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Turkel, E. (1977). Symmetrie hyperbolic difference schemes and matrix problems . Linear Algebra Appl. 16, 109-129 .
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Phys . 14, 159-179.
Whitham, G. B. (1974). Linear and Nonlinear Waves. New York: John Wiley
and Sons.
Wiin-Nielsen, A. (1959). On the application of trajectory methods in numerical
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455
Trefethen, L. (1983). Group velocity interpretation of the stability theory of
Gustafsson, Kreiss and Sundström. J. Comp. Phys. 49, 199-217.
Trefethen, L. (1985). Stability of hyperbolic finite-difference models with one
or two boundaries. Lectures in Appl. Math. 22, 311-326.
Trefethen, L. and L. Halpem (1986). Well-posedness of one-way wave equations and absorbing boundary conditions. Math. Comp. 47, 421-435.
Turkel, E. (1977). Symmetrie hyperbolic difference schemes and matrix problems . Linear Algebra Appl. 16, 109-129 .
van Leer, B. (1974). Towards the ultimate conservative difference scheme 11.
Monotonicity and conservation combined in a second order scheme. J.
Comp. Phys. 14,361-370.
van Leer, B. (1977). Towards the ultimate conservative difference scheme IV.
A new approach to numerical convection. J. Comp. Phys. 23, 276-299.
Warming, R. and R. Beam (1976). Upwind second-order difference schemes
and applications in aerodynamic flows. AIAA Journal 14, 1241-1249.
Warming, R. and B. Hyett (1974). The modified equation approach to the
stability and accuracy analysis of finite-difference methods. J. Comp.
Phys . 14, 159-179.
Whitham, G. B. (1974). Linear and Nonlinear Waves. New York: John Wiley
and Sons.
Wiin-Nielsen, A. (1959). On the application of trajectory methods in numerical
forecasting . Tellus 11, 180-196.
Williamson, D. L. (1968). Integration of the barotropic vorticity equation on a
spherical geodesie grid . Tellus 20, 642-653.
Williamson, D. L. (1979). Difference approximations for fluid ftow on a
sphere. In Numerical Methods Used in Atmospheric Models , Volume 11
of GARP Publication Series No. 17, pp. 53-120. Geneva: World Meteorological Organization.
Williamson, D. L. and J. G. Olson (1994). Climate simulations with a semiLagrangian version of the NCAR community climate model. Mon. Wea.
Rev. 122, 1594-1610.
Williamson, D. L. and P. Rasch (1989). Two-dimensional semi-Lagrangian
transport with shape-preserving interpolation. Mon. Wea. Rev. 117, 102129.
Williamson, J. (1980). Low-storage Runge-Kuua schemes. J. Comp. Phys. 35,
48-56.
Yih, Ci-S. (1977). Fluid Mechanics: A Concise Introduction to the Theory, Ann
Arbor: West River Press .
Zalesak, S. T. (1979). Fully multidimensional flux-corrected transport algorithms for fluids . J. Comp. Phys. 31, 335-362.
