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Carmelo Clavero
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2020 – today
- 2024
- [j30]Carmelo Clavero
, Ram Shiromani
A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. J. Comput. Appl. Math. 436: 115422 (2024) - 2023
- [j29]Carmelo Clavero
Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions. Comput. Math. Appl. 140: 1-16 (2023) - [j28]Carmelo Clavero
A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems. J. Comput. Appl. Math. 417: 114569 (2023) - 2021
- [j27]Carmelo Clavero
A uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters. Comput. Math. Methods 3(3) (2021) - 2020
- [j26]Carmelo Clavero
An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type. Numer. Algorithms 85(3): 1005-1027 (2020)
2010 – 2019
- 2019
- [j25]Carmelo Clavero
An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems. J. Comput. Appl. Math. 354: 431-444 (2019) - [j24]Carmelo Clavero
Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type. Numer. Algorithms 80(4): 1097-1120 (2019) - 2018
- [j23]Carmelo Clavero
Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points. Appl. Math. Comput. 317: 223-233 (2018) - [j22]Carmelo Clavero
Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: A splitting by components. J. Comput. Appl. Math. 344: 1-14 (2018) - 2017
- [j21]Jesús Vigo-Aguiar
A first approach in solving initial-value problems in ODEs by elliptic fitting methods. J. Comput. Appl. Math. 318: 599-603 (2017) - [j20]Carmelo Clavero
An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. J. Comput. Appl. Math. 318: 634-645 (2017) - [j19]Carmelo Clavero
A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction. Numer. Algorithms 75(3): 809-826 (2017) - 2016
- [j18]Carmelo Clavero
Uniform convergence and order reduction of the fractional implicit Euler method to solve singularly perturbed 2D reaction-diffusion problems. Appl. Math. Comput. 287-288: 12-27 (2016) - 2015
- [j17]Carmelo Clavero
Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems. Comput. Math. Appl. 70(3): 222-235 (2015) - 2014
- [j16]Carmelo Clavero
An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems. Appl. Math. Comput. 243: 57-73 (2014) - [j15]Carmelo Clavero
Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems. Comput. Math. Appl. 67(3): 655-670 (2014) - 2013
- [j14]Carmelo Clavero
A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems. J. Comput. Appl. Math. 252: 75-85 (2013) - 2012
- [j13]Carmelo Clavero
A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems. Appl. Math. Comput. 218(9): 5067-5080 (2012) - [j12]Carmelo Clavero
Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source. Comput. Methods Appl. Math. 12(2): 139-152 (2012) - 2011
- [j11]Carmelo Clavero
A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. J. Comput. Appl. Math. 235(17): 5240-5248 (2011) - 2010
- [j10]Carmelo Clavero
On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems. Appl. Math. Comput. 216(5): 1478-1488 (2010) - [j9]Rajesh K. Bawa, Carmelo Clavero
Higher order global solution and normalized flux for singularly perturbed reaction-diffusion problems. Appl. Math. Comput. 216(7): 2058-2068 (2010) - [j8]Carmelo Clavero
An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems. J. Comput. Appl. Math. 234(8): 2501-2515 (2010)
2000 – 2009
- 2009
- [j7]Carmelo Clavero
A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems. Int. J. Comput. Math. 86(10&11): 1731-1745 (2009) - 2007
- [j6]Blanca Bujanda, Carmelo Clavero
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems. Numerische Mathematik 107(1): 1-25 (2007) - 2005
- [j5]Carmelo Clavero
High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems. Appl. Math. Comput. 168(2): 1109-1127 (2005) - [j4]Carmelo Clavero
A parameter robust numerical method for a two dimensional reaction-diffusion problem. Math. Comput. 74(252): 1743-1758 (2005) - 2001
- [j3]Carmelo Clavero
Numerical experiments for advection-diffusion problems in a channel with a 180° bend. Appl. Math. Comput. 118(2-3): 223-246 (2001) - 2000
- [c3]Francisco José Gaspar, Francisco Javier Lisbona, Carmelo Clavero
Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems. NAA 2000: 316-324 - [c2]Jose L. Gracia, Francisco Javier Lisbona, Carmelo Clavero
High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems. NAA 2000: 350-358
1990 – 1999
- 1999
- [j2]Carmelo Clavero
High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type. Numer. Algorithms 22(1): 73-97 (1999) - 1996
- [c1]Carmelo Clavero
Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems. WNAA 1996: 106-113 - 1993
- [j1]Carmelo Clavero
Uniformly convergent finite difference methods for singularly perturbed problems with turning points. Numer. Algorithms 4(3): 339-359 (1993)
Coauthor Index
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