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  • 1
    Electronic Resource
    Electronic Resource
    Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme (1983)
    Springer
    Numerische Mathematik 41 (1983), S. 223-253 
    Details
    ISSN: 0945-3245
    Keywords: AMS: 65L05 ; 65L10 ; 34D15 CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In this paper we consider singular perturbation problems for ordinary differential operators of ordern and their discrete counterparts on arbitrary nonuniform grids. We prove that the singularly perturbed initial value problem is stable uniformly in the perturbation parameter ε in both the continuous and the discrete case. We use this result to characterize the stability of the corresponding continuous and discrete boundary value problems. If the continuous problem is stable and if the consistency error is smaller than a certain constant, the discrete problem is also stable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01390214
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