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Author ID: ramos.higinio Recent zbMATH articles by "Ramos, Higinio"
Published as: Ramos, Higinio; Ramos, H.; Calle, H. R.
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

Publications by Year

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 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. Series B
2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Hacettepe Journal of Mathematics and Statistics
2 Mathematical Biosciences and Engineering
2 Advances in Differential Equations and Control Processes
2 GEM - International Journal on Geomathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Cogent Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Calcolo
1 Demonstratio Mathematica
1 Information Sciences
1 Journal of Differential Equations
1 Kybernetika
1 Kyungpook Mathematical Journal
1 Opsearch
1 Ricerche di Matematica
1 SIAM Journal on Numerical Analysis
1 Circuits, Systems, and Signal Processing
1 Applied Mathematics and Mechanics. (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)

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