Solution of a Riemann-Hilbert problem for a new expression of Chandrasekhar's H-function in radiative transfer

DOI10.1007/S10509-008-9864-XzbMath1161.85309OpenAlexW2012894123MaRDI QIDQ1008414

Rabindra Nath Das

Publication date: 27 March 2009

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10509-008-9864-x

zbMATH Keywords

Riemann-Hilbert problemradiative transfersingular integral equationplemelj and Cauchy integral formulaesimpson's one-third rule

Mathematics Subject Classification ID

Radiative transfer in astronomy and astrophysics (85A25) Integral equations with kernels of Cauchy type (45E05)

Related Items (2)

The Chandrasekhar function revisited ⋮ Solution of Riemann-Hilbert problems for determination of new decoupled expressions of Chandrasekhar's \(X\)- and \(Y\)-functions for slab geometry in radiative transfer

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new representation of the H-functions of radiative transfer
• Exact solution of the transport equation for radiative transfer with scattering albedo \(\omega_0<1\) using the Laplace transform and the Wiener-Hopf technique and an expression of \(H\)-function
• Radiative transfer single-scattering albedo estimation with a super-Padé approximation of Chandrasekhar's \(H\)-function
• Application of Wiener-Hopf technique to linear nonhomogeneous integral equations for a new representation of Chandrasekhar's \(H\)-function in radiative transfer, its existence and uniqueness
• Benchmark results in radiative transfer
• On the H-Functions for Isotropic Scattering
• Exact Solution of a Critical Problem for a Slab
• A Solution of Chandrasekhar's Integral Equation
• A solution method for the linear Chandrasekhar equation
• An approximate method in transport theory. II
• On computing eigenvalues in radiative transfer
• The searchlight problem in radiative transfer with internal reflection
• On Solutions of Chandrasekhar's Integral Equation
• Chandrasekhar's X and Y Equations
• Milne's Problem in Transport Theory
• The Angular Distribution of Neutrons Emerging from a Plane Surface

This page was built for publication: Solution of a Riemann-Hilbert problem for a new expression of Chandrasekhar's H-function in radiative transfer