27 citations · 155 across the 25 of their papers we have counts for
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math.NA2018★ 1 cited
A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations
Assyr Abdulle, Giacomo Rosilho de Souza
A local weighted discontinuous Galerkin gradient discretization method for solving elliptic equations is introduced. The local scheme is based on a coarse grid and successively imp…
math.NA2018
A Bayesian numerical homogenization method for elliptic multiscale inverse problems
Assyr Abdulle, Andrea Di Blasio
A new strategy based on numerical homogenization and Bayesian techniques for solving multiscale inverse problems is introduced. We consider a class of elliptic problems which vary…
math.NA2018★ 20 cited
Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration
Assyr Abdulle, Giacomo Garegnani
A novel probabilistic numerical method for quantifying the uncertainty induced by the time integration of ordinary differential equations (ODEs) is introduced. Departing from the c…