000			04248nam a22005655i 4500
001			978-3-540-30726-6
003			DE-He213
005			20161121230950.0
007			cr nn 008mamaa
008			100301s2006 gw | s |||| 0|eng d
020			_a9783540307266 _9978-3-540-30726-6
024	7		_a10.1007/978-3-540-30726-6 _2doi
050		4	_aQC6.4.C6
072		7	_aPHD _2bicssc
072		7	_aSCI041000 _2bisacsh
082	0	4	_a531 _223
100	1		_aCanuto, Claudio. _eauthor.
245	1	0	_aSpectral Methods _h[electronic resource] : _bFundamentals in Single Domains / _cby Claudio Canuto, M. Youssuff Hussaini, Alfio Quarteroni, Thomas A. Zang.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006.
300			_aXXII, 581 p. 106 illus., 10 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aScientific Computation, _x1434-8322
505	0		_aPolynomial Approximation -- Basic Approaches to Constructing Spectral Methods -- Algebraic Systems and Solution Techniques -- Polynomial Approximation Theory -- Theory of Stability and Convergence -- Analysis of Model Boundary-Value Problems -- Erratum.
520			_aSince the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988. The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative methods. The second half furnishes a comprehensive discussion of the mathematical theory of spectral methods on single domains, including approximation theory, stability and convergence, and illustrative applications of the theory to model boundary-value problems. Both the algorithmic and theoretical discussions cover spectral methods on tensor-product domains, triangles and tetrahedra. All chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is greatly expanded as are the set of numerical examples that illustrate the key properties of the various types of spectral approximations and the solution algorithms. A companion book "Evolution to Complex Geometries and Applications to Fluid Dynamics" contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries and provides detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries. .
650		0	_aPhysics.
650		0	_aComputer mathematics.
650		0	_aContinuum physics.
650		0	_aFluids.
650		0	_aFluid mechanics.
650	1	4	_aPhysics.
650	2	4	_aClassical Continuum Physics.
650	2	4	_aNumerical and Computational Physics.
650	2	4	_aComputational Mathematics and Numerical Analysis.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aEngineering Fluid Dynamics.
650	2	4	_aFluid- and Aerodynamics.
700	1		_aHussaini, M. Youssuff. _eauthor.
700	1		_aQuarteroni, Alfio. _eauthor.
700	1		_aZang, Thomas A. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540307259
830		0	_aScientific Computation, _x1434-8322
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-540-30726-6
912			_aZDB-2-PHA
950			_aPhysics and Astronomy (Springer-11651)
999			_c506555 _d506555