Search Results - "Madden, Niall"
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Layer-adapted meshes for solute dispersion in a steady flow through an annulus with wall absorption: Application to a catheterized artery
Published in Korea-Australia rheology journal (01-02-2021)“…This paper describes the longitudinal dispersion of passive tracer molecules injected in a steady, fully developed, viscous, incompressible, laminar flow…”
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The Gender Pay Gap and Irish Higher Education: University of Galway, a Case Study
Published in Administrative sciences (01-11-2023)“…This article presents the first comprehensive, multi-year study of the Gender Pay Gap (GPG) for a single higher education institution in Ireland. University of…”
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3
Software for calculating blood lactate endurance markers
Published in Journal of sports sciences (01-10-2007)“…Blood lactate markers are used as summary measures of the underlying model of an athlete's blood lactate response to increasing work rate. Exercise…”
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4
A weighted and balanced FEM for singularly perturbed reaction-diffusion problems
Published in Calcolo (01-06-2021)“…A new finite element method is presented for a general class of singularly perturbed reaction-diffusion problems - ε 2 Δ u + b u = f posed on bounded domains Ω…”
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Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information
Published in Computers & mathematics with applications (1987) (15-08-2024)“…We propose a new method for the construction of layer-adapted meshes for singularly perturbed differential equations (SPDEs), based on mesh partial…”
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A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem
Published in Advances in computational mathematics (01-12-2015)“…We consider the numerical solution of a two-dimensional singularly perturbed reaction-diffusion problem posed on the unit square by a multiscale sparse grid…”
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A first-order system Petrov–Galerkin discretization for a reaction–diffusion problem on a fitted mesh
Published in IMA journal of numerical analysis (01-07-2016)Get full text
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A C 1 -conforming hp finite element method for fourth order singularly perturbed boundary value problems
Published in Applied numerical mathematics (01-06-2016)Get full text
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Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems
Published in Numerical algorithms (01-09-2018)“…We consider the iterative solution of linear systems of equations arising from the discretization of singularly perturbed reaction-diffusion differential…”
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10
An optimal time-stepping algorithm for unsteady advection–diffusion problems
Published in Journal of computational and applied mathematics (01-03-2016)“…We consider the numerical solution of a linear time dependent advection–diffusion problem by an implicit two-weight, three-point finite difference scheme. We…”
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11
Finite element modelling of geophysical electromagnetic data with goal-oriented hr-adaptivity
Published in Computational geosciences (01-06-2020)“…Large discontinuities (jumps) in coefficients often appear when modelling physical problems involving inhomogeneous media. An example of this is the…”
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An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes
Published in Journal of applied mathematics & computing (01-02-2021)“…We investigate the solution of linear systems of equations that arise when singularly perturbed reaction–diffusion partial differential equations are solved…”
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13
A C1-conforming hp finite element method for fourth order singularly perturbed boundary value problems
Published in Applied numerical mathematics (01-06-2016)“…We consider a fourth order singularly perturbed boundary value problem (BVP) in one-dimension and the approximation of its solution by the hp version of the…”
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14
Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information
Published 02-11-2023“…We propose a new method for the construction of layer-adapted meshes for singularly perturbed differential equations (SPDEs), based on mesh partial…”
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15
Layer-adapted meshes for a linear system of coupled singularly perturbed reaction–diffusion problems
Published in IMA journal of numerical analysis (01-01-2009)“…We consider a system of ℓ ≥ 2 one-dimensional singularly perturbed reaction–diffusion equations coupled at the zero-order term. The second derivative of each…”
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A parameter-uniform Schwarz method for a coupled system of reaction–diffusion equations
Published in Journal of computational and applied mathematics (15-08-2009)“…We consider an arbitrarily sized coupled system of one-dimensional reaction–diffusion problems that are singularly perturbed in nature. We describe an…”
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17
Bayesian networks for mathematical models: Techniques for automatic construction and efficient inference
Published in International journal of approximate reasoning (01-02-2013)“…► New method for building dynamic Bayesian networks from differential equation models. ► Allows simultaneous temporal data mining and model parameter…”
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18
A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction–diffusion problems
Published in IMA journal of numerical analysis (01-10-2003)“…A coupled system of two singularly perturbed linear reaction–diffusion two‐point boundary value problems is examined. The leading term of each equation is…”
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19
Parameter uniform approximations for time-dependent reaction-diffusion problems
Published in Numerical methods for partial differential equations (01-11-2007)“…Using discrete Green's functions techniques, we present a classification of fitted mesh methods for time‐dependent reaction diffusion problems, based on the…”
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20
A two-scale sparse grid method for a singularly perturbed reaction–diffusion problem in two dimensions
Published in IMA journal of numerical analysis (01-10-2009)“…The linear reaction–diffusion problem – ϵ2Δu + bu = f is considered on the unit square with homogeneous Dirichlet boundary conditions. Here ϵ is a small…”
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