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Martin Stynes
Martin Stynes
Chair Professor, Beijing Computational Science Research Center
Dirección de correo verificada de ucc.ie
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Robust numerical methods for singularly perturbed differential equations
HG Roos, M Stynes, L Tobiska
Springer Ser. Comput. Math 24, 2008
3172*2008
Robust numerical methods for singularly perturbed differential equations: convection-diffusion-reaction and flow problems
HG Roos, M Stynes, L Tobiska
Springer Science & Business Media, 2008
31642008
Numerical treatment of partial differential equations
C Grossmann, HG Roos, M Stynes
Springer, 2007
6032007
Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation
M Stynes, E O'Riordan, JL Gracia
SIAM Journal on Numerical Analysis 55 (2), 1057-1079, 2017
5572017
Steady-state convection-diffusion problems
M Stynes
Acta Numerica 14, 445-508, 2005
2432005
The midpoint upwind scheme
M Stynes, HG Roos
Applied Numerical Mathematics 23 (3), 361-374, 1997
1901997
A robust adaptive method for a quasi-linear one-dimensional convection-diffusion problem
N Kopteva, M Stynes
SIAM Journal on Numerical Analysis 39 (4), 1446-1467, 2001
1712001
Asymptotic analysis and Shishkin-type decomposition for an elliptic convection–diffusion problem
T Linß, M Stynes
Journal of mathematical analysis and applications 261 (2), 604-632, 2001
1682001
A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
M Stynes, E O'Riordan
Journal of Mathematical Analysis and Applications 214 (1), 36-54, 1997
1621997
A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction–diffusion problems
N Madden, M Stynes
IMA Journal of Numerical Analysis 23 (4), 627-644, 2003
1602003
On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method
LP Franca, A Nesliturk, M Stynes
Computer Methods in Applied Mechanics and Engineering 166 (1-2), 35-49, 1998
1571998
The SDFEM for a convection-diffusion problem with a boundary layer: optimal error analysis and enhancement of accuracy
M Stynes, L Tobiska
SIAM journal on numerical analysis 41 (5), 1620-1642, 2003
1422003
Too much regularity may force too much uniqueness
M Stynes
Fractional Calculus and Applied Analysis 19 (6), 1554-1562, 2016
1252016
A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem
E O’Riordan, M Stynes
Mathematics of Computation 47 (176), 555-570, 1986
1061986
Numerical methods for singularly perturbed differential equations, volume 24 of Springer Series in Computational Mathematics
HG Roos, M Stynes, L Tobiska
New York, 1996
1021996
A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions
E O’Riordan, M Stynes
Mathematics of computation 57 (195), 47-62, 1991
1011991
Corner singularities and boundary layers in a simple convection–diffusion problem
RB Kellogg, M Stynes
Journal of Differential Equations 213 (1), 81-120, 2005
962005
On faster convergence of the bisection method for all triangles
M Stynes
Mathematics of Computation 35 (152), 1195-1201, 1980
891980
Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
H Chen, M Stynes
Journal of Scientific Computing 79, 624-647, 2019
852019
A balanced finite element method for singularly perturbed reaction-diffusion problems
R Lin, M Stynes
SIAM Journal on Numerical Analysis 50 (5), 2729-2743, 2012
842012
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