000 03233nam a22005055i 4500
001 978-3-319-50866-5
003 DE-He213
005 20181204134419.0
007 cr nn 008mamaa
008 170215s2017 gw | s |||| 0|eng d
020 _a9783319508665
_9978-3-319-50866-5
024 7 _a10.1007/978-3-319-50866-5
_2doi
040 _aISI Library, Kolkata
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
100 1 _aMadureira, Alexandre L.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aNumerical Methods and Analysis of Multiscale Problems
_h[electronic resource] /
_cby Alexandre L. Madureira.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aX, 123 p. 31 illus., 9 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 _aSpringerBriefs in Mathematics,
_x2191-8198
505 0 _aIntroductory Material and Finite Element Methods -- A One-dimensional Singular Perturbed Problem -- An Application in Neuroscience: Heterogeneous Cable Equation -- Two-Dimensional Reaction-Diffusion Equations -- Modeling PDEs in Domains with Rough Boundaries -- Partial Differential Equations with Oscillatory Coefficients.
520 _aThis book is about numerical modeling of multiscale problems, and introduces several asymptotic analysis and numerical techniques which are necessary for a proper approximation of equations that depend on different physical scales. Aimed at advanced undergraduate and graduate students in mathematics, engineering and physics – or researchers seeking a no-nonsense approach –, it discusses examples in their simplest possible settings, removing mathematical hurdles that might hinder a clear understanding of the methods. The problems considered are given by singular perturbed reaction advection diffusion equations in one and two-dimensional domains, partial differential equations in domains with rough boundaries, and equations with oscillatory coefficients. This work shows how asymptotic analysis can be used to develop and analyze models and numerical methods that are robust and work well for a wide range of parameters.
650 0 _aNumerical analysis.
650 0 _aDifferential equations, partial.
650 0 _aMathematics.
650 1 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319508641
776 0 8 _iPrinted edition:
_z9783319508658
830 0 _aSpringerBriefs in Mathematics,
_x2191-8198
856 4 0 _uhttps://doi.org/10.1007/978-3-319-50866-5
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427132
_d427132