Higinio Ramos

Best Publications

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

  Higinio Ramos;Z. Kalogiratou;Th. Monovasilis;T. E. Simos

  177
  Citations

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

  Pratibhamoy Das;Subrata Rana;Higinio Ramos

  131
  Citations

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

  Z. Kalogiratou;Th. Monovasilis;Higinio Ramos;T.E. Simos

  130
  Citations

• Variable stepsize implementation of multistep methods for y' ' = f ( x, y, y' )

  Jesús Vigo-Aguiar;Higinio Ramos

  125
  Citations

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

  M. Chandru;P. Das;H. Ramos

  120
  Citations

• Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically

  Iftikhar Ahmad;Muhammad Asif Zahoor Raja;Muhammad Asif Zahoor Raja;Higinio Ramos;Muhammad Bilal

  116
  Citations

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

  Jesús Vigo-Aguiar;Higinio Ramos

  115
  Citations

• 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

  113
  Citations

• On the frequency choice in trigonometrically fitted methods

  Higinio Ramos;Jesús Vigo-Aguiar

  102
  Citations

• Homotopy perturbation method for solving Caputo-type fractional-order Volterra-Fredholm integro-differential equations

  Pratibhamoy Das;Subrata Rana;Higinio Ramos

  92
  Citations

• Exponential fitting BDF–Runge–Kutta algorithms

  Jesús Vigo-Aguiar;J. Martín-Vaquero;Higinio Ramos

  90
  Citations

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

  T. Monovasilis;Z. Kalogiratou;Higinio Ramos;T. E. Simos;T. E. Simos

  86
  Citations

• A non-standard explicit integration scheme for initial-value problems

  Higinio Ramos

  81
  Citations

• A graded mesh refinement approach for boundary layer originated singularly perturbed time-delayed parabolic convection diffusion problems

  Kamalesh Kumar;Pramod Chakravarthy Podila;Pratibhamoy Das;Higinio Ramos

  78
  Citations

• A family of A-stable Runge–Kutta collocation methods of higher order for initial-value problems

  Jesús Vigo-Aguiar;Higinio Ramos

  66
  Citations

• A new approach based on the Newton's method to solve systems of nonlinear equations

  Higinio Ramos;M.T.T. Monteiro

  60
  Citations

• 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

  Unknown

  56
  Citations

• Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier

  Unknown

  55
  Citations

• 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;J. Vigo-Aguiar

  43
  Citations

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

  Jesús Vigo-Aguiar;Higinio Ramos

  41
  Citations