Uncertainty quantification (UQ) is increasingly critical for modelling complex systems in which input parameters or environmental conditions vary unpredictably. Polynomial chaos methods offer a ...

We present a general framework whereby analysis of interior-point algorithms for semidefinite programming can be extended verbatim to optimization problems over all classes of symmetric cones ...

SIAM Journal on Numerical Analysis, Vol. 39, No. 6 (2002), pp. 1865-1888 (24 pages) We present a general error estimation framework for a finite volume element (FVE ...