000 03196nam a22005055i 4500
001 978-0-387-68855-8
003 DE-He213
005 20181204132642.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387688558
_9978-0-387-68855-8
024 7 _a10.1007/978-0-387-68855-8
_2doi
040 _aISI Library, Kolkata
050 4 _aQA307
050 4 _aQA432
072 7 _aPBKL
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKL
_2thema
082 0 4 _a515.72
_223
100 1 _aCohen, Alan M.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aNumerical Methods for Laplace Transform Inversion
_h[electronic resource] /
_cby Alan M. Cohen.
264 1 _aBoston, MA :
_bSpringer US,
_c2007.
300 _aXIV, 252 p. 25 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aNumerical Methods and Algorithms,
_x1571-5698 ;
_v5
505 0 _aBasic Results -- Inversion Formulae and Practical Results -- The Method of Series Expansion -- Quadrature Methods -- Rational Approximation Methods -- The Method of Talbot -- Methods based on the Post-Widder Inversion Formula -- The Method of Regularization -- Survey Results -- Applications.
520 _aOperational methods have been used for over a century to solve many problems—for example, ordinary and partial differential equations. In many problems it is fairly easy to obtain the Laplace transform, but it can be very demanding to determine the inverse Laplace transform that is the solution of the given problem. Sometimes, after some difficult contour integration, we find that a series solution results, but even this may be quite difficult to evaluate in order to get an answer at a particular time value. The advent of computers has given an impetus to developing numerical methods for the determination of the inverse Laplace transform. This book gives background material on the theory of Laplace transforms together with a comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Audience This book is intended for engineers, scientists, mathematicians, statisticians and financial planners.
650 0 _aIntegral Transforms.
650 0 _aEngineering mathematics.
650 1 4 _aIntegral Transforms, Operational Calculus.
_0http://scigraph.springernature.com/things/product-market-codes/M12112
650 2 4 _aMathematical and Computational Engineering.
_0http://scigraph.springernature.com/things/product-market-codes/T11006
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441939319
776 0 8 _iPrinted edition:
_z9780387508931
776 0 8 _iPrinted edition:
_z9780387282619
830 0 _aNumerical Methods and Algorithms,
_x1571-5698 ;
_v5
856 4 0 _uhttps://doi.org/10.1007/978-0-387-68855-8
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425408
_d425408