Jesús Vigo-Aguiar

According to our database, Jesús Vigo-Aguiar authored at least 62 papers between 2000 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2023

A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction-diffusion equations exhibiting weak initial singularity.

Anshima Singh, Sunil Kumar, Jesús Vigo-Aguiar

J. Comput. Appl. Math., December, 2023

2022

A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution.

Sunil Kumar, Sumit, Jesús Vigo-Aguiar

Math. Comput. Simul., 2022

Computational and Mathematical Methods in Science and Engineering.

Jesús Vigo-Aguiar, Pedro Alonso, Higinio Ramos

J. Comput. Appl. Math., 2022

Analysis of a nonlinear singularly perturbed Volterra integro-differential equation.

Sumit, Sunil Kumar, Jesús Vigo-Aguiar

J. Comput. Appl. Math., 2022

A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms.

Deepti Shakti, Jugal Mohapatra, Pratibhamoy Das, Jesús Vigo-Aguiar

J. Comput. Appl. Math., 2022

A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems.

Sunil Kumar, Sumit, Jesús Vigo-Aguiar

J. Comput. Appl. Math., 2022

A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters.

Kamalesh Kumar, P. Pramod Chakravarthy, Higinio Ramos, Jesús Vigo-Aguiar

J. Comput. Appl. Math., 2022

2021

A numerical scheme for a weakly coupled system of singularly perturbed delay differential equations on an adaptive mesh.

Pramod Chakravarthy Podila, Trun Gupta, Jesús Vigo-Aguiar

Comput. Math. Methods, 2021

2020

CMMSE: Computational and Mathematical Methods in Science and Engineering.

Jesús Vigo-Aguiar, Raquel García Rubio

Int. J. Comput. Math., 2020

A new implicit six-step P-stable method for the numerical solution of Schrödinger equation.

Ali Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh Khalsaraei, Raquel García Rubio

Int. J. Comput. Math., 2020

2019

Computational and mathematical models meet heterogeneous computing.

Diego R. Llanos, Jesús Vigo-Aguiar

J. Supercomput., 2019

Special issue: Selected papers of CMMSE.

Jesús Vigo-Aguiar, Jorge Eduardo Macías-Díaz, Raquel García Rubio

J. Comput. Appl. Math., 2019

A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation.

Ali Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh Khalsaraei, Raquel García Rubio

J. Comput. Appl. Math., 2019

A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions.

Ali Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh Khalsaraei, Raquel García Rubio

J. Comput. Appl. Math., 2019

Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter.

Pratibhamoy Das, Jesús Vigo-Aguiar

J. Comput. Appl. Math., 2019

Editorial.

Jesús Vigo-Aguiar

Comput. Math. Methods, 2019

2018

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

2017

High-performance computing: the essential tool and the essential challenge.

Pedro Alonso, José Ranilla, Jesús Vigo-Aguiar

J. Supercomput., 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

Current computational tools for science engineering and economics at CMMSE.

Jesús Vigo-Aguiar, Jesús Medina, Raquel García Rubio

J. Comput. Appl. Math., 2017

A unified approach for the development of k-step block Falkner-type methods for solving general second-order initial-value problems in ODEs.

Higinio Ramos, Shubham Mehta, Jesús Vigo-Aguiar

J. Comput. Appl. Math., 2017

2015

On the choice of the frequency in trigonometrically-fitted methods for periodic problems.

Jesús Vigo-Aguiar, Higinio Ramos

J. Comput. Appl. Math., 2015

Recent trends on Computational and Mathematical Methods in Science and Engineering (CMMSE).

Jesús Vigo-Aguiar, Alicia Cordero, Higinio Ramos

J. Comput. Appl. Math., 2015

The application of Newton's method in vector form for solving nonlinear scalar equations where the classical Newton method fails.

Higinio Ramos, Jesús Vigo-Aguiar

J. Comput. Appl. Math., 2015

2014

High performance computing: an essential tool for science and engineering breakthroughs.

José Ranilla, Ester M. Garzón, Jesús Vigo-Aguiar

J. Supercomput., 2014

Preface.

Jesús Vigo-Aguiar

J. Math. Model. Algorithms Oper. Res., 2014

A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative.

Higinio Ramos, Jesús Vigo-Aguiar

Comput. Phys. Commun., 2014

2013

Preface to high performance computing applied to computational problems in science and engineering.

Raquel Cortina, Francisco-Jose Martínez-Zaldívar, Antonio M. Vidal, Jesús Vigo-Aguiar

J. Supercomput., 2013

High performance computing tools in science and engineering.

Francisco Almeida, Jesús Vigo-Aguiar

J. Supercomput., 2013

New Optimization Techniques in Engineering.

Jesús Vigo-Aguiar, Pedro Alonso

J. Math. Model. Algorithms Oper. Res., 2013

Selected papers on Computational and Mathematical Methods in Science and Engineering (CMMSE).

Pedro Alonso, Jesús Vigo-Aguiar

J. Comput. Appl. Math., 2013

2012

Topics of contemporary computational mathematics.

Jesús Vigo-Aguiar, Juan Carlos Reboredo, Higinio Ramos Calle

Int. J. Comput. Math., 2012

Computational and mathematical methods in science and engineering.

Jesús Vigo-Aguiar, Pedro Alonso

Int. J. Comput. Math., 2012

2011

High performance computing tools in science and engineering.

José Ranilla, Enrique S. Quintana-Ortí, Jesús Vigo-Aguiar

J. Supercomput., 2011

High performance computing tools in science and engineering II.

Enrique S. Quintana-Ortí, José Ranilla, Jesús Vigo-Aguiar

J. Supercomput., 2011

A numerical ODE solver that preserves the fixed points and their stability.

Jesús Vigo-Aguiar, Higinio Ramos

J. Comput. Appl. Math., 2011

Advances in Computational and Mathematical Methods in Science and Engineering.

Jesús Vigo-Aguiar, Guido Vanden Berghe

J. Comput. Appl. Math., 2011

Applications of computational mathematics in science and engineering.

Jesús Vigo-Aguiar, Juan Antonio López Ramos

Int. J. Comput. Math., 2011

2010

On the frequency choice in trigonometrically fitted methods.

Higinio Ramos, Jesús Vigo-Aguiar

Appl. Math. Lett., 2010

2009

Accurate Numerical Integration of Perturbed Oscillatory Systems in Two Frequencies.

Fernando García-Alonso, José A. Reyes, José M. Ferrándiz, Jesús Vigo-Aguiar

ACM Trans. Math. Softw., 2009

Preface.

Jesús Vigo-Aguiar, Juan Luis García Guirao

Int. J. Comput. Math., 2009

Multistep numerical methods for the integration of oscillatory problems in several frequencies.

Fernando García-Alonso, José A. Reyes, José M. Ferrándiz, Jesús Vigo-Aguiar

Adv. Eng. Softw., 2009

2008

Exponential fitted Gauss, Radau and Lobatto methods of low order.

J. Martín-Vaquero, Jesús Vigo-Aguiar

Numer. Algorithms, 2008

A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems.

Higinio Ramos, Jesús Vigo-Aguiar

Int. J. Comput. Math., 2008

Explicit finite difference schemes adapted to advection-reaction equations.

J. Martín-Vaquero, Jesús Vigo-Aguiar

Int. J. Comput. Math., 2008

Exponential fitting BDF-Runge-Kutta algorithms.

Jesús Vigo-Aguiar, J. Martín-Vaquero, Higinio Ramos

Comput. Phys. Commun., 2008

2007

Adapted BDF Algorithms: Higher-order Methods and Their Stability.

J. Martín-Vaquero, Jesús Vigo-Aguiar

J. Sci. Comput., 2007

Exponential fitting BDF algorithms and their properties.

Jesús Vigo-Aguiar, J. Martín-Vaquero

Appl. Math. Comput., 2007

Numeric multistep variable methods for perturbed linear system integration.

José A. Reyes, Fernando García-Alonso, José M. Ferrándiz, Jesús Vigo-Aguiar

Appl. Math. Comput., 2007

2005

Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods.

Angel Tocino, Jesús Vigo-Aguiar

Math. Comput. Model., 2005

Preface.

Theodore E. Simos, Jesús Vigo-Aguiar

Math. Comput. Model., 2005

Variable stepsize störmer-cowell methods.

Higinio Ramos, Jesús Vigo-Aguiar

Math. Comput. Model., 2005

New algorithms and trends in modelling.

Jesús Vigo-Aguiar, Erkki J. Brändas

J. Math. Model. Algorithms, 2005

Stochastic methods for Dirichlet problems.

Jesús Vigo-Aguiar, R. Ardanuy-Albajar, Bruce A. Wade

J. Math. Model. Algorithms, 2005

2004

A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems.

Jesús Vigo-Aguiar, Srinivasan Natesan

J. Supercomput., 2004

2002

Weak Second Order Conditions for Stochastic Runge-Kutta Methods.

Angel Tocino, Jesús Vigo-Aguiar

SIAM J. Sci. Comput., 2002

2001

A Parallel ODE Solver Adapted to Oscillatory Problems.

Jesús Vigo-Aguiar, Luis M. Quintales

J. Supercomput., 2001

A Note on the Step Size Selection in Adams Multistep Methods.

Manuel Calvo, Jesús Vigo-Aguiar

Numer. Algorithms, 2001

High Order Bessel Fitting Methods for the Numerical Integration of the Schrödinger Equation.

Jesús Vigo-Aguiar

Comput. Chem., 2001

A Modified Runge-Kutta Method with Phase-lag of Order Infinity for the Numerical Solution of the Schrödinger Equation and Related Problems.

Tom E. Simos, Jesús Vigo-Aguiar

Comput. Chem., 2001

Backward differentiation formulae adapted to scalar linear equations.

Jesús Vigo-Aguiar, Francisco Andrés-Pérez

Appl. Math. Lett., 2001

2000

An Efficient Parallel Algorithm for the Numerical Solution of Schrödinger Equation.

Jesús Vigo-Aguiar, Luis M. Quintales, Srinivasan Natesan

Proceedings of the Vector and Parallel Processing, 2000