Computation of two-dimensional stokes flows via lightning and AAA rational approximation
Low Reynolds number fluid flows are governed by the Stokes equations. In two dimensions,
Stokes flows can be described by two analytic functions, known as Goursat functions …
Stokes flows can be described by two analytic functions, known as Goursat functions …
Representation of conformal maps by rational functions
A Gopal, LN Trefethen - Numerische Mathematik, 2019 - Springer
The traditional view in numerical conformal mapping is that once the boundary
correspondence function has been found, the map and its inverse can be evaluated by …
correspondence function has been found, the map and its inverse can be evaluated by …
Computation of 2D Stokes flows via lightning and AAA rational approximation
Low Reynolds number fluid flows are governed by the Stokes equations. In two dimensions,
Stokes flows can be described by two analytic functions, known as Goursat functions …
Stokes flows can be described by two analytic functions, known as Goursat functions …
On moduli of rings and quadrilaterals: algorithms and experiments
Moduli of rings and quadrilaterals are frequently applied in geometric function theory; see,
eg, the handbook by Kühnau Handbook of Complex Analysis: Geometric Function Theory …
eg, the handbook by Kühnau Handbook of Complex Analysis: Geometric Function Theory …
Liquid crystal based microwave components with fast response times: material, technology, power handling capability
F Gölden - 2010 - tuprints.ulb.tu-darmstadt.de
The present thesis is concerned with tunable microwave components based on Liquid
Crystals (LC). Here, the fact is utilised that LC feature at GHz frequencies as well as at …
Crystals (LC). Here, the fact is utilised that LC feature at GHz frequencies as well as at …
The AAAtrig algorithm for rational approximation of periodic functions
PJ Baddoo - SIAM Journal on Scientific Computing, 2021 - SIAM
We present an extension of the AAA (adaptive Antoulas--Anderson) algorithm for periodic
functions, called “AAAtrig.” The algorithm uses the key steps of AAA approximation by (i) …
functions, called “AAAtrig.” The algorithm uses the key steps of AAA approximation by (i) …
Lauricella function and the conformal mapping of polygons
SI Bezrodnykh - Mathematical Notes, 2022 - Springer
In this paper, some progress has been made in solving the problem of calculating the
parameters of the Schwarz–Christoffel integral realizing a conformal mapping of a canonical …
parameters of the Schwarz–Christoffel integral realizing a conformal mapping of a canonical …
Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons
SI Bezrodnykh - Computational Mathematics and Mathematical Physics, 2023 - Springer
This paper deals with Euler-type integrals and the closely related Lauricella function, which
is a hypergeometric function of many complex variables. For new analytic continuation …
is a hypergeometric function of many complex variables. For new analytic continuation …
Numerical computation of the Schwarz–Christoffel transformation for multiply connected domains
TK Delillo, EH Kropf - SIAM Journal on Scientific Computing, 2011 - SIAM
We report on recent progress in the computation of Schwarz–Christoffel maps from bounded
or unbounded circular domains to conformally equivalent bounded or unbounded multiply …
or unbounded circular domains to conformally equivalent bounded or unbounded multiply …
Функция Лауричеллы и конформное отображение многоугольников
СИ Безродных - Математические заметки, 2022 - mathnet.ru
Функция Лауричеллы и конформное отображение многоугольников Page 1
Математические заметки Том 112 выпуск 4 октябрь 2022 УДК 517.5 Функция …
Математические заметки Том 112 выпуск 4 октябрь 2022 УДК 517.5 Функция …