×
Compute Distance To:
Author ID: vigo-aguiar.jesus Recent zbMATH articles by "Vigo-Aguiar, Jesus"
Published as: Vigo-Aguiar, J.; Vigo-Aguiar, Jesús; Vigo-Aguiar, Jesus; Aguiar, Jesus Vigo; Aguiar, Jesús Vigo; Vigo Aguiar, Jesús; Vigo Aguiar, J.
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 1,760 times in 715 Documents Cited by Year
A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 1003.65082
Simos, T. E.; Aguiar, Jesus Vigo
87
2001
Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation. Zbl 1002.65078
Simos, T. E.; Vigo-Aguiar, Jesus
82
2002
Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation. Zbl 1014.81055
Vigo-Aguiar, J.; Simos, T. E.
81
2002
A general procedure for the adaptation of multistep algorithms to the integration of oscillatory problems. Zbl 0916.65081
Vigo-Aguiar, Jesus; Ferrándiz, José M.
71
1998
Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations. Zbl 1042.65053
Vigo-Aguiar, Jesús; Ramos, Higinio
71
2003
A parallel boundary value technique for singularly perturbed two-point boundary value problems. Zbl 1070.65066
Vigo-Aguiar, J.; Natesan, S.
70
2004
Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods. Zbl 1086.65120
Tocino, A.; Vigo-Aguiar, J.
69
2005
A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems. Zbl 1196.65123
Simos, T. E.; Vigo-Aguiar, Jesus
62
2003
Exponential fitting BDF-Runge-Kutta algorithms. Zbl 1196.65118
Vigo-Aguiar, J.; Martín-Vaquero, J.; Ramos, H.
55
2008
On the frequency choice in trigonometrically fitted methods. Zbl 1197.65082
Ramos, Higinio; Vigo-Aguiar, J.
49
2010
Exponential fitted Gauss, Radau and Lobatto methods of low order. Zbl 1148.65059
Martín-Vaquero, J.; Vigo-Aguiar, J.
47
2008
Adapted BDF algorithms: Higher-order methods and their stability. Zbl 1125.65067
Martín-Vaquero, J.; Vigo-Aguiar, J.
47
2007
Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\). Zbl 1094.65071
Vigo-Aguiar, Jesús; Ramos, Higinio
44
2006
Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers. Zbl 1033.65061
Natesan, S.; Jayakumar, J.; Vigo-Aguiar, J.
40
2003
An efficient numerical method for singular perturbation problems. Zbl 1095.65068
Vigo-Aguiar, J.; Natesan, S.
38
2006
Analysis of a numerical dynamic programming algorithm applied to economic models. Zbl 1010.90091
Santos, Manuel S.; Vigo-Aguiar, Jesús
37
1998
Controlling the error growth in long-term numerical integration of perturbed oscillations in one or several frequencies. Zbl 1041.65058
Vigo-Aguiar, J.; Simos, T. E.; Ferrándiz, J. M.
37
2004
A parallel ODE solver adapted to oscillatory problems. Zbl 0992.65079
Vigo-Aguiar, J.; Quintales, L. M.
36
2001
Weak second order conditions for stochastic Runge-Kutta methods. Zbl 1025.65011
Tocino, A.; Vigo-Aguiar, J.
33
2002
Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter. Zbl 1415.65166
Das, Pratibhamoy; Vigo-Aguiar, Jesus
32
2019
A modified Runge–Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems. Zbl 1064.65069
Simos, T. E.; Aguiar, Jesús Vigo
29
2001
A numerical algorithm for singular perturbation problems exhibiting weak boundary layers. Zbl 1036.65065
Natesan, S.; Vigo-Aguiar, J.; Ramanujam, N.
29
2003
An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems. Zbl 0982.65079
Avdelas, G.; Simos, T. E.; Vigo-Aguiar, J.
28
2000
A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems. Zbl 0985.65084
Simos, T. E.; Aguiar, Jesus Vigo
28
2000
Exponential fitting BDF algorithms: explicit and implicit 0-stable methods. Zbl 1091.65074
Martín-Vaquero, J.; Vigo-Aguiar, J.
28
2006
On the choice of the frequency in trigonometrically-fitted methods for periodic problems. Zbl 1302.65161
Vigo-Aguiar, Jesús; Ramos, Higinio
26
2015
An exponentially-fitted high order method for long-term integration of periodic initial-value problems. Zbl 0991.65063
Simos, T. E.; Vigo-Aguiar, Jesus
25
2001
Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature. Zbl 1448.65075
Das, Pratibhamoy; Rana, Subrata; Vigo-Aguiar, Jesus
24
2020
On the numerical solution of the heat conduction equations subject to nonlocal conditions. Zbl 1167.65423
Martín-Vaquero, J.; Vigo-Aguiar, J.
23
2009
A family of A-stable Runge-Kutta collocation methods of higher order for initial-value problems. Zbl 1133.65049
Vigo-Aguiar, Jesús; Ramos, Higinio
23
2007
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.
23
2010
On smoothing of the Crank-Nicolson scheme and higher order schemes for pricing barrier options. Zbl 1137.91477
Wade, B. A.; Khaliq, A. Q. M.; Yousuf, M.; Vigo-Aguiar, J.; Deininger, R.
21
2007
Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002), Alicante, Spain, 20–25 September 2002. Zbl 1028.00531
20
2003
On the stability of exponential fitting BDF algorithms. Zbl 1063.65069
Vigo-Aguiar, J.; Martín-Vaquero, J.; Criado, R.
19
2005
A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems. Zbl 1138.65054
Ramos, Higinio; Vigo-Aguiar, Jesús
19
2008
Variable stepsize Störmer-Cowell methods. Zbl 1092.65060
Ramos, H.; Vigo-Aguiar, J.
18
2005
High order smoothing schemes for inhomogeneous parabolic problems with applications in option pricing. Zbl 1130.91338
Khaliq, A. Q. M.; Wade, B. A.; Yousuf, M.; Vigo-Aguiar, J.
15
2007
A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations. Zbl 1113.65073
Ramos, Higinio; Vigo-Aguiar, Jesús
15
2007
A note on efficient techniques for the second-order parabolic equation subject to non-local conditions. Zbl 1167.65422
Martín-Vaquero, J.; Vigo-Aguiar, J.
15
2009
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.
14
2017
Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.’s. Zbl 1117.65106
Ramos, Higinio; Vigo-Aguiar, Jesús
14
2007
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 numerical ODE solver that preserves the fixed points and their stability. Zbl 1209.65072
Vigo-Aguiar, J.; Ramos, Higinio
11
2011
A variable-step Numerov method for the numerical solution of the Schrödinger equation. Zbl 1070.81513
Vigo-Aguiar, Jesús; Ramos, Higinio
11
2005
Exponential fitting BDF algorithms and their properties. Zbl 1126.65060
Vigo-Aguiar, J.; Martín-Vaquero, J.
11
2007
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
An approach to variable coefficients multistep methods for special differential equations. Zbl 1171.65411
Vigo-Aguiar, Jesús
10
1999
VSVO multistep formulae adapted to perturbed second-order differential equations. Zbl 0932.65087
Vigo-Aguiar, J.; Ferrándiz, J. M.
9
1998
A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms. Zbl 07444599
Shakti, Deepti; Mohapatra, Jugal; Das, Pratibhamoy; Vigo-Aguiar, Jesus
8
2022
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
A new eighth-order A-stable method for solving differential systems arising in chemical reactions. Zbl 1103.92057
Vigo-Aguiar, Jesús; Ramos, Higinio
7
2006
Adapted BDF algorithms applied to parabolic problems. Zbl 1115.65064
Vigo-Aguiar, J.; Martín-Vaquero, J.; Wade, B. A.
7
2007
Numeric multistep variable methods for perturbed linear system integration. Zbl 1243.65086
Reyes, José Antonio; García-Alonso, F.; Ferrándiz, J. M.; Vigo-Aguiar, J.
6
2007
Special issue: Computational and mathematical methods in science and engineering (CMMSE-2004). Selected papers based on the presentation at the conference, Uppsala, Sweden, June 4–8, 2004. Zbl 1093.65508
6
2006
A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation. Zbl 1415.65156
Shokri, Ali; Vigo-Aguiar, Jesús; Khalsaraei, Mohammad Mehdizadeh; Garcia-Rubio, Raquel
5
2019
Special issue: Advances in computational and mathematical methods in science and engineering (CMMSE 2009). Selected papers based on the presentations at the conference, Gijón, Spain, June 26–July 1, 2009. Zbl 1213.65013
5
2011
Modification of the Richardson-Panovsky methods for precise integration of satellite orbits. Zbl 1179.70006
Vigo-Aguiar, J.; Richardson, D. L.
5
2003
Multistep numerical methods for the integration of oscillatory problems in several frequencies. Zbl 1167.65400
García-Alonso, F.; Reyes, J. A.; Ferrándiz, J. M.; Vigo-Aguiar, J.
5
2009
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
5
2014
A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems. Zbl 07444605
Kumar, Sunil; Sumit; Vigo-Aguiar, Jesus
5
2022
Accurate numerical integration of perturbed oscillatory systems in two frequencies. Zbl 1364.65281
García-Alonso, Fernando; Reyes, José A.; Ferrándiz, José M.; Vigo-Aguiar, Jesús
4
2009
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
4
2007
Numerical solution of time-fractional singularly perturbed convection-diffusion problems with a delay in time. Zbl 1473.65259
Kumar, Kamalesh; Chakravarthy P., Pramod; Vigo-Aguiar, J.
4
2021
Special issue: Recent advances in computational and applied mathematics in science and engineering. Selected papers based on the presentations at the 6th international conference, Madrid, Spain, September 2006. Zbl 1146.65310
4
2008
Selected papers on computational and mathematical methods in science and engineering (CMMSE). Zbl 1298.00210
4
2013
Mathematical and computational tools in theoretical chemistry. Zbl 1407.92006
Vigo-Aguiar, J.; Brändas, E. J.
4
2010
High order Bessel fitting methods for the numerical integration of the Schrödinger equation. Zbl 1064.65058
Vigo-Aguiar, Jesús
3
2001
Encke methods adapted to regularizing variables. Zbl 0970.70014
Vigo-Aguiar, Jesús; Ferrándiz, José M.; Simos, Theodore E.
3
2000
Backward differentiation formulae adapted to scalar linear equations. Zbl 0974.65072
Vigo-Aguiar, J.; Andrés-Pérez, F.
3
2001
A note on the step size selection in Adams multistep methods. Zbl 0991.65070
Calvo, Manuel; Vigo-Aguiar, Jesús
3
2001
Periodics orbits and \(\mathcal{C}^{1}\)-integrability in the planar Stark-Zeeman problem. Zbl 1278.81162
de Bustos, María T.; Guirao, Juan L. G.; Vera, Juan A.; Vigo-Aguiar, Jesús
3
2012
Applied differential equations and related computational mathematics in chemistry. Zbl 1296.00063
3
2014
Current computational tools for science engineering and economics at CMMSE. Zbl 1360.00105
2
2017
A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions. Zbl 1432.65093
Shokri, Ali; Vigo-Aguiar, Jesús; Khalsaraei, Mohammad Mehdizadeh; Garcia-Rubio, Raquel
2
2019
A note on step-size selection in the Störmer-Cowell methods. Zbl 1063.65071
Ramos, Higinio; Vigo-Aguiar, Jesús
2
2005
An infinite family of second order weak explicit Runge-Kutta methods. Zbl 1012.65004
Vigo-Aguiar, J.; Tocino, A.
2
2001
Decomposition of pseudo-radioactive chemical products with a mathematical approach. Zbl 1296.92254
de Bustos Muñoz, M. Teresa; Guirao, Juan L. G.; Vigo-Aguiar, Jesús
2
2014
Stochastic methods for Dirichlet problems. Zbl 1084.65011
Vigo-Aguiar, J.; Ardanuy-Albajar, R.; Wade, Bruce A.
2
2005
Computer science and mathematics for chemistry-related applications. [Guest editorial to the special issue: Recent advances in computational chemistry – CMMSE 2010 and CMMSE 2011]. Held in Alicante, June 26–30, 2011. Zbl 1366.92137
Vigo-Aguiar, Jesús; Hamilton, Ian; Gray, Stephen K.
2
2012
Analysis of a nonlinear singularly perturbed Volterra integro-differential equation. Zbl 1481.65271
Sumit; Kumar, Sunil; Vigo-Aguiar, Jesus
2
2022
A new implicit six-step P-stable method for the numerical solution of Schrödinger equation. Zbl 1480.65170
Shokri, Ali; Vigo-Aguiar, Jesús; Mehdizadeh Khalsaraei, Mohammad; Garcia-Rubio, Raquel
2
2020
Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points. Zbl 1427.65153
Clavero, C.; Vigo-Aguiar, J.
1
2018
Special issue: Selected papers of CMMSE. Zbl 1427.00080
1
2019
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
Explicit finite difference schemes adapted to advection-reaction equations. Zbl 1142.65071
Martín-Vaquero, J.; Vigo-Aguiar, J.
1
2008
Mathematical and computational tools in chemistry: CMMSE–2014. Zbl 1316.00058
1
2015
Variable step-size Störmer methods. Zbl 1032.65519
Ramos, H.; Vigo-Aguiar, J.
1
2003
An efficient parallel algorithm for the numerical solution of Schrödinger equation. Zbl 1044.81554
Vigo-Aguiar, Jesús; Quintales, Luis M.; Natesan, Srinivasan
1
2001
Foreword for the special issue on CMMSE 2017. Zbl 1401.00046
1
2018
Editorial: Recent trends on computational and mathematical methods in science and engineering (CMMSE). Zbl 1298.00359
1
2015
New optimization techniques in engineering. Zbl 1311.90004
1
2013
Special issue: The international conference of computational methods in sciences and engineering 2003 (ICCMSE 2003), Kastoria, Greece, September 12–16, 2003. Zbl 1093.65506
1
2005
Mathematical and computational methods with applications in chemistry and physics. Zbl 1407.92003
Alonso, Pedro; Hamilton, Ian P.; Vigo-Aguiar, J.
1
2010
A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms. Zbl 07444599
Shakti, Deepti; Mohapatra, Jugal; Das, Pratibhamoy; Vigo-Aguiar, Jesus
8
2022
A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems. Zbl 07444605
Kumar, Sunil; Sumit; Vigo-Aguiar, Jesus
5
2022
Analysis of a nonlinear singularly perturbed Volterra integro-differential equation. Zbl 1481.65271
Sumit; Kumar, Sunil; Vigo-Aguiar, Jesus
2
2022
Numerical solution of time-fractional singularly perturbed convection-diffusion problems with a delay in time. Zbl 1473.65259
Kumar, Kamalesh; Chakravarthy P., Pramod; Vigo-Aguiar, J.
4
2021
Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature. Zbl 1448.65075
Das, Pratibhamoy; Rana, Subrata; Vigo-Aguiar, Jesus
24
2020
A new implicit six-step P-stable method for the numerical solution of Schrödinger equation. Zbl 1480.65170
Shokri, Ali; Vigo-Aguiar, Jesús; Mehdizadeh Khalsaraei, Mohammad; Garcia-Rubio, Raquel
2
2020
Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter. Zbl 1415.65166
Das, Pratibhamoy; Vigo-Aguiar, Jesus
32
2019
A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation. Zbl 1415.65156
Shokri, Ali; Vigo-Aguiar, Jesús; Khalsaraei, Mohammad Mehdizadeh; Garcia-Rubio, Raquel
5
2019
A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions. Zbl 1432.65093
Shokri, Ali; Vigo-Aguiar, Jesús; Khalsaraei, Mohammad Mehdizadeh; Garcia-Rubio, Raquel
2
2019
Special issue: Selected papers of CMMSE. Zbl 1427.00080
1
2019
Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points. Zbl 1427.65153
Clavero, C.; Vigo-Aguiar, J.
1
2018
Foreword for the special issue on CMMSE 2017. Zbl 1401.00046
1
2018
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.
14
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
Current computational tools for science engineering and economics at CMMSE. Zbl 1360.00105
2
2017
On the choice of the frequency in trigonometrically-fitted methods for periodic problems. Zbl 1302.65161
Vigo-Aguiar, Jesús; Ramos, Higinio
26
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
Mathematical and computational tools in chemistry: CMMSE–2014. Zbl 1316.00058
1
2015
Editorial: Recent trends on computational and mathematical methods in science and engineering (CMMSE). Zbl 1298.00359
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
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
5
2014
Applied differential equations and related computational mathematics in chemistry. Zbl 1296.00063
3
2014
Decomposition of pseudo-radioactive chemical products with a mathematical approach. Zbl 1296.92254
de Bustos Muñoz, M. Teresa; Guirao, Juan L. G.; Vigo-Aguiar, Jesús
2
2014
Selected papers on computational and mathematical methods in science and engineering (CMMSE). Zbl 1298.00210
4
2013
New optimization techniques in engineering. Zbl 1311.90004
1
2013
Periodics orbits and \(\mathcal{C}^{1}\)-integrability in the planar Stark-Zeeman problem. Zbl 1278.81162
de Bustos, María T.; Guirao, Juan L. G.; Vera, Juan A.; Vigo-Aguiar, Jesús
3
2012
Computer science and mathematics for chemistry-related applications. [Guest editorial to the special issue: Recent advances in computational chemistry – CMMSE 2010 and CMMSE 2011]. Held in Alicante, June 26–30, 2011. Zbl 1366.92137
Vigo-Aguiar, Jesús; Hamilton, Ian; Gray, Stephen K.
2
2012
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
11
2011
Special issue: Advances in computational and mathematical methods in science and engineering (CMMSE 2009). Selected papers based on the presentations at the conference, Gijón, Spain, June 26–July 1, 2009. Zbl 1213.65013
5
2011
On the frequency choice in trigonometrically fitted methods. Zbl 1197.65082
Ramos, Higinio; Vigo-Aguiar, J.
49
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.
23
2010
Mathematical and computational tools in theoretical chemistry. Zbl 1407.92006
Vigo-Aguiar, J.; Brändas, E. J.
4
2010
Mathematical and computational methods with applications in chemistry and physics. Zbl 1407.92003
Alonso, Pedro; Hamilton, Ian P.; Vigo-Aguiar, J.
1
2010
On the numerical solution of the heat conduction equations subject to nonlocal conditions. Zbl 1167.65423
Martín-Vaquero, J.; Vigo-Aguiar, J.
23
2009
A note on efficient techniques for the second-order parabolic equation subject to non-local conditions. Zbl 1167.65422
Martín-Vaquero, J.; Vigo-Aguiar, J.
15
2009
Multistep numerical methods for the integration of oscillatory problems in several frequencies. Zbl 1167.65400
García-Alonso, F.; Reyes, J. A.; Ferrándiz, J. M.; Vigo-Aguiar, J.
5
2009
Accurate numerical integration of perturbed oscillatory systems in two frequencies. Zbl 1364.65281
García-Alonso, Fernando; Reyes, José A.; Ferrándiz, José M.; Vigo-Aguiar, Jesús
4
2009
Exponential fitting BDF-Runge-Kutta algorithms. Zbl 1196.65118
Vigo-Aguiar, J.; Martín-Vaquero, J.; Ramos, H.
55
2008
Exponential fitted Gauss, Radau and Lobatto methods of low order. Zbl 1148.65059
Martín-Vaquero, J.; Vigo-Aguiar, J.
47
2008
A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems. Zbl 1138.65054
Ramos, Higinio; Vigo-Aguiar, Jesús
19
2008
Special issue: Recent advances in computational and applied mathematics in science and engineering. Selected papers based on the presentations at the 6th international conference, Madrid, Spain, September 2006. Zbl 1146.65310
4
2008
Explicit finite difference schemes adapted to advection-reaction equations. Zbl 1142.65071
Martín-Vaquero, J.; Vigo-Aguiar, J.
1
2008
Adapted BDF algorithms: Higher-order methods and their stability. Zbl 1125.65067
Martín-Vaquero, J.; Vigo-Aguiar, J.
47
2007
A family of A-stable Runge-Kutta collocation methods of higher order for initial-value problems. Zbl 1133.65049
Vigo-Aguiar, Jesús; Ramos, Higinio
23
2007
On smoothing of the Crank-Nicolson scheme and higher order schemes for pricing barrier options. Zbl 1137.91477
Wade, B. A.; Khaliq, A. Q. M.; Yousuf, M.; Vigo-Aguiar, J.; Deininger, R.
21
2007
High order smoothing schemes for inhomogeneous parabolic problems with applications in option pricing. Zbl 1130.91338
Khaliq, A. Q. M.; Wade, B. A.; Yousuf, M.; Vigo-Aguiar, J.
15
2007
A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations. Zbl 1113.65073
Ramos, Higinio; Vigo-Aguiar, Jesús
15
2007
Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.’s. Zbl 1117.65106
Ramos, Higinio; Vigo-Aguiar, Jesús
14
2007
Exponential fitting BDF algorithms and their properties. Zbl 1126.65060
Vigo-Aguiar, J.; Martín-Vaquero, J.
11
2007
Adapted BDF algorithms applied to parabolic problems. Zbl 1115.65064
Vigo-Aguiar, J.; Martín-Vaquero, J.; Wade, B. A.
7
2007
Numeric multistep variable methods for perturbed linear system integration. Zbl 1243.65086
Reyes, José Antonio; García-Alonso, F.; Ferrándiz, J. M.; Vigo-Aguiar, J.
6
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
4
2007
Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\). Zbl 1094.65071
Vigo-Aguiar, Jesús; Ramos, Higinio
44
2006
An efficient numerical method for singular perturbation problems. Zbl 1095.65068
Vigo-Aguiar, J.; Natesan, S.
38
2006
Exponential fitting BDF algorithms: explicit and implicit 0-stable methods. Zbl 1091.65074
Martín-Vaquero, J.; Vigo-Aguiar, J.
28
2006
A new eighth-order A-stable method for solving differential systems arising in chemical reactions. Zbl 1103.92057
Vigo-Aguiar, Jesús; Ramos, Higinio
7
2006
Special issue: Computational and mathematical methods in science and engineering (CMMSE-2004). Selected papers based on the presentation at the conference, Uppsala, Sweden, June 4–8, 2004. Zbl 1093.65508
6
2006
Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods. Zbl 1086.65120
Tocino, A.; Vigo-Aguiar, J.
69
2005
On the stability of exponential fitting BDF algorithms. Zbl 1063.65069
Vigo-Aguiar, J.; Martín-Vaquero, J.; Criado, R.
19
2005
Variable stepsize Störmer-Cowell methods. Zbl 1092.65060
Ramos, H.; Vigo-Aguiar, J.
18
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
Stochastic methods for Dirichlet problems. Zbl 1084.65011
Vigo-Aguiar, J.; Ardanuy-Albajar, R.; Wade, Bruce A.
2
2005
Special issue: The international conference of computational methods in sciences and engineering 2003 (ICCMSE 2003), Kastoria, Greece, September 12–16, 2003. Zbl 1093.65506
1
2005
A parallel boundary value technique for singularly perturbed two-point boundary value problems. Zbl 1070.65066
Vigo-Aguiar, J.; Natesan, S.
70
2004
Controlling the error growth in long-term numerical integration of perturbed oscillations in one or several frequencies. Zbl 1041.65058
Vigo-Aguiar, J.; Simos, T. E.; Ferrándiz, J. M.
37
2004
Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations. Zbl 1042.65053
Vigo-Aguiar, Jesús; Ramos, Higinio
71
2003
A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems. Zbl 1196.65123
Simos, T. E.; Vigo-Aguiar, Jesus
62
2003
Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers. Zbl 1033.65061
Natesan, S.; Jayakumar, J.; Vigo-Aguiar, J.
40
2003
A numerical algorithm for singular perturbation problems exhibiting weak boundary layers. Zbl 1036.65065
Natesan, S.; Vigo-Aguiar, J.; Ramanujam, N.
29
2003
Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002), Alicante, Spain, 20–25 September 2002. Zbl 1028.00531
20
2003
Modification of the Richardson-Panovsky methods for precise integration of satellite orbits. Zbl 1179.70006
Vigo-Aguiar, J.; Richardson, D. L.
5
2003
Variable step-size Störmer methods. Zbl 1032.65519
Ramos, H.; Vigo-Aguiar, J.
1
2003
Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation. Zbl 1002.65078
Simos, T. E.; Vigo-Aguiar, Jesus
82
2002
Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation. Zbl 1014.81055
Vigo-Aguiar, J.; Simos, T. E.
81
2002
Weak second order conditions for stochastic Runge-Kutta methods. Zbl 1025.65011
Tocino, A.; Vigo-Aguiar, J.
33
2002
A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 1003.65082
Simos, T. E.; Aguiar, Jesus Vigo
87
2001
A parallel ODE solver adapted to oscillatory problems. Zbl 0992.65079
Vigo-Aguiar, J.; Quintales, L. M.
36
2001
A modified Runge–Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems. Zbl 1064.65069
Simos, T. E.; Aguiar, Jesús Vigo
29
2001
An exponentially-fitted high order method for long-term integration of periodic initial-value problems. Zbl 0991.65063
Simos, T. E.; Vigo-Aguiar, Jesus
25
2001
High order Bessel fitting methods for the numerical integration of the Schrödinger equation. Zbl 1064.65058
Vigo-Aguiar, Jesús
3
2001
Backward differentiation formulae adapted to scalar linear equations. Zbl 0974.65072
Vigo-Aguiar, J.; Andrés-Pérez, F.
3
2001
A note on the step size selection in Adams multistep methods. Zbl 0991.65070
Calvo, Manuel; Vigo-Aguiar, Jesús
3
2001
An infinite family of second order weak explicit Runge-Kutta methods. Zbl 1012.65004
Vigo-Aguiar, J.; Tocino, A.
2
2001
An efficient parallel algorithm for the numerical solution of Schrödinger equation. Zbl 1044.81554
Vigo-Aguiar, Jesús; Quintales, Luis M.; Natesan, Srinivasan
1
2001
An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems. Zbl 0982.65079
Avdelas, G.; Simos, T. E.; Vigo-Aguiar, J.
28
2000
A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems. Zbl 0985.65084
Simos, T. E.; Aguiar, Jesus Vigo
28
2000
Encke methods adapted to regularizing variables. Zbl 0970.70014
Vigo-Aguiar, Jesús; Ferrándiz, José M.; Simos, Theodore E.
3
2000
An approach to variable coefficients multistep methods for special differential equations. Zbl 1171.65411
Vigo-Aguiar, Jesús
10
1999
A general procedure for the adaptation of multistep algorithms to the integration of oscillatory problems. Zbl 0916.65081
Vigo-Aguiar, Jesus; Ferrándiz, José M.
71
1998
Analysis of a numerical dynamic programming algorithm applied to economic models. Zbl 1010.90091
Santos, Manuel S.; Vigo-Aguiar, Jesús
37
1998
VSVO multistep formulae adapted to perturbed second-order differential equations. Zbl 0932.65087
Vigo-Aguiar, J.; Ferrándiz, J. M.
9
1998
all top 5

Cited by 734 Authors

159 Simos, Theodore E.
50 Vigo-Aguiar, Jesus
40 Ramos, Higinio
29 Alolyan, Ibraheem
28 Fang, Yonglei
27 You, Xiong
19 Anastassi, Zacharias A.
19 Jator, Samuel N.
18 Martín-Vaquero, Jesús
17 Li, Jiyong
15 Wu, Xinyuan
14 Lin, Chialiang
13 Natesan, Srinivasan
12 Franco, J. Méndez
12 Medvedev, Maxim A.
11 Garcia-Rubio, Raquel
11 Van de Vyver, Hans
11 Wang, Bin
10 Grüne, Lars
9 Das, Pratibhamoy
9 Kumar, Sunil
9 Rößler, Andreas
9 Wade, Bruce A.
8 Kalogiratou, Zacharoula
8 Khalsaraei, Mohammad Mehdizadeh
8 Rández, Luis
7 Bayón, Luis
7 García Guirao, Juan Luis
7 Liu, Chenglian
7 Medvedeva, Marina A.
7 Okunuga, Solomon A.
7 Yang, Yanping
6 Ismail, Fudziah Bt.
6 Khaliq, Abdul Q. M.
6 Macías-Díaz, Jorge Eduardo
6 Panopoulos, G. A.
6 Ruiz, Maria M.
6 Semmler, Willi
6 Suárez, Pedro Maria
6 Sumit, S.
6 Van Daele, Marnix
6 Yousuf, Muhammad Irfan
6 Zheng, Juan
5 Calvo, Manuel
5 Cen, Zhongdi
5 Debrabant, Kristian
5 Ehigie, Julius Osato
5 Fedorov, Ruslan V.
5 García-Alonso, Fernando
5 Grau, José María
5 Komori, Yoshio
5 Kosti, Athinoula A.
5 Kovalnogov, Vladislav N.
5 Kumar Mishra, Hradyesh
5 Liu, Shiwei
5 Mohapatra, Jugal
5 Reyes, José Antonio
5 Rufai, Mufutau Ajani
5 Senu, Norazak
5 Shi, Wei
5 Tamilselvan, Ayyadurai
5 Vlachos, D. S.
5 Zhang, Ruqiang
4 Abdulganiy, Ridwanulahi Iyanda
4 Alonso, Pedro
4 Berg, Dmitry B.
4 Biala, Toheeb A.
4 Chen, Zhaoxia
4 Demiralp, Metin
4 Duressa, Gemechis File
4 Geng, Fazhan
4 Kleefeld, B.
4 Konguetsof, Avrilia
4 Liu, Chein-Shan
4 Liu, Li-Bin
4 López, Miguel Ángel
4 Ming, Qinghe
4 Ngwane, Fidele F.
4 Singh, Gurjinder
4 Singh, Satpal
4 Tocino, Alicia
4 Wang, Xianfen
4 Yang, Hongli
3 Abass, Rustam
3 Ashyralyev, Allaberen
3 Ballestra, Luca Vincenzo
3 Bawa, Rajesh Kumar
3 Bu, Sunyoung
3 Chandru, M.
3 Chen, Bingzhen
3 Čiegis, Raimondas
3 D’Ambrosio, Raffaele
3 Deng, Shuo
3 Ferrándiz, José Manuel
3 Geetha, Neelamegam
3 Guo, Ben-Yu
3 Huang, Jian
3 Kellett, Christopher M.
3 Kim, Philsu
3 Mirman, Leonard J.
...and 634 more Authors
all top 5

Cited in 111 Serials

176 Journal of Mathematical Chemistry
91 Journal of Computational and Applied Mathematics
52 Applied Mathematics and Computation
43 International Journal of Computer Mathematics
32 Numerical Algorithms
21 Computer Physics Communications
19 Computers & Mathematics with Applications
17 Applied Numerical Mathematics
15 Computational and Applied Mathematics
12 Mathematics and Computers in Simulation
12 International Journal of Applied and Computational Mathematics
10 Applied Mathematics Letters
9 BIT
9 Journal of Applied Mathematics and Computing
8 Journal of Economic Dynamics & Control
8 Abstract and Applied Analysis
7 International Journal of Modern Physics C
7 Journal of Applied Mathematics
6 Journal of Computational Physics
6 Mediterranean Journal of Mathematics
5 Mathematical Problems in Engineering
4 Journal of Mathematical Physics
4 Calcolo
4 Journal of Mathematical Economics
4 Applied Mathematics and Mechanics. (English Edition)
4 Journal of the Nigerian Mathematical Society
4 Mathematical and Computer Modelling
4 Advances in Engineering Software
4 International Journal of Differential Equations
3 Chaos, Solitons and Fractals
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Economic Theory
3 Journal of Optimization Theory and Applications
3 Numerical Methods for Partial Differential Equations
3 Journal of Scientific Computing
3 Applied Mathematical Modelling
3 Computational Economics
3 Journal of Difference Equations and Applications
3 Communications in Nonlinear Science and Numerical Simulation
3 Advances in Difference Equations
3 Afrika Matematika
3 Cogent Mathematics
2 Physica A
2 Automatica
2 Numerical Functional Analysis and Optimization
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Mathematical Modelling and Analysis
2 International Journal of Computational Methods
2 Boundary Value Problems
2 AIMS Mathematics
1 Applicable Analysis
1 Astrophysics and Space Science
1 International Journal of Control
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Physics Reports
1 Molecular Simulation
1 Journal of Econometrics
1 Kybernetika
1 Kyungpook Mathematical Journal
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 European Journal of Operational Research
1 Applied and Computational Harmonic Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Turkish Journal of Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Engineering Analysis with Boundary Elements
1 Mathematical Communications
1 Computing and Visualization in Science
1 Soft Computing
1 Journal of Inequalities and Applications
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 International Journal of Theoretical and Applied Finance
1 Communications of the Korean Mathematical Society
1 Computational Geosciences
1 Journal of Dynamical and Control Systems
1 Qualitative Theory of Dynamical Systems
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Quantitative Finance
1 Discrete and Continuous Dynamical Systems. Series B
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
1 Journal of Numerical Mathematics
1 Journal of Analysis and Applications
1 Hacettepe Journal of Mathematics and Statistics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Computational Management Science
1 Mathematical Biosciences and Engineering
1 Differential Equations & Nonlinear Mechanics
1 Computational & Mathematical Methods in Medicine
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Proceedings of the Estonian Academy of Sciences
1 Advances in Differential Equations and Control Processes
1 Science China. Mathematics
1 GEM - International Journal on Geomathematics
...and 11 more Serials
all top 5

Cited in 35 Fields

603 Numerical analysis (65-XX)
233 Ordinary differential equations (34-XX)
102 Quantum theory (81-XX)
96 Partial differential equations (35-XX)
46 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
41 Probability theory and stochastic processes (60-XX)
28 Dynamical systems and ergodic theory (37-XX)
28 Biology and other natural sciences (92-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
19 Fluid mechanics (76-XX)
16 Mechanics of particles and systems (70-XX)
14 Approximations and expansions (41-XX)
14 Operations research, mathematical programming (90-XX)
11 Integral equations (45-XX)
11 Systems theory; control (93-XX)
9 General and overarching topics; collections (00-XX)
9 Real functions (26-XX)
7 Operator theory (47-XX)
7 Classical thermodynamics, heat transfer (80-XX)
7 Statistical mechanics, structure of matter (82-XX)
5 Special functions (33-XX)
4 Computer science (68-XX)
3 Functions of a complex variable (30-XX)
3 Statistics (62-XX)
3 Mechanics of deformable solids (74-XX)
3 Information and communication theory, circuits (94-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Optics, electromagnetic theory (78-XX)
2 Geophysics (86-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year