03188nam 22006735 450 99646680370331620200629154225.03-540-46158-210.1007/BFb0020591(CKB)1000000000233388(SSID)ssj0000324161(PQKBManifestationID)12064883(PQKBTitleCode)TC0000324161(PQKBWorkID)10312519(PQKB)10477954(DE-He213)978-3-540-46158-6(PPN)155198300(EXLCZ)99100000000023338820121227d1989 u| 0engurnn|008mamaatxtccrAn Introduction to the Numerical Analysis of Spectral Methods[electronic resource] /by Bertrand Mercier1st ed. 1989.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1989.1 online resource (V, 154 p. 1 illus.) Lecture Notes in Physics,0075-8450 ;318Bibliographic Level Mode of Issuance: Monograph3-540-51106-7 This 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.Lecture Notes in Physics,0075-8450 ;318PhysicsFluidsApplied mathematicsEngineering mathematicsNumerical analysisMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Fluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Physics.Fluids.Applied mathematics.Engineering mathematics.Numerical analysis.Mathematical Methods in Physics.Numerical and Computational Physics, Simulation.Fluid- and Aerodynamics.Mathematical and Computational Engineering.Numerical Analysis.530.15Mercier Bertrandauthttp://id.loc.gov/vocabulary/relators/aut20660BOOK996466803703316Introduction to the numerical analysis of spectral methods125543UNISA