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An application of cyclic reduction to Ritz type difference equations


Author: A. K. Rigler
Journal: Math. Comp. 18 (1964), 292-296
MSC: Primary 65.70
DOI: https://doi.org/10.1090/S0025-5718-1964-0170490-7
MathSciNet review: 0170490
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  • [1] J. Albrecht and L. Collatz (eds.), Numerische Behandlung von Differentialgleichungen. Band 3, Internationale Schriftenreihe zur Numerischen Mathematik [International Series of Numerical Mathematics], vol. 56, Birkhäuser Verlag, Basel, 1981 (German). MR 784038
  • [2] K. O. Friedrichs, A Finite Difference Scheme for the Neumann and the Dirichlet Problems. Report NYO-9760, Institute of Mathematical Sciences, New York University, 1962.
  • [3] L. A. Hageman, Block Iterative Methods for Two-Cyclic Matrix Equations with Special Application to the Numerical Solution of the Second Order Self-Adjoint Elliptic Partial Differential Equation. Report WAPD-TM-327, Westinghouse Electric Corp., Bettis Atomic Power Laboratory, Pittsburgh 30, Pa., 1962. (Available from the Office of Technical Services, Dept. of Commerce, Washington 25, D. C.)
  • [4] Johann Schröder, Zur Lösung von Potentialaufgaben mit Hilfe des Differenzenverfahrens, Z. Angew. Math. Mech. 34 (1954), 241–253 (German, with English, French and Russian summaries). MR 0065272, https://doi.org/10.1002/zamm.19540340702
  • [5] Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0158502

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DOI: https://doi.org/10.1090/S0025-5718-1964-0170490-7
Article copyright: © Copyright 1964 American Mathematical Society