# Jesús Vigo-Aguiar

According to our database

Collaborative distances:

^{1}, Jesús Vigo-Aguiar authored at least 54 papers between 2000 and 2020.Collaborative distances:

## Timeline

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Book In proceedings Article PhD thesis Other## Links

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## Bibliography

2020

CMMSE: Computational and Mathematical Methods in Science and Engineering.

Int. J. Comput. Math., 2020

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

Int. J. Comput. Math., 2020

2019

Computational and mathematical models meet heterogeneous computing.

J. Supercomput., 2019

Special issue: Selected papers of CMMSE.

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.

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.

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.

J. Comput. Appl. Math., 2019

2018

Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points.

Appl. Math. Comput., 2018

2017

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

J. Supercomput., 2017

A first approach in solving initial-value problems in ODEs by elliptic fitting methods.

J. Comput. Appl. Math., 2017

Current computational tools for science engineering and economics at CMMSE.

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.

J. Comput. Appl. Math., 2017

2015

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

J. Comput. Appl. Math., 2015

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

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.

J. Comput. Appl. Math., 2015

2014

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

J. Supercomput., 2014

Preface.

J. Math. Model. Algorithms in OR, 2014

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

Comput. Phys. Commun., 2014

2013

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

J. Supercomput., 2013

High performance computing tools in science and engineering.

J. Supercomput., 2013

New Optimization Techniques in Engineering.

J. Math. Model. Algorithms in OR, 2013

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

J. Comput. Appl. Math., 2013

Editorial.

Int. J. Comput. Math., 2013

2012

Topics of contemporary computational mathematics.

Int. J. Comput. Math., 2012

Computational and mathematical methods in science and engineering.

Int. J. Comput. Math., 2012

2011

High performance computing tools in science and engineering.

J. Supercomput., 2011

High performance computing tools in science and engineering II.

J. Supercomput., 2011

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

J. Comput. Appl. Math., 2011

Advances in Computational and Mathematical Methods in Science and Engineering.

J. Comput. Appl. Math., 2011

Applications of computational mathematics in science and engineering.

Int. J. Comput. Math., 2011

2010

On the frequency choice in trigonometrically fitted methods.

Appl. Math. Lett., 2010

2009

Accurate Numerical Integration of Perturbed Oscillatory Systems in Two Frequencies.

ACM Trans. Math. Softw., 2009

Preface.

Int. J. Comput. Math., 2009

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

Adv. Eng. Softw., 2009

2008

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

Numer. Algorithms, 2008

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

Int. J. Comput. Math., 2008

Explicit finite difference schemes adapted to advection-reaction equations.

Int. J. Comput. Math., 2008

Exponential fitting BDF-Runge-Kutta algorithms.

Comput. Phys. Commun., 2008

2007

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

J. Sci. Comput., 2007

Exponential fitting BDF algorithms and their properties.

Appl. Math. Comput., 2007

Numeric multistep variable methods for perturbed linear system integration.

Appl. Math. Comput., 2007

2005

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

Math. Comput. Model., 2005

Preface.

Math. Comput. Model., 2005

Variable stepsize störmer-cowell methods.

Math. Comput. Model., 2005

New algorithms and trends in modelling.

J. Math. Model. Algorithms, 2005

Stochastic methods for Dirichlet problems.

J. Math. Model. Algorithms, 2005

2004

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

J. Supercomput., 2004

2002

Weak Second Order Conditions for Stochastic Runge-Kutta Methods.

SIAM J. Scientific Computing, 2002

2001

A Parallel ODE Solver Adapted to Oscillatory Problems.

J. Supercomput., 2001

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

Numer. Algorithms, 2001

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

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.

Comput. Chem., 2001

Backward differentiation formulae adapted to scalar linear equations.

Appl. Math. Lett., 2001

2000

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

Proceedings of the Vector and Parallel Processing, 2000