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math.NA2025
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…
math.NA2025
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…