3 papers
math.NA2018
Adjoint for advection schemes on the sphere in ICON model
Ramaz Botchorishvili, Hendrik Elbern, Tamari Janelidze
Among the most advanced and sophisticated methods for state analysis of an atmospheric system is the four dimensional variational data assimilation. The numerically challenging tas…
math.NA2018
Hyperbolic model for Helmholtz equation with impedance boundary conditions
Ramaz Botchorishvili, Tamar Janelidze
Solution of Helmholtz equation with impedance boundary condition on finite interval is equivalently reformulated as steady state of initial boundary value problem for first order h…
math.CT2006
Relative homological categories
Tamar Janelidze
We introduce relative homological and weakly homological categories, where ``relative'' refers to a distinguished class of normal epimorphisms. It is a generalization of homologica…