# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 30 Publications since 1996, including 1 Book
all top 5

#### Co-Authors

 1 single-authored 7 Linß, Torsten 6 Stynes, Martin 5 MacLachlan, Scott P. 3 Russell, Stephen J. 2 Adler, James H. 2 Nhan, Thái Anh 2 Panaseti, Pandelitsa 2 Stephens, Meghan 2 Xenophontos, Christos A. 2 Zouvani, Antri 1 Chadha, Naresh M. 1 Enright, Catherine G. 1 Flynn, Sharon 1 Haynes, Ronald D. 1 Hurley, Ted 1 Jahandari, Hormoz 1 Kellogg, Bruce 1 Kopteva, Natalia Viktorovna 1 Liu, Fang 1 Mac an Airchinnigh, Mícheál 1 Madden, Michael G. 1 McGettrick, Michael 1 Melenk, Markus 1 Oberbroeckling, Lisa A. 1 Schellekens, Michel P. 1 Seda, Anthony Karel 1 Zhou, Aihui
all top 5

#### Serials

 4 IMA Journal of Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 Computational Methods in Applied Mathematics 1 Computers & Mathematics with Applications 1 Applied Mathematics and Computation 1 Computing 1 Applied Numerical Mathematics 1 International Journal of Approximate Reasoning 1 Irish Mathematical Society Bulletin 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Computational Geosciences 1 International Journal of Numerical Analysis and Modeling 1 Electronic Notes in Theoretical Computer Science 1 PAMM. Proceedings in Applied Mathematics and Mechanics
all top 5

#### Fields

 28 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 10 Partial differential equations (35-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

20 Publications have been cited 239 times in 139 Documents Cited by Year
A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076
2003
Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems. Zbl 1168.65046
2009
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions. Zbl 1188.65153
Liu, Fang; Madden, Niall; Stynes, Martin; Zhou, Aihui
2009
Accurate solution of a system of coupled singularly perturbed reaction-diffusion equations. Zbl 1057.65046
2004
A parameter-uniform Schwarz method for a coupled system of reaction-diffusion equations. Zbl 1171.65413
2009
Grid equidistribution for reaction-diffusion problems in one dimension. Zbl 1089.65077
Kopteva, Natalia; Madden, Niall; Stynes, Martin
2005
A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations. Zbl 1042.65065
2004
A parameter-robust numerical method for a system of reaction-diffusion equations in two dimensions. Zbl 1133.65088
Kellogg, R. B.; Madden, Niall; Stynes, Martin
2008
Parameter uniform approximations for time-dependent reaction-diffusion problems. Zbl 1131.65076
2007
An improved error estimate for a numerical method for a system of coupled singularly perturbed reaction-diffusion equations. Zbl 1040.65066
2003
A $$C^{1}$$-conforming $$hp$$ finite element method for fourth order singularly perturbed boundary value problems. Zbl 1336.65124
Panaseti, Pandelitsa; Zouvani, Antri; Madden, Niall; Xenophontos, Christos
2016
Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems. Zbl 1195.65119
2010
Robust solution of singularly perturbed problems using multigrid methods. Zbl 1290.65097
2013
Linear enhancements of the streamline diffusion method for convection-diffusion problems. Zbl 0870.65100
1996
A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem. Zbl 1337.65141
2015
A first-order system Petrov-Galerkin discretization for a reaction-diffusion problem on a fitted mesh. Zbl 1433.65272
2016
A Schwarz technique for a system of reaction diffusion equations with differing parameters. Zbl 1181.65107
2009
An introduction to the analysis and implementation of sparse grid finite element methods. Zbl 1367.65153
2017
2016
Uniform convergence of a finite difference scheme for a system of coupled reaction-diffusion equations. Zbl 1354.65219
2003
An introduction to the analysis and implementation of sparse grid finite element methods. Zbl 1367.65153
2017
A $$C^{1}$$-conforming $$hp$$ finite element method for fourth order singularly perturbed boundary value problems. Zbl 1336.65124
Panaseti, Pandelitsa; Zouvani, Antri; Madden, Niall; Xenophontos, Christos
2016
A first-order system Petrov-Galerkin discretization for a reaction-diffusion problem on a fitted mesh. Zbl 1433.65272
2016
2016
A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem. Zbl 1337.65141
2015
Robust solution of singularly perturbed problems using multigrid methods. Zbl 1290.65097
2013
Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems. Zbl 1195.65119
2010
Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems. Zbl 1168.65046
2009
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions. Zbl 1188.65153
Liu, Fang; Madden, Niall; Stynes, Martin; Zhou, Aihui
2009
A parameter-uniform Schwarz method for a coupled system of reaction-diffusion equations. Zbl 1171.65413
2009
A Schwarz technique for a system of reaction diffusion equations with differing parameters. Zbl 1181.65107
2009
A parameter-robust numerical method for a system of reaction-diffusion equations in two dimensions. Zbl 1133.65088
Kellogg, R. B.; Madden, Niall; Stynes, Martin
2008
Parameter uniform approximations for time-dependent reaction-diffusion problems. Zbl 1131.65076
2007
Grid equidistribution for reaction-diffusion problems in one dimension. Zbl 1089.65077
Kopteva, Natalia; Madden, Niall; Stynes, Martin
2005
Accurate solution of a system of coupled singularly perturbed reaction-diffusion equations. Zbl 1057.65046
2004
A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations. Zbl 1042.65065
2004
A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076
2003
An improved error estimate for a numerical method for a system of coupled singularly perturbed reaction-diffusion equations. Zbl 1040.65066
2003
Uniform convergence of a finite difference scheme for a system of coupled reaction-diffusion equations. Zbl 1354.65219
2003
Linear enhancements of the streamline diffusion method for convection-diffusion problems. Zbl 0870.65100
1996
all top 5