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Sharifi Kolarijani, M.A. (author), Proskurnikov, Anton V. (author), Mohajerin Esfahani, P. (author)In this article, we study the nonlinear Fokker-Planck (FP) equation that arises as a mean-field (macroscopic) approximation of bounded confidence opinion dynamics, where opinions are influenced by environmental noises and opinions of radicals (stubborn individuals). The distribution of radical opinions serves as an infinite-dimensional...journal article 2021
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Tol, H.J. (author), de Visser, C.C. (author), Kotsonis, M. (author)A new methodology is presented for model reduction of linear parabolic partial differential equations (PDEs) on general geometries using multivariate splines on triangulations. State-space descriptions are derived that can be used for control design. This method uses Galerkin projection with B-splines to derive a finite set of ordinary...journal article 2016