BIT Numerical Mathematics

, Volume 2, Issue 1, pp 61–64

Note on the solution of a certain boundary-value problem



A simple algorithm is described for inverting the operatorDxDy (Dx andDy here and subsequently denote partial differentiation with respect tox andy respectively) which occurs in the iterative solution of the equationDxDyf (x, y)=g (x, y, f, Dxf, Dx2f,DxDyf, Dy2f) when boundary values off(x,y) are given along the sides of the rectangle in thexy-plane whose corners are at the points (a,b); (a+(n+1)k,b); (a+(n+1)k,b+(n+1)h); (a,b+(n+1)h).


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  1. 1.
    Buckingham, R. A.,Numerical Methods, Pitman, London 1957, ch. 15, p. 503.Google Scholar
  2. 2.
    Wynn, P.,Acceleration Techniques for Iterated Vector and Matrix Problems, Maths. of Comp., to appear.Google Scholar

Copyright information

© BIT Foundations 1962

Authors and Affiliations

  • P. Wynn
    • 1
  1. 1.Mathematisch CentrumAmsterdamThe Netherlands

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