3 papers
math.NA2026
Convergence analysis of a parareal algorithm with multistep fine propagator
Georgios Akrivis, Qingle Lin, Zhi Zhou
The parareal algorithm is a powerful parallel-in-time integration method that accelerates the numerical solution of evolution equations by iteratively combining a fine propagator a…
math.NA2025
Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes
Georgios Akrivis, Sören Bartels, Michele Ruggeri +1
We construct and analyze a projection-free linearly implicit method for the approximation of flows of harmonic maps into spheres. The proposed method is unconditionally energy stab…
math.NA2023
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries
Georgios Akrivis, Sören Bartels, Christian Palus
We devise a projection-free iterative scheme for the approximation of harmonic maps that provides a second-order accuracy of the constraint violation and is unconditionally energy…