3 papers
math.CV2022
A review on computational aspects of polynomial amoebas
Vitaly A. Krasikov
We review results of papers written on the topic of polynomial amoebas with an emphasis on computational aspects of the topic. The polynomial amoebas have a lot of applications in…
math.AP2021
Computational aspects of finding a solution asymptotics for a singularly perturbed system of differential equations
Vitaly A. Krasikov, Andrey V. Nesterov
We analyze the spatial structure of asymptotics of a solution to a singularly perturbed system of mass transfer equations. The leading term of the asymptotics is described by a par…
cs.SC2020
On Algorithmic Estimation of Analytic Complexity for Polynomial Solutions to Hypergeometric Systems
Vitaly A. Krasikov
The paper deals with the analytic complexity of solutions to bivariate holonomic hypergeometric systems of the Horn type. We obtain estimates on the analytic complexity of Puiseux…