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Some analytic techniques for parametrized nonlinear equations and their discretizations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1005)

Keywords

  • Local Parametrization
  • Fredholm Operator
  • Nonlinear Eigenvalue Problem
  • Approximate Problem
  • Inverse Function Theorem

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References

  1. I. Babuška and W. C. Rheinboldt, Computational error estimates and adaptive processes for some nonlinear structural problems, Univ. of Pittsburgh, Inst. for Comp. Math. and Applications, Tech. Report ICMA-82-28, 1981, to appear in Comp. Meth. in Appl. Mech. and Eng.

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  2. Yu. G. Borisovich, V. G. Zvyagin and Yu. I. Sapronov, Nonlinear Fredholm maps and the Leray-Schauder theory, Russian Math. Surveys, 32:4, 1977, 1–54.

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  6. J. P. Fink and W. C. Rheinboldt, On the error behavior of the reduced basis technique for nonlinear finite element approximations, Univ. of Pittsburgh, Inst. for Comp. Math. and Applications, Tech. Report ICMA-82-37, April 1982.

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  8. H. B. Keller, Numerical solution of bifurcation and nonlinear eigenvalue problems, in "Applications of Bifurcation Theory," ed. by P. Rabinowitz, Academic Press, New York, 1977.

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© 1983 Springer-Verlag

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Fink, J.P., Rheinboldt, W.C. (1983). Some analytic techniques for parametrized nonlinear equations and their discretizations. In: Numerical Methods. Lecture Notes in Mathematics, vol 1005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0112528

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  • DOI: https://doi.org/10.1007/BFb0112528

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12334-7

  • Online ISBN: 978-3-540-40967-0

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