Cholesky Factorisation of Linear Systems Coming from Finite Difference Approximations of Singularly Perturbed Problems

DOI10.1007/978-3-319-25727-3_16zbMath1427.65331arXiv1504.01904OpenAlexW2237123246MaRDI QIDQ5207420

Thái Anh Nhan, Niall Madden

Publication date: 20 December 2019

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01904

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems ⋮ An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes

Uses Software

• CHOLMOD

Cites Work

• Layer-adapted meshes for reaction-convection-diffusion problems
• Numerical Computing with IEEE Floating Point Arithmetic
• Robust Solution of Singularly Perturbed Problems Using Multigrid Methods
• A parameter robust numerical method for a two dimensional reaction-diffusion problem
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