@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. Existenz und numerische Erfassbarkeit verallgemeinerter Losungen halblinearer Anfangswertaufgaben, Z. Angew. Math. Mech., Vol. 52, 1972, pp. 597-605. | MR | Zbl
, and ,2. Konvergenz von Differenzenverfahren für lineare und nichtlineare Anfangswertaufgaben. Lecture Notes in Mathematics, n° 159, Springer-Verlag, Berlin-Heidelberg-New York, 1970. | MR | Zbl
and ,3. 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
, and ,4. Semi-groups of Operators and Approximation. Springer-Verlag, Berlin-Heidelberg-New York, 1967. | MR | Zbl
and ,5. Das Anfangswertproblem in Grossen für eine klasse nichtlinearer Wellengleichungen, Math. Z., Vol. 77, 1961, pp. 295-308. | MR | Zbl
,6. Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod - Gauthier-Villars, Paris, 1969. | MR | Zbl
,7. Besov Spaces in the Theory of Approximation, Ann. Mat. Pura Appl., Vol. 55, 1970, pp. 93-184. | MR | Zbl
,8. Espaces d'interpolation et théorème de Soboleff, Ann. Inst. Fourier, Vol. 16, 1966, pp. 279-317. | Numdam | MR | Zbl
,9. Applications de la théorie des espaces d'interpolation dans l'analyse harmonique, Ricerche Mat., Vol. 15, 1966, pp. 1-36. | Zbl
,10. Interpolation of Lipschitz Operators and Metric Spaces, Mathematica, 12, (35), No. 2, 1970, pp. 325-334. | MR | Zbl
,11. Non-Linear Semi-Groups, Ann. Math., 78, 1963, pp. 339-364. | MR | Zbl
,12. 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. 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
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