Survey of the stability of linear finite difference equations. (English) Zbl 0072.08903

Full Text: DOI


[1] Courant, Math. Ann. 100 pp 32– (1928)
[2] Courant, Comm. Pure Appl. Math. 5 pp 243– (1952)
[3] Stability in the numerical solution of initial value problems in partial differential equations, Naval Ordnance Laboratory Memorandum 10232.
[4] Friedrichs, Comm. Pure Appl. Math. 7 pp 345– (1954)
[5] Kantorovitch, Uspehi Matem. Nauk 3 pp 89– (1948)
[6] and , The initial and mixed initial and boundary value problems for hyperbolic systems, Los Alamos Report No. 1210, 1951.
[7] Laasonen, Acta Math. 81 pp 309– (1949)
[8] O’Brien, J. Math. Physics 29 pp 223– (1951) · Zbl 0042.13204
[9] On the convergence of solutions of difference equations, in Studies and Essays, Courant Anniversary Volume, Interscience Publishers, New York, 1948, pp. 211–214.
[10] Von Neumann, J. Appl. Physics 21 pp 232– (1950)
[11] Stability of partial differential equations, Symposium on Theoretical Compressible Flow, U. S. Naval Ordnance Laboratory, 1949, NOLR 1132, 1950.
[12] Du Fort, Math. Tables and Other Aids to Computation 7 pp 135– (1953)
[13] John, Comm. Pure Appl. Math. 5 pp 155– (1952)
[14] Difference approximation to solutions of linear differential equations - an operator theoretical approach, Symposium on Partial Differential Equations, Berkeley, Summer 1955; Report of the University of Kansas Mathematics Department (to appear).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.