3 papers
math.NA2026
Identification of space-dependent coefficients in two competing terms of a nonlinear subdiffusion equation
Barbara Kaltenbacher, William Rundell
We consider a (sub)diffusion equation with a nonlinearity of the form , where and are space dependent functions. Prominent examples are the Fisher-KPP, the Frank-…
math.NA2026
Locally-averaged McCormick relaxations for discretization-regularized inverse problems
Barbara Kaltenbacher, Paul Manns
In this paper, by means of a standard model problem, we devise an approach to computing approximate dual bounds for use in global optimization of coefficient identification in part…
math.NA2025
Reconstruction of space-dependence and nonlinearity of a reaction term in a subdiffusion equation
Barbara Kaltenbacher, William Rundell
In this paper we study the simultaneous reconstruction of two coefficients in a reaction-subdiffusion equation, namely a nonlinearity and a space dependent factor. The fact that th…