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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 application approximation assume assumptions asymptotic asymptotic expansion bifurcation point bifurcation problems boundary value problems Bremen Brouwer degree completely labelled compute consider continuation methods convergence Corollary corrector step curve c(s defined deg f denote differential equations 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 llull map h Math Mathematik matrix 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 smooth solution of nonlinear solving Sperner's lemma spurious solutions standard labelling systems of equations theorem topological triangulation Universitat update vd algorithms zero