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OverviewFull Product DetailsAuthor: Roger PeyretPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of hardcover 1st ed. 2002 Volume: 148 Dimensions: Width: 15.50cm , Height: 2.30cm , Length: 23.50cm Weight: 1.380kg ISBN: 9781441929136ISBN 10: 1441929134 Pages: 434 Publication Date: 03 December 2010 Audience: Professional and scholarly , Professional and scholarly , General/trade , Professional & Vocational , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI Basic spectral methods.- 1 Fundamentals of spectral methods.- 2 Fourier Method.- 3 Chebyshev method.- 4 Time-dependent equations.- II. Navier-Stokes equations.- 5 Navier-Stokes equations for incompressible fluids.- 6 Vorticity-Streamfunction Equations.- 7 Velocity-Pressure Equations.- III Special topics.- 8 Stiff and singular problems.- 9 Domain Decomposition Method.- Appendix A Formulas on Chebyshev polynomials.- A.1 Definition and general properties.- A.2 Differentiation.- A.3 Collocation points.- A.4 Truncated series expansion.- A.5 Lagrange interpolation polynomial.- A.6 Derivatives at Gauss-Lobatto points.- A.7 Integration.- A.8 Numerical integration based on Gauss-Lobatto points.- Appendix B Solution of a quasi-tridiagonal system.- Appendix C Theorems on the zeros of a polynomial.- References.Reviews"From the reviews: ""Spectral Methods for Incompressible Viscous Flow is a clear, thorough, and authoritative book … . The author, throughout the book, frequently points out topics that are beyond the scope of this book and gives references to where such information is found. This makes the book an excellent resource for the entire field. … this is an excellent book, which can serve both as a textbook for those who want to learn about spectral methods, as well as a reference for practitioners solving the Navier-Stokes equations."" (Sigal Gottlieb and David Gottlieb, SIAM Review, Vol. 45 (2), 2003) ""The importance of spectral methods in obtaining the solutions of boundary value problems in a variety of situations of physical and engineering interest is well-known. … This book gives a good understanding of spectral methods which deal with the flows of incompressible viscous fluid governed by Navier-Stokes equations. … On the whole, this book is an excellent text for graduate students or researchers interested in learning spectral methods and in their application to incompressible fluid flows, and is a good addition to any library."" (Adabala Ramachandra Rao, Zentralblatt MATH, Vol. 1005, 2003) ""The author sets out ‘to provide a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incompressible viscous flows, based on the Navier-Stokes equations.’ He has succeeded admirably. The book … provides a clear exposition of the associated computational techniques, and gives information on the implementation of these techniques. … It will appeal to applied mathematicians and CFD-oriented engineers at the post-graduate level and to anyone teaching or undertaking research on problems described by the Navier-Stokes equations. This book is highly recommended."" (G de Vahl Davis, Applied Mechanics Reviews, Vol. 56 (1), 2003)" From the reviews: Spectral Methods for Incompressible Viscous Flow is a clear, thorough, and authoritative book ... . The author, throughout the book, frequently points out topics that are beyond the scope of this book and gives references to where such information is found. This makes the book an excellent resource for the entire field. ... this is an excellent book, which can serve both as a textbook for those who want to learn about spectral methods, as well as a reference for practitioners solving the Navier-Stokes equations. (Sigal Gottlieb and David Gottlieb, SIAM Review, Vol. 45 (2), 2003) The importance of spectral methods in obtaining the solutions of boundary value problems in a variety of situations of physical and engineering interest is well-known. ... This book gives a good understanding of spectral methods which deal with the flows of incompressible viscous fluid governed by Navier-Stokes equations. ... On the whole, this book is an excellent text for graduate students or researchers interested in learning spectral methods and in their application to incompressible fluid flows, and is a good addition to any library. (Adabala Ramachandra Rao, Zentralblatt MATH, Vol. 1005, 2003) The author sets out 'to provide a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incompressible viscous flows, based on the Navier-Stokes equations.' He has succeeded admirably. The book ... provides a clear exposition of the associated computational techniques, and gives information on the implementation of these techniques. ... It will appeal to applied mathematicians and CFD-oriented engineers at the post-graduate level and to anyone teaching or undertaking research on problems described by the Navier-Stokes equations. This book is highly recommended. (G de Vahl Davis, Applied Mechanics Reviews, Vol. 56 (1), 2003) From the reviews: Spectral Methods for Incompressible Viscous Flow is a clear, thorough, and authoritative book ... . The author, throughout the book, frequently points out topics that are beyond the scope of this book and gives references to where such information is found. This makes the book an excellent resource for the entire field. ... this is an excellent book, which can serve both as a textbook for those who want to learn about spectral methods, as well as a reference for practitioners solving the Navier-Stokes equations. (Sigal Gottlieb and David Gottlieb, SIAM Review, Vol. 45 (2), 2003) The importance of spectral methods in obtaining the solutions of boundary value problems in a variety of situations of physical and engineering interest is well-known. ... This book gives a good understanding of spectral methods which deal with the flows of incompressible viscous fluid governed by Navier-Stokes equations. ... On the whole, this book is an excellent text for graduate students or researchers interested in learning spectral methods and in their application to incompressible fluid flows, and is a good addition to any library. (Adabala Ramachandra Rao, Zentralblatt MATH, Vol. 1005, 2003) The author sets out `to provide a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incompressible viscous flows, based on the Navier-Stokes equations.' He has succeeded admirably. The book ... provides a clear exposition of the associated computational techniques, and gives information on the implementation of these techniques. ... It will appeal to applied mathematicians and CFD-oriented engineers at the post-graduate level and to anyone teaching or undertaking research on problems described by the Navier-Stokes equations. This book is highly recommended. (G de Vahl Davis, Applied Mechanics Reviews, Vol. 56 (1), 2003) From the reviews: Spectral Methods for Incompressible Viscous Flow is a clear, thorough, and authoritative book ! . The author, throughout the book, frequently points out topics that are beyond the scope of this book and gives references to where such information is found. This makes the book an excellent resource for the entire field. ! this is an excellent book, which can serve both as a textbook for those who want to learn about spectral methods, as well as a reference for practitioners solving the Navier-Stokes equations. (Sigal Gottlieb and David Gottlieb, SIAM Review, Vol. 45 (2), 2003) The importance of spectral methods in obtaining the solutions of boundary value problems in a variety of situations of physical and engineering interest is well-known. ! This book gives a good understanding of spectral methods which deal with the flows of incompressible viscous fluid governed by Navier-Stokes equations. ! On the whole, this book is an excellent text for graduate students or researchers interested in learning spectral methods and in their application to incompressible fluid flows, and is a good addition to any library. (Adabala Ramachandra Rao, Zentralblatt MATH, Vol. 1005, 2003) The author sets out 'to provide a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incompressible viscous flows, based on the Navier-Stokes equations.' He has succeeded admirably. The book ! provides a clear exposition of the associated computational techniques, and gives information on the implementation of these techniques. ! It will appeal to applied mathematicians and CFD-oriented engineers at the post-graduate level and to anyone teaching or undertaking research on problems described by the Navier-Stokes equations. This book is highly recommended. (G de Vahl Davis, Applied Mechanics Reviews, Vol. 56 (1), 2003) Author InformationTab Content 6Author Website:Countries AvailableAll regions |