no. 4
Stability of the Lagrange-Galerkin method with non-exact integration
ESAIM: Modélisation mathématique et analyse numérique, Tome 22 (1988) no. 4, pp. 625-653. 
@article{M2AN_1988__22_4_625_0,
     author = {Morton, K. W. and Priestley, A. and Suli, E.},
     title = {Stability of the {Lagrange-Galerkin} method with non-exact integration},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {625--653},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {22},
     number = {4},
     year = {1988},
     mrnumber = {974291},
     zbl = {0661.65114},
     language = {en},
     url = {http://archive.numdam.org/item/M2AN_1988__22_4_625_0/}
}
TY  - JOUR
AU  - Morton, K. W.
AU  - Priestley, A.
AU  - Suli, E.
TI  - Stability of the Lagrange-Galerkin method with non-exact integration
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1988
SP  - 625
EP  - 653
VL  - 22
IS  - 4
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - http://archive.numdam.org/item/M2AN_1988__22_4_625_0/
LA  - en
ID  - M2AN_1988__22_4_625_0
ER  - 
%0 Journal Article
%A Morton, K. W.
%A Priestley, A.
%A Suli, E.
%T Stability of the Lagrange-Galerkin method with non-exact integration
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1988
%P 625-653
%V 22
%N 4
%I AFCET - Gauthier-Villars
%C Paris
%U http://archive.numdam.org/item/M2AN_1988__22_4_625_0/
%G en
%F M2AN_1988__22_4_625_0
Morton, K. W.; Priestley, A.; Suli, E. Stability of the Lagrange-Galerkin method with non-exact integration. ESAIM: Modélisation mathématique et analyse numérique, Tome 22 (1988) no. 4, pp. 625-653. http://archive.numdam.org/item/M2AN_1988__22_4_625_0/

[1] M. Abramowitz & A. Stegun, Handbook of Mathematical Functions. Dover Publications Inc., New York, 1965.

[2] J. P. Benque, G. Labadie & J. Ronat, A new finite element method for the Navier-Stokes equations coupled with a temperature equation. Proc. 4th Int. Symp. on Finite Element Methods in Flow Probiems (Ed. T. Kawai), North-Holland, Amsterdam, Oxford, New York, 1982, pp. 295-301. | MR | Zbl

[3] M. Bercovier & O. Pironneau, Characteristics and the finite element method. Proc. 4th Int. Symp. on Finite Element Methods in Flow Problems (Ed. T. Kawai), North-Holland, Amsterdam, Oxford, New York, 1982, pp. 67-63. | MR | Zbl

[4] P. N. Childs & K. W. Morton, Characteristic Galerkin methods for scalar conservation laws in on dimension. Oxford University Computing Laboratory Report No. 86/5, 1986. To appear in SIAM J. Numerical Analysis. | Zbl

[5] A. J. Chorin & K. W. Morton, A Mathematical Introduction to Fluid Mechanics (Universitext). Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1984. | Zbl

[6] J. Douglas Jr & T. F. Russell, Numerical methods for convention-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. SIAM J. Numer. Anal., 19 (1982), pp. 871-885. | MR | Zbl

[7] J. W. Eastwood, Privarte communication.

[8] F. H. Harlow, The particle in celle computing method for fluid dynamics. Methods in Computational Physis (Ed. B. Adler, S. Fernbach & M. Rotenberg), Vol. 3, Academic Press, New York, 1964.

[9] R. W. Hockney & J. W. Eastwood, Computer Simulation Using Particles. McGraw-Hill, New York, 1981. | Zbl

[10] Z. Kopal, Numerical Analysis. Chapman & Hall Ltd. London, 1961. | Zbl

[11] I. V. Krylov, Approximate Calculation of Integrals. Mac Millan, New York, 1962. | MR | Zbl

[12] P. Lesaint, Numerical solution of the equation of continuity. Topics in Numerical Analysis III (Ed. J. J. H. Miller), Academic Press, London, New York, San Francisco, 1977, pp. 199-222. | MR | Zbl

[13] K. W. Morton & A. Priestley, On characteristic and Lagrange-Galerkin methods. Pitman Research Notes in Mathematics Series (Ed. D. F. Griffiths & G. A. Watson), Longman Scientific and Technical, Harlow, 1986.

[14] K. W. Morton & P. Sweby, A comparison of flux limited difference methods and characteristic Galerkin methods for shock modelling. To appear in J. Comput. Phys. | Zbl

[15] O. Pironneau, On the transport diffusion algorithm and its application to the Navier-Stokes equations, Numer. Math., 38 (1982), pp. 309-332. | MR | Zbl

[16] T. F. Russell, Time stepping along characteristics with incomplete iteration for a Galerin approcimation of miscible displacement in porus media. Ph. D. Thesis, University of Chicago, 1980. | Zbl

[17] E. Süli, Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations, Numer. Math., 53 (1988), pp. 459-483. | MR | Zbl