Computation of logarithmic capacity

DOI10.1007/BF03321780zbMath1206.65128OpenAlexW2073270420MaRDI QIDQ619445

Thomas Ransford

Publication date: 25 January 2011

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321780

zbMATH Keywords

energyquadratic programmingnumerical examplescapacityupper and lower boundslogarithmic capacityquadratic minimization

Mathematics Subject Classification ID

Quadratic programming (90C20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Potentials and capacities on other spaces (31C15)

Related Items (16)

Turán type converse Markov inequalities in \(L^q\) on a generalized Erod class of convex domains ⋮ The growth of polynomials outside of a compact set-the Bernstein-Walsh inequality revisited ⋮ Numerical computation of the capacity of generalized condensers ⋮ Computation of analytic capacity and applications to the subadditivity problem ⋮ Low energy scattering asymptotics for planar obstacles ⋮ Fast and accurate computation of the logarithmic capacity of compact sets ⋮ Turán-Erőd type converse Markov inequalities on general convex domains of the plane in the boundary \(L^q\) norm ⋮ Plurisubharmonic geodesics and interpolating sets ⋮ Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method ⋮ Turán type oscillation inequalities in $L^q$ norm on the boundary of convex domains ⋮ The Pólya-Chebotarev problem and inverse polynomial images ⋮ Capacity and covering numbers ⋮ Small obstacle asymptotics for a 2D semi-linear convex problem ⋮ A numerical approach for the Poisson equation in a planar domain with a small inclusion ⋮ New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results ⋮ Zolotarev's conformal mapping and Chebotarev's problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computation of capacity via quadratic programming
• On algebraic equations with integral coefficients whose roots belong to a given point set
• Computation of weighted capacity
• Capacity theory on algebraic curves
• Countability via capacity
• Painlevé's problem and the semiadditivity of analytic capacity.
• Equidistribution of points via energy
• Extremal polynomials associated with a system of curves in the complex plane
• Analytic capacity and measure
• Computation of capacity
• Christoffel functions on curves and domains
• On an extension of the definition of transfinite diameter and some applications.
• Computing Logarithmic Capacity with Linear Programming
• Practical Extrapolation Methods
• Green's Functions for Multiply Connected Domains via Conformal Mapping
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: Computation of logarithmic capacity