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41 Mercier, Bertrand An Introduction to the Numerical Analysis of Spectral Methods I04064 1989 eBook  
42 Fletcher, C. A. J Computational Galerkin Methods I04008 1984 eBook  
43 Morton, K.W Twelfth International Conference on Numerical Methods in Fluid Dynamics I03890 1990 eBook  
44 Nussbaumer, H.J Fast Fourier Transform and Convolution Algorithms I03823 1981 eBook  
45 Wesfreid, J. E Cellular Structures in Instabilities I03581 1984 eBook  
46 Chester, W Mechanics I03493 1979 eBook  
47 Gram, J.G Numerical Solution of Partial Differential Equations I03452 1973 eBook  
48 Desideri, Jean-Antoine Hypersonic Flows for Reentry Problems I03342 1991 eBook  
49 Keast, Patrick Numerical Integration I03020 1987 eBook  
50 Holt, Maurice Numerical Methods in Fluid Dynamics I02912 1984 eBook  
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41.    
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TitleAn Introduction to the Numerical Analysis of Spectral Methods
Author(s)Mercier, Bertrand
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1989.
DescriptionV, 154 p. 1 illus : online resource
Abstract NoteThis is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev's. The author gives rigorous proofs of fundamental results related to one-dimensional advection and diffusions equations. The book addresses students as well as practitioners of numerical analysis
ISBN,Price9783540461586
Keyword(s)1. APPLIED MATHEMATICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. Fluid- and Aerodynamics 6. FLUIDS 7. Mathematical and Computational Engineering 8. Mathematical Methods in Physics 9. NUMERICAL ANALYSIS 10. Numerical and Computational Physics, Simulation 11. PHYSICS
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42.     
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TitleComputational Galerkin Methods
Author(s)Fletcher, C. A. J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionXII, 310 p. 102 illus : online resource
Abstract NoteIn the wake of the computer revolution, a large number of apparently uncon?? nected computational techniques have emerged. Also, particular methods have assumed prominent positions in certain areas of application. Finite element methods, for example, are used almost exclusively for solving structural problems; spectral methods are becoming the preferred approach to global atmospheric modelling and weather prediction; and the use of finite difference methods is nearly universal in predicting the flow around aircraft wings and fuselages. These apparently unrelated techniques are firmly entrenched in computer codes used every day by practicing scientists and engineers. Many of these scientists and engineers have been drawn into the computational area without the benefit offormal computational training. Often the formal computational training we do provide reinforces the arbitrary divisions between the various computational methods available. One of the purposes of this monograph is to show that many computational techniques are, indeed, closely related. The Galerkin formulation, which is being used in many subject areas, provides the connection. Within the Galerkin frame-work we can generate finite element, finite difference, and spectral methods
ISBN,Price9783642859496
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. NUMERICAL ANALYSIS 5. Numerical and Computational Physics, Simulation 6. PHYSICS
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43.     
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TitleTwelfth International Conference on Numerical Methods in Fluid Dynamics : Proceedings of the Conference Held at the University of Oxford, England on 9???13 July 1990
Author(s)Morton, K.W
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1990.
DescriptionXIV, 562 p : online resource
Abstract NoteThese proceedings are devoted to the most recent research in computational fluid mechanics and include a thorough analysis of the state of the art in parallel computing and the development of algorithms. The applications cover hypersonic and environmental flows, transitions in turbulence, and propulsion systems. Seven invited lectures survey the results of the recent past and point out interesting new directions of research. The contributions have been carefully selected for publication
ISBN,Price9783540469186
Keyword(s)1. EARTH SCIENCES 2. Earth Sciences, general 3. EBOOK 4. EBOOK - SPRINGER 5. Fluid- and Aerodynamics 6. FLUIDS 7. Mathematical Methods in Physics 8. NUMERICAL ANALYSIS 9. Numerical and Computational Physics, Simulation 10. PHYSICS
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I03890     On Shelf    

44.     
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TitleFast Fourier Transform and Convolution Algorithms
Author(s)Nussbaumer, H.J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1981.
Description1 illus : online resource
Abstract NoteThis book presents in a unified way the various fast algorithms that are used for the implementation of digital filters and the evaluation of discrete Fourier transforms. The book consists of eight chapters. The first two chapters are devoted to background information and to introductory material on number theory and polynomial algebra. This section is limited to the basic concepts as they apply to other parts of the book. Thus, we have restricted our discussion of number theory to congruences, primitive roots, quadratic residues, and to the properties of Mersenne and Fermat numbers. The section on polynomial algebra deals primarily with the divisibility and congruence properties of polynomials and with algebraic computational complexity. The rest of the book is focused directly on fast digital filtering and discrete Fourier transform algorithms. We have attempted to present these techniques in a unified way by using polynomial algebra as extensively as possible. This objective has led us to reformulate many of the algorithms which are discussed in the book. It has been our experience that such a presentation serves to clarify the relationship between the algorithms and often provides clues to improved computation techniques. Chapter 3 reviews the fast digital filtering algorithms, with emphasis on algebraic methods and on the evaluation of one-dimensional circular convolutions. Chapters 4 and 5 present the fast Fourier transform and the Winograd Fourier transform algorithm
ISBN,Price9783662005514
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. NUMERICAL ANALYSIS
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45.     
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TitleCellular Structures in Instabilities : Proceedings of the Meeting ???Structures cellulaires dans les instabilit??s ??? p??riodicit??, d??fauts, turbulence de phase??? Held at Gif-sur-Yvette, France, June 20???22, 1983
Author(s)Wesfreid, J. E;Zaleski, S
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionVI, 392 p. 99 illus : online resource
ISBN,Price9783540390732
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Fluid- and Aerodynamics 4. FLUIDS 5. MATHEMATICAL PHYSICS 6. NUMERICAL ANALYSIS 7. Theoretical, Mathematical and Computational Physics
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46.     
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TitleMechanics
Author(s)Chester, W
PublicationDordrecht, Springer Netherlands, 1979.
Description400 p : online resource
Abstract NoteWhen I began to write this book, I originally had in mind the needs of university students in their first year. May aim was to keep the mathematics simple. No advanced techniques are used and there are no complicated applications. The emphasis is on an understanding of the basic ideas and problems which require expertise but do not contribute to this understanding are not discussed. How?? ever, the presentation is more sophisticated than might be considered appropri?? ate for someone with no previous knowledge of the subject so that, although it is developed from the beginning, some previous acquaintance with the elements of the subject would be an advantage. In addition, some familiarity with element?? ary calculus is assumed but not with the elementary theory of differential equations, although knowledge of the latter would again be an advantage. It is my opinion that mechanics is best introduced through the motion of a particle, with rigid body problems left until the subject is more fully developed. However, some experienced mathematicians consider that no introduction is complete without a discussion of rigid body mechanics. Conventional accounts of the subject invariably include such a discussion, but with the problems restricted to two-dimensional ones in the books which claim to be elementary. The mechanics of rigid bodies is therefore included but there is no separate discussion of the theory in two dimensions
ISBN,Price9789401095020
Keyword(s)1. Classical and Continuum Physics 2. Continuum physics 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. Numeric Computing 7. NUMERICAL ANALYSIS 8. Theoretical, Mathematical and Computational Physics
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47.     
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TitleNumerical Solution of Partial Differential Equations : Proceedings of the NATO Advanced Study Institute held at Kjeller, Norway, August 20???24, 1973
Author(s)Gram, J.G
PublicationDordrecht, Springer Netherlands, 1973.
DescriptionVII, 271 p : online resource
Abstract NoteThis book contains the transcripts of the invited lectures presented at the NATO Advanced Study Institute on "Numerical Solution of Partial Differential Equations". The Study Institute was held at the Netherlands-Norwegian Reactor School, Institutt for Atomenergi, Kjeller, Norway, 20th - 24th August 1973. The members of the Scientific Advisory Committee were: A. R. Mitchell, University of Dundee, Scotland I. HoI and, University of Trondheim, Norway T. Havie, UniverSity of Trondheim, Norway The members of the Organizing Committee were: E. Andersen, Institutt for Atomenergi, Kjeller, Norway G. E. Fladmark, Institutt for Atomenergi, Kjeller, Norway J. G. Gram, Institutt for Atomenergi, Kjeller, Norway The aim of the Study Institute was to bring together mathe?? maticians and engineers working with numerical methods. The papers presented covered both theory and application of methods for solution of partial differential equations. The topics were finite element methods, finite difference methods, and methods for solution of linear and nonlinear systems of equations with application to continuum mechanics and heat transfer. The total number of participants was 68. Their names are given at the end of the book. The publication of these proceed?? ings could be realized through the kind cooperation of the lec?? turers. The Advanced Study Institute was financially sponsored by NATO Scientific Affairs Division. The Organizing Committee wishes to express its gratitude for this support. Valuable assistance was given by Mrs. G
ISBN,Price9789401026727
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Numeric Computing 4. NUMERICAL ANALYSIS
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48.     
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TitleHypersonic Flows for Reentry Problems : Volume II: Test Cases ??? Experiments and Computations Proceedings of a Workshop Held in Antibes, France, 22???25 January 1990
Author(s)Desideri, Jean-Antoine;Glowinski, Roland;Periaux, Jacques
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1991.
DescriptionXIII, 1230 p. 397 illus., 8 illus. in color : online resource
Abstract NoteThis entry describes the experimental work conducted in the Department of Aeronautics at Imperial College in connection with Test Problems 1 and 2 of the "Workshop on Hypersonic Flows for Reentry Problems, Part I". These are defined as follows: Test Problem 1 Flow Over a Slender Cone Test Problem 2 Turbulent Base Flow The main requirement of this text is to present the experimental data for direct comparison with the predictions of CFD codes. We have therefore concentrated mainly on a factual statement of measuring techniques and results, together with an assessment of experimental accuracy. Future publications will be devoted to more extensive physical interpretations and discussions of the results. We have produced a large volume of data, some of which were categorised as "MANDATORY" and some as "OPTIONAL" for the purposes of CFD validation. However, only the "MANDATORY" data are presented here, although the other data are available and will be published separately later. 2. EXPERIMENTAL ARRANGEMENT 2. 1 The Test Facility The experiments were conducted in the Imperial College No. 2 Gun tunnel. This facility is a conventional intermittent blowdown tunnel with a contoured Mach 9 (nominal) axisymmetric nozzle fed by a free piston compression heater. The operating condition under which the data contained in this report were obtained is presented in Table 1. Test 2 T (oK) M b. Mlm Po (N/m ) Re/m T (oK) IX) IX) Case IX) w 1. 1 7 7 +0. 14 9. 16 6. 67x10 5. 5xl0 59
ISBN,Price9783642765278
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Fluid- and Aerodynamics 4. FLUIDS 5. Mathematical Methods in Physics 6. NUMERICAL ANALYSIS 7. Numerical and Computational Physics, Simulation 8. PHYSICS
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49.     
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TitleNumerical Integration : Recent Developments, Software and Applications
Author(s)Keast, Patrick;Fairweather, Graeme
PublicationDordrecht, Springer Netherlands, 1987.
DescriptionXIV, 394 p : online resource
Abstract NoteThis volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Developments, Software and Applications', held at Dalhousie University, Halifax, Canada, August 11-15, 1986. The Workshop was attended by thirty-six scientists from eleven NATO countries. Thirteen invited lectures and twenty-two contributed lectures were presented, of which twenty-five appear in full in this volume, together with extended abstracts of the remaining ten. It is more than ten years since the last workshop of this nature was held, in Los Alamos in 1975. Many developments have occurred in quadrature in the intervening years, and it seemed an opportune time to bring together again researchers in this area. The development of QUADPACK by Piessens, de Doncker, Uberhuber and Kahaner has changed the focus of research in the area of one dimensional quadrature from the construction of new rules to an emphasis on reliable robust software. There has been a dramatic growth in interest in the testing and evaluation of software, stimulated by the work of Lyness and Kaganove, Einarsson, and Piessens. The earlier research of Patterson into Kronrod extensions of Gauss rules, followed by the work of Monegato, and Piessens and Branders, has greatly increased interest in Gauss-based formulas for one-dimensional integration
ISBN,Price9789400938892
Keyword(s)1. COMPUTERS 2. EBOOK 3. EBOOK - SPRINGER 4. MICROPROCESSORS 5. Numeric Computing 6. NUMERICAL ANALYSIS 7. Processor Architectures 8. Theory of Computation
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I03020     On Shelf    

50.    
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TitleNumerical Methods in Fluid Dynamics
Author(s)Holt, Maurice
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionXI, 273 p. 1 illus : online resource
Abstract NoteFrom the reviews of the first edition: "This book is directed to graduate students and research workers interested in the numerical solution of problems of fluid dynamics, primarily those arising in high speed flow. ...The book is well arranged, logically presented and well illustrated. It contains several FORTRAN programms with which students could experiment ... It is a practical book, with emphasis on methods and their implementation. It is an excellent text for the fruitful research area it covers, and is highly recommended". Journal of Fluid Mechanics #1 From the reviews of the second edition: "The arrangement of chapters in the book remains practically the same as that in the first editon (1977), except for the inclusion of Glimm's method ... This book is higly recommended for both graduate students and researchers." Applied Mechanics Reviews #1
ISBN,Price9783642693410
Keyword(s)1. Classical and Continuum Physics 2. Continuum physics 3. EBOOK 4. EBOOK - SPRINGER 5. Fluid- and Aerodynamics 6. FLUIDS 7. Mathematical Methods in Physics 8. NUMERICAL ANALYSIS 9. Numerical and Computational Physics, Simulation 10. PHYSICS
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I02912     On Shelf    

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