3 papers
math.NA2026
The WaveHoltz Heterogeneous Multiscale Method
Amit Rotem, Olof Runborg, Daniel Appelö
We consider the numerical solution of the wave equation in materials with rapidly varying coefficients, and time harmonic sources. For these problems, direct discretization is proh…
math.NA2026
Fourier Residual Networks Achieve Spectral Accuracy for Discontinuous Functions
Owen Davis, Mohammad Motamed, Olof Runborg
We present a constructive approximation framework for analyzing the expressive power of Fourier residual networks in approximating a broad class of one-dimensional functions. Our s…
math.NA2025
Convergence of the Waveholtz Iteration on
Olof Runborg, Elliot Backman
In this paper we analyse the Waveholtz method, a time-domain iterative method for solving the Helmholtz iteration, in the constant-coefficient case in all of . We sho…