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020 _a9783319022970
_9978-3-319-02297-0
024 7 _a10.1007/978-3-319-02297-0
_2doi
050 4 _aQA76.9.A43
072 7 _aUMB
_2bicssc
072 7 _aCOM051300
_2bisacsh
082 0 4 _a005.1
_223
245 1 0 _aComputer Algebra in Scientific Computing
_h[electronic resource] :
_b15th International Workshop, CASC 2013, Berlin, Germany, September 9-13, 2013. Proceedings /
_cedited by Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _aXVI, 443 p. 58 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 Computer Science,
_x0302-9743 ;
_v8136
505 0 _aPolynomial algebra -- the solution of tropical linear systems and tropical polynomial systems -- the theory of matrices -- the use of computer algebra for the investigation of various mathematical and applied topics related to ordinary differential equations -- applications of symbolic computations for solving partial differential equations in mathematical physics -- problems arising at the application of computer algebra methods for finding infinitesimal symmetries -- applications of symbolic and symbolic-numeric algorithms in mechanics and physics -- automatic differentiation -- the application of the CAS Mathematica for the simulation of quantum error correction in quantum computing -- the application of the CAS GAP for the enumeration of Schur rings over the group A5 -- constructive computation of zero separation bounds for arithmetic expressions -- the parallel implementation of fast Fourier transforms with the aid of the Spiral library generation system -- the use of object-oriented languages such as Java or Scala for implementation of categories as type classes -- a survey of industrial applications of approximate computer algebra.
520 _aThis book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2013, held in Berlin, Germany, in September 2013. The 33 full papers presented were carefully reviewed and selected for inclusion in this book. The papers address issues such as polynomial algebra; the solution of tropical linear systems and tropical polynomial systems; the theory of matrices; the use of computer algebra for the investigation of various mathematical and applied topics related to ordinary differential equations (ODEs); applications of symbolic computations for solving partial differential equations (PDEs) in mathematical physics; problems arising at the application of computer algebra methods for finding infinitesimal symmetries; applications of symbolic and symbolic-numeric algorithms in mechanics and physics; automatic differentiation; the application of the CAS Mathematica for the simulation of quantum error correction in quantum computing; the application of the CAS GAP for the enumeration of Schur rings over the group A5; constructive computation of zero separation bounds for arithmetic expressions; the parallel implementation of fast Fourier transforms with the aid of the Spiral library generation system; the use of object-oriented languages such as Java or Scala for implementation of categories as type classes; a survey of industrial applications of approximate computer algebra.
650 0 _aComputer science.
650 0 _aArithmetic and logic units, Computer.
650 0 _aAlgorithms.
650 0 _aNumerical analysis.
650 0 _aComputer science
_xMathematics.
650 0 _aComputer graphics.
650 1 4 _aComputer Science.
650 2 4 _aAlgorithm Analysis and Problem Complexity.
650 2 4 _aDiscrete Mathematics in Computer Science.
650 2 4 _aSymbolic and Algebraic Manipulation.
650 2 4 _aComputer Graphics.
650 2 4 _aNumeric Computing.
650 2 4 _aArithmetic and Logic Structures.
700 1 _aGerdt, Vladimir P.
_eeditor.
700 1 _aKoepf, Wolfram.
_eeditor.
700 1 _aMayr, Ernst W.
_eeditor.
700 1 _aVorozhtsov, Evgenii V.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319022963
830 0 _aLecture Notes in Computer Science,
_x0302-9743 ;
_v8136
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-02297-0
912 _aZDB-2-SCS
912 _aZDB-2-LNC
942 _2Dewey Decimal Classification
_ceBooks
999 _c45512
_d45512