Convergence analysis of finite difference schemes for semi-linear initial-value problems
Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique, Tome 10 (1976) no. R2, pp. 61-86. 
@article{M2AN_1976__10_2_61_0,
     author = {L\"ofstr\"om, J. and Thom\'ee, V.},
     title = {Convergence analysis of finite difference schemes for semi-linear initial-value problems},
     journal = {Revue fran\c{c}aise d'automatique, informatique, recherche op\'erationnelle. Analyse num\'erique},
     pages = {61--86},
     publisher = {Dunod},
     address = {Paris},
     volume = {10},
     number = {R2},
     year = {1976},
     mrnumber = {488816},
     zbl = {0332.35006},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1976__10_2_61_0/}
}
TY  - JOUR
AU  - Löfström, J.
AU  - Thomée, V.
TI  - Convergence analysis of finite difference schemes for semi-linear initial-value problems
JO  - Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique
PY  - 1976
SP  - 61
EP  - 86
VL  - 10
IS  - R2
PB  - Dunod
PP  - Paris
UR  - http://www.numdam.org/item/M2AN_1976__10_2_61_0/
LA  - en
ID  - M2AN_1976__10_2_61_0
ER  - 
%0 Journal Article
%A Löfström, J.
%A Thomée, V.
%T Convergence analysis of finite difference schemes for semi-linear initial-value problems
%J Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique
%D 1976
%P 61-86
%V 10
%N R2
%I Dunod
%C Paris
%U http://www.numdam.org/item/M2AN_1976__10_2_61_0/
%G en
%F M2AN_1976__10_2_61_0
Löfström, J.; Thomée, V. Convergence analysis of finite difference schemes for semi-linear initial-value problems. Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique, Tome 10 (1976) no. R2, pp. 61-86. http://www.numdam.org/item/M2AN_1976__10_2_61_0/

1. R. Ansorge, C. Geiger and R. Hass, Existenz und numerische Erfassbarkeit verallgemeinerter Losungen halblinearer Anfangswertaufgaben, Z. Angew. Math. Mech., Vol. 52, 1972, pp. 597-605. | MR | Zbl

2. R. Ansorge and R. Hass, Konvergenz von Differenzenverfahren für lineare und nichtlineare Anfangswertaufgaben. Lecture Notes in Mathematics, n° 159, Springer-Verlag, Berlin-Heidelberg-New York, 1970. | MR | Zbl

3. P. Brenner, V. Thomée and L. B. Wahlbin, Besov Spaces and Applications to Difference Methods for Initial Value Problems, Lecture Notes in Mathematics, n° 434, Springer-Verlag, Berlin-Heidelberg-New York, 1975. | MR | Zbl

4. P. L. Butzer and H. Berens, Semi-groups of Operators and Approximation. Springer-Verlag, Berlin-Heidelberg-New York, 1967. | MR | Zbl

5. K. Jörgens, Das Anfangswertproblem in Grossen für eine klasse nichtlinearer Wellengleichungen, Math. Z., Vol. 77, 1961, pp. 295-308. | MR | Zbl

6. J.-L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod - Gauthier-Villars, Paris, 1969. | MR | Zbl

7. J. Löfström, Besov Spaces in the Theory of Approximation, Ann. Mat. Pura Appl., Vol. 55, 1970, pp. 93-184. | MR | Zbl

8. J. Peetre, Espaces d'interpolation et théorème de Soboleff, Ann. Inst. Fourier, Vol. 16, 1966, pp. 279-317. | Numdam | MR | Zbl

9. Peetre, Applications de la théorie des espaces d'interpolation dans l'analyse harmonique, Ricerche Mat., Vol. 15, 1966, pp. 1-36. | Zbl

10. J. Peetre, Interpolation of Lipschitz Operators and Metric Spaces, Mathematica, 12, (35), No. 2, 1970, pp. 325-334. | MR | Zbl

11. I. E . Segal, Non-Linear Semi-Groups, Ann. Math., 78, 1963, pp. 339-364. | MR | Zbl

12. V. Thomée, Convergence Analysis of a Finite Difference Scheme for a Simple Semi-Linear Hyperbolic Equation (Numerische Behandlung nichtlinearer Integrodifferential- und Differentialgleichungen), Lecture Notes in Mathematics, n° 395, Springer-Verlag, Berlin-Heidelberg-New York, 1974, pp. 149-166. | MR | Zbl

13. V. Thomée, On the Rate of Convergence of Différence Schemes for Hyperbolic Equations (Numerical Solutions of Partial Differential Equations II), Ed. B. HUBBARD, Academic Press, New York, 1971, pp. 585-622.. | Zbl