Speaker
Shuai Shao
(The University of Manchester)
Description
We propose an asympotically optimal choice of shared concentrated real poles of a family of rational approximants of time-dependent exponential functions exp(−𝑡𝑧) for 𝑧 ≥ 0 and 𝑡 in a positive time interval 𝑇. Our result extends a classical result by J.-E. Andersson [J. Approx. Theory, 32(2):85–95, 1981] on the asymptotic best rational approximation of exp(−𝑧) with real poles. Numerical experiments demonstrate the near-optimality of our choice for various time ranges and for both small and large approximation degrees.
Authors
Shuai Shao
(The University of Manchester)
Prof.
Stefan Guettel
(The University of Manchester)