Numerical treatment of differential equations : proceedings of a conference held at Oberwolfach, July 4-10, 1976 / R. Bulirsch, R. D. Grigorieff, and J. Schröder

Table of Contents: R. Bulirsch, R. D. Grigorieff and J. Schröder, Preface (p. iii); Addresses of the authors (pp. vii-ix); G. Alefeld, Some convergence results for the Peacemen-Rachford method in the noncommutative case (pp. 1–8); D. G. Bettis, Efficient embedded Runge-Kutta methods (pp. 9–18); Reinhard Frank and Christoph W. Ueberhuber, Collocation and iterated defect correction (pp. 19–34); A. Friedli, Verallgemeinerte Runge-Kutta Verfahren zur Lösung steifer Differentialgleichungssysteme (pp. 35–50); W. Hackbusch, A fast iterative method for solving Poisson's equation in a general region (pp. 51–62); Rolf Jeltsch, On the stability regions of multistep multiderivative methods (pp. 63–80); R. Mannshardt, Prädiktoren mit vorgeschriebenem Stabilitätsverhalten (pp. 81–96); B. Mehri, Oscillation and nonoscillation theorems for a second order nonlinear functional differential equation (pp. 97–106); Theodor Meis, Eine spezielle Integralgleichung erster Art (pp. 106–120); Karl Nickel, Ein Zusammenhang zwischen Aufgaben monotoner Art und Intervall-Mathematik (pp. 121–132); Jesper Oppelstrup, The RKFHB4 method for delay-differential equations (pp. 133–146); Rudolf Scherer, Spiegelung von Stabilitätsbereichen (pp. 147–152); Johann Schröder, Ulrich Trottenberg and Kristian Witsch, On fast Poisson solvers and applications (pp. 153–187); Hans J. Stetter, Considerations concerning a theory for ODE-solvers (pp. 188–200); J. Waldvogel, Boundary value problems in infinite intervals (pp. 201–208); Olof Widlund, Capacitance matrix methods for Helmholtz's equation on general bounded regions (pp. 209–219).