Higinio Ramos

Orcid: 0000-0003-2791-6230

According to our database1, Higinio Ramos authored at least 97 papers between 2005 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2025
Highly efficient optimal decomposition approach and its mathematical analysis for solving fourth-order Lane-Emden-Fowler equations.
J. Comput. Appl. Math., 2025

2024
A numerical technique for solving singularly perturbed two-point boundary value problems.
Comput. Appl. Math., September, 2024

A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
J. Appl. Math. Comput., April, 2024

Compact finite difference schemes with high resolution characteristics and their applications to solve Burgers equation.
Comput. Appl. Math., April, 2024

Numerical scheme for singularly perturbed Fredholm integro-differential equations with non-local boundary conditions.
Comput. Appl. Math., April, 2024

Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems.
Math. Comput. Simul., February, 2024

A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations.
Comput. Appl. Math., February, 2024

New Conditions for Testing the Oscillation of Solutions of Second-Order Nonlinear Differential Equations with Damped Term.
Axioms, February, 2024

An efficient fifth-order block method for solving third-order BVPs.
Math. Comput. Simul., 2024

Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques.
Math. Comput. Simul., 2024

A robust iterative family for multiple roots of nonlinear equations: Enhancing accuracy and handling critical points.
J. Comput. Appl. Math., 2024

Wavelet-based approximation for two-dimensional singularly perturbed elliptic problems.
J. Comput. Appl. Math., 2024

Investigation of the Oscillatory Behavior of the Solutions of a Class of Third-Order Delay Differential Equations with Several Terms.
Axioms, 2024

2023
A functionally-fitted block hybrid Falkner method for Kepler equations and related problems.
Comput. Appl. Math., December, 2023

Development of a Higher-Order 𝒜-Stable Block Approach with Symmetric Hybrid Points and an Adaptive Step-Size Strategy for Integrating Differential Systems Efficiently.
Symmetry, September, 2023

A Pair of Optimized Nyström Methods with Symmetric Hybrid Points for the Numerical Solution of Second-Order Singular Boundary Value Problems.
Symmetry, September, 2023

A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers.
Math. Comput. Simul., April, 2023

Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions.
J. Appl. Math. Comput., April, 2023

Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier.
Math. Comput. Simul., 2023

An efficient technique based on Green's function for solving two-point boundary value problems and its convergence analysis.
Math. Comput. Simul., 2023

An efficient optimized adaptive step-size hybrid block method for integrating w′′=f(t, w, w′) directly.
J. Comput. Appl. Math., 2023

A new three-step fixed point iteration scheme with strong convergence and applications.
J. Comput. Appl. Math., 2023

Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods.
J. Comput. Appl. Math., 2023

2022
A Nonstandard Finite Difference Method for a Generalized Black-Scholes Equation.
Symmetry, 2022

A uniformly convergent quadratic B-spline based scheme for singularly perturbed degenerate parabolic problems.
Math. Comput. Simul., 2022

An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane-Emden-Fowler type.
Math. Comput. Simul., 2022

Time-efficient reformulation of the Lobatto III family of order eight.
J. Comput. Sci., 2022

Computational and Mathematical Methods in Science and Engineering.
J. Comput. Appl. Math., 2022

A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems.
J. Comput. Appl. Math., 2022

A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters.
J. Comput. Appl. Math., 2022

On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis.
J. Comput. Appl. Math., 2022

A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications.
Int. J. Comput. Math., 2022

An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems.
Int. J. Comput. Math., 2022

Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques.
Commun. Nonlinear Sci. Numer. Simul., 2022

Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations.
Comput. Appl. Math., 2022

Development of an Efficient Diagonally Implicit Runge-Kutta-Nyström 5(4) Pair for Special Second Order IVPs.
Axioms, 2022

Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator.
Appl. Math. Comput., 2022

A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients.
Appl. Math. Comput., 2022

2021
Numerical solution of third-order boundary value problems by using a two-step hybrid block method with a fourth derivative.
Comput. Math. Methods, November, 2021

A strategy to avoid ill-conditioned stars in the generalized finite difference method for solving one-dimensional problems.
Comput. Math. Methods, November, 2021

Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically.
Neural Comput. Appl., 2021

Development and Implementation of a Tenth-order Hybrid Block method for solving Fifth-order boundary Value Problems.
Math. Model. Anal., 2021

A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease.
Math. Comput. Simul., 2021

A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction-diffusion equations with discontinuous source terms.
Int. J. Comput. Math., 2021

Some new discretizations of the Euler-Lagrange equation.
Commun. Nonlinear Sci. Numer. Simul., 2021

Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems.
Comput. Appl. Math., 2021

Adaptive step-size approach for Simpson's-type block methods with time efficiency and order stars.
Comput. Appl. Math., 2021

A second-derivative functionally fitted method of maximal order for oscillatory initial value problems.
Comput. Appl. Math., 2021

Numerical Solution for Singular Boundary Value Problems Using a Pair of Hybrid Nyström Techniques.
Axioms, 2021

Second-order Emden-Fowler neutral differential equations: A new precise criterion for oscillation.
Appl. Math. Lett., 2021

Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions.
Appl. Math. Comput., 2021

2020
Numerical solution of boundary value problems by using an optimized two-step block method.
Numer. Algorithms, 2020

Block Hybrid Method for the Numerical solution of Fourth order Boundary Value Problems.
J. Comput. Appl. Math., 2020

A perturbation-based approach for solving fractional-order Volterra-Fredholm integro differential equations and its convergence analysis.
Int. J. Comput. Math., 2020

Numerical solution of Bratu's and related problems using a third derivative hybrid block method.
Comput. Appl. Math., 2020

On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term.
Appl. Math. Lett., 2020

2019
A third-derivative two-step block Falkner-type method for solving general second-order boundary-value systems.
Math. Comput. Simul., 2019

Discrete approximation for a two-parameter singularly perturbed boundary value problem having discontinuity in convection coefficient and source term.
J. Comput. Appl. Math., 2019

Solving initial and boundary value problems of fractional ordinary differential equations by using collocation and fractional powers.
J. Comput. Appl. Math., 2019

Development of a new Runge-Kutta method and its economical implementation.
Comput. Math. Methods, 2019

Homotopy perturbation method for solving Caputo-type fractional-order Volterra-Fredholm integro-differential equations.
Comput. Math. Methods, 2019

An efficient optimized adaptive step-size hybrid block method for integrating differential systems.
Appl. Math. Comput., 2019

A block hybrid integrator for numerically solving fourth-order Initial Value Problems.
Appl. Math. Comput., 2019

General versus specific recipients for online training courses: Evaluating an experience on basic mathematics for engineers.
Proceedings of the Seventh International Conference on Technological Ecosystems for Enhancing Multiculturality, 2019

2018
Third derivative modification of <i>k</i>-step block Falkner methods for the numerical solution of second order initial-value problems.
Appl. Math. Comput., 2018

How many k-step linear block methods exist and which of them is the most efficient and simplest one?
Appl. Math. Comput., 2018

2017
An embedded 3(2) pair of nonlinear methods for solving first order initial-value ordinary differential systems.
Numer. Algorithms, 2017

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

A new approach based on the Newton's method to solve systems of nonlinear equations.
J. Comput. Appl. Math., 2017

Use of a Symbolic Computation Program to Reinforce the Spatial Abilities of Engineering Students.
Rev. Iberoam. de Tecnol. del Aprendiz., 2017

A note on variable step-size formulation of a Simpson's-type second derivative block method for solving stiff systems.
Appl. Math. Lett., 2017

A tenth order A-stable two-step hybrid block method for solving initial value problems of ODEs.
Appl. Math. Comput., 2017

2016
An optimized two-step hybrid block method for solving general second order initial-value problems.
Numer. Algorithms, 2016

A new approach on the construction of trigonometrically fitted two step hybrid methods.
J. Comput. Appl. Math., 2016

An efficient variable step-size rational Falkner-type method for solving the special second-order IVP.
Appl. Math. Comput., 2016

Dynamic visualization of the relative position of straight lines on the plane using <i>Mathematica</i>.
Proceedings of the Fourth International Conference on Technological Ecosystems for Enhancing Multiculturality, Salamanca, Spain, November 02, 2016

A strategy to reduce the blank answers on math tests at first engineering courses.
Proceedings of the Fourth International Conference on Technological Ecosystems for Enhancing Multiculturality, Salamanca, Spain, November 02, 2016

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

Solving first-order initial-value problems by using an explicit non-standard A-stable one-step method in variable step-size formulation.
Appl. Math. Comput., 2015

2014
Improving Mathematical Competencies of Students Accessing to Higher Education from Vocational Training Modules.
J. Cases Inf. Technol., 2014

A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative.
Comput. Phys. Commun., 2014

Some new implicit two-step multiderivative methods for solving special second-order IVP's.
Appl. Math. Comput., 2014

A global approach to improve the mathematical level of engineering students.
Proceedings of the Second International Conference on Technological Ecosystems for Enhancing Multiculturality, 2014

2013
A virtual tool to improve the mathematical knowledge of engineering students.
Proceedings of the Technological Ecosystems for Enhancing Multiculturality Conference, 2013

2012
Topics of contemporary computational mathematics.
Int. J. Comput. Math., 2012

2011
A numerical ODE solver that preserves the fixed points and their stability.
J. Comput. Appl. Math., 2011

Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge-Kutta collocation methods.
Int. J. Comput. Math., 2011

2010
Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.s.
Comput. Phys. Commun., 2010

On the frequency choice in trigonometrically fitted methods.
Appl. Math. Lett., 2010

Contributions to the development of differential systems exactly solved by multistep finite-difference schemes.
Appl. Math. Comput., 2010

2008
A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems.
Int. J. Comput. Math., 2008

Exponential fitting BDF-Runge-Kutta algorithms.
Comput. Phys. Commun., 2008

2007
A non-standard explicit integration scheme for initial-value problems.
Appl. Math. Comput., 2007

2005
Variable stepsize störmer-cowell methods.
Math. Comput. Model., 2005


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