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008 121227s1992 gw | s |||| 0|eng d
020 _a9783540467830
_9978-3-540-46783-0
024 7 _a10.1007/978-3-540-46783-0
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
100 1 _aFunaro, Daniele.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPolynomial Approximation of Differential Equations
_h[electronic resource] /
_cby Daniele Funaro.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
300 _aX, 305 p. 3 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v8
505 0 _aSpecial Families of Polynomials -- Orthogonality -- Numerical Integration -- Transforms -- Functional Spaces -- Results in Approximation Theory -- Derivative Matrices -- Eigenvalue Analysis -- Ordinary Differential Equations -- Time-Dependent Problems -- Domain-Decomposition Methods -- Examples -- An Example in Two Dimensions.
520 _aThis book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial ap­ plications were concerned with the investigation of periodic solutions of boundary value problems using trigonometric polynomials. Subsequently, the analysis was extended to algebraic polynomials. Expansions in orthogonal basis functions were preferred, due to their high accuracy and flexibility in computations. The aim of this book is to present a preliminary mathematical background for be­ ginners who wish to study and perform numerical experiments, or who wish to improve their skill in order to tackle more specific applications. In addition, it furnishes a com­ prehensive collection of basic formulas and theorems that are useful for implementations at any level of complexity. We tried to maintain an elementary exposition so that no experience in functional analysis is required.
650 0 _aMathematical physics.
650 0 _aNumerical analysis.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aNumerical and Computational Physics, Simulation.
_0http://scigraph.springernature.com/things/product-market-codes/P19021
650 2 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662138786
776 0 8 _iPrinted edition:
_z9783662138779
776 0 8 _iPrinted edition:
_z9783540552307
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v8
856 4 0 _uhttps://doi.org/10.1007/978-3-540-46783-0
912 _aZDB-2-PHA
912 _aZDB-2-LNP
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