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Numerische Behandlung von Verzweigungsproblemen bei gewöhnlichen Differentialgleichungen (1979)

Weber, Helmut

Springer

Numerische Mathematik 32 (1979), S. 17-29

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ISSN: 0945-3245

Keywords: AMS(MOS): 65L10 ; CR: 5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary We present a new method for the numerical solution of bifurcation problems for ordinary differential equations. It is based on a modification of the classical Ljapunov-Schmidt-theory. We transform the problem of determining the nontrivial branch bifurcating from the trivial solution into the problem of solving regular nonlinear boundary value problems, which can be treated numerically by standard methods (multiple shooting, difference methods).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01397647

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