BIT Numerical Mathematics

, Volume 12, Issue 1, pp 63–71 | Cite as

On the design of nested iterations for elliptic difference equations

  • Lydia Kronsjö
  • Germund Dahlquist


By “Richardson extrapolation from 2h andh toh/2” the results of computations with coarse grids are used for the construction of an initial approximation on finer grid. After a rather small number of iterations high accuracy is obtained. Numerical results are given for the two-dimensional Laplace equation.


Computational Mathematic Difference Equation Initial Approximation Laplace Equation Coarse Grid 
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Copyright information

© BIT Foundations 1972

Authors and Affiliations

  • Lydia Kronsjö
    • 1
    • 2
  • Germund Dahlquist
    • 1
    • 2
  1. 1.Computer CentreUniversity of BirminghamBirminghamEngland
  2. 2.Department for Information ProcessingThe Royal Institute of TechnologyStockholm 70Sweden

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