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020 _a9780080443713
020 _a0080443710
020 _a9780080531595
_q(electronic bk.)
020 _a0080531598
_q(electronic bk.)
020 _a9781281026934
020 _a128102693X
035 _a(OCoLC)162567625
_z(OCoLC)173845040
_z(OCoLC)441793640
_z(OCoLC)648310018
_z(OCoLC)968996032
_z(OCoLC)1035703995
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082 0 4 _a515.3533
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092 _aWMS162567625
100 1 _aGumerov, Nail A.
245 1 0 _aFast multipole methods for the Helmholtz equation in three dimensions /
_cNail A. Gumerov, Ramani Duraiswami.
260 _aAmsterdam ;
_aLondon :
_bElsevier,
_c2004.
264 4 _c©2004
300 _axxix, 520 pages :
_billustrations (some color) ;
_c24 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bun
_2rdamedia
338 _avolume
_bvl
_2rdacarrier
347 _atext file
_2rda
490 1 _aElsevier series in electromagnetism
504 _aIncludes bibliographical references (pages 509-513) and index.
505 0 _aIntroduction; elementary factored solutions; structure of FMM algorithms; new results on recurrence relations; translation coefficients; transforms of the Helmhlotz equation; properties and representations of translation operators; applications of multipole methods.
520 _aThis volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. The Only book that provides comprehensive coverage of this topic in one location. Presents a review of the basic theory of expansions of the Helmholtz equation solutions Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation.
588 _aDescription based on print version record.
650 0 _aHelmholtz equation.
650 7 _aMATHEMATICS
_xDifferential Equations
_xPartial.
_2bisacsh
650 7 _aHelmholtz equation.
_2fast
_0(OCoLC)fst00954788
700 1 _aDuraiswami, Ramani.
776 0 8 _iPrint version:
_aGumerov, Nail A.
_tFast multipole methods for the Helmholtz equation in three dimensions.
_dAmsterdam ; London : Elsevier, 2004
_z0080443710
_z9780080443713
_w(OCoLC)60416679
830 0 _aElsevier series in electromagnetism.
856 4 0 _3ScienceDirect All Books
_uhttps://www.sciencedirect.com/science/book/9780080443713
942 _2lcc
_cBK
_n0
999 _c1542
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