An Efficient Parallel Algorithm for the Numerical Solution of Schrödinger Equation. - Jesús Vigo-Aguiar; Luis M. Quintales; Srinivasan Natesan (VECPAR, 2000)

Backward differentiation formulae adapted to scalar linear equations. - Jesús Vigo-Aguiar; Francisco Andrés-Pérez (Appl. Math. Lett., 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)

High Order Bessel Fitting Methods for the Numerical Integration of the Schrödinger Equation. - Jesús Vigo-Aguiar (Comput. Chem., 2001)

A Note on the Step Size Selection in Adams Multistep Methods. - Manuel Calvo; Jesús Vigo-Aguiar (Numer. Algorithms, 2001)

A Parallel ODE Solver Adapted to Oscillatory Problems. - Jesús Vigo-Aguiar; Luis M. Quintales (J. Supercomput., 2001)

Weak Second Order Conditions for Stochastic Runge-Kutta Methods. - Angel Tocino; Jesús Vigo-Aguiar (SIAM J. Sci. Comput., 2002)

Preface. - Jesús Vigo-Aguiar (J. Comput. Methods Sci. Eng., 2004)

A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems. - Jesús Vigo-Aguiar; Srinivasan Natesan (J. Supercomput., 2004)

Stochastic methods for Dirichlet problems. - Jesús Vigo-Aguiar; R. Ardanuy-Albajar; Bruce A. Wade (J. Math. Model. Algorithms, 2005)

New algorithms and trends in modelling. - Jesús Vigo-Aguiar; Erkki J. Brändas (J. Math. Model. Algorithms, 2005)

Variable stepsize störmer-cowell methods. - Higinio Ramos; Jesús Vigo-Aguiar (Math. Comput. Model., 2005)

Preface. - Theodore E. Simos; Jesús Vigo-Aguiar (Math. Comput. Model., 2005)

Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods. - Angel Tocino; Jesús Vigo-Aguiar (Math. Comput. Model., 2005)

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)

Exponential fitting BDF algorithms and their properties. - Jesús Vigo-Aguiar; J. Martín-Vaquero (Appl. Math. Comput., 2007)

Adapted BDF Algorithms: Higher-order Methods and Their Stability. - J. Martín-Vaquero; Jesús Vigo-Aguiar (J. Sci. Comput., 2007)

Exponential fitting BDF-Runge-Kutta algorithms. - Jesús Vigo-Aguiar; J. Martín-Vaquero; Higinio Ramos (Comput. Phys. Commun., 2008)

Explicit finite difference schemes adapted to advection-reaction equations. - J. Martín-Vaquero; Jesús Vigo-Aguiar (Int. J. Comput. Math., 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)

Exponential fitted Gauss, Radau and Lobatto methods of low order. - J. Martín-Vaquero; Jesús Vigo-Aguiar (Numer. Algorithms, 2008)

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)

Preface. - Jesús Vigo-Aguiar; Juan Luis García Guirao (Int. J. Comput. Math., 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)

On the frequency choice in trigonometrically fitted methods. - Higinio Ramos; Jesús Vigo-Aguiar (Appl. Math. Lett., 2010)

Applications of computational mathematics in science and engineering. - Jesús Vigo-Aguiar; Juan Antonio López Ramos (Int. J. Comput. Math., 2011)

Advances in Computational and Mathematical Methods in Science and Engineering. - Jesús Vigo-Aguiar; Guido Vanden Berghe (J. Comput. Appl. Math., 2011)

A numerical ODE solver that preserves the fixed points and their stability. - Jesús Vigo-Aguiar; Higinio Ramos (J. Comput. Appl. Math., 2011)

High performance computing tools in science and engineering II. - Enrique S. Quintana-Ortí; José Ranilla; Jesús Vigo-Aguiar (J. Supercomput., 2011)

High performance computing tools in science and engineering. - José Ranilla; Enrique S. Quintana-Ortí; Jesús Vigo-Aguiar (J. Supercomput., 2011)

Computational and mathematical methods in science and engineering. - Jesús Vigo-Aguiar; Pedro Alonso 001 (Int. J. Comput. Math., 2012)

Topics of contemporary computational mathematics. - Jesús Vigo-Aguiar; Juan Carlos Reboredo; Higinio Ramos Calle (Int. J. Comput. Math., 2012)

Editorial. - Jesús Vigo-Aguiar (Int. J. Comput. Math., 2013)

Selected papers on Computational and Mathematical Methods in Science and Engineering (CMMSE). - Pedro Alonso 001; Jesús Vigo-Aguiar (J. Comput. Appl. Math., 2013)

New Optimization Techniques in Engineering. - Jesús Vigo-Aguiar; Pedro Alonso 001 (J. Math. Model. Algorithms Oper. Res., 2013)

High performance computing tools in science and engineering. - Francisco Almeida; Jesús Vigo-Aguiar (J. Supercomput., 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)

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)

High performance computing: an essential tool for science and engineering breakthroughs. - José Ranilla; Ester M. Garzón; Jesús Vigo-Aguiar (J. Supercomput., 2014)

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)

Recent trends on Computational and Mathematical Methods in Science and Engineering (CMMSE). - Jesús Vigo-Aguiar; Alicia Cordero; Higinio Ramos (J. Comput. Appl. Math., 2015)

On the choice of the frequency in trigonometrically-fitted methods for periodic problems. - Jesús Vigo-Aguiar; Higinio Ramos (J. Comput. Appl. Math., 2015)

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)

Current computational tools for science engineering and economics at CMMSE. - Jesús Vigo-Aguiar; Jesús Medina 001; Raquel García Rubio (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)

High-performance computing: the essential tool and the essential challenge. - Pedro Alonso 002; José Ranilla; Jesús Vigo-Aguiar (J. Supercomput., 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)

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)

A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions. - Ali Shokri 002; Jesús Vigo-Aguiar; Mohammad Mehdizadeh Khalsaraei; 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 002; Jesús Vigo-Aguiar; Mohammad Mehdizadeh Khalsaraei; Raquel García Rubio (J. Comput. Appl. Math., 2019)

Special issue: Selected papers of CMMSE. - Jesús Vigo-Aguiar; Jorge Eduardo Macías-Díaz; Raquel García Rubio (J. Comput. Appl. Math., 2019)

Computational and mathematical models meet heterogeneous computing. - Diego R. Llanos; Jesús Vigo-Aguiar (J. Supercomput., 2019)

A new implicit six-step P-stable method for the numerical solution of Schrödinger equation. - Ali Shokri 002; Jesús Vigo-Aguiar; Mohammad Mehdizadeh Khalsaraei; Raquel García Rubio (Int. J. Comput. Math., 2020)

CMMSE: Computational and Mathematical Methods in Science and Engineering. - Jesús Vigo-Aguiar; Raquel García Rubio (Int. J. Comput. Math., 2020)

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)

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)

A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems. - Sunil Kumar 002; Sumit; 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)

Analysis of a nonlinear singularly perturbed Volterra integro-differential equation. - Sumit; Sunil Kumar 002; Jesús Vigo-Aguiar (J. Comput. Appl. Math., 2022)

Computational and Mathematical Methods in Science and Engineering. - Jesús Vigo-Aguiar; Pedro Alonso 001; Higinio Ramos (J. Comput. Appl. Math., 2022)

A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution. - Sunil Kumar 002; Sumit; Jesús Vigo-Aguiar (Math. Comput. Simul., 2022)

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 002; Jesús Vigo-Aguiar (J. Comput. Appl. Math., 2023)

Wavelet-based approximation for two-dimensional singularly perturbed elliptic problems. - Pramod Chakravarthy Podila; Vishwas Sundrani; Higinio Ramos; Jesús Vigo-Aguiar (J. Comput. Appl. Math., 2024)

Performance enhancement through portfolio optimization of delayed insider information: An analysis and implementation study. - Sandra Ranilla-Cortina; Jesús Vigo-Aguiar (J. Comput. Appl. Math., 2024)

Event-triggered control for exponential synchronization of reaction-diffusion fractional-order Clifford-valued delayed neural networks and its application to image encryption. - R. Sriraman; N. Manoj; Praveen Agarwal; Jesús Vigo-Aguiar; Shilpi Jain (Neurocomputing, 2025)

The evolution of high-performance computing: how AI and quantum computing are reshaping supercomputing. - Sandra Ranilla-Cortina; Pedro Alonso-Jordá; Jesús Vigo-Aguiar; José Ranilla (J. Supercomput., 2025)