3 papers
math.NA2026
Alikhanov-XfPINNs: Adaptive Physics-Informed Learning for Nonlinear Fractional PDEs on Nonuniform Meshes
Himanshu Kumar Dwivedi, Matthias Ehrhardt, Rajeev
To address the initial singularity inherent in solutions to fractional partial differential equations (fPDEs), we propose an accelerated Alikhanov discretization formulation implem…
eess.IV2026
Neural Fields for Highly Accelerated 2D Cine Phase Contrast MRI
Pablo Arratia, Martin J. Graves, Mary McLean +5
2D cine phase contrast (CPC) MRI provides quantitative information on blood velocity and flow within the human vasculature. However, data acquisition is time-consuming, motivating…
eess.IV2025
Enhancing Dynamic CT Image Reconstruction with Neural Fields and Optical Flow
Pablo Arratia, Matthias Ehrhardt, Lisa Kreusser
In this paper, we investigate image reconstruction for dynamic Computed Tomography. The motion of the target with respect to the measurement acquisition rate leads to highly resolv…