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Volumn 60, Issue , 2001, Pages 145-157

On the role of mathematical abstractions for scientific computing

Author keywords

Abstraction; Coordinate free numerics; Object oriented modeling; PDE simulation

Indexed keywords

MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; REUSABILITY;

EID: 84901949617     PISSN: 18684238     EISSN: None     Source Type: Journal    
DOI: 10.1007/978-0-387-35407-1_9     Document Type: Article
Times cited : (12)

References (20)
  • 1
    • 0003496039 scopus 로고    scopus 로고
    • PhD thesis, Uppsala University, Dept. of Scientific Computing, Uppsala, Sweden
    • K. Ahlander. An Object-Oriented Framework for PDE Solvers. PhD thesis, Uppsala University, Dept. of Scientific Computing, Uppsala, Sweden, 1999.
    • (1999) An Object-Oriented Framework for PDE Solvers.
    • Ahlander, K.1
  • 4
    • 0002642880 scopus 로고    scopus 로고
    • Overture: An objectoriented framework for solving partial differential equations on overlapping grids
    • In S. L. L. M. E. Henderson and C. R. Anderson, editors, ch. 26, Philadelphia, SIAM
    • D. Brown, W. Henshaw, and D. Quinlan. Overture: An objectoriented framework for solving partial differential equations on overlapping grids. In S. L. L. M. E. Henderson and C. R. Anderson, editors, Object-oriented Methods for Interoperable Scientific and Engineering Computing, ch. 26, Philadelphia, 1999. SIAM.
    • (1999) Object-oriented Methods for Interoperable Scientific and Engineering Computing
    • Brown, D.1    Henshaw, W.2    Quinlan, D.3
  • 5
    • 0002057154 scopus 로고    scopus 로고
    • A comprehensive set of tools for solving partial differential equations; Diffpack
    • In M. Drehlen and A. Tveito, editors. Birkhauser, Boston
    • A. M. Bruaset and H. P. Langtangen. A comprehensive set of tools for solving partial differential equations; Diffpack. In M. Drehlen and A. Tveito, editors, Numerical Methods and Software Tools in Industrial Mathematics, pages 61-90. Birkhauser, Boston, 1997.
    • (1997) Numerical Methods and Software Tools in Industrial Mathematics , pp. 61-90
    • Bruaset, A.M.1    Langtangen, H.P.2
  • 6
    • 0003244369 scopus 로고    scopus 로고
    • Rapid application development and enhanced code interoperability using the POOMA framework
    • In S. L. L. M. E. Henderson and C. R. Anderson, editors. ch. 29, Philadelphia, SIAM
    • J. C. Cummings et al. Rapid application development and enhanced code interoperability using the POOMA framework. In S. L. L. M. E. Henderson and C. R. Anderson, editors, Objectoriented Methods for Interoperable Scientific and Engineering Computing, ch. 29, Philadelphia, 1999. SIAM.
    • (1999) Objectoriented Methods for Interoperable Scientific and Engineering Computing
    • Cummings, J.C.1
  • 9
    • 70749121192 scopus 로고    scopus 로고
    • Coordinate free programming of computational fluid dynamics problems
    • Accepted for publication
    • P. Grant, M. Haveraaen, and M. Webster. Coordinate free programming of computational fluid dynamics problems. Scientific Programming, 2000. Accepted for publication.
    • (2000) Scientific Programming
    • Grant, P.1    Haveraaen, M.2    Webster, M.3
  • 10
    • 84901923387 scopus 로고    scopus 로고
    • Abstractions for programming parallel machines
    • Accepted for publication
    • M. Haveraaen. Abstractions for programming parallel machines. Scientific Programming, 2000. Accepted for publication.
    • (2000) Scientific Programming
    • Haveraaen, M.1
  • 12
    • 85001667552 scopus 로고    scopus 로고
    • Lie-group methods
    • A. Iserles et al. Lie-group methods. Acta Numerica, 9:215-365, 2000.
    • Acta Numerica , vol.9 , pp. 215-365
    • Iserles, A.1
  • 15
    • 21344442342 scopus 로고    scopus 로고
    • Coordinate free numerics-closing the gap between 'pure' and 'applied' mathematics?
    • H. Munthe-Kaas and M. Haveraaen. Coordinate free numerics-closing the gap between 'pure' and 'applied' mathematics? Zeitschrift fuer Angewandte Mathematik und Mechanik, 76, supplement 1:487-488, 1996.
    • (1996) Zeitschrift fuer Angewandte Mathematik und Mechanik , vol.76 , pp. 487-488
    • Munthe-Kaas, H.1    Haveraaen, M.2
  • 20
    • 0012096206 scopus 로고    scopus 로고
    • Object-oriented construction of parallel PDE solvers
    • In E. Arge, A. M. Bruaset, and H. P. Langtangen, editors. Birkhauser
    • M. Thune et al. Object-oriented construction of parallel PDE solvers. In E. Arge, A. M. Bruaset, and H. P. Langtangen, editors, Modern Software Tools for Scientific Computing, pages 203-226. Birkhauser, 1997.
    • (1997) Modern Software Tools for Scientific Computing , pp. 203-226
    • Thune, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.