An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres

DOI10.1016/S0377-0427(01)00403-4zbMath1005.65144OpenAlexW1994978427MaRDI QIDQ1602762

Mario Ahues, Olivier Titaud, Alain Largillier, Paulo B. Vasconcelos, Filomena D. d'Almeida

Publication date: 24 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00403-4

zbMATH Keywords

convergenceGalerkin methodnumerical examplesastrophysicsparallelizationweakly singular kerneliterative refinementsecond kind Fredholm integral equationstellar atmospheresradiation transfer equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (12)

A Jacobi-Davidson type method with a correction equation tailored for integral operators ⋮ Unnamed Item ⋮ Regularization and Fourier Series for Fredholm Integral Equations of the Second Kind with a Weakly Singular Kernel ⋮ Projection methods based on grids for weakly singular integral equations ⋮ Data-sparse approximation on the computation of a weakly singular Fredholm equation: a stellar radiative transfer application ⋮ Error Bounds for Low-Rank Approximations of the First Exponential Integral Kernel ⋮ Convergence of multipower defect-correction for spectral computations of integral operators ⋮ A numerical study of iterative refinement schemes for weakly singular integral equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The finite Laplace transform for solving a weakly singular integral equation occurring in transfer theory ⋮ AN EXTENSION OF THE PRODUCT INTEGRATION METHOD TO L1 WITH APPLICATIONS IN ASTROPHYSICS

Uses Software

• ScaLAPACK

Cites Work

• THE ROLES OF A WEAK SINGULARITY AND THE GRID UNIFORMITY IN RELATIVE ERROR BOUNDS
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• ScaLAPACK Users' Guide
• Unnamed Item
• Unnamed Item
• Unnamed Item

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