Uniformly convergent finite difference methods for singularly perturbed problems with turning points. - Carmelo Clavero; Francisco Javier Lisbona (Numer. Algorithms, 1993)

Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems. - Carmelo Clavero; Juan Carlos Jorge; Francisco Javier Lisbona; Grigorii I. Shishkin (WNAA, 1996)

High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type. - Carmelo Clavero; Jose L. Gracia; Francisco Javier Lisbona (Numer. Algorithms, 1999)

Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems. - Francisco José Gaspar; Francisco Javier Lisbona; Carmelo Clavero (NAA, 2000)

High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems. - Jose L. Gracia; Francisco Javier Lisbona; Carmelo Clavero (NAA, 2000)

Numerical experiments for advection-diffusion problems in a channel with a 180° bend. - Carmelo Clavero; John J. H. Miller; Eugene O'Riordan; Grigorii I. Shishkin (Appl. Math. Comput., 2001)

High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems. - Carmelo Clavero; Jose L. Gracia (Appl. Math. Comput., 2005)

A parameter robust numerical method for a two dimensional reaction-diffusion problem. - Carmelo Clavero; Jose L. Gracia; Eugene O'Riordan (Math. Comput., 2005)

A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems. - Blanca Bujanda; Carmelo Clavero; Jose L. Gracia; Juan Carlos Jorge (Numerische Mathematik, 2007)

A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems. - Carmelo Clavero; Rajesh K. Bawa; Srinivasan Natesan (Int. J. Comput. Math., 2009)

Higher order global solution and normalized flux for singularly perturbed reaction-diffusion problems. - Rajesh K. Bawa; Carmelo Clavero (Appl. Math. Comput., 2010)

On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems. - Carmelo Clavero; Jose L. Gracia (Appl. Math. Comput., 2010)

An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems. - Carmelo Clavero; Jose L. Gracia; Francisco Javier Lisbona (J. Comput. Appl. Math., 2010)

A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. - Carmelo Clavero; Jose L. Gracia; Martin Stynes (J. Comput. Appl. Math., 2011)

A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems. - Carmelo Clavero; Jose L. Gracia (Appl. Math. Comput., 2012)

Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source. - Carmelo Clavero; Jose L. Gracia; Grigorii I. Shishkin; Lidia P. Shishkina (Comput. Methods Appl. Math., 2012)

A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems. - Carmelo Clavero; Jose L. Gracia (J. Comput. Appl. Math., 2013)

An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems. - Carmelo Clavero; Jose L. Gracia (Appl. Math. Comput., 2014)

Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems. - Carmelo Clavero; Jose L. Gracia (Comput. Math. Appl., 2014)

Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems. - Carmelo Clavero; Juan Carlos Jorge (Comput. Math. Appl., 2015)

Uniform convergence and order reduction of the fractional implicit Euler method to solve singularly perturbed 2D reaction-diffusion problems. - Carmelo Clavero; Juan Carlos Jorge (Appl. Math. Comput., 2016)

An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. - Carmelo Clavero; Jose L. Gracia; Grigorii I. Shishkin; Lidia P. Shishkina (J. Comput. Appl. Math., 2017)

A first approach in solving initial-value problems in ODEs by elliptic fitting methods. - Jesús Vigo-Aguiar; Higinio Ramos; Carmelo Clavero (J. Comput. Appl. Math., 2017)

A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction. - Carmelo Clavero; Juan Carlos Jorge (Numer. Algorithms, 2017)

Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points. - Carmelo Clavero; Jesús Vigo-Aguiar (Appl. Math. Comput., 2018)

Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: A splitting by components. - Carmelo Clavero; Juan Carlos Jorge (J. Comput. Appl. Math., 2018)

An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems. - Carmelo Clavero; Juan Carlos Jorge (J. Comput. Appl. Math., 2019)

Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type. - Carmelo Clavero; Jose L. Gracia (Numer. Algorithms, 2019)

An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type. - Carmelo Clavero; Juan Carlos Jorge (Numer. Algorithms, 2020)

A uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters. - Carmelo Clavero; Juan Carlos Jorge (Comput. Math. Methods, 2021)

A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems. - Carmelo Clavero; Juan Carlos Jorge (J. Comput. Appl. Math., 2023)

Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions. - Carmelo Clavero; Ram Shiromani; Vembu Shanthi (Comput. Math. Appl., 2023)

A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. - Carmelo Clavero; Ram Shiromani; Vembu Shanthi (J. Comput. Appl. Math., 2024)

An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms. - Carmelo Clavero; Ram Shiromani (Comput. Math. Appl., 2025)

An efficient numerical method for 1D singularly perturbed parabolic convection-diffusion systems with repulsive interior turning points. - Carmelo Clavero; Juan Carlos Jorge (J. Comput. Appl. Math., 2025)