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  • 1
    Electronic Resource
    Electronic Resource
    Two-parameter families of predictor-corrector methods for the solution of ordinary differential equations (1979)
    Springer
    BIT 19 (1979), S. 503-517 
    Details
    ISSN: 1572-9125
    Keywords: Ordinary Differential Equations ; Predictor-Corrector Methods ; Regions of Absolute Stability ; Order and Accuracy ; Numerical Experiments
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Two-parameter families of predictor-corrector methods based upon a combination of Adams- and Nyström formulae have been developed. The combinations use correctors of order one higher than that of the predictors. The methods are chosen to give optimal stability properties with respect to a requirement on the form and size of the regions of absolute stability. The optimal methods are listed and their regions of absolute stability are presented. The efficiency of the methods is compared to that of the corresponding Adams methods through numerical results from a variable order, variable stepsize program package.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01931267
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  • 2
    Electronic Resource
    Electronic Resource
    Application of backward differentiation methods to the finite element solution of time-dependent problems (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1051-1061 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The application of finite element methods to parabolic partial differential equations leads to large linear systems of first-order ordinary differential equations. Very often these systems are stiff and difficulties arise in their numerical solution. We attempt to analyse the problem of how to select numerical methods for the solution of such linear systems.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620140708
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    Paper (German National Licenses)
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