Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Madden, Niall"'
We propose a finite difference scheme for the numerical solution of a two-dimensional singularly perturbed convection-diffusion partial differential equation whose solution features interacting boundary and interior layers, the latter due to disconti
Externí odkaz:
http://arxiv.org/abs/2401.02331
Autor:
Hill, Róisín, Madden, Niall
We propose a new method for the construction of layer-adapted meshes for singularly perturbed differential equations (SPDEs), based on mesh partial differential equations (MPDEs) that incorporate \emph{a posteriori} solution information. There are nu
Externí odkaz:
http://arxiv.org/abs/2311.01274
Autor:
Hill, Róisín, Madden, Niall
Publikováno v:
In Computers and Mathematics with Applications 15 August 2024 168:1-9
Motivated by a wide range of real-world problems whose solutions exhibit boundary and interior layers, the numerical analysis of discretizations of singularly perturbed differential equations is an established sub-discipline within the study of the n
Externí odkaz:
http://arxiv.org/abs/2108.13468
We propose a new first-order-system least squares (FOSLS) finite-element discretization for singularly perturbed reaction-diffusion equations. Solutions to such problems feature layer phenomena, and are ubiquitous in many areas of applied mathematics
Externí odkaz:
http://arxiv.org/abs/1909.08598
Akademický článek
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Autor:
Loftus, Laura1 (AUTHOR) anne.scott@universityofgalway.ie, Madden, Niall2 (AUTHOR) niall.madden@universityofgalway.ie, Scott, P. Anne1 (AUTHOR) aoife.cooke@universityofgalway.ie, Cooke, Aoife1 (AUTHOR), McNicholas, Nicola3 (AUTHOR) nicola.mcnicholas@universityofgalway.ie
Publikováno v:
Administrative Sciences (2076-3387). Nov2023, Vol. 13 Issue 11, p239. 16p.
Autor:
Russell, Stephen, Madden, Niall
Our goal is to present an elementary approach to the analysis and programming of sparse grid finite element methods. This family of schemes can compute accurate solutions to partial differential equations, but using far fewer degrees of freedom than
Externí odkaz:
http://arxiv.org/abs/1511.07193
Autor:
Nhan, Thái Anh, Madden, Niall
We consider the solution of large linear systems of equations that arise when two-dimensional singularly perturbed reaction-diffusion equations are discretized. Standard methods for these problems, such as central finite differences, lead to system m
Externí odkaz:
http://arxiv.org/abs/1504.01904