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• W2012205781 abstract "The convergence properties of a class of high-order semi-Lagrangian schemes for pure advection equations are studied here in the framework of the theory of viscosity solutions. We review the general convergence results for discrete-time approximation schemes belonging to that class and we prove some a priori estimates in $L^infty$ and L2 for the rate of convergence of fully discrete schemes. We prove then that a careful coupling of time and space discretizations can allow large time steps in the numerical integration still preserving the accuracy of the solutions. Several examples of schemes and numerical tests are presented." @default.
• W2012205781 created "2016-06-24" @default.
• W2012205781 creator A5001740078 @default.
• W2012205781 creator A5044925835 @default.
• W2012205781 date "1998-06-01" @default.
• W2012205781 modified "2023-10-16" @default.
• W2012205781 title "Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes" @default.
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• W2012205781 doi "https://doi.org/10.1137/s0036142994273513" @default.
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