@article{M2AN_1993__27_7_863_0, author = {Lin, P. and Morton, K. W. and S\"uli, E.}, title = {Euler characteristic {Galerkin} scheme with recovery}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {863--894}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {27}, number = {7}, year = {1993}, mrnumber = {1249456}, zbl = {0798.65090}, language = {en}, url = {http://www.numdam.org/item/M2AN_1993__27_7_863_0/} }
TY - JOUR AU - Lin, P. AU - Morton, K. W. AU - Süli, E. TI - Euler characteristic Galerkin scheme with recovery JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1993 SP - 863 EP - 894 VL - 27 IS - 7 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1993__27_7_863_0/ LA - en ID - M2AN_1993__27_7_863_0 ER -
%0 Journal Article %A Lin, P. %A Morton, K. W. %A Süli, E. %T Euler characteristic Galerkin scheme with recovery %J ESAIM: Modélisation mathématique et analyse numérique %D 1993 %P 863-894 %V 27 %N 7 %I AFCET - Gauthier-Villars %C Paris %U http://www.numdam.org/item/M2AN_1993__27_7_863_0/ %G en %F M2AN_1993__27_7_863_0
Lin, P.; Morton, K. W.; Süli, E. Euler characteristic Galerkin scheme with recovery. ESAIM: Modélisation mathématique et analyse numérique, Tome 27 (1993) no. 7, pp. 863-894. http://www.numdam.org/item/M2AN_1993__27_7_863_0/
[1] Average multivalued solutions for scalar conservation laws, SIAM J. Numer. Anal., 21, 1013-1037. | MR | Zbl
, 1984,[2] Characteristic Galerkin methods for scalar conservation laws in one dimension, SIAM J. Numer. Anal., 27, 553-594. | MR | Zbl
, , 1990,[3] On the solution of non-linear hyperbolic differential equations by finite differences, Comm. Pure Appl. Math., 5, 243-264. | MR | Zbl
, and , 1954[4] One-sided difference approximations for nonlinear conservation laws, Mathematics of Camputation, 36, 321-352. | MR | Zbl
and , 1981,[5] Finite - difference method for numerical computation of discontinuous solutions of the equations of gas dynamics, Mat. SB. (N.S.), 7, 271-290. | MR
, 1959,[6] A geometrie approach to high resolution TVD schemes, SIAM J. Numer. Anal, 25, 268-284. | MR | Zbl
and , 1988,[7] Numerical solution of the equation of continuity. In J. J. H. Miller, éd., Topics in Numerical Analysis III, Academie Press, 199-222. | MR | Zbl
, 1977,[8] A comparison of flux-limited difference scheme and characteristic Galerkin methods for shock modelling, J. Comput, Phys., 73, 203-230. | Zbl
, , 1987,[9] Characteristic Galerkin methods for hyperbolicproblems, in Proc. on Numerical Methods in Fluid Mechanics, Gesellsehaft für Angewandte Mathematik und Machanik, Rome, M. Pandolfi and R. Riva, eds.,Vieweg, Wiesbaden, 243-250. | Zbl
, 1983,[10] Generalized Galerkin methods for hyperbolic problems, Comput. Methods Appl, Mech. Engrg., 52, 847-871. | MR | Zbl
, 1985,[11] Shock capturing, fitting and recovery. In E. Krause, editor, Proceedings of the Eighth International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics, Vol. 170, 77-93, Springer-Verlag.
, 1982,[12] Generalised Galerkin methods for hyperbolic problems, in Proc. Conf. Mathematics of Finite Elements and Applications IV, J. R. Whiteman, éd., Academie Press, 421-431. | MR | Zbl
and , 1982,[13] Theory of Functions of a Real Variable, Vol. 1. Ungar, New York. | MR | Zbl
, 1955,[14] High resolution schemes and the entropy condition, SIAM J. Numer. Anal., 21, 955-984. | MR | Zbl
and , 1984,[15] Numerical algorithms for the linear wave equation, Royal Aircraft Establishment Technical Report 81047.
, 1981,[16] Shock Waves and Reaction-Diffusion Equations, Springer-Verlag, New York. | MR | Zbl
, 1983,[17] High resolution schemes using flux limiters for hyperbolic conservation laws, SIAM J. Numer. Anal., 21, 995-1011. | MR | Zbl
, 1984,[18] Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method, J. Comp. Phys., 32, 101-136. | Zbl
, 1979,[19] The spaces BV and quasilinear equations, Mat. Sb., 73, 255-302 ; English transl. in Math. USSR. Sb., 2, 225-267. | MR | Zbl
, 1967,