3 papers
math.NA2025
A High-Accuracy Symplectic Scheme for a nonlinear transport problem
Farjana Siddiqua, Catalin Trenchea
We analyze an advection-diffusion-reaction problem with non-homogeneous boundary conditions that models the chromatography process.We prove stability and error estimates for both c…
math.NA2025
Statistics in a Backscatter Eddy Viscosity Turbulence Model
Ali Pakzad, Farjana Siddiqua
This paper addresses two significant drawbacks of an eddy viscosity turbulence model: the issue of excessive dissipation relative to energy input and the lack of a universal parame…
math.NA2025
Data assimilation with model errors
Aytekin Ãibik, Rui Fang, William Layton +1
Nudging is a data assimilation method amenable to both analysis and implementation. It also has the (reported) advantage of being insensitive to model errors compared to other assi…