Numerical treatment of differential equations : proceedings of a conference held at Oberwolfach, July 4-10, 1976

書誌事項

Numerical treatment of differential equations : proceedings of a conference held at Oberwolfach, July 4-10, 1976

edited by R. Bulirsch, R.D. Grigorieff, and J. Schröder

(Lecture notes in mathematics, 631)

Springer-Verlag, 1978

  • : Berlin
  • : New York

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注記

Includes bibliographical references

内容説明・目次

目次

Some convergence results for the PEACEMAN-RACHFORD method in the noncommutative case.- Efficient embedded runge - Kutta methods.- Collocation and iterated defect correction.- Verallgemeinerte Runge-Kutta Verfahren zur Loesung steifer Differentialgleichungssysteme.- A fast iterative method for solving poisson's equation in a general region.- On the stability regions of multistep multiderivative methods.- Pradiktoren mit vorgeschriebenem Stabilitatsverhalten.- Oscillation and nonoscillation theorems for a second order nonlinear functional differential equation.- Eine spezielle Integralgleichung erster Art.- Ein Zusammenhang zwischen Aufgaben monotoner Art und Intervall-Mathematik.- The RKFHB4 method for delay - Differential equations.- Spiegelung von Stabilitatsbereichen.- On fast poisson solvers and applications.- Considerations concerning a theory for ode-solvers.- Boundary value problems in infinite intervals.- Capacitance matrix methods for Helmholtz's equation on general bounded regions.

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