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  • Engineering General  (3)
  • 1
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 9 (1993), S. 595-605 
    ISSN: 1069-8299
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A systematic procedure is presented to derive stability conditions for leap-frog-type finite-difference schemes for the multidimensional constant-coefficient convective-diffusion equation. The treatise includes von Neumann stability analysis for pure initial-value problems and matrix stability analysis for Dirichlet boundary-value problems. Discrepancies on time-step restriction between von Neumann stability analysis and matrix stability analysis are observed.
    Additional Material: 1 Tab.
    Type of Medium: Electronic Resource
    Location Call Number Limitation Availability
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 7 (1991), S. 639-647 
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A systematic approach is presented to search for a two-level six-point finite difference of Padé type for the numerical solution of the quantum mechanical equation of motion. A family of second order accurate Pade schemes is obtained and the stability properties are analysed by the von Neumann and matrix methods. Also, a similar stability analysis is also performed for a family of two-level first order accurate upwinding difference schemes by the von Neumann and matrix methods. Discrepancies between the stability results obtained by the von Neumann and matrix methods are observed.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    Location Call Number Limitation Availability
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 7 (1991), S. 19-28 
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The incompressible potential flow over a perturbed body is used as a model to shed light into the nature of the nearest singularity of a perturbation series. The solutions for various physical quantities are developed as a formal perturbation expansion in powers of a parameter up to 30 terms. The tedious computation is relegated to a computer. The calculations reveal that the location and structure of the nearest singularity of a pertubation series do change with the field point at the which the series is evaluated. Also the radius of convergence and behaviour of the perturbation series do depend significantly on the choice of the physical quantities. These results may provide salutary information for the analysis of computer extended pertubation series.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    Location Call Number Limitation Availability
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