16 citations · 27 across the 4 of their papers we have counts for
16 papers
Model reduction and mesh refinement
Panagiotis Stinis
In recent work we have presented a novel algorithm for mesh refinement which utilizes a reduced model. In particular, the reduced model is used to monitor the transfer of activity…
Mori-Zwanzig reduced models for uncertainty quantification II: Initial condition uncertainty
Panagiotis Stinis
In a recent preprint (arXiv:1211.4285v1) we addressed the problem of constructing reduced models for time-dependent systems described by differential equations which involve uncert…
Mori-Zwanzig reduced models for uncertainty quantification I: Parametric uncertainty
Panagiotis Stinis
In many time-dependent problems of practical interest the parameters entering the equations describing the evolution of the various quantities exhibit uncertainty. One way to addre…
Renormalized reduced models for singular PDEs
Panagiotis Stinis
We present a novel way of constructing reduced models for systems of ordinary differential equations. The reduced models we construct depend on coefficients which measure the impor…
A drift homotopy Monte Carlo approach to particle filtering for multi-target tracking
Vasileios Maroulas, Panagiotis Stinis
We present a novel approach for improving particle filters for multi-target tracking. The suggested approach is based on drift homotopy for stochastic differential equations. Drift…
Conditional path sampling of stochastic differential equations by drift relaxation
Panagiotis Stinis
We present an algorithm for the efficient sampling of conditional paths of stochastic differential equations (SDEs). While unconditional path sampling of SDEs is straightforward, a…