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Singularly perturbed problems, fractional differential equations, finite difference schemes
Spain

Activities

Employment (1)

University of Zaragoza: Zaragoza, ES

Associate professor (Department of Applied Mathematics)
Employment
Source: Self-asserted source
Jose Luis Gracia

Education and qualifications (1)

University of Zaragoza: Zaragoza, ES

PhD Thesis (Department of Applied Mathematics)
Qualification
Source: Self-asserted source
Jose Luis Gracia

Works (50 of 80)

Items per page:
Page 1 of 2

Combination of intrusive POD-based reduced-order models and augmented Riemann solvers applied to unsteady 2D shallow water equations

Computer Methods in Applied Mechanics and Engineering
2025-03 | Journal article
Contributors: P. Solán-Fustero; J.L. Gracia; A. Navas-Montilla; P. García-Navarro
Source: check_circle
Crossref

Singularly perturbed elliptic problems of convection–diffusion type with non-smooth inflow/outflow boundary conditions

Journal of Computational and Applied Mathematics
2024-12 | Journal article
Contributors: José Luis Gracia; Eugene O’Riordan
Source: check_circle
Crossref

A collocation method for an RLC fractional derivative two-point boundary value problem with a singular solution

Computational and Applied Mathematics
2024-06 | Journal article
Contributors: José Luis Gracia; Martin Stynes
Source: check_circle
Crossref

A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data

Applied Numerical Mathematics
2023-08 | Journal article
Contributors: J.L. Gracia; E. O'Riordan
Source: check_circle
Crossref

Development of POD-based Reduced Order Models applied to shallow water equations using augmented Riemann solvers

Computer Methods in Applied Mechanics and Engineering
2023-05 | Journal article
Contributors: P. Solán-Fustero; J.L. Gracia; A. Navas-Montilla; P. García-Navarro
Source: check_circle
Crossref

Explorando cuatro problemas fundamentales del álgebra lineal

2022 | Book
Contributors: José Luis Gracia Lozano; Dolores Leris López
Source: check_circle
Crossref

A POD-based ROM strategy for the prediction in time of advection-dominated problems

Journal of Computational Physics
2022-12 | Journal article
Contributors: P. Solán-Fustero; J.L. Gracia; A. Navas-Montilla; P. García-Navarro
Source: check_circle
Crossref

Parameter‐uniform numerical methods for singularly perturbed linear transport problems

Mathematical Methods in the Applied Sciences
2022-11-30 | Journal article
Contributors: José Luis Gracia; Adrian Navas‐Montilla; Eugene O'Riordan
Source: check_circle
Crossref

Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition

APPLIED NUMERICAL MATHEMATICS
2021 | Journal article
Source: check_circle
Universidad de Zaragoza

Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition

Numerical Algorithms
2021-12-20 | Journal article
Contributors: J. L. Gracia; E. O’Riordan
Source: check_circle
Crossref

A finite difference method for an initial–boundary value problem with a Riemann–Liouville–Caputo spatial fractional derivative

Journal of Computational and Applied Mathematics
2021-01 | Journal article
Contributors: José Luis Gracia; Martin Stynes
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data in two space dimensions

Lecture Notes in Computational Science and Engineering
2020 | Journal article
Source: check_circle
Universidad de Zaragoza

Convergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann–Liouville–Caputo fractional derivative

BIT Numerical Mathematics
2020-06-12 | Journal article
Contributors: José Luis Gracia; Eugene O’Riordan; Martin Stynes
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Singularly perturbed reaction–diffusion problems with discontinuities in the initial and/or the boundary data

Journal of Computational and Applied Mathematics
2020-05 | Journal article
Contributors: J.L. Gracia; E. O’Riordan
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Parameter-uniform numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data

APPLIED NUMERICAL MATHEMATICS
2019 | Journal article
Source: check_circle
Universidad de Zaragoza

A fractional-order infiltration model to improve the simulation of rainfall/runoff in combination with a 2D shallow water model

JOURNAL OF HYDROINFORMATICS
2018 | Journal article
Source: check_circle
Universidad de Zaragoza

Fifteenth International Conference Zaragoza-Pau on Mathematics and its Applications: Jaca (Spain), September 10-12, 2018

Source: check_circle
Universidad de Zaragoza

Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type

Numerical Algorithms
2018 | Journal article
Source: check_circle
Universidad de Zaragoza

A Fitted Scheme for a Caputo Initial-Boundary Value Problem

Journal of Scientific Computing
2018-07-03 | Journal article
Contributors: J. L. Gracia; E. O’Riordan; M. Stynes
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem

Computational Methods in Applied Mathematics
2018-01-01 | Journal article
Contributors: José Luis Gracia; Eugene O’Riordan; Martin Stynes
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

A singularly perturbed convection–diffusion problem with a moving pulse

Journal of Computational and Applied Mathematics
2017 | Journal article
Source: check_circle
Universidad de Zaragoza

An efficient numerical method for 2D systems of singularly perturbed parabolic reaction-diffusion equations

2017 | Book chapter
OTHER-ID:

Sideral-cnr-9681

Source: check_circle
Universidad de Zaragoza

An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers

Journal of Computational and Applied Mathematics
2017 | Journal article
Source: check_circle
Universidad de Zaragoza

Aplicación de las derivadas fraccionarias a la simulación hidogeológica

2017 | Book chapter
OTHER-ID:

Sideral-cnr-9680

Source: check_circle
Universidad de Zaragoza

Applying a patched mesh method to efficiently solve a singularly perturbed reaction-diffusion problem

2017 | Book chapter
OTHER-ID:

Sideral-cnr-9647

Source: check_circle
Universidad de Zaragoza

Convergence outside the initial layer for a numerical method for the time-fractional heat equation

Lecture Notes in Computer Science
2017 | Journal article
Source: check_circle
Universidad de Zaragoza

Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation

SIAM JOURNAL ON NUMERICAL ANALYSIS
2017 | Journal article
Source: check_circle
Universidad de Zaragoza

Singularly perturbed initial-boundary value problem with a pulse in the initial condition

Lecture Notes in Computational Science and Engineering
2017 | Journal article
Source: check_circle
Universidad de Zaragoza

Preprocessing schemes for fractional-derivative problems to improve their convergence rates

Applied Mathematics Letters
2017-12 | Journal article
Contributors: Martin Stynes; José Luis Gracia
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Necessary conditions for convergence of difference schemes for fractional-derivative two-point boundary value problems

BIT Numerical Mathematics
2016 | Journal article
Source: check_circle
Universidad de Zaragoza

Numerical approximation of solution derivatives of singularly peprturbed parabolic problems of convection-difffusion type

MATHEMATICS OF COMPUTATION
2016 | Journal article
Source: check_circle
Universidad de Zaragoza

Boundary layers in a two-point boundary value problem with a caputo fractional derivative

Computational Methods in Applied Mathematics
2015 | Journal article
Source: check_circle
Universidad de Zaragoza

Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems

Journal of Computational and Applied Mathematics
2015 | Journal article
Source: check_circle
Universidad de Zaragoza

Formal consistency versus actual convergence rates of difference schemes for fractional-derivative boundary value problems

Fractional Calculus and Applied Analysis
2015 | Journal article
Source: check_circle
Universidad de Zaragoza

Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems

Journal of Computational and Applied Mathematics
2015 | Journal article
Source: check_circle
Universidad de Zaragoza

Scaled discrete derivatives of singularly perturbed elliptic problems

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
2015 | Journal article
Source: check_circle
Universidad de Zaragoza

Schemes Convergent ¿-Uniformly for Parabolic Singularly Perturbed Problems with a Degenerating Convective Term and a Discontinuous Source

MATHEMATICAL MODELLING AND ANALYSIS
2015 | Journal article
Source: check_circle
Universidad de Zaragoza

A finite difference method for a two-point boundary value problem with a Caputo fractional derivative

IMA JOURNAL OF NUMERICAL ANALYSIS
2014 | Journal article
Source: check_circle
Universidad de Zaragoza

An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems

Applied Mathematics and Computation
2014 | Journal article
Source: check_circle
Universidad de Zaragoza

Interior layers in a singularly perturbed time dependent convection-diffusion problem

International Journal of Numerical Analysis and Modeling
2014 | Journal article
OTHER-ID:

Sideral-a-81663

Source: check_circle
Universidad de Zaragoza

On a numerical technique to study difference schemes for singularly perturbed parabolic reaction-diffusion equations

International Journal of Numerical Analysis and Modeling
2014 | Journal article
OTHER-ID:

Sideral-a-100097

Source: check_circle
Universidad de Zaragoza

Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems

COMPUTERS & MATHEMATICS WITH APPLICATIONS
2014 | Journal article
Source: check_circle
Universidad de Zaragoza

A high order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems

Journal of Computational and Applied Mathematics
2013 | Journal article
Source: check_circle
Universidad de Zaragoza

A singularly perturbed reaction-diffusion problem with incompatible boundary-initial data

Lecture Notes in Computer Science
2013 | Journal article
Source: check_circle
Universidad de Zaragoza

Grid approximation of a singularly perturbed parabolic equation with degenerating convective term and discontinuous right-hand side

International Journal of Numerical Analysis and Modeling
2013 | Journal article
OTHER-ID:

Sideral-a-81661

Source: check_circle
Universidad de Zaragoza

A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems

Applied Mathematics and Computation
2012 | Journal article
Source: check_circle
Universidad de Zaragoza

A singularly perturbed convection-diffusion problem with a moving interior layer

International Journal of Numerical Analysis and Modeling
2012 | Journal article
OTHER-ID:

Sideral-a-78278

Source: check_circle
Universidad de Zaragoza

A singularly perturbed parabolic problem with a layer in the initial condition

Applied Mathematics and Computation
2012 | Journal article
Source: check_circle
Universidad de Zaragoza

Numerical experiments for a singularly perturbed parabolic problem with degenerating convective term and discontinuous source

Computational Methods in Applied Mathematics
2012 | Journal article
Source: check_circle
Universidad de Zaragoza

A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems

Journal of Computational and Applied Mathematics
2011 | Journal article
Source: check_circle
Universidad de Zaragoza
Items per page:
Page 1 of 2

Peer review (10 reviews for 7 publications/grants)

Review activity for Applied mathematics and computation. (1)
Review activity for Applied numerical mathematics. (4)
Review activity for Journal of computational and applied mathematics. (1)
Review activity for Journal of scientific computing. (1)
Review activity for Matemática aplicada e computacional (1)
Review activity for Mathematics and computers in simulation. (1)
Review activity for Numerical algorithms. (1)