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ALLGOWER K BOHMER and S MC CORMICK
K H BECKER R SEYDEL
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2n-labelling Academic Press Allgower applications approximation assume assumptions asymptotic asymptotic expansion Banach spaces bifurcation point bifurcation problems boundary value problems Bremen Brouwer degree completely labelled compute continuation methods convergence corrector step curve c(s defined deg f denote dimensional discrete correction discrete Newton methods elliptic error example exists Figure finite difference fixed point function given global grid Hence homeomorphic homotopy integration Jacobian labelling rule lemma linear map h Math Mathematik matrix mesh Newton method nonlinear equations null space numerical solution obtain operator ordinary differential equations oscillating parameter path Peitgen periodic solutions perturbation phase plane piecewise predictor step proof regular value Richardson extrapolation s-complete satisfied secondary bifurcation Section sequence SIAM simplex simplicial smooth solution of nonlinear solving Sperner's lemma spurious solutions standard labelling systems of equations theorem topological triangulation update vd algorithms zero