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By Hans Detlef Mittelmann, Helmut Weber (auth.), H. D. Mittelmann, H. Weber (eds.)

ISBN-10: 3034862946

ISBN-13: 9783034862943

ISBN-10: 3764312041

ISBN-13: 9783764312046

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Extra resources for Bifurcation Problems and their Numerical Solution: Workshop on Bifurcation Problems and their Numerical Solution Dortmund, January 15–17, 1980

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Math. : Störungsrechnung bei Eigenwert- und Verzweigungsaufgaben, Arch. Rational Mech. Anal. 1 (1957), 436-468 70 Schwartz, J. : Compact analytical mapping of B-spaces and a theorem of Jane Cronin, Comm. Pure Appl. Math. :Une methode numerique en bifurcation-application a un probleme ä frontiere libre de la physique des plasmas, Appl. Math. Optim. : Numeripal computation of branch points in ordinary differential equations, Numer. Math. : Numerical computation of branch points in nonlinear equations, Numer.

H. ): Applications of bifurcation theory, Academic Press, New York 1977 58 Reddien, G. : On Newton's method for singular problems, SIAM 59 Reddien, G. : Newton's method and higher order singularities, J. Numer. Anal. 15 (1978), 993-996 Computer Math. Appl. : Imperfect bifurcation, pp. 37-72, in 1571 61 Rheinboldt, W. : Numerical methods for a class of finite dimensional bifurcation problems, SIAM J. Numer. Anal. 15 (1978), 1-11 62 Rheinboldt, W. , Oden, J. , Wunderlich, W. ): Formulations and computational algorithms in finite element analysis, MIT Press, 1977 Numerical Methods for Bifurcation Problems 63 41 Sattinger, D.

Bouc-Defilippi-Iooss 1121 1979 presented a numerical example of bifurcation into an invariant torus. They treated a smooth differential system u f{u,A,t) depending on a parameter A,f2rr-periodic with respect to time. Galerkin approximations by trigonometrie polynomials and the Runge-Kutta method were used. The buckling imperfect sensitivity of a column resting on a nonlinear elastic foundation is discussed by Hoffmann-Küpper 1241 1978. See also Küpper 110511980. 6. SOME OPEN PROBLEMS Let us only state a few problems in connection with the nume- rical treatment of bifurcation problems which could be investigated more intensively in the future: 1.

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Bifurcation Problems and their Numerical Solution: Workshop on Bifurcation Problems and their Numerical Solution Dortmund, January 15–17, 1980 by Hans Detlef Mittelmann, Helmut Weber (auth.), H. D. Mittelmann, H. Weber (eds.)


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