@article{ZVMMF_1992_32_4_a2,
author = {Guo Ben-Yu (Kuo Pen-Yu)},
title = {Generalized stability of discretization and its applications to numerical solutions of non-linear partial differential equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {530--541},
year = {1992},
volume = {32},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_4_a2/}
}
TY - JOUR AU - Guo Ben-Yu (Kuo Pen-Yu) TI - Generalized stability of discretization and its applications to numerical solutions of non-linear partial differential equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1992 SP - 530 EP - 541 VL - 32 IS - 4 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_4_a2/ LA - en ID - ZVMMF_1992_32_4_a2 ER -
%0 Journal Article %A Guo Ben-Yu (Kuo Pen-Yu) %T Generalized stability of discretization and its applications to numerical solutions of non-linear partial differential equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1992 %P 530-541 %V 32 %N 4 %U http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_4_a2/ %G en %F ZVMMF_1992_32_4_a2
Guo Ben-Yu (Kuo Pen-Yu). Generalized stability of discretization and its applications to numerical solutions of non-linear partial differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 4, pp. 530-541. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_4_a2/
[1] Richardson L. F., Philos. Trans. Roy. Soc. London A, 210 (1910), 307–357 | DOI | Zbl
[2] Courant R., Friedrichs F., Lewy H., Math. Ann., 100 (1928), 32–74 | DOI | MR | Zbl
[3] Lax P. D., Richtmeyer R. D., Communs Pure and Appl. Math., 9 (1956), 267–293 | DOI | MR | Zbl
[4] Richtmayer R. D., Morton K. W., Difference methods for initial value problems, Interscience, N. Y., 1967
[5] Krasnosel'skii M. A., Vainikko G. M., Zabreiko P. P. et al., Approximate solution of operator equations, Wolters-Noordhoff. Publ., Groningen, Netherlands, 1972 | MR
[6] Stetter H. J., “Stability of nonlinear discretization algorithms”, Numer. Solution of Different. Equations, Acad. Press, N. Y., 1966, 111–123 | MR
[7] Keller H. B., Math. Comput., 29 (1975), 464–476 | DOI | MR
[8] Guo Ben-yu, Tech. Rept., SUST, 1965; Acta Math. Sinica, 17 (1974), 242–258 | MR | Zbl
[9] Kuo Ben-yu, Scient. Sinica, 20 (1977), 287–304 | MR | Zbl
[10] Kuo Ben-yu, Scient. Sinica. Math. Collection, 1 (1979), 39–52 | MR
[11] Kuo Ben-yu, C. r. Acad. Sci. Paris, Ser. A, 219 (1980), 167–170
[12] Kuo Ben-yu, Wu Hua-mo, Math. Analys. and Applic., 81 (1981), 334–345 | DOI | Zbl
[13] Guo Ben-yu, Scient. Sinica A, 25 (1982), 702–715 | MR | Zbl
[14] Guo Ben-yu, Scient. Sinica A, 32 (1989), 897–907 | MR | Zbl
[15] Strang W. G., Duke Math. J., 27 (1960), 221–230 | DOI | MR
[16] Griffiths D., Bull. IMA, 18 (1982), 210–215 | MR | Zbl
[17] Kuttler J. R., “Finite difference approximations of eigenvalues of uniformly elliptic operators”, SIAM J. Numer. Analys., 7 (1970), 206–232 | DOI | MR
[18] Simpson R. B., “Existence and error estimates for solutions of a discrete analog of nonlinear eigenvalue problems”, Math. Comput., 26 (1972), 359–375 | DOI | MR | Zbl
[19] Kuo Pen-yu, Sanz-Serna J. M., IMA J. Numer. Analys., 1 (1981), 215–221 | DOI | MR | Zbl
[20] Kuo Pen-yu, COMPEL, 2 (1983), 57–75 | Zbl
[21] Guo Ben-yu, Pascual Maria P. J., Rodriquez J., Vazquez L., Appl. Math. and Comput., 18 (1986), 1–14 | DOI | MR | Zbl
[22] Guo Ben-yu, Manoranjan V. S., IMA J. Numer. Analys., 5 (1985), 307–318 | DOI | MR | Zbl
[23] Guo Ben-yu, Scient. Sinica A, 28 (1985), 1139–1153 | MR | Zbl
[24] Ma He-ping, Guo Ben-yu, J. Comput. Phys., 65 (1986), 120–137 | DOI | MR
[25] Guo Ben-yu, Ma He-ping, CALCOLO, 24 (1987), 263–282 | DOI | MR | Zbl
[26] Guo Ben-yu, Cao Wei-ming, Comput. Phys., 74 (1988), 110–126 | DOI | MR | Zbl
[27] Guo Ben-yu, Xiong Yeu-shan, J. Comput. Phys., 84 (1989), 259–278 | DOI | MR | Zbl