335 citations · 1.8k across the 47 of their papers we have counts for
3 papers · 2 filters
A new variable shape parameter strategy for RBF approximation using neural networks
Fatemeh Nassajian Mojarrad, Maria Han Veiga, Jan S. Hesthaven +1
The choice of the shape parameter highly effects the behaviour of radial basis function (RBF) approximations, as it needs to be selected to balance between ill-condition of the int…
Multi-fidelity surrogate modeling using long short-term memory networks
Paolo Conti, Mengwu Guo, Andrea Manzoni +1
When evaluating quantities of interest that depend on the solutions to differential equations, we inevitably face the trade-off between accuracy and efficiency. Especially for para…
Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation
Jan S. Hesthaven, Cecilia Pagliantini, Nicolò Ripamonti
High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerba…