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Spectral Methods Evolution to Complex Geometries and Applications to 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 their 1988 boo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2007.
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| Edición: | 1st ed. 2007. |
| Colección: | Scientific Computation,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-30728-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220116105934.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 gw | s |||| 0|eng d | ||
| 020 | |a 9783540307280 |9 978-3-540-30728-0 | ||
| 024 | 7 | |a 10.1007/978-3-540-30728-0 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.7 |2 23 |
| 100 | 1 | |a Canuto, Claudio. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Spectral Methods |h [electronic resource] : |b Evolution to Complex Geometries and Applications to Fluid Dynamics / |c by Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang. |
| 250 | |a 1st ed. 2007. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2007. | |
| 300 | |a XXX, 596 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Scientific Computation, |x 2198-2589 | |
| 505 | 0 | |a Fundamentals of Fluid Dynamics -- Single-Domain Algorithms and Applications for Stability Analysis -- Single-Domain Algorithms and Applications for Incompressible Flows -- Single-Domain Algorithms and Applications for Compressible Flows -- Discretization Strategies for Spectral Methods in Complex Domains -- Solution Strategies for Spectral Methods in Complex Domains -- General Algorithms for Incompressible Navier-Stokes Equations -- Spectral Methods Primer. | |
| 520 | |a 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 their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since then. This second new treatment, Evolution to Complex Geometries and Applications to Fluid Dynamics, provides an extensive overview of the essential algorithmic and theoretical aspects of spectral methods for complex geometries, in addition to detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries. Modern strategies for constructing spectral approximations in complex domains, such as spectral elements, mortar elements, and discontinuous Galerkin methods, as well as patching collocation, are introduced, analyzed, and demonstrated by means of numerous numerical examples. Representative simulations from continuum mechanics are also shown. Efficient domain decomposition preconditioners (of both Schwarz and Schur type) that are amenable to parallel implementation are surveyed. The discussion of spectral algorithms for fluid dynamics in single domains focuses on proven algorithms for the boundary-layer equations, linear and nonlinear stability analyses, incompressible Navier-Stokes problems, and both inviscid and viscous compressible flows. An overview of the modern approach to computing incompressible flows in general geometries using high-order, spectral discretizations is also provided. The recent companion book 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 essential concepts and formulas from this book are included in the current text for the reader's convenience. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Continuum mechanics. | |
| 650 | 0 | |a Fluid mechanics. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Continuum Mechanics. |
| 650 | 2 | 4 | |a Engineering Fluid Dynamics. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 700 | 1 | |a Hussaini, M. Yousuff. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Quarteroni, Alfio. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Zang, Thomas A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540818489 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540307273 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642433955 |
| 830 | 0 | |a Scientific Computation, |x 2198-2589 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-540-30728-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||