Pseudospectrum of Schwarzschild QNMs shows stability of the fundamental mode to infrared perturbations respecting asymptotics and instability of overtones to ultraviolet high-frequency perturbations.
Instead, one constructs a Chebyshev’s interpolant fN(x) from the evaluation of f(x) on points xi fN(xi) = f(xi) , i ∈{ 0, 1,
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Pseudospectrum and black hole quasi-normal mode (in)stability
Pseudospectrum of Schwarzschild QNMs shows stability of the fundamental mode to infrared perturbations respecting asymptotics and instability of overtones to ultraviolet high-frequency perturbations.