Orthogonal spline expansions for uncertainty quantification in linear dynamical systems
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2021.116366
Abstract: Abstract This paper leverages recent progress on orthonormal splines for solving uncertainty quantification (UQ) problems from linear structural dynamics. The resulting methods, premised on spline chaos expansion (SCE) and spline dimensional decomposition (SDD), both construe… read more here.
Keywords: response; orthogonal spline; uncertainty; uncertainty quantification ... See more keywords
Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers' equation in one space variable
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2018.1512981
Abstract: ABSTRACT Burgers' equation in one space variable is a classical example of a non-linear parabolic problem. We discretize this equation in space using orthogonal spline collocation with splines of degree and we use extrapolated Crank-Nicolson… read more here.
Keywords: equation one; orthogonal spline; space; space variable ... See more keywords