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A transform method for solving certain systems of linear algebraic equations

Eine Transform-Methode zur Lösung bestimmter linearer algebraischer Zeichnungssysteme

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Summary

A simple method for solving certain systems of linear equations is given. Such systems arise in discretizing boundary value problems for differential equations with constant coefficients.

Zusammenfassung

Eine einfache Methode zur Auflösung gewisser Systeme von linearen Gleichungen wird angegeben. Solche Systeme treten auf, wenn man Randwertaufgaben für Differentialgleichungen mit konstanten Koeffizienten diskretisiert.

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References

  1. [1]

    Bramble, J. H., andB. E. Hubbard: On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of nonnegative type. Studies in Applied Mathematics (formerly Journal of Mathematics and Physics)34, 117–132 (1964).

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Guenther, R. A transform method for solving certain systems of linear algebraic equations. Computing 8, 13–18 (1971). https://doi.org/10.1007/BF02234039

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Keywords

  • Differential Equation
  • Linear Equation
  • Computational Mathematic
  • Algebraic Equation
  • Constant Coefficient