Free Access
| Issue |
R.I.R.O.
Volume 1, Number 1, 1967
|
|
|---|---|---|
| Page(s) | 67 - 90 | |
| DOI | https://doi.org/10.1051/m2an/1967010100671 | |
| Published online | 01 February 2017 | |
- ANSORGE und W. TORNING, Uber Instabilitätsbereiche eines numerischen Verfahren zur Losung das Cauchy Problems fur hyperbolische Differentialgluchungen (Archive for Rational mechanics and Analysis, Vol. 7, n° 3, 1961, p. 249). [MR: 128629] [Google Scholar]
- A. K. Aziz and B. E. HUBBARD, Bounds on the Truncation error by Finite Difference for the Goursat Problem (Mathematics of computation , Jan. 1964, Vol. 18, n° 85, p. 19). [MR: 160337] [Zbl: 0141.33003] [Google Scholar]
- BUCHANAN, A necessary and sufficient condition for stability of difference schemes for initial values problems (J. Soc. Indust. Appl. Math., 11, 1963, p. 919-935]. [MR: 160324] [Zbl: 0221.65144] [Google Scholar]
- J. CONLAN, The Cauchy Problem and the mixed Boundary Value Problem for a non-Linear Hyperbolic Partial Differential equation in two independant variables (Archive for Rational mechanics and Analysis, Vol. 3, n° 4, 1959). [MR: 107092] [Zbl: 0093.31203] [Google Scholar]
- J. B. DIAZ, On the analogue of the Euler-Cauchy Polygon method for the numerical solution of $u_{xy}=f(x,y,u,u_x,u_y)$ (Archive for Rational mechanics and Analysis, Vol. 1, n° 4, 1958, p. 357). [MR: 104041] [Zbl: 0084.11501] [Google Scholar]
- G. W. HEDSTROM, The near stability of the Lax-Wendroff method (Numerische Mathematics, Band 7, Heft 1, 1965, p. 73),. [EuDML: 131639] [MR: 174182] [Zbl: 0131.34301] [Google Scholar]
- KREISS, Uber die Stabilitatsdefinition für Differenzengleichungen approximieren (BIT, 1962, p. 153-181). [Zbl: 0109.34702] [Google Scholar]
- R. H. MOORE, On approximate Solutions of non Linear Hyperbolic Partial differential equations (Archive for Rational Mechanics and Analysis, Vol. 6, n° 1, 1960, p. 75). [MR: 114998] [Zbl: 0099.33604] [Google Scholar]
- R. H. MOORE, A Runge-Kutta Procedure for the Goursatt Problem in hyperbolic partial differential equations (Archive for Rational mechanics and analysis, Vol. 7, n° 1, 1961, p. 37). [MR: 120772] [Zbl: 0097.12004] [Google Scholar]
- K. W. MORTON and S. SCHECHTER, On the stability of finite difference matrices (S.I.A.M. Series B, Vol. 1, 1965, pp. 119-128). [MR: 182170] [Zbl: 0133.38101] [Google Scholar]
- G. STRANG, Acurate partial differential methods II non linear problems (Numerische mathematik, Band 6, Heft 1, 1964, p. 49). [Zbl: 0143.38204] [Google Scholar]
- W. TORNING, Zur numerischen Behandlung von Arfangsinertproblem partieller hyperbolischer Differentialgleichungen zweiter ordnung in zwei unabhangigen Veraderbichen. I. Das Charakterische arfangsirertprobleme (Archive for Rational Mechanics and analysis, Vol. 4, n° 5, 1960, p. 428). [Zbl: 0090.34301] [Google Scholar]
- W. TORNIG, Zur numerischen Behandlung von arfangsirertproblemer partiellen hyperbolischer Differential gleichungen zweiter ordnung in zwei unabhangigen Veranderbichen II Das Cauchy Problem (Archive for Rational mechanics and analysis, vol. 4, n° 5, 1960, p. 446). [MR: 129559] [Zbl: 0090.34301] [Google Scholar]
- VIDAR THOMEE, Stability in the maximum norm (Journal of differential equations, vol. 1, n° 3, 1965, p. 273). , [MR: 176240] [Zbl: 0259.65086] [Google Scholar]
- [15]Chün LIN, On approximate methods of solution for a certain type of non linear differential equations [Act. Mat. Sinica (10) 36 à 35 (Chinese) translated as Chinica math. 1 (1962) 374-379]. [MR: 170481] [Zbl: 0143.38004] [Google Scholar]
- HANS J. STETTER, Stability of non linear Discretization algorithms (numerical Solution of Partial Differential Equations. Edited by James H. Bramble, Academic Press 1966). [MR: 205495] [Zbl: 0149.11603] [Google Scholar]
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