 pages) Full Text: \| Download PDF
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Select this Article		Incidence Matrix for a Transportation Problem (S. W. Wallace) S. W. Wallace SIAM Rev. 29, pp. 633-633 (1 page) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Sign Pattern of Terms of a Maclaurin Series (C. L. Frenzen) W. B. Jordon SIAM Rev. 29, pp. 634-634 (1 page) Full Text: \| Download PDF
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Select this Article		A Conjectured Minimum Degree Determinantal Polynomial (P. R. Vein) Peter M. Gibson SIAM Rev. 29, pp. 634-635 (2 pages) Full Text: \| Download PDF
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Select this Article		An OC Curve Inequality (P. A. Roediger and J. G. Mardo) A. A. Jagers SIAM Rev. 29, pp. 636-637 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Problem 85-20 (Dec. 1986, p. 574) SIAM Rev. 29, pp. 637-637 (1 page) Full Text: \| Download PDF
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Select this Article		Weighted Energy Methods in Fluid Dynamics and Elasticity (Giovanni P. Galdi and Salvatore Rionero) Stuart S. Antman SIAM Rev. 29, pp. 639-641 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Dynamic Games and Applications in Economics. (T. Basar, ed.) Zvi Artstein SIAM Rev. 29, pp. 641-641 (1 page) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		An Introduction to the Numerical Solution of Differential Equations (Douglas Quinney) Greg Astfalk SIAM Rev. 29, pp. 642-643 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Relay Control Systems (Ya. Z. Tsypkin) Derek P. Atherton SIAM Rev. 29, pp. 643-647 (5 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Multigrid Methods for Integral and Differential Equations (D. J. Paddon and H. Holstein, eds.) Dov Bai SIAM Rev. 29, pp. 647-648 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Wave Interactions and Fluid Flows (A. D. D. Craik) David J. Benney SIAM Rev. 29, pp. 648-648 (1 page) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Foundations of Radiation Hydrodynamics (Dimitri Mihalas and Barbara Weibel Mihalas) Moustafa T. Chahine SIAM Rev. 29, pp. 648-650 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Computer Science. A Mathematical Introduction (Art Lew) W. H. Enright SIAM Rev. 29, pp. 650-651 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Graphical Evolution. an Introduction to the Theory of Random Graphs (Edgar M. Palmer) Chris Godsil SIAM Rev. 29, pp. 651-652 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Stability and Periodic Solutions of Ordinary and Functional Differential Equations (T. A. Burton) Kenneth B. Hannsgen SIAM Rev. 29, pp. 652-654 (3 pages) \| Cited 1 time Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		An Introduction to Chaotic Dynamical Systems (Robert L. Devaney); Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists (J. M. T. Thompson and H. B. Stewart) (with the Assistance of R. Ghaffari and C. Franciosi and a Contribution by H. L. Swinney) Philip Holmes SIAM Rev. 29, pp. 654-658 (5 pages) \| Cited 2 times Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Control System Synthesis: A Factorization Approach (M. Vidyasagar) Pramod P. Khargonekar SIAM Rev. 29, pp. 658-660 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Calculation of Special Functions, the Gamma Function, the Exponential Integrals and Error-Like Functions (C. G. van der Laan and N. M. Temme) K. S. Kölbig SIAM Rev. 29, pp. 660-661 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Game Theoretic Analysis of Voting in Committees (Bezalel Peleg) William F. Lucas SIAM Rev. 29, pp. 661-663 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Singular Perturbation Analysis of Discrete Control Systems (D. S. Naidu and A. K. Rao) Marc Mangel SIAM Rev. 29, pp. 664-665 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Actuarial Mathematics (Harry H. Panjer) John C. Nash SIAM Rev. 29, pp. 665-667 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		A First Look at Perturbation Theory (James G. Simmonds and James E. Mann, Jr.) R. E. O’Malley, Jr. SIAM Rev. 29, pp. 667-667 (1 page) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		A Unified Theory of Nonlinear Operator and Evolution Equations with Applications. A New Approach to Nonlinear Partial Differential Equations (Mieczyslaw Altman) Rainer H. Picard SIAM Rev. 29, pp. 668-670 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Stationary Sequences and Random Fields (Murray Rosenblatt) James Pickands III SIAM Rev. 29, pp. 670-671 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		The Stationary Semiconductor Device Equations. (Peter A. Markowich) Joseph M. Pimbley SIAM Rev. 29, pp. 671-673 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		System Reliability; Evaluation & Prediction in Engineering (Alain Pages and Michel Gondran) Tzvi Raz SIAM Rev. 29, pp. 673-674 (2 pages) Full Text: \| Download PDF
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Select this Article		Application of Structural Systems Reliability Theory (Palls Thoft-Christensen and Yoshisada Murotsu) W. R. Spillers SIAM Rev. 29, pp. 674-675 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Non-Uniform Random Variate Generation (Luc Devroye) J. Michael Steele SIAM Rev. 29, pp. 675-676 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Verification and Validation of Real Time Software (W. J. Quirk, eds.) Boleslaw K. Szymanski SIAM Rev. 29, pp. 676-678 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Linear Systems Over Commutative Rings (James W. Brewer, John W. Bunce and F. S. van Vleck) Sylvia Wiegand SIAM Rev. 29, pp. 678-680 (3 pages) Full Text: \| Download PDF
		Abstract Unavailable

Select this Article		Other Books Received SIAM Rev. 29, pp. 680-688 (9 pages) Full Text: \| Download PDF
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Select this Article		New Members SIAM Rev. 29, pp. 689-694 (6 pages) Full Text: \| Download PDF
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Select this Article		Report of the Treasurer for the Year Ended December 31, 1986 SIAM Rev. 29, pp. 695-696 (2 pages) Full Text: \| Download PDF
		Abstract Unavailable

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