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The dependence of critical parameter bounds on the monotonicity of a Newton sequence (1979)

Mooney, J. W. ; Voss, H. ; Werner, B.

Springer

Numerische Mathematik 33 (1979), S. 291-301

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ISSN: 0945-3245

Keywords: AMS(MOS): 65N25 ; CR: 5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary A new method is proposed for the inclusion of the critical parameter λ* of some convex operator equationu=λTu (appearing e.g. in thermal explosion theory). It is based on the fact that for a fixed λ Newton's method starting with a suitable subsolution is not monotonically if and only if λ〉λ*. Several numerical examples arising from nonlinear boundary value problems illustrate the efficiency of the method.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01398645

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