Nonlinear Fourier-Fejér discretization yields convergent finite-dimensional approximations to fixed points of self-consistent transfer operators, with Newton's method delivering quadratic convergence.
Newton’s method in Banach spaces.Proceedings of the American Mathematical Society, 6(5):827–831
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Fixed-point approximation for self-consistent transfer operators with Newton's method
Nonlinear Fourier-Fejér discretization yields convergent finite-dimensional approximations to fixed points of self-consistent transfer operators, with Newton's method delivering quadratic convergence.