95 citations · 131 across the 24 of their papers we have counts for
29 papers
Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes
Natalia Kopteva, Sean Kelly
Time-fractional semilinear and quasilinear parabolic equations with a Caputo time derivative of order are considered, solutions of which exhibit a singular behaviour at…
Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations
Natalia Kopteva
A semilinear initial-boundary value problem with a Caputo time derivative of fractional order is considered, solutions of which typically exhibit a singular behaviour a…
On the solution existence for collocation discretizations of time-fractional subdiffusion equations
Sebastian Franz, Natalia Kopteva
Time-fractional parabolic equations with a Caputo time derivative of order are discretized in time using continuous collocation methods. For such discretizations, we gi…
Time stepping adaptation for subdiffusion problems with non-smooth right-hand sides
Sebastian Franz, Natalia Kopteva
We consider a time-fractional subdiffusion equation with a Caputo derivative in time, a general second-order elliptic spatial operator, and a right-hand side that is non-smooth in…
Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis
Sebastian Franz, Natalia Kopteva
This paper presents an extended version of the article [Franz, S., Kopteva, N.: J. Differential Equations, 252 (2012)]. The main improvement compared to the latter is in that here…
A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations
Torsten Linß, Natalia Kopteva, Goran Radojev +1
A posteriori error estimates in the maximum norm are studied for various time-semidiscretisations applied to a class of linear parabolic equations. We summarise results from the li…