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math.NA2023
High-accuracy numerical methods and convergence analysis for Schrödinger equation with incommensurate potentials
Kai Jiang, Shifeng Li, Juan Zhang
Numerical solving the Schrödinger equation with incommensurate potentials presents a great challenge since its solutions could be space-filling quasiperiodic structures without tra…
math.NT2023
On the approximation of quasiperiodic functions with Diophantine frequencies by periodic functions
Kai Jiang, Shifeng Li, Pingwen Zhang
We present an analysis of the approximation error for a -dimensional quasiperiodic function with Diophantine frequencies, approximated by a periodic function with the fundam…