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Bates, J.R., and A.McDonald, Multiply-upstream, semi-Lagrangian advective schemes: analysis and application to a multi-level primitive equation model, Mon.Wea.Rev. 112, 2033–2047 (1982).
Bates, J.R., An efficient semi-Lagrangian and alternating-direction implicit method for integrating the shallow-water equations, Mon.Wea.Rev. 112, 2033–2047 (1984).
Bates, J.R., F.H.M. Semazzi and R.W. Higgins, Integration of the shallow-water equations on the sphere using a vector semi-Lagrangian scheme with a multigrid solver, Mon.Wea.Rev. 118, in press (1990).
Bermejo, R., On the equivalence of semi-Lagrangian and particle-in-cell finite-element methods, Mon.Wea.Rev. 118, 979–987 (1990).
Côté, J., A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere, Q.J.Roy.Met.Soc. 114, 1347–1352 (1988).
Côté, J., and A. Staniforth, A two-time-level semi-Lagrangian semi-implicit scheme for spectral models, Mon.Wea.Rev. 116, 2003–2012 (1988).
Côté, J., S. Gravel and A. Staniforth, Improving variable-resolution finite-element semi-Lagrangian integration schemes by pseudo-staggering, Mon.Wea.Rev. 118, in press (1990).
Côté,J., and A. Staniforth, An accurate and efficient finite-element global model of the shallow-water primitive equations, Mon.Wea-Rev. 118, in press (1990).
Krishnamurti, T.N., Numerical integration of primitive equations by a quasi-Lagrangian advective scheme, J.Appl.Met. 1, 508–521 (1962).
Kwizak M. and A.J. Robert, A semi-implicit scheme for gridpoint atmospheric models of the primitive equations, Mon.Wea.Rev. 99, 32–36 (1971).
McDonald, A., Accuracy of multiply-upstream, semi-Lagrangian advective schemes, Mon.Wea.Rev. 112, 1267–1275 (1984).
McDonald, A., A semi-Lagrangian and semi-implicit two-time-level integration scheme, Mon.Wea.Rev. 114, 824–830 (1986).
McDonald, A., and J.R. Bates, Improving the estimate of the departure point position in a two time-level semi-Lagrangian and semi-implicit model, Mon.Wea.Rev. 115, 737–739 (1987).
McDonald, A., and J.R. Bates, Semi-Lagrangian integration of a gridpoint shallow-water model on the sphere, Mon.Wea.Rev. 117, 130–137 (1989).
Morton, K.W., Generalised Galerkin methods for hyperbolic problems, Comp.Meth.Appl.Mech.Eng. 52, 847–871 (1985).
Pudykiewicz, J., and A. Staniforth, Some properties and comparative performance of the semiLagrangian method of Robert in the solution of the advection-diffusion equation, Atmos.Ocean 22, 283–308 (1984).
Pudykiewicz, J., R. Benoit and A. Staniforth, Preliminary results from a partial LRTAP model based on an existing meteorological forecast model, Atmos.Ocean 23, 267–303 (1985).
Pudykiewicz, J., Simulation of the Chernobyl dispersion with a 3-D hemispheric tracer model, Tellus 41B, 391–412 (1989).
Rasch, P., and D. Williamson, On shape-preserving interpolation and semi-Lagrangian transport, SIAM J.Sci.Stat.Comput., in press (1990).
Ritchie, Eliminating the interpolation associated with the semi-Lagrangian scheme, Mon.Wea.Rev. 114, 135–146 (1986).
Ritchie, H., Semi-Lagrangian advection on a Gaussian grid, Mon.Wea.Rev. 115, 608–619 (1987).
Ritchie, H., Application of the semi-Lagrangian method to a spectral model of the shallow-water equations, Mon.Wea.Rev. 116, 1587–1598 (1988).
Ritchie, H., Application of the semi-Lagrangian method to a multi-level spectral primitive equations model, submitted to QJ.RoyMet.Soc. (1990).
Robert, A., A stable numerical integration scheme for the primitive meteorological equations, Atmos.Ocean 19, 35–46 (1981).
Robert, A., T.L. Yee and H. Ritchie, A semi-Lagrangian and semi-implicit numerical integration scheme for multilevel atmospheric models, Mon.Wea.Rev. 113, 388–394 (1985).
Staniforth, A., and R. Daley, A baroclinic finite-element model for regional forecasting with the primitive equations, Mon.Wea.Rev. 107, 107–121 (1979).
Staniforth, A., and H. Mitchell, A variable-resolution finite-element technique for regional forecasting with the primitive equations, Mon.Wea.Rev. 106, 439–447 (1978).
Staniforth, A., and J. Pudykiewicz, Reply to comments on and addenda to “Some properties and comparative performance of the semi-Lagrangian method of Robert in the solution of the advection-diffusion equation.”, Atmos.Ocean 23, 195–200 (1985).
Staniforth, A., and C. Temperton, Semi-implicit semi-Lagrangian integration schemes for a barotropic finite-element regional model, Mon.Wea.Rev. 114, 2078–2090 (1986).
Tanguay, M., A. Simard and A. Staniforth, A three-dimensional semi-Lagrangian scheme for the Canadian regional finite-element forecast model, Mon.Wea.Rev. 117, 1861–1871 (1989).
Temperton, C., and A. Staniforth, An efficient two-time-level semi-Lagrangian semi-implicit integration scheme, Q.J.Roy.Met.Soc. 113, 1025–1039 (1987).
Williamson, D., and P. Rasch, Two-dimensional semi-Lagrangian transport with shapepreserving interpolation, Mon.Wea.Rev. 117, 102–129 (1989).
Zalesak, S.T., Fully multi-dimensional flux-corrected transport, J.Comput.Phys. 31, 335–362 (1979).
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Staniforth, A., Côté, J. (1990). Semi-Lagrangian integration schemes and their application to environmental flows. In: Morton, K.W. (eds) Twelfth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 371. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53619-1_137
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DOI: https://doi.org/10.1007/3-540-53619-1_137
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