Choosing a stepsize for Taylor series methods for solving ODE'S

  • Authors:
  • George Corliss;David Lowery

  • Affiliations:
  • Departments of Computer Science and of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68508, USA;Departments of Computer Science and of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68508, USA

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 1977

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Abstract

Runge-Kutta formulas are discussed for the integration of systems of differential equations. The parameters of these formulas are square matrices with component-dependent values. The systems considered are supposed to originate from hyperbolic partial ...