000 03420nam a22005295i 4500
001 978-3-319-05954-9
003 DE-He213
005 20200421111204.0
007 cr nn 008mamaa
008 140410s2014 gw | s |||| 0|eng d
020 _a9783319059549
_9978-3-319-05954-9
024 7 _a10.1007/978-3-319-05954-9
_2doi
050 4 _aTA357-359
072 7 _aTGMF
_2bicssc
072 7 _aTGMF1
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI085000
_2bisacsh
082 0 4 _a620.1064
_223
100 1 _aHromadka, Theodore.
_eauthor.
245 1 0 _aFoundations of the Complex Variable Boundary Element Method
_h[electronic resource] /
_cby Theodore Hromadka, Robert Whitley.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXII, 80 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-530X
505 0 _aThe Heat Equation -- Metric Spaces -- Banach Spaces -- Power Series -- The R2 Dirichlet Problem -- The RN Dirichlet Problem.
520 _aThis book explains and examines the theoretical underpinnings of the Complex Variable Boundary Element Method (CVBEM) as applied to higher dimensions, providing the reader with the tools for extending and using the CVBEM in various applications. Relevant mathematics and principles are assembled and the reader is guided through the key topics necessary for an understanding of the development of the CVBEM in both the usual two- as well as three- or higher dimensions. In addition to this, problems are provided that build upon the material presented. The Complex Variable Boundary Element Method (CVBEM) is an approximation method useful for solving problems involving the Laplace equation in two dimensions. It has been shown to be a useful modelling technique for solving two-dimensional problems involving the Laplace or Poisson equations on arbitrary domains. The CVBEM has recently been extended to 3 or higher spatial dimensions, which enables the precision of the CVBEM in solving the Laplace equation to be now available for multiple dimensions. The mathematical underpinnings of the CVBEM, as well as the extension to higher dimensions, involve several areas of applied and pure mathematics including Banach Spaces, Hilbert Spaces, among other topics. This book is intended for applied mathematics graduate students, engineering students or practitioners, developers of industrial applications involving the Laplace or Poisson equations, and developers of computer modelling applications.
650 0 _aEngineering.
650 0 _aComputer simulation.
650 0 _aMathematical models.
650 0 _aFluid mechanics.
650 1 4 _aEngineering.
650 2 4 _aEngineering Fluid Dynamics.
650 2 4 _aSimulation and Modeling.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
700 1 _aWhitley, Robert.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319059532
830 0 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-530X
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-05954-9
912 _aZDB-2-ENG
942 _cEBK
999 _c54021
_d54021