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

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

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

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

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

Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.s. - Higinio Ramos; Cesáreo Lorenzo (Comput. Phys. Commun., 2010)

Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge-Kutta collocation methods. - Higinio Ramos; R. García-Rubio (Int. J. Comput. Math., 2011)

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

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

A virtual tool to improve the mathematical knowledge of engineering students. - Susana Nieto Isidro; Higinio Ramos (TEEM, 2013)

A global approach to improve the mathematical level of engineering students. - Susana Nieto Isidro; Higinio Ramos (TEEM, 2014)

Some new implicit two-step multiderivative methods for solving special second-order IVP's. - Higinio Ramos; Maria Fernanda Patrício (Appl. Math. Comput., 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)

Improving Mathematical Competencies of Students Accessing to Higher Education from Vocational Training Modules. - Susana Nieto Isidro; Higinio Ramos Calle (J. Cases Inf. Technol., 2014)

Solving first-order initial-value problems by using an explicit non-standard A-stable one-step method in variable step-size formulation. - Higinio Ramos; Gurjinder Singh; Vinay Kanwar; Saurabh Bhatia (Appl. Math. Comput., 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)

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 strategy to reduce the blank answers on math tests at first engineering courses. - Susana Nieto Isidro; Higinio Ramos (TEEM, 2016)

Dynamic visualization of the relative position of straight lines on the plane using Mathematica. - Higinio Ramos; Susana Nieto Isidro (TEEM, 2016)

An efficient variable step-size rational Falkner-type method for solving the special second-order IVP. - Higinio Ramos; Gurjinder Singh; Vinay Kanwar; Saurabh Bhatia (Appl. Math. Comput., 2016)

A new approach on the construction of trigonometrically fitted two step hybrid methods. - Zacharoula Kalogiratou; Theodoros Monovasilis; Higinio Ramos; T. E. Simos (J. Comput. Appl. Math., 2016)

An optimized two-step hybrid block method for solving general second order initial-value problems. - Higinio Ramos; Zacharoula Kalogiratou; Theodoros Monovasilis; T. E. Simos (Numer. Algorithms, 2016)

A tenth order A-stable two-step hybrid block method for solving initial value problems of ODEs. - Higinio Ramos; Gurjinder Singh (Appl. Math. Comput., 2017)

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

Use of a Symbolic Computation Program to Reinforce the Spatial Abilities of Engineering Students. - Susana Nieto Isidro; Higinio Ramos (Rev. Iberoam. de Tecnol. del Aprendiz., 2017)

A new approach based on the Newton's method to solve systems of nonlinear equations. - Higinio Ramos; M. Teresa T. Monteiro (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)

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)

An embedded 3(2) pair of nonlinear methods for solving first order initial-value ordinary differential systems. - Higinio Ramos; Gurjinder Singh; Vinay Kanwar; Saurabh Bhatia (Numer. Algorithms, 2017)

How many k-step linear block methods exist and which of them is the most efficient and simplest one? - Higinio Ramos; Paul Popescu (Appl. Math. Comput., 2018)

Third derivative modification of k-step block Falkner methods for the numerical solution of second order initial-value problems. - Higinio Ramos; Mufutau Ajani Rufai (Appl. Math. Comput., 2018)

General versus specific recipients for online training courses: Evaluating an experience on basic mathematics for engineers. - Susana Nieto Isidro; Higinio Ramos (TEEM, 2019)

A block hybrid integrator for numerically solving fourth-order Initial Value Problems. - Mark I. Modebei; Rapheal B. Adeniyi; Samuel N. Jator; Higinio Ramos (Appl. Math. Comput., 2019)

An efficient optimized adaptive step-size hybrid block method for integrating differential systems. - Gurjinder Singh; Arvind Garg; Vinay Kanwar; Higinio Ramos (Appl. Math. Comput., 2019)

Homotopy perturbation method for solving Caputo-type fractional-order Volterra-Fredholm integro-differential equations. - Pratibhamoy Das; Subrata Rana; Higinio Ramos (Comput. Math. Methods, 2019)

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

Solving initial and boundary value problems of fractional ordinary differential equations by using collocation and fractional powers. - M. F. Simões Patrício; Higinio Ramos; Miguel Patrício (J. Comput. Appl. Math., 2019)

Discrete approximation for a two-parameter singularly perturbed boundary value problem having discontinuity in convection coefficient and source term. - Prabha T.; Chandru M.; Vembu Shanthi; Higinio Ramos (J. Comput. Appl. Math., 2019)

A third-derivative two-step block Falkner-type method for solving general second-order boundary-value systems. - Higinio Ramos; Mufutau Ajani Rufai (Math. Comput. Simul., 2019)

On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term. - Omar Bazighifan; Higinio Ramos (Appl. Math. Lett., 2020)

Numerical solution of Bratu's and related problems using a third derivative hybrid block method. - Mufutau Ajani Rufai; Higinio Ramos (Comput. Appl. Math., 2020)

A perturbation-based approach for solving fractional-order Volterra-Fredholm integro differential equations and its convergence analysis. - Pratibhamoy Das; Subrata Rana; Higinio Ramos (Int. J. Comput. Math., 2020)

Block Hybrid Method for the Numerical solution of Fourth order Boundary Value Problems. - Mark I. Modebei; Samuel N. Jator; Higinio Ramos (J. Comput. Appl. Math., 2020)

Numerical solution of boundary value problems by using an optimized two-step block method. - Higinio Ramos; Mufutau Ajani Rufai (Numer. Algorithms, 2020)

Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions. - Sunil Kumar 002; Sumit; Higinio Ramos (Appl. Math. Comput., 2021)

Second-order Emden-Fowler neutral differential equations: A new precise criterion for oscillation. - Osama Moaaz; Higinio Ramos; Jan Awrejcewicz (Appl. Math. Lett., 2021)

Numerical Solution for Singular Boundary Value Problems Using a Pair of Hybrid Nyström Techniques. - Mufutau Ajani Rufai; Higinio Ramos (Axioms, 2021)

A second-derivative functionally fitted method of maximal order for oscillatory initial value problems. - Ridwanulahi I. Abdulganiy; Olusheye A. Akinfenwa; Higinio Ramos; Solomon A. Okunuga (Comput. Appl. Math., 2021)

Adaptive step-size approach for Simpson's-type block methods with time efficiency and order stars. - Higinio Ramos; Sania Qureshi; Amanullah Soomro (Comput. Appl. Math., 2021)

Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems. - Rajat Singla; Gurjinder Singh; Vinay Kanwar; Higinio Ramos (Comput. Appl. Math., 2021)

Some new discretizations of the Euler-Lagrange equation. - Marcela Popescu; Paul Popescu; Higinio Ramos (Commun. Nonlinear Sci. Numer. Simul., 2021)

A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction-diffusion equations with discontinuous source terms. - K. Aarthika; Vembu Shanthi; Higinio Ramos (Int. J. Comput. Math., 2021)

A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease. - Mohammad Mehdizadeh Khalsaraei; Ali Shokri 002; Higinio Ramos; Shahin Heydari (Math. Comput. Simul., 2021)

Development and Implementation of a Tenth-order Hybrid Block method for solving Fifth-order boundary Value Problems. - Higinio Ramos; Adelegan L. Momoh (Math. Model. Anal., 2021)

Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically. - Iftikhar Ahmad 010; Muhammad Asif Zahoor Raja; Higinio Ramos; Muhammad Bilal 003; Muhammad Shoaib 005 (Neural Comput. Appl., 2021)

A strategy to avoid ill-conditioned stars in the generalized finite difference method for solving one-dimensional problems. - Augusto C. Albuquerque-Ferreira; Miguel Ureña; Higinio Ramos (Comput. Math. Methods, 2021)

Numerical solution of third-order boundary value problems by using a two-step hybrid block method with a fourth derivative. - Mufutau Ajani Rufai; Higinio Ramos (Comput. Math. Methods, 2021)

A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients. - K. Aarthika; Vembu Shanthi; Higinio Ramos (Appl. Math. Comput., 2022)

Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator. - Higinio Ramos; Gurjinder Singh (Appl. Math. Comput., 2022)

Development of an Efficient Diagonally Implicit Runge-Kutta-Nyström 5(4) Pair for Special Second Order IVPs. - Musa Ahmed Demba; Norazak Senu; Higinio Ramos; Wiboonsak Watthayu (Axioms, 2022)

Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations. - Higinio Ramos; Anurag Kaur; Vinay Kanwar (Comput. Appl. Math., 2022)

Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques. - Mufutau Ajani Rufai; Higinio Ramos (Commun. Nonlinear Sci. Numer. Simul., 2022)

An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems. - Higinio Ramos; Mufutau Ajani Rufai (Int. J. Comput. Math., 2022)

A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications. - Mufutau Ajani Rufai; Higinio Ramos (Int. J. Comput. 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. - Pratibhamoy Das; Subrata Rana; Higinio Ramos (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)

A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems. - Higinio Ramos; Mufutau Ajani Rufai (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)

Time-efficient reformulation of the Lobatto III family of order eight. - Sania Qureshi; Higinio Ramos; Amanullah Soomro; Evren Hincal (J. Comput. Sci., 2022)

An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane-Emden-Fowler type. - Higinio Ramos; Mufutau Ajani Rufai (Math. Comput. Simul., 2022)

A uniformly convergent quadratic B-spline based scheme for singularly perturbed degenerate parabolic problems. - Satpal Singh; Devendra Kumar; Higinio Ramos (Math. Comput. Simul., 2022)

A Nonstandard Finite Difference Method for a Generalized Black-Scholes Equation. - Mohammad Mehdizadeh Khalsaraei; Mohammad Mehdi Rashidi; Ali Shokri 002; Higinio Ramos; Pari Khakzad (Symmetry, 2022)

Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods. - Mufutau Ajani Rufai; Higinio Ramos (J. Comput. Appl. Math., 2023)

A new three-step fixed point iteration scheme with strong convergence and applications. - Puneet Sharma; Higinio Ramos; Ramandeep Behl; Vinay Kanwar (J. Comput. Appl. Math., 2023)

An efficient optimized adaptive step-size hybrid block method for integrating w′′=f(t, w, w′) directly. - Rajat Singla; Gurjinder Singh; Higinio Ramos; Vinay Kanwar (J. Comput. Appl. Math., 2023)

An efficient technique based on Green's function for solving two-point boundary value problems and its convergence analysis. - Saurabh Tomar; Soniya Dhama; Higinio Ramos; Mehakpreet Singh (Math. Comput. Simul., 2023)

Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier. - Saurabh Tomar; Mehakpreet Singh; Kuppalapalle Vajravelu; Higinio Ramos (Math. Comput. Simul., 2023)

Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions. - Sunil Kumar 002; Aakansha; Joginder Singh; Higinio Ramos (J. Appl. Math. Comput., 2023)

A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers. - Ram Shiromani; Vembu Shanthi; Higinio Ramos (Math. Comput. Simul., 2023)

A Pair of Optimized Nyström Methods with Symmetric Hybrid Points for the Numerical Solution of Second-Order Singular Boundary Value Problems. - Higinio Ramos; Mufutau Ajani Rufai; Bruno Carpentieri (Symmetry, 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. - Rajat Singla; Gurjinder Singh; Higinio Ramos; Vinay Kanwar (Symmetry, 2023)

A functionally-fitted block hybrid Falkner method for Kepler equations and related problems. - Ridwanulahi I. Abdulganiy; Higinio Ramos; J. A. Osilagun; Solomon A. Okunuga; Sania Qureshi (Comput. Appl. Math., 2023)

Numerical solution of time dependent nonlinear partial differential equations using a novel block method coupled with compact finite difference schemes. - Akansha Mehta; Gurjinder Singh; Higinio Ramos (Comput. Appl. Math., 2023)

Investigation of the Oscillatory Behavior of the Solutions of a Class of Third-Order Delay Differential Equations with Several Terms. - Asma Al-Jaser; Insaf F. Ben Saoud; Higinio Ramos; Belgees Qaraad (Axioms, 2024)

An optimized hybrid block method for solving nonlinear singularly perturbed problems using non-uniform Jain-type meshes. - Morteza Bisheh-Niasar; Saeedeh Khaziravi; Higinio Ramos (Int. J. Comput. Math., 2024)

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)

A robust iterative family for multiple roots of nonlinear equations: Enhancing accuracy and handling critical points. - Himani Sharma; Ramandeep Behl; Munish Kansal; Higinio Ramos (J. Comput. Appl. Math., 2024)

Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques. - Sania Qureshi; Higinio Ramos; Amanullah Soomro; Olusheye A. Akinfenwa; Moses Adebowale Akanbi (Math. Comput. Simul., 2024)

An efficient fifth-order block method for solving third-order BVPs. - Mufutau Ajani Rufai; Bruno Carpentieri; Higinio Ramos (Math. Comput. Simul., 2024)

Higher-order convergence analysis for interior and boundary layers in a semi-linear reaction-diffusion system networked by a $ k $-star graph with non-smooth source terms. - Dilip Sarkar; Shridhar Kumar; Pratibhamoy Das; Higinio Ramos (Networks Heterog. Media, 2024)

New Conditions for Testing the Oscillation of Solutions of Second-Order Nonlinear Differential Equations with Damped Term. - Asma Al-Jaser; Belgees Qaraad; Higinio Ramos; Stefano Serra-Capizzano (Axioms, 2024)

A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations. - Anurag Kaur; Vinay Kanwar; Higinio Ramos (Comput. Appl. Math., 2024)

Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems. - Nikhil Sriwastav; Amit K. Barnwal; Higinio Ramos; Ravi P. Agarwal; Mehakpreet Singh (Math. Comput. Simul., 2024)

Numerical scheme for singularly perturbed Fredholm integro-differential equations with non-local boundary conditions. - Lolugu Govindarao; Higinio Ramos; Sekar Elango (Comput. Appl. Math., 2024)

Compact finite difference schemes with high resolution characteristics and their applications to solve Burgers equation. - Higinio Ramos; Akansha Mehta; Gurjinder Singh (Comput. Appl. Math., 2024)

A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers. - Aakansha; Sunil Kumar 002; Higinio Ramos (J. Appl. Math. Comput., 2024)

A numerical technique for solving singularly perturbed two-point boundary value problems. - Pramod Chakravarthy Podila; Rahul Mishra; Higinio Ramos (Comput. Appl. Math., 2024)

A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection-diffusion problems. - Shashikant Kumar; Sunil Kumar 002; Higinio Ramos; Kuldeep (J. Appl. Math. Comput., 2024)

On the oscillation of second-order functional differential equations with a delayed damping term. - Osama Moaaz; Higinio Ramos (Appl. Math. Lett., 2025)

Highly efficient optimal decomposition approach and its mathematical analysis for solving fourth-order Lane-Emden-Fowler equations. - Randhir Singh; Vandana Guleria; Higinio Ramos; Mehakpreet Singh (J. Comput. Appl. Math., 2025)

Numerical Analysis for a weakly coupled system of Singularly Perturbed Quasilinear Problem with non-smooth data. - Ruby; Vembu Shanthi; Higinio Ramos (J. Comput. Sci., 2025)

Fixed point approximation of contractive-like mappings using a stable iterative family and its dynamics via quadratic polynomials. - Munish Kansal; Higinio Ramos; Litika Rani (Math. Model. Anal., 2025)

An innovative fourth-order numerical scheme with error analysis for Lane-Emden-Fowler type systems. - Nirupam Sahoo; Randhir Singh; Higinio Ramos (Numer. Algorithms, 2025)

Efficient iterative procedures for approximating fixed points of contractive-type mappings with applications. - Puneet Sharma; Higinio Ramos; Vinay Kanwar; Ramandeep Behl; Mithil Rajput (Numer. Algorithms, 2025)

Efficient uniformly convergent numerical methods for singularly perturbed parabolic reaction-diffusion systems with discontinuous source term. - Aishwarya Jaiswal; Sunil Kumar 002; Higinio Ramos (J. Appl. Math. Comput., 2025)

Efficient solution of one-dimensional time-dependent partial differential equations using a multi-step block method combined with compact finite difference schemes. - Akansha Mehta; Gurjinder Singh; Higinio Ramos (Comput. Appl. Math., 2025)

Effective iterative methods for solving nonlinear initial value problems with some relevant physical applications. - Saurabh Tomar; Higinio Ramos (Comput. Appl. Math., 2025)