Orszag, Steven A.
Overview
Works:  72 works in 212 publications in 1 language and 3,391 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QA371, 519.4 
Publication Timeline
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Most widely held works about
Steven A Orszag
 Oral history interview with Cecil E. "Chuck" Leith by Cecil E Leith Cecil E Leith( )
Most widely held works by
Steven A Orszag
Advanced mathematical methods for scientists and engineers
by
Carl M Bender(
Book
)
44 editions published between 1978 and 2013 in English and Undetermined and held by 1,031 WorldCat member libraries worldwide
This book gives a clear, practical and selfcontained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute force numerical methods may not converge to useful solutions. The presentation is aimed at teaching the insights that are most useful in approaching new problems; it avoids special methods and tricks that work only for particular problems, such as the traditional transcendental functions. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundarylayer theory, WKB theory, and multiplescale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many wellchosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions
44 editions published between 1978 and 2013 in English and Undetermined and held by 1,031 WorldCat member libraries worldwide
This book gives a clear, practical and selfcontained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute force numerical methods may not converge to useful solutions. The presentation is aimed at teaching the insights that are most useful in approaching new problems; it avoids special methods and tricks that work only for particular problems, such as the traditional transcendental functions. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundarylayer theory, WKB theory, and multiplescale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many wellchosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions
Numerical analysis of spectral methods : theory and applications
by
David Gottlieb(
Book
)
38 editions published between 1977 and 2009 in English and Undetermined and held by 576 WorldCat member libraries worldwide
A unified discussion of the formulation and analysis of special methods of mixed initial boundaryvalue problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis
38 editions published between 1977 and 2009 in English and Undetermined and held by 576 WorldCat member libraries worldwide
A unified discussion of the formulation and analysis of special methods of mixed initial boundaryvalue problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis
Large eddy simulation of complex engineering and geophysical flows
(
Book
)
9 editions published between 1993 and 2010 in English and held by 271 WorldCat member libraries worldwide
9 editions published between 1993 and 2010 in English and held by 271 WorldCat member libraries worldwide
Essays dedicated to S.M. Ulam : proceedings of the first Los Alamos Symposium on Mathematics in the Natural Sciences
by Los Alamos Symposium on Mathematics in the Natural Sciences(
Book
)
3 editions published in 1976 in English and held by 266 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 266 WorldCat member libraries worldwide
Recent advances in computational fluid dynamics : proceedings of the US/ROC (Taiwan) Joint Workshop on Recent Advances in Computational Fluid Dynamics
by
C. C Chao(
Book
)
10 editions published between 1988 and 1989 in English and held by 180 WorldCat member libraries worldwide
From the preface: Fluid dynamics is an excellent example of how recent advances in computational tools and techniques permit the rapid advance of basic and applied science. The development of computational fluid dynamics (CFD) has opened new areas of research and has significantly supplemented information available from experimental measurements. Scientific computing is directly responsible for such recent developments as the secondary instability theory of transition to turbulence, dynamical systems analyses of routes to chaos, ideas on the geometry of turbulence, direct simulations of turbulence, threedimensional fullaircraft flow analyses, and so on. We believe that CFD has already achieved a status in the toolkit of fluid mechanicians equal to that of the classical scientific techniques of mathematical analysis and laboratory experiment
10 editions published between 1988 and 1989 in English and held by 180 WorldCat member libraries worldwide
From the preface: Fluid dynamics is an excellent example of how recent advances in computational tools and techniques permit the rapid advance of basic and applied science. The development of computational fluid dynamics (CFD) has opened new areas of research and has significantly supplemented information available from experimental measurements. Scientific computing is directly responsible for such recent developments as the secondary instability theory of transition to turbulence, dynamical systems analyses of routes to chaos, ideas on the geometry of turbulence, direct simulations of turbulence, threedimensional fullaircraft flow analyses, and so on. We believe that CFD has already achieved a status in the toolkit of fluid mechanicians equal to that of the classical scientific techniques of mathematical analysis and laboratory experiment
Japanese supercomputing : architecture, algorithms, and applications
by
R Mendez(
Book
)
6 editions published in 1988 in English and held by 175 WorldCat member libraries worldwide
6 editions published in 1988 in English and held by 175 WorldCat member libraries worldwide
Supercomputers and fluid dynamics : proceedings of the First Nobeyama Workshop, September 36, 1985
by
K Kuwahara(
Book
)
6 editions published in 1986 in English and held by 170 WorldCat member libraries worldwide
6 editions published in 1986 in English and held by 170 WorldCat member libraries worldwide
Numerical studies of laminar and turbulent drag reduction : part II
by
R Balasubramanian(
Book
)
7 editions published between 1981 and 1983 in English and held by 144 WorldCat member libraries worldwide
7 editions published between 1981 and 1983 in English and held by 144 WorldCat member libraries worldwide
Stability analysis for laminar flow control, Part I
by
David J Benney(
Book
)
3 editions published in 1977 in English and held by 75 WorldCat member libraries worldwide
3 editions published in 1977 in English and held by 75 WorldCat member libraries worldwide
Prediction of compliant wall drag reduction, part I
by
Steven A Orszag(
Book
)
2 editions published in 1977 in English and held by 75 WorldCat member libraries worldwide
2 editions published in 1977 in English and held by 75 WorldCat member libraries worldwide
Prediction of compliant wall drag reduction, part II
by
Steven A Orszag(
Book
)
3 editions published in 1979 in English and held by 72 WorldCat member libraries worldwide
3 editions published in 1979 in English and held by 72 WorldCat member libraries worldwide
Advanced stability theory analyses for laminar flow control
by
Steven A Orszag(
Book
)
2 editions published in 1980 in English and held by 70 WorldCat member libraries worldwide
2 editions published in 1980 in English and held by 70 WorldCat member libraries worldwide
Numerical simulation of shear flows over wavy boundaries
by
Steven A Orszag(
Book
)
2 editions published in 1980 in English and held by 61 WorldCat member libraries worldwide
2 editions published in 1980 in English and held by 61 WorldCat member libraries worldwide
Stability analysis for laminar flow control
by
Steven A Orszag(
Book
)
in English and held by 58 WorldCat member libraries worldwide
in English and held by 58 WorldCat member libraries worldwide
Proceedings of the first Los Alamos Symposium on Mathematics in the Natural Sciences
by Los Alamos Symposium on Mathematics in the Natural Sciences(
Book
)
2 editions published in 1976 in English and held by 43 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 43 WorldCat member libraries worldwide
Surveys in applied mathematics : essays dedicated to S.M. Ulam
by
N Metropolis(
Book
)
8 editions published between 1974 and 1977 in English and held by 37 WorldCat member libraries worldwide
8 editions published between 1974 and 1977 in English and held by 37 WorldCat member libraries worldwide
Stability analysis for laminar flow control
by
David J Benney(
)
in English and held by 14 WorldCat member libraries worldwide
in English and held by 14 WorldCat member libraries worldwide
Numerical solution of problems in unbounded regions : coordinate transforms
by
C. E Grosch(
Book
)
1 edition published in 1976 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 6 WorldCat member libraries worldwide
Analytical theories of turbulence
by
Steven A Orszag(
Book
)
3 editions published in 1969 in English and held by 5 WorldCat member libraries worldwide
The paper surveys the current state of analytical attempts at a theory of turbulence. The formulation of the problem in terms of moments is discussed. The difficulty posed by the closure problem is examined in detail using the quasinormal approximation as an example. The notion of dynamical relaxation by nonlinear scrambling leads to the introduction of eddy relaxation times and the directinteraction approximation. The properties of the directinteraction approximation are indicated. Finally, a comparison is made between numerical solution of the equations of turbulence theory and direct numerical simulation of the NavierStokes equations. (Author)
3 editions published in 1969 in English and held by 5 WorldCat member libraries worldwide
The paper surveys the current state of analytical attempts at a theory of turbulence. The formulation of the problem in terms of moments is discussed. The difficulty posed by the closure problem is examined in detail using the quasinormal approximation as an example. The notion of dynamical relaxation by nonlinear scrambling leads to the introduction of eddy relaxation times and the directinteraction approximation. The properties of the directinteraction approximation are indicated. Finally, a comparison is made between numerical solution of the equations of turbulence theory and direct numerical simulation of the NavierStokes equations. (Author)
Chebyshev & Fourier spectral methods
by
John P Boyd(
Book
)
1 edition published in 1989 in English and held by 4 WorldCat member libraries worldwide
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and timedependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrixsolving methods, coordinate transformations, spherical and cylindrical geometry, and more. Includes 7 appendices and over 160 text figures
1 edition published in 1989 in English and held by 4 WorldCat member libraries worldwide
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and timedependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrixsolving methods, coordinate transformations, spherical and cylindrical geometry, and more. Includes 7 appendices and over 160 text figures
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Related Identities
 Bender, Carl M. 1943 Author
 Gottlieb, David Author
 Langley Research Center
 Rota, GianCarlo 19321999 Editor
 Metropolis, N. (Nicholas) 1915 Author Editor
 Mendez, R. (Raul) Author Editor
 United States National Aeronautics and Space Administration Scientific and Technical Information Office
 Ulam, Stanislaw M. Honoree
 Galperin, Boris Editor
 Cambridge Hydrodynamics, inc
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Associated Subjects
AirplanesWingsComputer simulation Boundary layer control Charney, Jule G Chebyshev polynomials ChemistryMathematics Climatic changes Computeraided design Computer science Cray, Seymour Difference equationsNumerical solutions Differential equationsNumerical solutions Drag (Aerodynamics) Drag (Aerodynamics)Computer simulation EddiesMathematical models Engineering Engineering mathematics Fluid dynamics Fluid dynamicsData processing Fluid mechanics Fourier analysis Global analysis (Mathematics) Hydrodynamics Japan Laminar flow Laminar flowComputer simulation Laminar flowData processing Lindzen, Richard S Mathematical physics Mathematics Mechanics National Academy of Sciences (U.S.) NavierStokes equations Numerical analysis Physics Richtmyer, Robert D Science ScienceMathematics ScienceMethodology SegreĢ, Emilio Software engineering Spectral theory (Mathematics) Stability Supercomputers Turbulence TurbulenceComputer simulation TurbulenceData processing TurbulenceMathematical models Turbulent boundary layer Wall pressure (Aerodynamics) Weather control
Alternative Names
Orszag, S.
Orszag, S. 19432011
Orszag, S. A.
Orszag, S. A. 19432011
Orszag, S. A. (Steven A.)
Orszag, S. A. (Steven A.), 19432011
Orszag, S. (Steven)
Orszag, Steven A.
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