## Numerical Treatment of Differential Equations: Selection of Papers presented at the Fifth Seminar "NUMDIFF-5" held in Halle, 1989 |

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### Contents

RESULTS ON ORDINARY DIFFERENTIAL EQUATIONS | 7 |

Auzinger W Frank R Kirlinger G Vienna | 16 |

Griopentrog E Greifswald | 26 |

Copyright | |

16 other sections not shown

### Common terms and phrases

analysis applied approximation assume assumption behaviour Bifurcation Theory boundary conditions bounded called coefficients components computation consider consistent constant constraints construct continuous convergence corresponding defined definition denotes depend derivatives described determined difference differential equations discretization discussed element estimate example exists explicit finite formula function give given global error grid Hence holds implicit initial values integration interval Introduction iteration Jacobian leads linear Math Mathematics matrix means mesh methods nonlinear numerical numerical solution obtain operator ordinary differential equations parameter periodic perturbed points polynomials possible present problem Proof properties reduction References regular Remark requires respectively Runge-Kutta methods satisfies scheme simple smooth solution solving space stability stages step stepsize stiff sufficiently Table term Theorem tion unique value problems values variable vector ܐ ܐ ܐ