Edit Profile (opens in new tab) Ramos, Higinio Co-Author Distance Author ID: ramos.higinio Published as: Ramos, Higinio; Ramos, H.; Calle, H. R. more...less Further Spellings: Ramos Calle, Higinio External Links: ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 114 Publications since 2003 4 Contributions as Editor Reviewing Activity: 1 Review Co-Authors: 79 Co-Authors with 110 Joint Publications 1,791 Co-Co-Authors all top 5 Co-Authors 6 single-authored 30 Vigo-Aguiar, Jesus 13 Rufai, Mufutau Ajani 12 Singh, Gurjinder 10 Kanwar, Vinay 7 Shanthi, Vembu 4 Abdulganiy, Ridwanulahi Iyanda 4 Das, Pratibhamoy 4 Okunuga, Solomon A. 3 Aarthika, K. 3 Bhatia, Saurabh 3 Demba, Musa Ahmed 3 Garcia-Rubio, Raquel 3 Kalogiratou, Zacharoula 3 Kaur, Anurag 3 Kumar, Sunil 3 Moaaz, Osama 3 Podila, Pramod Chakravarthy 3 Qureshi, Sania 3 Simos, Theodore E. 3 Watthayu, Wiboonsak 2 Ahmed, Idris 2 Akinfenwa, Olusheye Aremu Akin 2 Albuquerque-Ferreira, Augusto César 2 Bazighifan, Omar 2 Chandru, M. 2 Jator, Samuel N. 2 Khalsaraei, Mohammad Mehdizadeh 2 Kumam, Poom 2 Kumar, Kamalesh 2 Modebei, Mark I. 2 Patricio, Miguel Ángel 2 Rana, Subrata 2 Senu, Norazak 2 Shiromani, Ram 2 Singh, Joginder 2 Singh, Mehakpreet 2 Singla, Rajat 2 Tomar, Saurabh 2 Ureña, Miguel 1 Aakansha 1 Adeniyi, Rapheal B. 1 Aliev, Fikret Akhmedalioglu 1 Alonso, Pedro 1 Awrejcewicz, Jan 1 Behl, Ramandeep 1 Bohner, Martin J. 1 Chakravarthy, P. Pramod 1 Clavero, Carmelo 1 Cordero, Alicia 1 Dhama, Soniya 1 Elabbasy, Elmetwally M. 1 Garg, Arvind 1 Heydari, Shahin 1 Kumar, Devendra 1 Lorenzo, Cesáreo 1 Martín-Vaquero, Jesús 1 Mazzia, Francesca 1 Mehta, Akansha 1 Mehta, Shubham 1 Momoh, Adelegan L. 1 Monteiro, M. Teresa T. 1 Muhib, Ali 1 Natesan, Srinivasan 1 Osilagun, Johnson Adekunle 1 Patrício, Fernanda Simões 1 Patrício, Maria Fernanda 1 Popescu, Paul P. 1 Prabha, T. 1 Priyadarshana, S. 1 Queiruga, M. A. 1 Rathore, Ajay Singh 1 Reboredo, Juan C. 1 Shivhare, Meenakshi 1 Simões Patrício, M. F. 1 Singh, Satpal 1 Soomro, Amanullah 1 Sumit, S. 1 Sundrani, Vishwas 1 Torregrosa Sanchez, Juan Ramón 1 Vajravelu, Kuppalapalle all top 5 Serials 22 Journal of Computational and Applied Mathematics 13 Applied Mathematics and Computation 11 Journal of Mathematical Chemistry 9 Mathematical Methods in the Applied Sciences 8 Computational and Applied Mathematics 7 Mathematics and Computers in Simulation 7 International Journal of Computer Mathematics 4 Applied Mathematics Letters 3 Computer Physics Communications 3 Numerical Algorithms 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Communications in Nonlinear Science and Numerical Simulation 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Numerical Mathematics: Theory, Methods and Applications 1 IMA Journal of Numerical Analysis 1 Calcolo 1 Bulletin of the Iranian Mathematical Society 1 Mathematical and Computer Modelling 1 Engineering Analysis with Boundary Elements 1 Fractional Calculus & Applied Analysis 1 Applied Sciences 1 DGDS. Differential Geometry – Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics and Computing 1 Thai Journal of Mathematics 1 Afrika Matematika 1 East Asian Journal on Applied Mathematics all top 5 Fields 108 Numerical analysis (65-XX) 38 Ordinary differential equations (34-XX) 17 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 1,189 times in 553 Documents Cited by ▼ Year ▼ An optimized two-step hybrid block method for solving general second order initial-value problems. Zbl 1347.65121 Ramos, Higinio; Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E. 87 2016 Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations. Zbl 1042.65053 Vigo-Aguiar, Jesús; Ramos, Higinio 79 2003 A new approach on the construction of trigonometrically fitted two step hybrid methods. Zbl 1382.65196 Kalogiratou, Z.; Monovasilis, Th.; Ramos, Higinio; Simos, T. E. 72 2016 Exponential fitting BDF-Runge-Kutta algorithms. Zbl 1196.65118 Vigo-Aguiar, J.; Martín-Vaquero, J.; Ramos, H. 62 2008 Numerical treatment of two-parameter singularly perturbed parabolic convection diffusion problems with non-smooth data. Zbl 1403.35024 Chandru, M.; Das, P.; Ramos, H. 60 2018 On the frequency choice in trigonometrically fitted methods. Zbl 1197.65082 Ramos, Higinio; Vigo-Aguiar, J. 57 2010 Modified two-step hybrid methods for the numerical integration of oscillatory problems. Zbl 1383.65074 Monovasilis, T.; Kalogiratou, Z.; Ramos, Higinio; Simos, T. E. 53 2017 Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\). Zbl 1094.65071 Vigo-Aguiar, Jesús; Ramos, Higinio 49 2006 On the choice of the frequency in trigonometrically-fitted methods for periodic problems. Zbl 1302.65161 Vigo-Aguiar, Jesús; Ramos, Higinio 30 2015 Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm. Zbl 1304.65180 Ramos, Higinio; Vigo-Aguiar, J.; Natesan, S.; García-Rubio, R.; Queiruga, M. A. 28 2010 A perturbation-based approach for solving fractional-order Volterra-Fredholm integro differential equations and its convergence analysis. Zbl 1492.65357 Das, Pratibhamoy; Rana, Subrata; Ramos, Higinio 28 2020 A family of A-stable Runge-Kutta collocation methods of higher order for initial-value problems. Zbl 1133.65049 Vigo-Aguiar, Jesús; Ramos, Higinio 27 2007 A graded mesh refinement approach for boundary layer originated singularly perturbed time-delayed parabolic convection diffusion problems. Zbl 1512.65180 Kumar, Kamalesh; Podila, Pramod Chakravarthy; Das, Pratibhamoy; Ramos, Higinio 26 2021 A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems. Zbl 1138.65054 Ramos, Higinio; Vigo-Aguiar, Jesús 22 2008 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. Zbl 1481.65265 Das, Pratibhamoy; Rana, Subrata; Ramos, Higinio 22 2022 \(L\)-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems. Zbl 1461.65206 Qureshi, Sania; Ramos, Higinio 20 2018 Variable stepsize Störmer-Cowell methods. Zbl 1092.65060 Ramos, H.; Vigo-Aguiar, J. 19 2005 A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations. Zbl 1113.65073 Ramos, Higinio; Vigo-Aguiar, Jesús 18 2007 On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term. Zbl 1445.34107 Bazighifan, Omar; Ramos, Higinio 18 2020 A unified approach for the development of \(k\)-step block Falkner-type methods for solving general second-order initial-value problems in ODEs. Zbl 1357.65092 Ramos, Higinio; Mehta, Shubham; Vigo-Aguiar, J. 17 2017 Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.’s. Zbl 1117.65106 Ramos, Higinio; Vigo-Aguiar, Jesús 15 2007 A non-standard explicit integration scheme for initial-value problems. Zbl 1122.65062 Ramos, Higinio 15 2007 Third derivative modification of \(k\)-step block Falkner methods for the numerical solution of second order initial-value problems. Zbl 1427.65113 Ramos, Higinio; Rufai, M. A. 15 2018 Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.S. Zbl 1217.65137 Ramos, Higinio; Lorenzo, Cesáreo 14 2010 A numerical ODE solver that preserves the fixed points and their stability. Zbl 1209.65072 Vigo-Aguiar, J.; Ramos, Higinio 12 2011 A tenth order \(\mathcal{A} \)-stable two-step hybrid block method for solving initial value problems of ODEs. Zbl 1426.65095 Ramos, Higinio; Singh, Gurjinder 12 2017 Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions. Zbl 1508.65106 Kumar, Sunil; Sumit; Ramos, Higinio 12 2021 A variable-step Numerov method for the numerical solution of the Schrödinger equation. Zbl 1070.81513 Vigo-Aguiar, Jesús; Ramos, Higinio 11 2005 A note on variable step-size formulation of a Simpson’s-type second derivative block method for solving stiff systems. Zbl 1353.65073 Ramos, Higinio; Singh, Gurjinder 11 2017 An efficient variable step-size rational Falkner-type method for solving the special second-order IVP. Zbl 1410.65257 Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh 11 2016 A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative. Zbl 1344.65061 Ramos, Higinio; Vigo-Aguiar, Jesus 11 2014 A new eighth-order A-stable method for solving differential systems arising in chemical reactions. Zbl 1103.92057 Vigo-Aguiar, Jesús; Ramos, Higinio 10 2006 A first approach in solving initial-value problems in ODEs by elliptic fitting methods. Zbl 1357.65095 Vigo-Aguiar, J.; Ramos, Higinio; Clavero, C. 10 2017 Solving initial and boundary value problems of fractional ordinary differential equations by using collocation and fractional powers. Zbl 1432.65112 Simões Patrício, M. F.; Ramos, Higinio; Patrício, Miguel 10 2019 An efficient optimized adaptive step-size hybrid block method for integrating differential systems. Zbl 1433.65128 Singh, Gurjinder; Garg, Arvind; Kanwar, V.; Ramos, Higinio 9 2019 A non-uniform difference scheme for solving singularly perturbed 1D-parabolic reaction-convection-diffusion systems with two small parameters and discontinuous source terms. Zbl 1433.65135 Aarthika, K.; Shanthi, V.; Ramos, Higinio 9 2020 A third-derivative two-step block Falkner-type method for solving general second-order boundary-value systems. Zbl 07316741 Ramos, Higinio; Rufai, M. A. 9 2019 The application of Newton’s method in vector form for solving nonlinear scalar equations where the classical Newton method fails. Zbl 1297.65054 Ramos, Higinio; Vigo-Aguiar, J. 7 2015 Some new implicit two-step multiderivative methods for solving special second-order IVP’s. Zbl 1337.65076 Ramos, Higinio; Patricio, M. F. 7 2014 A new approach based on the Newton’s method to solve systems of nonlinear equations. Zbl 1357.65062 Ramos, Higinio; Monteiro, M. T. T. 7 2017 An optimized two-step hybrid block method formulated in variable step-size mode for integrating \(y'' = f (x,y,y')\) numerically. Zbl 1449.65154 Singh, Gurjinder; Ramos, Higinio 7 2019 How many \(k\)-step linear block methods exist and which of them is the most efficient and simplest one? Zbl 1426.65094 Ramos, Higinio; Popescu, Paul 7 2018 Contributions to the development of differential systems exactly solved by multistep finite-difference schemes. Zbl 1201.65132 Ramos, Higinio 7 2010 Numerical solution of boundary value problems by using an optimized two-step block method. Zbl 1440.65075 Ramos, Higinio; Rufai, M. A. 7 2020 A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error. Zbl 1300.65049 Vigo-Aguiar, J.; Ramos, Higinio 6 2014 Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques. Zbl 1476.65145 Rufai, Mufutau Ajani; Ramos, Higinio 6 2022 A block hybrid integrator for numerically solving fourth-order initial value problems. Zbl 1429.65147 Modebei, Mark I.; Adeniyi, Rapheal B.; Jator, Samuel N.; Ramos, Higinio 6 2019 The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars. Zbl 1464.74362 Albuquerque-Ferreira, A. C.; Ureña, Miguel; Ramos, Higinio 6 2021 A uniformly convergent quadratic \(B\)-spline based scheme for singularly perturbed degenerate parabolic problems. Zbl 07487706 Singh, Satpal; Kumar, Devendra; Ramos, Higinio 6 2022 A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease. Zbl 1524.92097 Khalsaraei, Mohammad Mehdizadeh; Shokri, Ali; Ramos, Higinio; Heydari, Shahin 6 2021 Discrete approximation for a two-parameter singularly perturbed boundary value problem having discontinuity in convection coefficient and source term. Zbl 1416.65219 Prabha, T.; Chandru, M.; Shanthi, V.; Ramos, H. 6 2019 An almost L-stable BDF-type method for the numerical solution of stiff ODEs arising from the method of lines. Zbl 1129.65049 Ramos, Higinio; Vigo-Aguiar, Jesús 5 2007 An embedded 3(2) pair of nonlinear methods for solving first order initial-value ordinary differential systems. Zbl 1380.65121 Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh 5 2017 Adaptive step-size approach for Simpson’s-type block methods with time efficiency and order stars. Zbl 1476.65123 Ramos, Higinio; Qureshi, Sania; Soomro, Amanullah 5 2021 Block hybrid method for the numerical solution of fourth order boundary value problems. Zbl 1437.65079 Modebei, Mark I.; Jator, S. N.; Ramos, Higinio 5 2020 A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction-diffusion equations with discontinuous source terms. Zbl 1480.65312 Aarthika, K.; Shanthi, V.; Ramos, Higinio 5 2021 Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations. Zbl 1499.65575 Ramos, Higinio; Kaur, Anurag; Kanwar, V. 5 2022 A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications. Zbl 1499.65290 Rufai, Mufutau Ajani; Ramos, Higinio 5 2022 A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems. Zbl 1481.65111 Ramos, Higinio; Rufai, Mufutau Ajani 4 2022 Solving first-order initial-value problems by using an explicit non-standard \(A\)-stable one-step method in variable step-size formulation. Zbl 1410.65256 Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh 4 2015 A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers. Zbl 07700813 Shiromani, Ram; Shanthi, Vembu; Ramos, Higinio 4 2023 A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters. Zbl 1481.65137 Kumar, Kamalesh; Chakravarthy, P. Pramod; Ramos, Higinio; Vigo-Aguiar, Jesús 4 2022 Simplifying the variational iteration method: a new approach to obtain the Lagrange multiplier. Zbl 07619077 Tomar, Saurabh; Singh, Mehakpreet; Vajravelu, Kuppalapalle; Ramos, Higinio 4 2023 Second-order Emden-Fowler neutral differential equations: a new precise criterion for oscillation. Zbl 1489.34114 Moaaz, Osama; Ramos, Higinio; Awrejcewicz, Jan 4 2021 An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems. Zbl 1513.65221 Ramos, Higinio; Rufai, Mufutau Ajani 4 2022 A high-order efficient optimised global hybrid method for singular two-point boundary value problems. Zbl 1476.65143 Ramos, Higinio; Singh, Gurjinder 3 2021 An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane-Emden-Fowler type. Zbl 07442888 Ramos, Higinio; Rufai, Mufutau Ajani 3 2022 Extrapolating for attaining high precision solutions for fractional partial differential equations. Zbl 1423.35410 Patrício, Fernanda Simões; Patrício, Miguel; Ramos, Higinio 3 2018 Numerical solution of Bratu’s and related problems using a third derivative hybrid block method. Zbl 1461.65215 Rufai, M. A.; Ramos, Higinio 3 2020 One-step hybrid block method containing third derivatives and improving strategies for solving Bratu’s and Troesch’s problems. Zbl 1474.65234 Rufai, Mufutau Ajani; Ramos, Higinio 3 2020 Some variants of Halley’s method with memory and their applications for solving several chemical problems. Zbl 07184525 Cordero, Alicia; Ramos, Higinio; Torregrosa, Juan R. 3 2020 Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator. Zbl 1510.65158 Ramos, Higinio; Singh, Gurjinder 3 2022 A nonlinear explicit one-step integration scheme for singular autonomous initial value problems. Zbl 1152.65378 Ramos, Higinio 2 2007 A note on step-size selection in the Störmer-Cowell methods. Zbl 1063.65071 Ramos, Higinio; Vigo-Aguiar, Jesús 2 2005 Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems. Zbl 1476.65124 Singla, Rajat; Singh, Gurjinder; Kanwar, V.; Ramos, Higinio 2 2021 Numerical solution of nonlinear singularly perturbed problems by using a non-standard algorithm on variable stepsize implementation (CMMSE-2009). Zbl 1304.65179 Ramos, Higinio; García-Rubio, R. 2 2010 A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients. Zbl 1510.65183 Aarthika, K.; Shanthi, V.; Ramos, Higinio 2 2022 Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods. Zbl 1497.65108 Rufai, Mufutau Ajani; Ramos, Higinio 2 2023 A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term. Zbl 1522.65132 Rathore, Ajay Singh; Shanthi, Vembu; Ramos, Higinio 2 2023 Special issue: Topics of contemporary computational mathematics. Selected papers based on the presentations at the 10th international conference on computational and mathematical methods in science and engineering (CMMSE 2010), Almería, Spain, June 26–30, 2010. Zbl 1246.00027 1 2012 Variable step-size Störmer methods. Zbl 1032.65519 Ramos, H.; Vigo-Aguiar, J. 1 2003 An optimized two-step hybrid block method for solving first-order initial-value problems in ODEs. Zbl 1372.65211 Ramos, Higinio 1 2017 Mathematical and computational tools in chemistry: CMMSE–2014. Zbl 1316.00058 1 2015 A functionally-fitted block Numerov method for solving second-order initial-value problems with oscillatory solutions. Zbl 07424834 Abdulganiy, R. I.; Ramos, Higinio; Akinfenwa, O. A.; Okunuga, S. A. 1 2021 A second-derivative functionally fitted method of maximal order for oscillatory initial value problems. Zbl 1476.65125 Abdulganiy, R. I.; Akinfenwa, O. A.; Ramos, H.; Okunuga, S. A. 1 2021 Development and implementation of a tenth-order hybrid block method for solving fifth-order boundary value problems. Zbl 1476.65142 Ramos, Higinio; Momoh, Adelegan L. 1 2021 Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions. Zbl 07705770 Shiromani, Ram; Shanthi, Vembu; Ramos, Higinio 1 2023 Formulation and analysis of a class of direct implicit integration methods for special second-order I.V.P.s in predictor-corrector modes. Zbl 07096660 Ramos, Higinio 1 2019 Numerical solution of a fourth-order singularly perturbed boundary value problem with discontinuities via Haar wavelets. Zbl 07812754 Podila, Pramod Chakravarthy; Sundrani, Vishwas; Ramos, Higinio 1 2022 A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers. Zbl 07700813 Shiromani, Ram; Shanthi, Vembu; Ramos, Higinio 4 2023 Simplifying the variational iteration method: a new approach to obtain the Lagrange multiplier. Zbl 07619077 Tomar, Saurabh; Singh, Mehakpreet; Vajravelu, Kuppalapalle; Ramos, Higinio 4 2023 Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods. Zbl 1497.65108 Rufai, Mufutau Ajani; Ramos, Higinio 2 2023 A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term. Zbl 1522.65132 Rathore, Ajay Singh; Shanthi, Vembu; Ramos, Higinio 2 2023 Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions. Zbl 07705770 Shiromani, Ram; Shanthi, Vembu; Ramos, Higinio 1 2023 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. Zbl 1481.65265 Das, Pratibhamoy; Rana, Subrata; Ramos, Higinio 22 2022 Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques. Zbl 1476.65145 Rufai, Mufutau Ajani; Ramos, Higinio 6 2022 A uniformly convergent quadratic \(B\)-spline based scheme for singularly perturbed degenerate parabolic problems. Zbl 07487706 Singh, Satpal; Kumar, Devendra; Ramos, Higinio 6 2022 Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations. Zbl 1499.65575 Ramos, Higinio; Kaur, Anurag; Kanwar, V. 5 2022 A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications. Zbl 1499.65290 Rufai, Mufutau Ajani; Ramos, Higinio 5 2022 A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems. Zbl 1481.65111 Ramos, Higinio; Rufai, Mufutau Ajani 4 2022 A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters. Zbl 1481.65137 Kumar, Kamalesh; Chakravarthy, P. Pramod; Ramos, Higinio; Vigo-Aguiar, Jesús 4 2022 An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems. Zbl 1513.65221 Ramos, Higinio; Rufai, Mufutau Ajani 4 2022 An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane-Emden-Fowler type. Zbl 07442888 Ramos, Higinio; Rufai, Mufutau Ajani 3 2022 Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator. Zbl 1510.65158 Ramos, Higinio; Singh, Gurjinder 3 2022 A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients. Zbl 1510.65183 Aarthika, K.; Shanthi, V.; Ramos, Higinio 2 2022 Numerical solution of a fourth-order singularly perturbed boundary value problem with discontinuities via Haar wavelets. Zbl 07812754 Podila, Pramod Chakravarthy; Sundrani, Vishwas; Ramos, Higinio 1 2022 A graded mesh refinement approach for boundary layer originated singularly perturbed time-delayed parabolic convection diffusion problems. Zbl 1512.65180 Kumar, Kamalesh; Podila, Pramod Chakravarthy; Das, Pratibhamoy; Ramos, Higinio 26 2021 Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions. Zbl 1508.65106 Kumar, Sunil; Sumit; Ramos, Higinio 12 2021 The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars. Zbl 1464.74362 Albuquerque-Ferreira, A. C.; Ureña, Miguel; Ramos, Higinio 6 2021 A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease. Zbl 1524.92097 Khalsaraei, Mohammad Mehdizadeh; Shokri, Ali; Ramos, Higinio; Heydari, Shahin 6 2021 Adaptive step-size approach for Simpson’s-type block methods with time efficiency and order stars. Zbl 1476.65123 Ramos, Higinio; Qureshi, Sania; Soomro, Amanullah 5 2021 A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction-diffusion equations with discontinuous source terms. Zbl 1480.65312 Aarthika, K.; Shanthi, V.; Ramos, Higinio 5 2021 Second-order Emden-Fowler neutral differential equations: a new precise criterion for oscillation. Zbl 1489.34114 Moaaz, Osama; Ramos, Higinio; Awrejcewicz, Jan 4 2021 A high-order efficient optimised global hybrid method for singular two-point boundary value problems. Zbl 1476.65143 Ramos, Higinio; Singh, Gurjinder 3 2021 Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems. Zbl 1476.65124 Singla, Rajat; Singh, Gurjinder; Kanwar, V.; Ramos, Higinio 2 2021 A functionally-fitted block Numerov method for solving second-order initial-value problems with oscillatory solutions. Zbl 07424834 Abdulganiy, R. I.; Ramos, Higinio; Akinfenwa, O. A.; Okunuga, S. A. 1 2021 A second-derivative functionally fitted method of maximal order for oscillatory initial value problems. Zbl 1476.65125 Abdulganiy, R. I.; Akinfenwa, O. A.; Ramos, H.; Okunuga, S. A. 1 2021 Development and implementation of a tenth-order hybrid block method for solving fifth-order boundary value problems. Zbl 1476.65142 Ramos, Higinio; Momoh, Adelegan L. 1 2021 A perturbation-based approach for solving fractional-order Volterra-Fredholm integro differential equations and its convergence analysis. Zbl 1492.65357 Das, Pratibhamoy; Rana, Subrata; Ramos, Higinio 28 2020 On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term. Zbl 1445.34107 Bazighifan, Omar; Ramos, Higinio 18 2020 A non-uniform difference scheme for solving singularly perturbed 1D-parabolic reaction-convection-diffusion systems with two small parameters and discontinuous source terms. Zbl 1433.65135 Aarthika, K.; Shanthi, V.; Ramos, Higinio 9 2020 Numerical solution of boundary value problems by using an optimized two-step block method. Zbl 1440.65075 Ramos, Higinio; Rufai, M. A. 7 2020 Block hybrid method for the numerical solution of fourth order boundary value problems. Zbl 1437.65079 Modebei, Mark I.; Jator, S. N.; Ramos, Higinio 5 2020 Numerical solution of Bratu’s and related problems using a third derivative hybrid block method. Zbl 1461.65215 Rufai, M. A.; Ramos, Higinio 3 2020 One-step hybrid block method containing third derivatives and improving strategies for solving Bratu’s and Troesch’s problems. Zbl 1474.65234 Rufai, Mufutau Ajani; Ramos, Higinio 3 2020 Some variants of Halley’s method with memory and their applications for solving several chemical problems. Zbl 07184525 Cordero, Alicia; Ramos, Higinio; Torregrosa, Juan R. 3 2020 Solving initial and boundary value problems of fractional ordinary differential equations by using collocation and fractional powers. Zbl 1432.65112 Simões Patrício, M. F.; Ramos, Higinio; Patrício, Miguel 10 2019 An efficient optimized adaptive step-size hybrid block method for integrating differential systems. Zbl 1433.65128 Singh, Gurjinder; Garg, Arvind; Kanwar, V.; Ramos, Higinio 9 2019 A third-derivative two-step block Falkner-type method for solving general second-order boundary-value systems. Zbl 07316741 Ramos, Higinio; Rufai, M. A. 9 2019 An optimized two-step hybrid block method formulated in variable step-size mode for integrating \(y'' = f (x,y,y')\) numerically. Zbl 1449.65154 Singh, Gurjinder; Ramos, Higinio 7 2019 A block hybrid integrator for numerically solving fourth-order initial value problems. Zbl 1429.65147 Modebei, Mark I.; Adeniyi, Rapheal B.; Jator, Samuel N.; Ramos, Higinio 6 2019 Discrete approximation for a two-parameter singularly perturbed boundary value problem having discontinuity in convection coefficient and source term. Zbl 1416.65219 Prabha, T.; Chandru, M.; Shanthi, V.; Ramos, H. 6 2019 Formulation and analysis of a class of direct implicit integration methods for special second-order I.V.P.s in predictor-corrector modes. Zbl 07096660 Ramos, Higinio 1 2019 Numerical treatment of two-parameter singularly perturbed parabolic convection diffusion problems with non-smooth data. Zbl 1403.35024 Chandru, M.; Das, P.; Ramos, H. 60 2018 \(L\)-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems. Zbl 1461.65206 Qureshi, Sania; Ramos, Higinio 20 2018 Third derivative modification of \(k\)-step block Falkner methods for the numerical solution of second order initial-value problems. Zbl 1427.65113 Ramos, Higinio; Rufai, M. A. 15 2018 How many \(k\)-step linear block methods exist and which of them is the most efficient and simplest one? Zbl 1426.65094 Ramos, Higinio; Popescu, Paul 7 2018 Extrapolating for attaining high precision solutions for fractional partial differential equations. Zbl 1423.35410 Patrício, Fernanda Simões; Patrício, Miguel; Ramos, Higinio 3 2018 Modified two-step hybrid methods for the numerical integration of oscillatory problems. Zbl 1383.65074 Monovasilis, T.; Kalogiratou, Z.; Ramos, Higinio; Simos, T. E. 53 2017 A unified approach for the development of \(k\)-step block Falkner-type methods for solving general second-order initial-value problems in ODEs. Zbl 1357.65092 Ramos, Higinio; Mehta, Shubham; Vigo-Aguiar, J. 17 2017 A tenth order \(\mathcal{A} \)-stable two-step hybrid block method for solving initial value problems of ODEs. Zbl 1426.65095 Ramos, Higinio; Singh, Gurjinder 12 2017 A note on variable step-size formulation of a Simpson’s-type second derivative block method for solving stiff systems. Zbl 1353.65073 Ramos, Higinio; Singh, Gurjinder 11 2017 A first approach in solving initial-value problems in ODEs by elliptic fitting methods. Zbl 1357.65095 Vigo-Aguiar, J.; Ramos, Higinio; Clavero, C. 10 2017 A new approach based on the Newton’s method to solve systems of nonlinear equations. Zbl 1357.65062 Ramos, Higinio; Monteiro, M. T. T. 7 2017 An embedded 3(2) pair of nonlinear methods for solving first order initial-value ordinary differential systems. Zbl 1380.65121 Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh 5 2017 An optimized two-step hybrid block method for solving first-order initial-value problems in ODEs. Zbl 1372.65211 Ramos, Higinio 1 2017 An optimized two-step hybrid block method for solving general second order initial-value problems. Zbl 1347.65121 Ramos, Higinio; Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E. 87 2016 A new approach on the construction of trigonometrically fitted two step hybrid methods. Zbl 1382.65196 Kalogiratou, Z.; Monovasilis, Th.; Ramos, Higinio; Simos, T. E. 72 2016 An efficient variable step-size rational Falkner-type method for solving the special second-order IVP. Zbl 1410.65257 Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh 11 2016 On the choice of the frequency in trigonometrically-fitted methods for periodic problems. Zbl 1302.65161 Vigo-Aguiar, Jesús; Ramos, Higinio 30 2015 The application of Newton’s method in vector form for solving nonlinear scalar equations where the classical Newton method fails. Zbl 1297.65054 Ramos, Higinio; Vigo-Aguiar, J. 7 2015 Solving first-order initial-value problems by using an explicit non-standard \(A\)-stable one-step method in variable step-size formulation. Zbl 1410.65256 Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh 4 2015 Mathematical and computational tools in chemistry: CMMSE–2014. Zbl 1316.00058 1 2015 A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative. Zbl 1344.65061 Ramos, Higinio; Vigo-Aguiar, Jesus 11 2014 Some new implicit two-step multiderivative methods for solving special second-order IVP’s. Zbl 1337.65076 Ramos, Higinio; Patricio, M. F. 7 2014 A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error. Zbl 1300.65049 Vigo-Aguiar, J.; Ramos, Higinio 6 2014 Special issue: Topics of contemporary computational mathematics. Selected papers based on the presentations at the 10th international conference on computational and mathematical methods in science and engineering (CMMSE 2010), Almería, Spain, June 26–30, 2010. Zbl 1246.00027 1 2012 A numerical ODE solver that preserves the fixed points and their stability. Zbl 1209.65072 Vigo-Aguiar, J.; Ramos, Higinio 12 2011 On the frequency choice in trigonometrically fitted methods. Zbl 1197.65082 Ramos, Higinio; Vigo-Aguiar, J. 57 2010 Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm. Zbl 1304.65180 Ramos, Higinio; Vigo-Aguiar, J.; Natesan, S.; García-Rubio, R.; Queiruga, M. A. 28 2010 Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.S. Zbl 1217.65137 Ramos, Higinio; Lorenzo, Cesáreo 14 2010 Contributions to the development of differential systems exactly solved by multistep finite-difference schemes. Zbl 1201.65132 Ramos, Higinio 7 2010 Numerical solution of nonlinear singularly perturbed problems by using a non-standard algorithm on variable stepsize implementation (CMMSE-2009). Zbl 1304.65179 Ramos, Higinio; García-Rubio, R. 2 2010 Exponential fitting BDF-Runge-Kutta algorithms. Zbl 1196.65118 Vigo-Aguiar, J.; Martín-Vaquero, J.; Ramos, H. 62 2008 A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems. Zbl 1138.65054 Ramos, Higinio; Vigo-Aguiar, Jesús 22 2008 A family of A-stable Runge-Kutta collocation methods of higher order for initial-value problems. Zbl 1133.65049 Vigo-Aguiar, Jesús; Ramos, Higinio 27 2007 A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations. Zbl 1113.65073 Ramos, Higinio; Vigo-Aguiar, Jesús 18 2007 Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.’s. Zbl 1117.65106 Ramos, Higinio; Vigo-Aguiar, Jesús 15 2007 A non-standard explicit integration scheme for initial-value problems. Zbl 1122.65062 Ramos, Higinio 15 2007 An almost L-stable BDF-type method for the numerical solution of stiff ODEs arising from the method of lines. Zbl 1129.65049 Ramos, Higinio; Vigo-Aguiar, Jesús 5 2007 A nonlinear explicit one-step integration scheme for singular autonomous initial value problems. Zbl 1152.65378 Ramos, Higinio 2 2007 Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\). Zbl 1094.65071 Vigo-Aguiar, Jesús; Ramos, Higinio 49 2006 A new eighth-order A-stable method for solving differential systems arising in chemical reactions. Zbl 1103.92057 Vigo-Aguiar, Jesús; Ramos, Higinio 10 2006 Variable stepsize Störmer-Cowell methods. Zbl 1092.65060 Ramos, H.; Vigo-Aguiar, J. 19 2005 A variable-step Numerov method for the numerical solution of the Schrödinger equation. Zbl 1070.81513 Vigo-Aguiar, Jesús; Ramos, Higinio 11 2005 A note on step-size selection in the Störmer-Cowell methods. Zbl 1063.65071 Ramos, Higinio; Vigo-Aguiar, Jesús 2 2005 Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations. Zbl 1042.65053 Vigo-Aguiar, Jesús; Ramos, Higinio 79 2003 Variable step-size Störmer methods. Zbl 1032.65519 Ramos, H.; Vigo-Aguiar, J. 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 707 Authors 108 Simos, Theodore E. 70 Ramos, Higinio 25 Vigo-Aguiar, Jesus 20 Fang, Yonglei 20 Jator, Samuel N. 20 Lin, Chialiang 20 You, Xiong 14 Kumar, Sunil 14 Li, Jiyong 13 Medvedev, Maxim A. 13 Qureshi, Sania 13 Rufai, Mufutau Ajani 11 Shanthi, Vembu 11 Singh, Gurjinder 10 Alolyan, Ibraheem 10 Bazighifan, Omar 10 Das, Pratibhamoy 10 Kanwar, Vinay 10 Khalsaraei, Mohammad Mehdizadeh 10 Tsitouras, Charalampos 9 Liu, Chenglian 9 Medvedeva, Marina A. 9 Okunuga, Solomon A. 8 Garcia-Rubio, Raquel 8 Kumar, Devendra 7 Duressa, Gemechis File 6 Abdulganiy, Ridwanulahi Iyanda 6 Koval’nogov, Vladislav Nikolaevich 6 Shaikh, Asif Ali 6 Shiromani, Ram 6 Sumit, S. 6 Yang, Yanping 6 Zheng, Juan 5 Ehigie, Julius Osato 5 Fedorov, Ruslan V. 5 Franco, J. Méndez 5 Liu, Shiwei 5 Mohapatra, Jugal 5 Senu, Norazak 5 Singh, Satpal 5 Yusuf, Abdullahi A. 5 Zhang, Ruqiang 4 Berg, Dmitry B. 4 Bhatia, Saurabh 4 Bu, Sunyoung 4 Chen, Zhaoxia 4 Hoang, Manh Tuan 4 Ismail, Fudziah Bt. 4 Kim, Philsu 4 Macías-Díaz, Jorge Eduardo 4 Modebei, Mark I. 4 Ngwane, Fidele F. 4 Rández, Luis 4 Singh, Joginder 4 Sun, Bin 4 Wu, Xinyuan 3 Aakansha 3 Aarthika, K. 3 Biala, Toheeb A. 3 Demba, Musa Ahmed 3 Deng, Shuo 3 Famelis, Ioannis Th. 3 Gelu, Fasika Wondimu 3 Guo, Ben-Yu 3 Hsu, Chieh-Wen 3 Kalogiratou, Zacharoula 3 Kaur, Anurag 3 Majid, Zanariah Abdul 3 Martín-Vaquero, Jesús 3 Moaaz, Osama 3 Natesan, Srinivasan 3 Podila, Pramod Chakravarthy 3 Rana, Subrata 3 Recke, Lutz 3 Santra, Sudarshan 3 Song, Lina 3 Tamilselvan, Ayyadurai 3 Wang, Bin 3 Wang, Xianfen 3 Wang, Zenggui 3 Watthayu, Wiboonsak 3 Yakubu, Dauda Gulibur 2 Abdeljawad, Thabet 2 Ahmad, Hijaz 2 Ahmed, Idris 2 Akgül, Ali 2 Akinfenwa, Olusheye Aremu Akin 2 Alotaibi, Hammad 2 Anastassi, Zacharias A. 2 Băleanu, Dumitru I. 2 Bayón, Luis 2 Bhatti, Kaleemullah 2 Bullo, Tesfaye Aga 2 Chen, Yanping 2 Chen, Yiming 2 Chen, Zhong 2 Choudhary, Renu 2 Clavero, Carmelo 2 Cordero, Alicia 2 Debsarma, Suma ...and 607 more Authors all top 5 Cited in 96 Serials 136 Journal of Mathematical Chemistry 55 Journal of Computational and Applied Mathematics 36 Applied Mathematics and Computation 27 Computational and Applied Mathematics 25 Numerical Algorithms 22 International Journal of Computer Mathematics 16 International Journal of Applied and Computational Mathematics 15 Mathematics and Computers in Simulation 13 Applied Numerical Mathematics 10 Mathematical Methods in the Applied Sciences 10 Journal of Applied Mathematics and Computing 9 Computers & Mathematics with Applications 9 Chaos, Solitons and Fractals 9 Journal of the Nigerian Mathematical Society 9 International Journal of Computational Methods 8 Mediterranean Journal of Mathematics 7 Advances in Difference Equations 5 Computer Physics Communications 5 Applied Mathematics Letters 5 Journal of Applied Mathematics 5 AIMS Mathematics 4 Abstract and Applied Analysis 4 Communications in Nonlinear Science and Numerical Simulation 4 International Journal of Differential Equations 4 Afrika Matematika 4 Journal of Mathematics 3 Journal of Computational Physics 3 Numerical Methods for Partial Differential Equations 3 Engineering Analysis with Boundary Elements 3 Mathematical Problems in Engineering 3 Journal of Function Spaces 2 Physica A 2 Rocky Mountain Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Proceedings of the American Mathematical Society 2 Fractals 2 Journal of Difference Equations and Applications 2 Soft Computing 2 Discrete and Continuous Dynamical Systems. 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(English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Journal of Scientific Computing 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 Journal of Computer and Systems Sciences International 1 Georgian Mathematical Journal 1 Filomat 1 Opuscula Mathematica 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Communications 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Chaos 1 Far East Journal of Applied Mathematics 1 Discrete Dynamics in Nature and Society 1 Computational Geosciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Thai Journal of Mathematics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Differential Equations & Nonlinear Mechanics 1 Computational & Mathematical Methods in Medicine 1 Networks and Heterogeneous Media 1 Involve 1 Advances in Mathematical Physics 1 TWMS Journal of Pure and Applied Mathematics 1 Journal of Applied Mathematics & Informatics 1 Journal of Applied Analysis and Computation 1 Mathematics 1 Journal of Mathematical Modeling 1 Computational Methods for Differential Equations 1 Open Mathematics 1 Mathematical Foundations of Computing 1 Results in Applied Mathematics 1 Fixed Point Theory and Algorithms for Sciences and Engineering all top 5 Cited in 36 Fields 476 Numerical analysis (65-XX) 150 Ordinary differential equations (34-XX) 96 Partial differential equations (35-XX) 65 Quantum theory (81-XX) 31 Biology and other natural sciences (92-XX) 27 Real functions (26-XX) 22 Fluid mechanics (76-XX) 17 Integral equations (45-XX) 12 Approximations and expansions (41-XX) 12 Operator theory (47-XX) 9 Special functions (33-XX) 9 Mechanics of deformable solids (74-XX) 8 Computer science (68-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 General and overarching topics; collections (00-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Integral transforms, operational calculus (44-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) Citations by Year