Yes, the ideas behind the Nyquist-informed panel selection heuristic can be applied to other numerical integration problems involving oscillatory integrands. The key concept of adapting the panel sizes based on the frequency content of the integrand can be generalized to various numerical integration problems where oscillations play a significant role. By dynamically adjusting the panel sizes to capture the oscillations accurately, the method can improve the efficiency and accuracy of the integration process.
The Nyquist-informed panel selection heuristic can be particularly useful in problems where the integrand exhibits rapid oscillations or singularities, as it allows for a more targeted allocation of computational resources. By focusing on regions of the integrand that require higher resolution, the method can optimize the integration process and provide more accurate results. This adaptive approach can be beneficial in a wide range of numerical integration problems, especially those involving oscillatory functions or singularities.