Jesús Vigo-Aguiar

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 26

Top Topics

Mathematical Methods

Top Venues

J. Comput. Appl. Math.

J. Supercomput.

Comput. Math. Methods

Int. J. Comput. Math.

Publications

Pramod Chakravarthy Podila, Vishwas Sundrani, Higinio Ramos, Jesús Vigo-Aguiar
Wavelet-based approximation for two-dimensional singularly perturbed elliptic problems. J. Comput. Appl. Math. 451 (2024)
Sandra Ranilla-Cortina, Jesús Vigo-Aguiar
Performance enhancement through portfolio optimization of delayed insider information: An analysis and implementation study. J. Comput. Appl. Math. 446 (2024)
Anshima Singh, Sunil Kumar, Jesús Vigo-Aguiar
A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction-diffusion equations exhibiting weak initial singularity. J. Comput. Appl. Math. 434 (2023)
Jesús Vigo-Aguiar, Pedro Alonso, Higinio Ramos
Computational and Mathematical Methods in Science and Engineering. J. Comput. Appl. Math. 404 (2022)
Sumit, Sunil Kumar, Jesús Vigo-Aguiar
Analysis of a nonlinear singularly perturbed Volterra integro-differential equation. J. Comput. Appl. Math. 404 (2022)
Sunil Kumar, Sumit, Jesús Vigo-Aguiar
A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems. J. Comput. Appl. Math. 404 (2022)
Deepti Shakti, Jugal Mohapatra, Pratibhamoy Das, Jesús Vigo-Aguiar
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. J. Comput. Appl. Math. 404 (2022)
Kamalesh Kumar, P. Pramod Chakravarthy, Higinio Ramos, Jesús Vigo-Aguiar
A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters. J. Comput. Appl. Math. 405 (2022)
Sunil Kumar, Sumit, Jesús Vigo-Aguiar
A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution. Math. Comput. Simul. 199 (2022)
Pramod Chakravarthy Podila, Trun Gupta, Jesús Vigo-Aguiar
A numerical scheme for a weakly coupled system of singularly perturbed delay differential equations on an adaptive mesh. Comput. Math. Methods 3 (3) (2021)
Ali Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh Khalsaraei, Raquel García Rubio
A new implicit six-step P-stable method for the numerical solution of Schrödinger equation. Int. J. Comput. Math. 97 (4) (2020)
Jesús Vigo-Aguiar, Raquel García Rubio
CMMSE: Computational and Mathematical Methods in Science and Engineering. Int. J. Comput. Math. 97 (1-2) (2020)
Jesús Vigo-Aguiar, Jorge Eduardo Macías-Díaz, Raquel García Rubio
Special issue: Selected papers of CMMSE. J. Comput. Appl. Math. 354 (2019)
Pratibhamoy Das, Jesús Vigo-Aguiar
Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter. J. Comput. Appl. Math. 354 (2019)
Diego R. Llanos, Jesús Vigo-Aguiar
Computational and mathematical models meet heterogeneous computing. J. Supercomput. 75 (3) (2019)
Jesús Vigo-Aguiar
Editorial. Comput. Math. Methods 1 (1) (2019)
Ali Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh Khalsaraei, Raquel García Rubio
A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions. J. Comput. Appl. Math. 354 (2019)
Ali Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh Khalsaraei, Raquel García Rubio
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. J. Comput. Appl. Math. 354 (2019)
Carmelo Clavero, Jesús Vigo-Aguiar
Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points. Appl. Math. Comput. 317 (2018)
Jesús Vigo-Aguiar, Higinio Ramos, Carmelo Clavero
A first approach in solving initial-value problems in ODEs by elliptic fitting methods. J. Comput. Appl. Math. 318 (2017)
Jesús Vigo-Aguiar, Jesús Medina, Raquel García Rubio
Current computational tools for science engineering and economics at CMMSE. J. Comput. Appl. Math. 318 (2017)
Higinio Ramos, Shubham Mehta, Jesús Vigo-Aguiar
A unified approach for the development of k-step block Falkner-type methods for solving general second-order initial-value problems in ODEs. J. Comput. Appl. Math. 318 (2017)
Pedro Alonso, José Ranilla, Jesús Vigo-Aguiar
High-performance computing: the essential tool and the essential challenge. J. Supercomput. 73 (1) (2017)
Jesús Vigo-Aguiar, Alicia Cordero, Higinio Ramos
Recent trends on Computational and Mathematical Methods in Science and Engineering (CMMSE). J. Comput. Appl. Math. 275 (2015)
Higinio Ramos, Jesús Vigo-Aguiar
The application of Newton's method in vector form for solving nonlinear scalar equations where the classical Newton method fails. J. Comput. Appl. Math. 275 (2015)
Jesús Vigo-Aguiar, Higinio Ramos
On the choice of the frequency in trigonometrically-fitted methods for periodic problems. J. Comput. Appl. Math. 277 (2015)
Higinio Ramos, Jesús Vigo-Aguiar
A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative. Comput. Phys. Commun. 185 (4) (2014)
Jesús Vigo-Aguiar
Preface. J. Math. Model. Algorithms Oper. Res. 13 (4) (2014)
José Ranilla, Ester M. Garzón, Jesús Vigo-Aguiar
High performance computing: an essential tool for science and engineering breakthroughs. J. Supercomput. 70 (2) (2014)
Francisco Almeida, Jesús Vigo-Aguiar
High performance computing tools in science and engineering. J. Supercomput. 65 (3) (2013)
Pedro Alonso, Jesús Vigo-Aguiar
Selected papers on Computational and Mathematical Methods in Science and Engineering (CMMSE). J. Comput. Appl. Math. 252 (2013)
Raquel Cortina, Francisco-Jose Martínez-Zaldívar, Antonio M. Vidal, Jesús Vigo-Aguiar
Preface to high performance computing applied to computational problems in science and engineering. J. Supercomput. 64 (1) (2013)
Jesús Vigo-Aguiar, Pedro Alonso
New Optimization Techniques in Engineering. J. Math. Model. Algorithms Oper. Res. 12 (3) (2013)
Jesús Vigo-Aguiar
Editorial. Int. J. Comput. Math. 90 (10) (2013)
Jesús Vigo-Aguiar, Pedro Alonso
Computational and mathematical methods in science and engineering. Int. J. Comput. Math. 89 (13-14) (2012)
Jesús Vigo-Aguiar, Juan Carlos Reboredo, Higinio Ramos Calle
Topics of contemporary computational mathematics. Int. J. Comput. Math. 89 (3) (2012)
Jesús Vigo-Aguiar, Juan Antonio López Ramos
Applications of computational mathematics in science and engineering. Int. J. Comput. Math. 88 (9) (2011)
José Ranilla, Enrique S. Quintana-Ortí, Jesús Vigo-Aguiar
High performance computing tools in science and engineering. J. Supercomput. 58 (2) (2011)
Jesús Vigo-Aguiar, Guido Vanden Berghe
Advances in Computational and Mathematical Methods in Science and Engineering. J. Comput. Appl. Math. 235 (7) (2011)
Jesús Vigo-Aguiar, Higinio Ramos
A numerical ODE solver that preserves the fixed points and their stability. J. Comput. Appl. Math. 235 (7) (2011)
Enrique S. Quintana-Ortí, José Ranilla, Jesús Vigo-Aguiar
High performance computing tools in science and engineering II. J. Supercomput. 58 (3) (2011)
Higinio Ramos, Jesús Vigo-Aguiar
On the frequency choice in trigonometrically fitted methods. Appl. Math. Lett. 23 (11) (2010)
Fernando García-Alonso, José A. Reyes, José M. Ferrándiz, Jesús Vigo-Aguiar
Accurate Numerical Integration of Perturbed Oscillatory Systems in Two Frequencies. ACM Trans. Math. Softw. 36 (4) (2009)
Fernando García-Alonso, José A. Reyes, José M. Ferrándiz, Jesús Vigo-Aguiar
Multistep numerical methods for the integration of oscillatory problems in several frequencies. Adv. Eng. Softw. 40 (8) (2009)
Jesús Vigo-Aguiar, Juan Luis García Guirao
Preface. Int. J. Comput. Math. 86 (10&11) (2009)
J. Martín-Vaquero, Jesús Vigo-Aguiar
Exponential fitted Gauss, Radau and Lobatto methods of low order. Numer. Algorithms 48 (4) (2008)
J. Martín-Vaquero, Jesús Vigo-Aguiar
Explicit finite difference schemes adapted to advection-reaction equations. Int. J. Comput. Math. 85 (3&4) (2008)
Jesús Vigo-Aguiar, J. Martín-Vaquero, Higinio Ramos
Exponential fitting BDF-Runge-Kutta algorithms. Comput. Phys. Commun. 178 (1) (2008)
Higinio Ramos, Jesús Vigo-Aguiar
A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems. Int. J. Comput. Math. 85 (3&4) (2008)
Jesús Vigo-Aguiar, J. Martín-Vaquero
Exponential fitting BDF algorithms and their properties. Appl. Math. Comput. 190 (1) (2007)
J. Martín-Vaquero, Jesús Vigo-Aguiar
Adapted BDF Algorithms: Higher-order Methods and Their Stability. J. Sci. Comput. 32 (2) (2007)
José A. Reyes, Fernando García-Alonso, José M. Ferrándiz, Jesús Vigo-Aguiar
Numeric multistep variable methods for perturbed linear system integration. Appl. Math. Comput. 190 (1) (2007)
Theodore E. Simos, Jesús Vigo-Aguiar
Preface. Math. Comput. Model. 42 (7-8) (2005)
Jesús Vigo-Aguiar, Erkki J. Brändas
New algorithms and trends in modelling. J. Math. Model. Algorithms 4 (3) (2005)
Jesús Vigo-Aguiar, R. Ardanuy-Albajar, Bruce A. Wade
Stochastic methods for Dirichlet problems. J. Math. Model. Algorithms 4 (3) (2005)
Angel Tocino, Jesús Vigo-Aguiar
Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods. Math. Comput. Model. 42 (7-8) (2005)
Higinio Ramos, Jesús Vigo-Aguiar
Variable stepsize störmer-cowell methods. Math. Comput. Model. 42 (7-8) (2005)
Jesús Vigo-Aguiar
Preface. J. Comput. Methods Sci. Eng. 4 (1-2) (2004)
Jesús Vigo-Aguiar, Srinivasan Natesan
A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems. J. Supercomput. 27 (2) (2004)
Angel Tocino, Jesús Vigo-Aguiar
Weak Second Order Conditions for Stochastic Runge-Kutta Methods. SIAM J. Sci. Comput. 24 (2) (2002)
Tom E. Simos, Jesús Vigo-Aguiar
A Modified Runge-Kutta Method with Phase-lag of Order Infinity for the Numerical Solution of the Schrödinger Equation and Related Problems. Comput. Chem. 25 (3) (2001)
Jesús Vigo-Aguiar, Luis M. Quintales
A Parallel ODE Solver Adapted to Oscillatory Problems. J. Supercomput. 19 (2) (2001)
Manuel Calvo, Jesús Vigo-Aguiar
A Note on the Step Size Selection in Adams Multistep Methods. Numer. Algorithms 27 (4) (2001)
Jesús Vigo-Aguiar, Francisco Andrés-Pérez
Backward differentiation formulae adapted to scalar linear equations. Appl. Math. Lett. 14 (5) (2001)
Jesús Vigo-Aguiar
High Order Bessel Fitting Methods for the Numerical Integration of the Schrödinger Equation. Comput. Chem. 25 (1) (2001)
Jesús Vigo-Aguiar, Luis M. Quintales, Srinivasan Natesan
An Efficient Parallel Algorithm for the Numerical Solution of Schrödinger Equation. VECPAR (2000)
Srinivasan Natesan, Jesús Vigo-Aguiar
A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems. PDPTA (2000)
Jesús Vigo-Aguiar, Luis M. Quintales
A Parallel ODE Solver Adapted to Oscillatory Problems. PDPTA (1999)