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Mathematical and Numerical Analysis & Scientific Computing Group (AMNCS)

Applied and Computational Mathematics Members: Giulio Giunta (PI), Anna Lisa Amadori, Ardelio Galletti, Livia Mercellino

Ongoing projects
Methodologies and techniques of mathematical and numerical analysis, as well as scientific computing for elliptic and parabolic PDEs, inverse problems, and large-scale data fitting.

Topics:
PDE: results about stationary solutions of nonlinear/asymptotically linear systems of Schrodinger equations, and non-symmetric solutions of elliptic problems; Integro-differential equations in population dynamics: analytical studies and numerical methods. Inverse problems: numerical inversion of Laplace Transform for parallel computing systems; Data fitting: large-scale barycentric interpolation, implicit methods for large-scale surface reconstruction with RBF.

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