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図書
図書
1. Fundamentals of engineering numerical analysis. 2nd ed (: pbk ; : hbk)
Parviz Moin
出版情報: Cambridge : Cambridge University Press, 2010  xiv, 241 p. ; 26 cm
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目次情報: 続きを見る
Preface to the Second Edition
Preface to the First Edition
Interpolation / 1：
Lagrange Polynomial Interpolation / 1.1：
Cubic Spline Interpolation / 1.2：
Exercises
Further Reading
Numerical Differentiation - Finite Differences / 2：
Construction of Difference Formulas Using Taylor Series / 2.1：
A General Technique for Construction of Finite Difference Schemes / 2.2：
An Alternative Measure for the Accuracy of Finite Differences / 2.3：
Padé Approximations / 2.4：
Non-Uniform Grids / 2.5：
Numerical Integration / 3：
Trapezoidal and Simpson's Rules / 3.1：
Error Analysis / 3.2：
Trapezoidal Rule with End-Correction / 3.3：
Romberg Integration and Richardson Extrapolation / 3.4：
Adaptive Quadrature / 3.5：
Gauss Quadrature / 3.6：
Numerical Solution of Ordinary Differential Equations / 4：
Initial Value Problems / 4.1：
Numerical Stability / 4.2：
Stability Analysis for the Euler Method / 4.3：
Implicit or Backward Euler / 4.4：
Numerical Accuracy Revisited / 4.5：
Trapezoidal Method / 4.6：
Linearization for Implicit Methods / 4.7：
Runge-Kutta Methods / 4.8：
Multi-Step Methods / 4.9：
System of First-Order Ordinary Differential Equations / 4.10：
Boundary Value Problems / 4.11：
Shooting Method / 4.11.1：
Direct Methods / 4.11.2：
Numerical Solution of Partial Differential Equations / 5：
Semi-Discretization / 5.1：
von Neumann Stability Analysis / 5.2：
Modified Wavenumber Analysis / 5.3：
Implicit Time Advancement / 5.4：
Accuracy via Modified Equation / 5.5：
Du Fort-Frankel Method: An Inconsistent Scheme / 5.6：
Multi-Dimensions / 5.7：
Implicit Methods in Higher Dimensions / 5.8：
Approximate Factorization / 5.9：
Stability of the Factored Scheme / 5.9.1：
Alternating Direction Implicit Methods / 5.9.2：
Mixed and Fractional Step Methods / 5.9.3：
Elliptic Partial Differential Equations / 5.10：
Iterative Solution Methods / 5.10.1：
The Point Jacobi Method / 5.10.2：
Gauss-Seidel Method / 5.10.3：
Successive Over Relaxation Scheme / 5.10.4：
Multigrid Acceleration / 5.10.5：
Discrete Transform Methods / 6：
Fourier Series / 6.1：
Discrete Fourier Series / 6.1.1：
Fast Fourier Transform / 6.1.2：
Fourier Transform of a Real Function / 6.1.3：
Discrete Fourier Series in Higher Dimensions / 6.1.4：
Discrete Fourier Transform of a Product of Two Functions / 6.1.5：
Discrete Sine and Cosine Transforms / 6.1.6：
Applications of Discrete Fourier Series / 6.2：
Direct Solution of Finite Differenced Elliptic Equations / 6.2.1：
Differentiation of a Periodic Function Using Fourier Spectral Method / 6.2.2：
Numerical Solution of Linear, Constant Coefficient Differential Equations with Periodic Boundary Conditions / 6.2.3：
Matrix Operator for Fourier Spectral Numerical Differentiation / 6.3：
Discrete Chebyshev Transform and Applications / 6.4：
Numerical Differentiation Using Chebyshev Polynomials / 6.4.1：
Quadrature Using Chebyshev Polynomials / 6.4.2：
Matrix Form of Chebyshev Collocation Derivative / 6.4.3：
Method of Weighted Residuals / 6.5：
The Finite Element Method / 6.6：
Application of the Finite Element Method to a Boundary Value Problem / 6.6.1：
Comparison with Finite Difference Method / 6.6.2：
Comparison with a Padé Scheme / 6.6.3：
A Time-Dependent Problem / 6.6.4：
Application to Complex Domains / 6.7：
Constructing the Basis Functions / 6.7.1：
A Review of Linear Algebra / A：
Vectors, Matrices and Elementary Operations / A.1：
System of Linear Algebraic Equations / A.2：
Effects of Round-off Error / A.2.1：
Operations Counts / A.3：
Eigenvalues and Eigenvectors / A.4：
Index
Preface to the Second Edition
Preface to the First Edition
Interpolation / 1：
2.

図書
図書
2. Annual review of fluid mechanics (v. 1 - v. 49)
Sears, W. R. ; Van Dyke, Milton ; Wehausen, J. V. ; Lumley, John Leask, 1930- ; Reed, Helen L. ; Davis, Stephen H., 1939- ; Moin, Parviz
出版情報: Palo Alto, Calif. : Annual Reviews Inc., 1969-  v. ; 24 cm
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James Lighthill and His Contributions to Fluid Mechanics / TJ Pedley
Steady Streaming / N Riley
On the Fluid Mechanics of Fires / Sheldon R Tieszen
Experiments on Thermocapillary Instabilities / Michael F Schatz ; G Paul Neitzel
Robert Legendre and Henri Werle: Toward the Elucidation of Three-Dimensional Separation / Jean M Delery
Surface Pressure Measurements Using Luminescent Coatings / James H Bell ; Edward T Schairer ; Lawrence A Hand ; Rabindra D Mehta
Rossby Wave Hydraulics / ER Johnson ; SR Clarke
Spin-Up of Homogeneous and Stratified Fluids / PW Duck ; MR Foster
Extrusion Instabilities and Wall Slip / Morton M Denn
Turbulent Relative Dispersion / Brian Sawford
Early Work on Fluid Mechanics in the IC Engine / John L Lumley
Mechanics of Coastal Forms / Paolo Blondeaux
Aerodynamics of High-Speed Trains / Joseph A Schetz
Junction Flows / Roger L Simpson
Modeling of Fluid-Structure Interaction / Earl H Dowell ; Kenneth C Hall
Compression System Stability and Active Control / JD Paduano ; EM Greitzer ; AH Epstein
Spilling Breakers / JH Duncan
Shelterbelts and Windbreaks: Mathematical Modeling and Computer Simulations of Turbulent Flows / Hao Wang ; Eugene S Takle ; Jinmei Shen
Drag Due to Lift: Concepts for Prediction and Reduction / Ilan Kroo
Inertial Effects in Suspension and Porous-Media Flows / Donald L Koch ; Reghan J Hill
Indexes
Subject Index
Cumulative Index of Contributing Authors, Volumes 1-33
Cumulative Index of Chapter Titles, Volumes 1-33
Linear and Nonlinear Models of Anisotropic Turbulence / Claude Cambon ; Julian F. Scott
Transport by Coherent Barotropic Vortices / Antonello Provenzale
Nuclear Magnetic Resonance as a Tool to Study Flow / Eiichi Fukushima
Computational Fluid Dynamics of Whole-Body Aircraft / Ramesh Agarwal
Liquid and Vapor Flow in Superheated Rock / Andrew W. Woods
The Fluid Mechanics of Natural Ventilation / P. F. Linden
Flow Control with Noncircular Jets / E. J. Gutmark ; F. F. Grinstein
Magnetohydrodynamics in Materials Processing / P. A. Davidson
Nonlinear Gravity and Capillary-Gravity Waves / Frederic Dias ; Christian Kharif
Fluid Coating on a Fiber / David Quere
Preconditioning Techniques in Fluid Dynamics / Eli Turkel
A New View of Nonlinear Water Waves: The Hilbert Spectrum / Norden E. Huang ; Zheng Shen ; Steven R. Long
Planetary-Entry Gas Dynamics / Peter A. Gnoffo
Vortex Paradigm for Accelerated Inhomogeneous Flows: Visiometrics for the Raleigh-Taylor and Richtmyer-Meshkov Environments / Norman J. Zabusky
Collapse, Symmetry Breaking, and Hysteresis in Swirling Flows / Vladimir Shtern ; Fazle Hussain
Direct Numerical Simulation of Free-Surface and Interfacial Flow / Ruben Scardovelli ; Stephane Zaleski
Cumulative Index of Contributing Authors, Volumes 1-31
Cumulative Index of Chapter Titles, Volumes 1-31
Frontispiece
Milton Van Dyke, the Man and his Work / Leonard W. Schwartz
G.K. Batchelor and the Homogenization of Turbulence / H.K. Moffatt
David Crighton, 1942-2000: A Commentary on His Career and His Influence on Aeroacoustic Theory / John E. Ffowcs Williams
Sound Propagation Close to the Ground / Keith Attenborough
Elliptical Instability / Richard R. Kerswell
Lagrangian Investigations of Turbulence / P.K. Yeung
Cavitation in Vortical Flows / Roger E.A. Arndt
Microstructural Evolution in Polymer Blends / Charles L. ; Tucker III ; Paula Moldenaers
Cellular Fluid Mechanics / Roger D. Kamm
Dynamical Phenomena in Liquid-Crystalline Materials / Alejandro D. Rey ; Morton M. Denn
Noncoalescence and Nonwetting Behavior of Liquids / G. Paul Neitzel ; Pasquale Dell' Aversana
Boundary-Layer Receptivity to Freestream Disturbances / William S. Saric ; Helen L. Reed ; Edward J. Kerschen
One-Point Closure Models for Buoyancy-Driven Turbulent Flows / K. Hanjalic
Wall-Layer Models for Large-Eddy Simulations / Ugo Piomelli ; Elias Balaras
Filament-Stretching Rheometry of Complex Fluids / Gareth H. McKinley ; Tamarapu Sridhar
Molecular Orientation Effects in Viscoelasticity / Jason K.C. Suen ; Yong Lak Joo ; Robert C. Armstrong
The Richtmyer-Meshkov Instabillity / Martin Brouillette
Ship Wakes and Their Radar Images / Arthur M. Reed ; Jerome H. Milgram
Synthetic Jets / Ari Glezer ; Michael Amitay
Fluid Dynamics of El Nino Variability / Henk A. Dijkstra ; Gerrit Burgers
Internal Gravity Waves: From Instabilities to Turbulence / C. Staquet ; J. Sommeria
Cumulative Index of Contributing Authors, Volumes 1-34
Cumulative Index of Chapter Titles, Volumes 1-34
Stanley Corrsin: 1920-1986 / John L. Lumley ; Stephen H. Davis
Aircraft Icing / Tuncer Cebeci ; Fassi Kafyeke
Water-Wave Impact on Walls / D. H. Peregrine
Mechanisms on Transverse Motions in Turbulent Wall Flows / G. E. Karniadakis ; Kwing-So Choi
Instabilities in Fluidized Beds / Sankaran Sundaresan
Aerodynamics of Small Vehicles / Thomas J. Mueller ; James D. DeLaurier
Material Instability in Complex Fluids / J. D. Goddard
Mixing Efficiency in Stratified Shear Flows / W. R. Peltier ; C. P. Caulfield
The Flow of Human Crowds / Roger L. Hughes
Particle-Turbulence Interactions in Atmospheric Clouds / Raymond A. Shaw
Low-Dimensional Modeling and Numerical Simulation of Transition in Simple Shear Flows / Dietmar Rempfer
Rapid Granular Flows / Isaac Goldhirsch
Bifurcating and Blooming Jets / W. C. Reynolds ; D. E. Parekh ; P. J. D. Juvet ; M. J. D. Lee
Textbook Multigrid Efficiency for Fluid Simulations / James L. Thomas ; Boris Diskin ; Achi Brandt
Level Set Methods for Fluid Interfaces / J. A. Sethian ; Peter Smereka
Small-Scale Hydrodynamics in Lakes / Alfred Wuest ; Andreas Lorke
Stability and Transition of Three-Dimensional Boundary Layers / Edward B. White
Shell Models of Energy Cascade in Turbulence / Luca Biferale
Flow and Dispersion in Urban Areas / R. E. Britter ; S. R. Hanna
Cumulative Index of Contributing Authors, Volumes 1-35
Cumulative Index of Chapter Titles, Volumes 1-35
The Origins of Water Wave Theory / Alex D.D. Craik
Coating Flows / Steven J. Weinstein ; Kenneth J. Ruschak
Langmuir Circulation / S.A. Thorpe
Shock Wave Drag Reduction / Dennis M. Bushnell
Advanced CFD and Modeling of Accidental Explosions / R.S. Cant ; W.N. Dawes ; A.M. Savill
Biofluid Mechanics in Flexible Tubes / James B. Grotberg ; Oliver E. Jensen
Flow-Rate Measurement in Two-Phase Flow / Gary Oddie ; J.R. Anthony Pearson
Turbulent Flows over Rough Walls / Javier Jimenez
Experimental and Computational Methods in Cardiovascular Fluid Mechanics / Charles A. Taylor ; Mary T. Draney
Ray Methods for Internal Waves in the Atmosphere and Ocean / Dave Broutman ; James W. Rottman ; Stephen D. Eckermann
Shape Optimization in Fluid Mechanics / Bijan Mohammadi ; Olivier Pironneau
Vertical Mixing, Energy, and the General Circulation of the Oceans / Carl Wunsch ; Raffaele Ferrari
Modeling Artificial Boundary Conditions for Compressible Flow / Tim Colonius
Shock Wave/Geophysical and Medical Applications / Kazuyoshi Takayama ; Tsutomu Saito
Engineering Flows in Small Devices: Microfluidics Toward A Lab-on-a-Chip / H.A. Stone ; A.D. Stroock ; A. Ajdari
Vortex-Induced Vibrations / C.H.K. Williamson ; R. Govardhan
Cumulative Index of Contributing Authors, Volumes 26-36
Cumulative Index of Chapter Titles, Volumes 26-36
James Lighthill and His Contributions to Fluid Mechanics / TJ Pedley
Steady Streaming / N Riley
On the Fluid Mechanics of Fires / Sheldon R Tieszen
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