All Stories

  1. Special issue "Numerical Analysis of Differential Equations with Real-world Applications"

    Article • AIMS Mathematics, January 2026, Tsinghua University Press

    Higinio Ramos

  2. New criteria for the oscillation of a class of third-order quasilinear delay differential equations

    Article • AIMS Mathematics, January 2025, Tsinghua University Press

    Higinio Ramos

  3. A numerical approach to approximate the solution of a quasilinear singularly perturbed parabolic convection diffusion problem having a non-smooth source term

    Article • AIMS Mathematics, January 2025, Tsinghua University Press

    Higinio Ramos

  4. Physics-informed neural networks framework for solving the highly nonlinear Bratu equation arising in combustion theory

    Article • AIMS Mathematics, January 2025, Tsinghua University Press

    Higinio Ramos

  5. 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

    Article • Networks & Heterogeneous Media, January 2024, Tsinghua University Press

    Higinio Ramos

  6. Solving second-order IVPs using an adaptive optimized Runge-Kutta-Nyström method

    Article • January 2023, American Institute of Physics

    Higinio Ramos

  7. General versus specific recipients for online training courses

    Article • October 2019, ACM (Association for Computing Machinery)

    Higinio Ramos

  8. A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis

    Article • International Journal of Computer Mathematics, October 2019, Taylor & Francis

    Pratibhamoy Das, Higinio Ramos

  9. Discrete approximation for a two-parameter singularly perturbed boundary value problem having discontinuity in convection coefficient and source term

    Article • Journal of Computational and Applied Mathematics, October 2019, Elsevier

    Higinio Ramos

  10. Solving initial and boundary value problems of fractional ordinary differential equations by using collocation and fractional powers

    Article • Journal of Computational and Applied Mathematics, July 2019, Elsevier

    Higinio Ramos

  11. Numerical solution of boundary value problems by using an optimized two-step block method

    Article • Numerical Algorithms, June 2019, Springer Science + Business Media

    Higinio Ramos

  12. Homotopy Perturbation Method for Solving Caputo Type Fractional Order Volterra‐Fredholm Integro‐Differential Equations

    Article • Computational and Mathematical Methods, May 2019, Wiley

    Higinio Ramos

  13. A block hybrid integrator for numerically solving fourth-order Initial Value Problems

    Article • Applied Mathematics and Computation, April 2019, Elsevier

    Higinio Ramos

  14. Development of a new Runge‐Kutta method and its economical implementation

    Article • Computational and Mathematical Methods, March 2019, Wiley

    Higinio Ramos

  15. Explicit Nonlinear Method for Initial Value Problems

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, December 2018, De Gruyter

    Higinio Ramos

  16. Extrapolating for attaining high precision solutions for fractional partial differential equations

    Article • Fractional Calculus and Applied Analysis, December 2018, De Gruyter

    Higinio Ramos, Miguel Patrício

  17. Third derivative modification of k-step block Falkner methods for the numerical solution of second order initial-value problems

    Article • Applied Mathematics and Computation, September 2018, Elsevier

    Higinio Ramos

  18. Numerical treatment of two-parameter singularly perturbed parabolic convection diffusion problems with non-smooth data

    Article • Mathematical Methods in the Applied Sciences, June 2018, Wiley

    Higinio Ramos

  19. How many k -step linear block methods exist and which of them is the most efficient and simplest one?

    Article • Applied Mathematics and Computation, January 2018, Elsevier

    Higinio Ramos

  20. A tenth orderA-stable two-step hybrid block method for solving initial value problems of ODEs

    Article • Applied Mathematics and Computation, October 2017, Elsevier

    Higinio Ramos

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

    Article • Journal of Computational and Applied Mathematics, July 2017, Elsevier

    Higinio Ramos

  22. A new approach based on the Newton’s method to solve systems of nonlinear equations

    Article • Journal of Computational and Applied Mathematics, July 2017, Elsevier

    Higinio Ramos

  23. A unified approach for the development of

    Article • Journal of Computational and Applied Mathematics, July 2017, Elsevier

    Higinio Ramos

  24. Recent mathematical–computational techniques and models in chemistry

    Article • Journal of Mathematical Chemistry, May 2017, Springer Science + Business Media

    Higinio Ramos

  25. Modified two-step hybrid methods for the numerical integration of oscillatory problems

    Article • Mathematical Methods in the Applied Sciences, March 2017, Wiley

    Higinio Ramos

  26. A note on variable step-size formulation of a Simpson’s-type second derivative block method for solving stiff systems

    Article • Applied Mathematics Letters, February 2017, Elsevier

    Higinio Ramos

  27. Use of a Symbolic Computation Program to Reinforce the Spatial Abilities of Engineering Students

    Article • IEEE Revista Iberoamericana de Tecnologias del Aprendizaje, February 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Higinio Ramos

  28. An efficient variable step-size rational Falkner-type method for solving the special second-order IVP

    Article • Applied Mathematics and Computation, December 2016, Elsevier

    Higinio Ramos

  29. A strategy to reduce the blank answers on math tests at first engineering courses

    Article • November 2016, ACM (Association for Computing Machinery)

    Higinio Ramos

  30. Dynamic visualization of the relative position of straight lines on the plane using Mathematica

    Article • November 2016, ACM (Association for Computing Machinery)

    Higinio Ramos

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

    Article • Numerical Algorithms, October 2016, Springer Science + Business Media

    Higinio Ramos

  32. A new approach on the construction of trigonometrically fitted two step hybrid methods

    Article • Journal of Computational and Applied Mathematics, September 2016, Elsevier

    Higinio Ramos

  33. Constructing extended Boolean functions from truth tables using the Mathematica system

    Article • September 2016, Institute of Electrical & Electronics Engineers (IEEE)

    Higinio Ramos

  34. An optimized two-step hybrid block method for solving general second order initial-value problems

    Article • Numerical Algorithms, December 2015, Springer Science + Business Media

    Higinio Ramos

  35. Solving first-order initial-value problems by using an explicit non-standard A -stable one-step method in variable step-size formulation

    Article • Applied Mathematics and Computation, October 2015, Elsevier

    Higinio Ramos

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

    Article • Journal of Computational and Applied Mathematics, March 2015, Elsevier

    Higinio Ramos

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

    Article • Journal of Computational and Applied Mathematics, February 2015, Elsevier

    Higinio Ramos

  38. The application of Newton’s method in vector form for solving nonlinear scalar equations where the classical Newton method fails

    Article • Journal of Computational and Applied Mathematics, February 2015, Elsevier

    Higinio Ramos

  39. Mathematical and computational tools in chemistry: CMMSE—2014

    Article • Journal of Mathematical Chemistry, January 2015, Springer Science + Business Media

    Higinio Ramos

  40. A new approach on the construction of trigonometrically fitted two step hybrid methods

    Article • January 2015, American Institute of Physics

    Higinio Ramos

  41. A trigonometrically fitted optimized two-step hybrid block method for solving initial-value problems of the form y″ = f (x, y, y′) with oscillatory solutions

    Article • January 2015, American Institute of Physics

    Higinio Ramos

  42. An optimized two-step hybrid block method for solving general second order initial-value problems of the form y″ = f (x, y, y′)

    Article • January 2015, American Institute of Physics

    Higinio Ramos

  43. Some efficient one-point variants of Halley’s method, with memory, for solving nonlinear equations

    Article • January 2015, American Institute of Physics

    Higinio Ramos

  44. Trigonometrically fitted two step hybrid methods for the numerical solution of the Schrödinger equation

    Article • January 2015, American Institute of Physics

    Higinio Ramos

  45. Improving Mathematical Competencies of Students Accessing to Higher Education from Vocational Training Modules

    Article • Journal of Cases on Information Technology, July 2014, IGI Global

    Higinio Ramos

  46. Some new implicit two-step multiderivative methods for solving special second-order IVP’s

    Article • Applied Mathematics and Computation, July 2014, Elsevier

    Higinio Ramos

  47. Materials for a course in Calculus on several variables: An example of inter-university collaboration

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Higinio Ramos

  48. Visualization of functions of two variables using Mathematica: (Exploring the pedagogical possibilities of the system beyond what is evident)

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Higinio Ramos

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

    Article • Computer Physics Communications, April 2014, Elsevier

    Higinio Ramos

  50. A global approach to improve the mathematical level of engineering students

    Article • January 2014, ACM (Association for Computing Machinery)

    Higinio Ramos

  51. A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error

    Article • Journal of Mathematical Chemistry, November 2013, Springer Science + Business Media

    Higinio Ramos

  52. A virtual tool to improve the mathematical knowledge of engineering students

    Article • January 2013, ACM (Association for Computing Machinery)

    Higinio Ramos

  53. Topics of contemporary computational mathematics

    Article • International Journal of Computer Mathematics, February 2012, Taylor & Francis

    Higinio Ramos

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

    Article • Journal of Computational and Applied Mathematics, February 2011, Elsevier

    Higinio Ramos

  55. Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge–Kutta collocation methods

    Article • International Journal of Computer Mathematics, February 2011, Taylor & Francis

    Higinio Ramos

  56. On the frequency choice in trigonometrically fitted methods

    Article • Applied Mathematics Letters, November 2010, Elsevier

    Higinio Ramos

  57. Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.s

    Article • Computer Physics Communications, November 2010, Elsevier

    Higinio Ramos

  58. Contributions to the development of differential systems exactly solved by multistep finite-difference schemes

    Article • Applied Mathematics and Computation, September 2010, Elsevier

    Higinio Ramos

  59. Numerical solution of nonlinear singularly perturbed problems by using a non-standard algorithm on variable stepsize implementation (CMMSE–2009)

    Article • Journal of Mathematical Chemistry, December 2009, Springer Science + Business Media

    Higinio Ramos

  60. Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm

    Article • Journal of Mathematical Chemistry, November 2009, Springer Science + Business Media

    Dr Natesan Srinivasan, Higinio Ramos

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

    Article • International Journal of Computer Mathematics, April 2008, Taylor & Francis

    Higinio Ramos

  62. Exponential fitting BDF–Runge–Kutta algorithms

    Article • Computer Physics Communications, January 2008, Elsevier

    Higinio Ramos

  63. A fourth-order Runge–Kutta method based on BDF-type Chebyshev approximations

    Article • Journal of Computational and Applied Mathematics, July 2007, Elsevier

    Higinio Ramos

  64. Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.'s

    Article • Journal of Computational and Applied Mathematics, July 2007, Elsevier

    Higinio Ramos

  65. A non-standard explicit integration scheme for initial-value problems

    Article • Applied Mathematics and Computation, June 2007, Elsevier

    Higinio Ramos

  66. A family of A-stable Runge Kutta collocation methods of higher order for initial-value problems

    Article • IMA Journal of Numerical Analysis, April 2007, Oxford University Press (OUP)

    Higinio Ramos

  67. A Nonlinear Explicit One-Step Integration Scheme for Singular Autonomous Initial Value Problems

    Article • January 2007, American Institute of Physics

    Higinio Ramos

  68. An almost L-stable BDF-type method for the numerical solution of stiff ODEs arising from the method of lines

    Article • Numerical Methods for Partial Differential Equations, January 2007, Wiley

    Higinio Ramos

  69. Variable stepsize implementation of multistep methods for

    Article • Journal of Computational and Applied Mathematics, July 2006, Elsevier

    Higinio Ramos

  70. A New Eighth-order A-stable Method for Solving Differential Systems Arising in Chemical Reactions

    Article • Journal of Mathematical Chemistry, June 2006, Springer Science + Business Media

    Higinio Ramos

  71. Variable stepsize störmer-cowell methods

    Article • Mathematical and Computer Modelling, October 2005, Elsevier

    Higinio Ramos

  72. A variable-step Numerov method for the numerical solution of the Schr�dinger equation

    Article • Journal of Mathematical Chemistry, April 2005, Springer Science + Business Media

    Higinio Ramos

  73. A note on step-size selection in the Störmer–Cowell methods

    Article • Journal of Computational and Applied Mathematics, March 2005, Elsevier

    Higinio Ramos

  74. Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations

    Article • Journal of Computational and Applied Mathematics, September 2003, Elsevier

    Higinio Ramos