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Barrett, J.W., Moore, G. & Morton, K.W., 1982. Optimal recovery and defect correction in the finite element method. Univ. of Reading, Num. Anal. Report 7/82.
Barrett, J.W., & Morton, K.W., 1980. Optimal finite element solutions to diffusion convection problems in one dimension. Int. J. Num. Meth. Engng. 15, 1457–1474.
Boris, J.P., & Book, D.L., 1973. Flux corrected transport. I SHASTA a fluid transport algorithm that works. J. Comp. Phys. 11, pp38–69.
Cullen, M.J.P., & Morton, K.W., 1980. Analysis of evolutionary error in finite element and other methods. J. Comp. Phys. 34, 245–268.
Engquist, B., & Osher, S., 1980. Stable and entropy satisfying approximations for transonic flow calculations. Math. Comp. 34, 45–75.
Engquist, B., & Osher, S., 1981. One sided difference equations for non-linear conservation laws. Math. Comp: 36, 321–352.
Fromm, J.E., 1968. A method for reducing dispersion in convective difference schemes. J. Comp. Phys. 3, 176–189.
Gelinas, R.J., Doss, S.K., & Miller, K., 1981. The moving finite element method: applications to general partial differential equations with multiple large gradients.J. Camp. Phys. 40, 202–249.
Godunov, S.K., 1959. A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics. Mat. Sb. 47, 271–290.
Morton, K.W., 1982. Generalised Galerkin methods for steady and unsteady problems. Proc. IMA Conf. on Num. Meth. for Fluid Dynamics (eds. K.W. Morton & M.J. Baines), Academic Press,(to appear).
Morton, K.W., 1980. Petrov-Galerkin methods for non-self-adjoint problems. Proc. Dundee Conf. on Numerical Analysis, (ed. G.A. Watson), Lect. Notes Math. 773, Springer-Verlag, 110–118.
Morton, K.W., & Stokes, A. Generalised Galerkin methods for hyperbolic equations. Proc. MAFELAP 1981 Conf. (ed. J.R. Whiteman), (to appear).
Osher, S., 1981. Numerical solution of singular perturbation problems and hyperbolic systems of conservation laws. Conf. Proc., North-Holland Math. Studies 47, 179–205.
Roe, P.L., 1981. The use of the Riemann problem in finite difference schemes. Proc. VIIth Int. Conf. on Num. Meth. in Fluid Dynamics, Lect. Notes Phys. 141, Springer-Verlag, 354–9.
Roe, P.L., 1981. Approximate Riemann solvers, parameter vectors and difference schemes. J. Comp. Phys. 43, 357–372.
Rusanov, V.V., 1981. On the computation of discontinuous multi-dimensional gas flows. Proc. VIIth Int. Conf. Num. Meth. in Fluid Dynamics, Lect. Notes Phys. 141, Springer-Verlag, 31–43.
Sod, G.A., 1978. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comp. Phys. 27, 1–31.
Van Leer, B., 1979. Towards the ultimate conservative differencing scheme V. A second order sequel to Godunov's method. J. Comp. Phys. 32, 101–136.
Wathen, A., 1982. Moving finite elements and applications to some problems in oil reservoir modelling. Univ. of Reading, Num. Anal. Report 4/82.
Zalesak, S., 1979. Fully multidimensional flux-corrected transport algorithms for fluids. J. Comp. Phys. 31, 335–362.
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Morton, K.W. (1982). Shock capturing, fitting and recovery. In: Krause, E. (eds) Eighth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11948-5_5
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DOI: https://doi.org/10.1007/3-540-11948-5_5
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