1 citations · 1 across the 5 of their papers we have counts for
5 papers
An introduction to computational aspects of polynomial amoebas -- a survey
Vitaly A. Krasikov
This article is a survey on the topic of polynomial amoebas. We review results of papers written on the topic with an emphasis on its computational aspects. Polynomial amoebas have…
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…
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…
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…
Linear differential operators for generic algebraic curves
V. A. Krasikov, T. M. Sadykov
We give a computationally efficient method for constructing the linear differential operator with polynomial coefficients whose space of holomorphic solutions is spanned by all the…