000			02856 a2200301 4500
003			OSt
005			20240918124623.0
008			240909b |||||||| |||| 00| 0 eng d
020			_a9783540522058
040			_aICTS-TIFR
050			_aQA377 .S676
100			_aCanuto, Claudio
245			_aSpectral methods in fluid dynamics
260			_bSpringer-Verlag Berlin, _aHeidelberg: _c[c1988]
300			_a567 p.
490			_aSpringer series in computational physics
505			_a1. Introduction 2. Spectral Approximation 3. Fundamentals of Spectral Methods for PDEs 4. Temporal Discretization 5. Solution Techniques for Implicit Spectral Equations 6. Simple Incompressible Flows 7. Some Algorithms for Unsteady Navier—Stokes Equations 8. Compressible Flow 9. Global Approximation Results 10. Theory of Stability and Convergence for Spectral Methods 11. Steady, Smooth Problems 12. Transient, Smooth Problems 13. Domain Decomposition Methods
520			_aThis is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero­ dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.---summary provided by publisher
650			_aPartial differential equations
650			_aNumerical solutions
650			_aNumerical analysis
650			_aFluid dynamics
700			_aHussaini, M. Yousuff
700			_aQuarteroni, Alfio
700			_aZang, Thomas A.
856			_uhttps://doi.org/10.1007/978-3-642-84108-8
942			_2lcc _cBK
999			_c35124 _d35124