JournalszaaVol. 20, No. 1pp. 183–192

A Discretised Nonlinear Eigenvalue Problem with Many Spurious Branches of Solutions

  • Charles A. Stuart

    Ecole Polytechnique Federale, Lausanne, Switzerland
  • Gregory Vuillaume

    Ecole Polytechnique Federale, Lausanne, Switzerland
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Abstract

We treat an example of a nonlinear eigenvalue problem in L2(0,1)L^2(0,1) which can be solved explicitly. It has a single branch of non-trivial solutions. Discretisation reduces the problem to a finite-dimensional one having many branches of non-trivial solutions. We investigate the convergence of these approximate solutions.

Cite this article

Charles A. Stuart, Gregory Vuillaume, A Discretised Nonlinear Eigenvalue Problem with Many Spurious Branches of Solutions. Z. Anal. Anwend. 20 (2001), no. 1, pp. 183–192

DOI 10.4171/ZAA/1009