2 papers
math.NA2022
A numerical energy minimisation approach for semilinear diffusion-reaction boundary value problems based on steady state iterations
Mario Amrein, Pascal Heid, Thomas P. Wihler
We present a novel energy-based numerical analysis of semilinear diffusion-reaction boundary value problems. Based on a suitable variational setting, the proposed computational sch…
math.NA2019
A Global Newton-Type Scheme Based on a Simplified Newton-Type Approach
Mario Amrein
Globalization concepts for Newton-type iteration schemes are widely used when solving nonlinear problems numerically. Most of these schemes are based on a predictor/corrector step…