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math.NA2025
A new cross approximation for Tucker tensors and its application in Tucker-Anderson Acceleration
Daniel Appelö, Yingda Cheng
This paper proposes two new algorithms related to the Tucker tensor format. The first method is a new cross approximation for Tucker tensors, which we call Cross-DEIM. Cross$^2…
math.NA2025
A -Adaptive Hermite Method for Nonlinear Dispersive Maxwell's Equations
Yann-Meing Law, Zhichao Peng, Daniel Appelö +1
In this work, we introduce a novel Hermite method to handle Maxwell's equations for nonlinear dispersive media. The proposed method achieves high-order accuracy and is free of any…
math.NA2025
An Optimal O(N) Helmholtz Solver for Complex Geometry using WaveHoltz and Overset Grids
Daniel Appelo, Jeffrey W. Banks, William D. Henshaw +1
We develop efficient and high-order accurate solvers for the Helmholtz equation on complex geometry. The schemes are based on the WaveHoltz algorithm which computes solutions of th…