Shuaibing Shao

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math.NA2026

Uniform-in-time rational approximation of the matrix exponential with real poles

Stefan Güttel, Shuai Shao

We propose two new approaches for constructing families of rational functions with shared real poles that nearly uniformly approximate the functions $exp (- t z)$ for $z \geq 0$ and $…

math.NA2025

Concentrated real-pole uniform-in-time approximation of the matrix exponential

Stefan Güttel, Shuai Shao

We propose an asympotically optimal choice of shared concentrated real poles of a family of rational approximants of time-dependent exponential functions $exp (- t z)$ for $z \geq 0$ …