Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations Angela Cleveland and much more Provides special

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It then proceeds to theoretical statements

Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations Angela Cleveland and much more Provides specialThis largely self contained book provides a unified framework of semi Lagrangian strategy for the approximation of hyperbolic PDEs, with a special focus on Hamilton Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity solutions and the concepts underlying the construction and analysis of difference schemes; they then proceed to high order semi Lagrangian schemes and their applications to problems in fluid dynamics,