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010   $a3-540-46158-2
024 7 $a10.1007/BFb0020591
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035   $a(PQKBTitleCode)TC0000324161
035   $a(PQKBWorkID)10312519
035   $a(PQKB)10477954
035   $a(DE-He213)978-3-540-46158-6
035   $a(PPN)155198300
035   $a(EXLCZ)991000000000233388
100   $a20121227d1989      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 13$aAn Introduction to the Numerical Analysis of Spectral Methods$b[electronic resource] /$fby Bertrand Mercier
205   $a1st ed. 1989.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1989.
215   $a1 online resource (V, 154 p. 1 illus.) 
225 1 $aLecture Notes in Physics,$x0075-8450 ;$v318
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-51106-7 
330   $aThis is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev's. The author gives rigorous proofs of fundamental results related to one-dimensional advection and diffusions equations. The book addresses students as well as practitioners of numerical analysis.
410  0$aLecture Notes in Physics,$x0075-8450 ;$v318
606   $aPhysics
606   $aFluids
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aNumerical analysis
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021
606   $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
615  0$aPhysics.
615  0$aFluids.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aNumerical analysis.
615 14$aMathematical Methods in Physics.
615 24$aNumerical and Computational Physics, Simulation.
615 24$aFluid- and Aerodynamics.
615 24$aMathematical and Computational Engineering.
615 24$aNumerical Analysis.
676   $a530.15
700   $aMercier$b Bertrand$4aut$4http://id.loc.gov/vocabulary/relators/aut$020660
906   $aBOOK
912   $a996466803703316
996   $aIntroduction to the numerical analysis of spectral methods$9125543
997   $aUNISA