Entropic criteria for computational models of advection-diffusion equations
Traditional probabilistic methods for the estimation of parameters within advection-diffusion equations (ADEs) often overlook the entropic contribution of the discretization, i.e.number of particles, within associated numerical methods. Many times, the gain in accuracyof a highly discretized numerical model is outweighed by its associated computational costs.The research project herein seeks to answer the question of how many particles one should usein a numerical simulation to best approximate and estimate parameters in one-dimensionaladvective-diffusive transport with constant coefficients. ...
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