4 papers
LR-WaveHoltz: A Low-Rank Helmholtz Solver
Andreas Granath, Daniel Appelö, Siyang Wang
We propose a low-rank method for solving the Helmholtz equation. Our approach is based on the WaveHoltz method, which computes Helmholtz solutions by applying a time-domain filter…
From microscopic fluctuations to susceptibility spectra: single-molecule relaxation in glassy media
Siyang Wang, Jaladhar Mahato, Laura J. Kaufman
Single-molecule (SM) rotational dynamics of fluorescent probes in polystyrene near the glass transition temperature () are investigated over long times to reconstruct suscepti…
Optimal higher-order convergence rates for parabolic multiscale problems
Balaje Kalyanaraman, Felix Krumbiegel, Roland Maier +1
In this paper, we introduce a higher-order multiscale method for time-dependent problems with highly oscillatory coefficients. Building on the localized orthogonal decomposition (L…
Anomalous Translational Dynamics of Molecular Probes Near the Polymer Glass Transition
Jaladhar Mahato, Siyang Wang, Laura J. Kaufman
The origin of the dramatic slowdown of dynamics near the glass transition temperature (Tg) remains a long-standing fundamental and unresolved issue in soft condensed matter. While…