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024 7 _a10.1007/978-3-319-02297-0
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072 7 _aCOM051300
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082 0 4 _a518.1
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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.
250 _a1st ed. 2013.
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
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490 1 _aTheoretical Computer Science and General Issues,
_x2512-2029 ;
_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 _aAlgorithms.
_93390
650 0 _aComputer science
_xMathematics.
_93866
650 0 _aDiscrete mathematics.
_912873
650 0 _aComputer graphics.
_94088
650 0 _aNumerical analysis.
_94603
650 0 _aComputer arithmetic and logic units.
_936750
650 1 4 _aAlgorithms.
_93390
650 2 4 _aDiscrete Mathematics in Computer Science.
_931837
650 2 4 _aSymbolic and Algebraic Manipulation.
_955589
650 2 4 _aComputer Graphics.
_94088
650 2 4 _aNumerical Analysis.
_94603
650 2 4 _aArithmetic and Logic Structures.
_936752
700 1 _aGerdt, Vladimir P.
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700 1 _aKoepf, Wolfram.
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700 1 _aMayr, Ernst W.
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700 1 _aVorozhtsov, Evgenii V.
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776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
_z9783319022987
830 0 _aTheoretical Computer Science and General Issues,
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856 4 0 _uhttps://doi.org/10.1007/978-3-319-02297-0
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