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John C. Butcher

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John Charles Butcher (born 31 March 1933) is a mathematician who specialises in numerical methods for the solution of ordinary differential equations. Butcher works on multistage methods for initial value problems, such as Runge-Kutta and general linear methods. The Butcher group is named after him.

More recently, he is investigating a new type of method with stability identical to that of a Runge-Kutta method.

Positions held

  • Lecturer, University of Sydney, 1959–1961.
  • Senior Lecturer, University of Canterbury, 1961–1964.
  • Computer Scientist, Stanford Linear Accelerator Center, 1965–1966.
  • Professor of Mathematics, University of Auckland, 1966–1979.
  • Head of Mathematics Department, University of Auckland, 1967–1973.
  • Founded Department of Computer Science, University of Auckland, 1980.
  • Professor of Computer Science, University of Auckland, 1980–1988.
  • Head of Applied and Computational Mathematics Unit, University of Auckland, 1989–1994, 1997–1998.
  • Professor of Mathematics, University of Auckland, 1989–1998.
  • Honorary Research Professor, 1999–.

Publications

  • Butcher, John C. (2008), Numerical methods for ordinary differential equations (2nd ed.), John Wiley & Sons Ltd., ISBN 978-0-470-72335-7, MR2401398