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Original Articles

An error analysis of iterated defect correction methods for linear differential-algebraic equations

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Pages 121-137 | Received 20 Mar 1995, Published online: 19 Mar 2007

References

  • Deuflhard , P. , Hairer , E. and Zugck , J. 1987 . One-step and extrapolation methods for differential-algebraic systems . Numer. Math. , 51 : 501 – 516 .
  • Frank , R. , Herding , J. and Lehner , H. 1986 . B-convergence properties of defect correction methods. I . Numer. Math. , 49 : 139 – 162 .
  • Frank , R. , Hertling , J. and Lehner , H. 1986 . B-convergence properties of defect correction methods. II . Numer. Math. , 49 : 163 – 188 .
  • Frank R. Ueberhuber C. W. Iterated defect correction for Runge-Kutta methods Institut fur Numerische Mathematik TU Wien 1975 Report nr. 14/75
  • Hildebrand , F. B. 1974 . Introduction to Numerical Analysis McGraw-Hill
  • Kågstrom , B. and Barrlund , A. 1990 . Analytical and numerical solutions to higher index linear variable coefficient dae systems . J. of Computational and Applied Mathematics , 31 : 305 – 330 .
  • Lubich , C. 1989 . Linearly implicit extrapolation methods for differential-algebraic systems . umer. Math. , 55 : 197 – 221 .

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