A computational method for solving boundary value problems for third order singularly perturbed ordinary differential equations S Valarmathi, N Ramanujam Applied Mathematics and Computation 129, 345-373, 2002 | 46 | 2002 |
Second order parameter--uniform convergence for a finite difference method for a singularly perturbed linear reaction--diffusion system P Mathiyazhagan, S Valarmathi, JJH Miller Mathematical Communications 15 (2), 587-612, 2010 | 44 | 2010 |
An asymptotic numerical method for singularly perturbed third order ordinary differential equations of convection-diffusion type S Valarmathi, N Ramanujam Computers and Mathematics with Applications 44, 693-710, 2002 | 44 | 2002 |
Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system V Franklin, M Paramasivam, S Valarmathi, JJH Miller arXiv preprint arXiv:1008.2470, 2010 | 37 | 2010 |
A Parameter-Uniform Finite Difference Method for Singularly Perturbed Linear Dynamical Systems S Valarmathi, JJH Miller International Journal of Numerical Analysis and Modeling 7 (3), 535-548, 2010 | 30* | 2010 |
A parameter-uniform numerical method for a system of singularly perturbed ordinary differential equations S Hemavathi, T Bhuvaneswari, S Valarmathi, JJH Miller Applied Mathematics and Computation 191 (1), 1-11, 2007 | 28 | 2007 |
A parameter-uniform first order convergent numerical method for a singularly perturbed delay differential equation M Manikandan, N Shivaranjani, Miller, J.J.H., S Valarmathi Advances in Applied Mathematics 87, 71-88, 2014 | 26* | 2014 |
Computational method for solving two-parameter singularly perturbed boundary value problems for second order ordinary differential equations S Valarmathi, N Ramanujam Applied Mathematics and Computation 136, 415-441, 2003 | 26 | 2003 |
Boundary Value Technique for finding numerical solution to boundary value problems for third order singularly perturbed ordinary differential equations S Valarmathi, N Ramanujam International Journal of Computer Mathematics 79 (6), 747-763, 2002 | 25 | 2002 |
Solving a partially singularly perturbed initial value problem on Shishkin meshes PM Meenakshi, S Valarmathi, JJH Miller Applied Mathematics and Computation 215, 3170-3180, 2010 | 21 | 2010 |
An asymptotic numerical fitted mesh method for singularly perturbed third order ordinary differential equations of reaction-diffusion type S Valarmathi, N Ramanujam Applied Mathematics and Computation 132, 87-104, 2002 | 21 | 2002 |
Parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system with discontinuous source terms M Paramasivam, JJH Miller, S Valarmathi Int. J. Numer. Anal. Model 11 (2), 385-399, 2014 | 13 | 2014 |
A parameter uniform numerical method for a singularly perturbed two-parameter delay differential equation SS Kalaiselvan, JJH Miller, V Sigamani Applied Numerical Mathematics 145, 90-110, 2019 | 11 | 2019 |
A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations SS Kalaiselvan, JJH Miller, V Sigamani Mathematical Communications 24 (2), 193-210, 2019 | 10 | 2019 |
A Parameter Uniform Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations S Nagarajan, R Narasimhan, JJH Miller, S Valarmathi Advances in Applied Mathematics, 127-138, 2014 | 10 | 2014 |
A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction–diffusion type with … R Ishwariya, JJH Miller, S Valarmathi International Journal of Biomathematics 12 (01), 1950001, 2019 | 9 | 2019 |
Second order parameter-uniform numerical method for a partially singularly perturbed linear system of reaction-diusion type M Paramasivam, JJH Miller, S Valarmathi Mathematical Communications 18 (1), 271-295, 2013 | 9 | 2013 |
Numerical Method for a Singularly Perturbed Boundary Value Problem for a Linear Parabolic Second Order Delay Differential Equation P Swaminathan, S Valarmathi, F Victor Differential Equations and Numerical Analysis, 117-133, 2016 | 8 | 2016 |
A numerical method to solve a singularly perturbed linear parabolic second order delay differential equation of reaction – diffusion type S Parthiban, S Valarmathi, V Franklin Malaya Journal of Mathematik, 412-420, 2015 | 8 | 2015 |
A parameter-uniform finite difference method for a singularly perturbed initial value problem: a special case S Valarmathi, JJH Miller BAIL 2008-Boundary and Interior Layers: Proceedings of the International …, 2009 | 8 | 2009 |