An adaptive Newton-method based on a dynamical systems approach. - Mario Amrein; Thomas P. Wihler (Commun. Nonlinear Sci. Numer. Simul., 2014)

Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations. - Mario Amrein; Thomas P. Wihler (SIAM J. Sci. Comput., 2015)

Linearized Continuous Galerkin hp-FEM Applied to Nonlinear Initial Value Problems. - Mario Amrein (CoRR, 2020)

A global Newton-type scheme based on a simplified Newton-type approach. - Mario Amrein (J. Appl. Math. Comput., 2021)

A numerical energy minimisation approach for semilinear diffusion-reaction boundary value problems based on steady state iterations. - Mario Amrein; Pascal Heid; Thomas P. Wihler (CoRR, 2022)

A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations. - Mario Amrein; Pascal Heid; Thomas P. Wihler (SIAM J. Numer. Anal., 2023)