In this chapter an efficient conservation element—solution element (CE— SE)to construct numerical solutions of time-dependent advection-diffusion equation initial value problems is presented.Stability conditions of the method are established intermsofdata.
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Company, R., Defez, E., Jódar, L., Ponsoda, E. (2008). A Stable CE—SE Numerical Method for Time-Dependent Advection—Diffusion Equation. In: Bonilla, L.L., Moscoso, M., Platero, G., Vega, J.M. (eds) Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71992-2_165
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