×
Compute Distance To:
Author ID: vazquez.luis Recent zbMATH articles by "Vázquez, Luis"
Published as: Vazquez, L.; Vázquez, L.
External Links: ORCID
Documents Indexed: 85 Publications since 1978, including 2 Books
2 Contributions as Editor
Reviewing Activity: 190 Reviews
Co-Authors: 2 Co-Authors with 3 Joint Publications
8 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

64 Publications have been cited 1,101 times in 20 Documents Cited by Year
Numerical solution of a nonlinear Klein-Gordon equation. Zbl 0387.65076
Strauss, Walter; Vazquez, Luis
135
1978
Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme. Zbl 0832.65136
Zhang, Fei; Pérez-García, Víctor M.; Vázquez, Luis
105
1995
Numerical solution of the sine-Gordon equation. Zbl 0622.65131
Guo, Benyu; Pascual, Pedro J.; Rodriguez, María J.; Vázquez, Luis
93
1986
Two energy conserving numerical schemes for the sine-Gordon equation. Zbl 0732.65107
Fei, Zhang; Vázquez, Luis
83
1991
Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103
Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye
76
2013
Analysis of four numerical schemes for a nonlinear Klein-Gordon equation. Zbl 0697.65090
Jiménez, Salvador; Vázquez, Luis
60
1990
Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117
Cazenave, Thierry; Vazquez, Luis
59
1986
Fractional dynamics of populations. Zbl 1226.92060
Rivero, Margarita; Trujillo, Juan J.; Vázquez, Luis; Velasco, M. Pilar
43
2011
Symplectic methods for the nonlinear Schrödinger equation. Zbl 0858.65124
Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M.
42
1996
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
39
1990
Nonlinear random waves. Zbl 1058.76500
Konotop, Vladimir V.; Vázquez, Luis
33
1994
A Legendre spectral method for solving the nonlinear Klein-Gordon equation. Zbl 0856.65117
Guo, Ben-Yu; Li, Xun; Vázquez, Luis
25
1996
Fractional heat equation and the second law of thermodynamics. Zbl 1273.80002
Vázquez, Luis; Trujillo, Juan J.; Velasco, M. Pilar
22
2011
Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141
Huang, Jianfei; Tang, Yifa; Vázquez, Luis
21
2012
Numerical solution of two-dimensional Fokker-Planck equations. Zbl 1083.82526
Zorzano, M. P.; Mais, H.; Vazquez, L.
16
1999
On the solution of fractional evolution equations. Zbl 1059.35030
Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis
16
2004
The numerical study of a nonlinear one-dimensional Dirac equation. Zbl 0525.65071
Alvarez, A.; Kuo, Pen-Yu; Vazquez, Luis
15
1983
Special polynomials and fractional calculus. Zbl 1081.33011
Dattoli, G.; Ricci, P. E.; Cesarano, C.; Vázquez, L.
14
2003
Stability under dilations of nonlinear spinor fields. Zbl 1222.81167
Strauss, Walter A.; Vázquez, Luis
14
1986
Numerical solution of a nonlinear wave equation in polar coordinates. Zbl 0542.65068
Kuo, Pen-yu; Vázquez, Luis
13
1984
Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation. Zbl 0960.78015
Gilles, L.; Hagness, S. C.; Vázquez, L.
13
2000
Operational results on bi-orthogonal Hermite functions. Zbl 1349.42053
Cesarano, C.; Fornaro, C.; Vazquez, L.
12
2016
Symplectic methods for the Ablowitz-Ladik model. Zbl 0870.65115
Tang, Yi-Fa; Pérez-García, Víctor M.; Vázquez, Luis
12
1997
Numerical simulations of a nonlinear Klein-Gordon model. Applications. Zbl 0872.65079
Pascual, P. J.; Jiménez, S.; Vázquez, L.
11
1995
From Newton’s equation to fractional diffusion and wave equations. Zbl 1213.26012
Vázquez, Luis
10
2011
Emergence of synchronous oscillations in neural networks excited by noise. Zbl 1018.92005
Zorzano, M. P.; Vázquez, L.
9
2003
Some conservative numerical schemes for an ordinary differential equation. Zbl 0743.65065
Fei, Zhang; Vázquez, Luis
9
1991
A fruitful interplay: from nonlocality to fractional calculus. Zbl 1099.35543
Vázquez, L.
9
2004
A panoramic view of some perturbed nonlinear wave equations. Zbl 1063.65082
Jiménez, S.; Pascual, P.; Aguierre, C.; Vázquez, L.
7
2004
Numerical solution for Fokker-Planck equations in accelerators. Zbl 0962.82055
Zorzano, M. P.; Mais, H.; Vazquez, L.
7
1998
Fractionally coupled solutions of the diffusion equation. Zbl 1047.35050
Vázquez, Luis; Vilela Mendes, Rui
6
2003
On the stability of solitary waves for classical scalar fields. Zbl 0649.35076
Blanchard, Ph.; Stubbe, J.; Vázquez, L.
5
1987
Existence of localized solutions for certain model field theories. Zbl 0459.35085
Strauss, Walter A.; Vazquez, Luis
5
1981
The dynamical nature of a backlash system with and without fluid friction. Zbl 1177.70029
Mendes, R. Vilela; Vázquez, Luis
5
2007
A numerical scheme for the simulation of blow-up in the nonlinear Schrödinger equation. Zbl 1023.65094
Jiménez, Salvador; Llorente, Ignacio M.; Mancho, Ana M.; Pérez-García, Víctor M.; Vázquez, Luis
4
2003
Fractional diffusion equations with internal degrees of freedom. Zbl 1050.35128
Vázquez, Luis
4
2003
On the fractional Newton and wave equation in one space dimension. Zbl 1449.35451
Velasco, M. P.; Vázquez, L.
4
2014
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
3
1989
Finite time extinction for nonlinear fractional evolution equations and related properties. Zbl 06637309
Dıaz, Jesús Ildefonso; Pierantozzi, Teresa; Vázquez, Luis
3
2016
Finite-difference schemes and time-ordering corrections. Zbl 0945.65102
Dattoli, G.; Quattromini, M.; Torre, A.; Vázquez, L.
3
1998
Fractional Duffing’s equation and geometrical resonance. Zbl 1270.34071
Jiménez, S.; González, J. A.; Vázquez, L.
3
2013
Motion of a charge in a magnetic dipole field. I: Painlevé analysis and a conservative numerical scheme. Zbl 0669.65087
Vázquez, Luis; Jiménez, Salvador
2
1988
Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation. Zbl 1331.35215
Velasco, M. Pilar; Usero, David; Jiménez, Salvador; Vázquez, Luis
2
2015
Proceedings of the 3rd conference on localization and energy transfer in nonlinear systems, San Lorenzo de El Escorial, Spain, June 17–21, 2002. Zbl 1020.00014
2
2003
Numerical integration of the discrete-ordinate radiative transfer equation in strongly non-homogeneous media. Zbl 1067.65152
Zorzano, M.-P.; Mancho, A. M.; Vázquez, L.
2
2005
Numerical solutions of the Maxwell-Bloch laser equations. Zbl 0866.65086
Guo, Ben-Yu; Martín, I.; Pérez-García, Victor M.; Vázquez, Luis
2
1996
A panoramic view on kink-impurity interactions in the sine-Gordon and \(\phi^ 4\) models. Zbl 0878.65112
Zhang, Fei; Kivshar, Yuri S.; Vazquez, Luis
2
1993
Decay of localization effects by nonlinearity in disordered systems. Zbl 0825.35087
Kivshar, Yu. S.; Gredeskul, S. A.; Sánchez, A.; Vázquez
2
1990
Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations. Zbl 1374.35333
González, J. A.; Bellorín, A.; García-Ñustes, M. A.; Guerrero, L. E.; Jiménez, S.; Vázquez, L.
2
2017
Fractional calculus as a modeling framework. Zbl 1391.26025
Vázquez, Luis; Velasco, María Pilar; Usero, David; Jiménez, Salvador
2
2018
Nonlinear plane waves in the Klein-Gordon-Maxwell field theory. Zbl 0799.35203
Jiménez, Salvador; Vázquez, Luis
2
1993
Existence and stability of travelling waves in \((1+1)\) dimensions. Zbl 0713.35083
Rodríguez Plaza, M. J.; Stubbe, J.; Vázquez, L.
1
1990
A numerical scheme for one-dimensional mechanical problems. Zbl 0617.70006
Pascual, Pedro J.; Vázquez, Luis
1
1986
Resonance phenomena in soliton-impurity interactions. Zbl 0900.35334
Zhang, Fei; Kivshar, Yuri S.; Vázquez, Luis
1
1993
Efficient shooting algorithms for solving the nonlinear one-dimensional scalar Helmholtz equation. Zbl 0943.65087
Jiménez, S.; Bulgakov, S.; Vázquez, L.
1
1998
Some aspects about the scalability of scientific applications on parallel architectures. Zbl 0875.68185
Llorente, Ignacio Martín; Tirado, Francisco; Vázquez, Luis
1
1996
Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems: theory and applications, Madrid, Spain, September 25–30, 1995. Zbl 0901.00040
1
1996
Diffusion of intrinsic localized modes by attractor hopping. Zbl 1052.34065
Meister, Matthias; Vázquez, Luis
1
2003
A nonlinear Schrödinger equation with magnetic field effect: Solitary waves with internal rotation. Zbl 0737.35117
Stubbe, Joachim; Vázquez, Luis
1
1989
Modeling and simulation of the atmospheric dust dynamics: fractional calculus and cloud computing. Zbl 1407.35220
Vázquez, Luis; Pilar Velasco, M.; Vázquez-Poletti, José Luis; Llorente, Ignacio M.; Usero, David; Jiménez, Salvador
1
2018
Fractional calculus framework to avoid singularities of differential equations. Zbl 1177.26012
Rodríguez-Germá, Luis; Trujillo, Juan J.; Vázquez, Luis; Pilar Velasco, M.
1
2008
Singularity analysis of a nonlinear fractional differential equation. Zbl 1129.35480
Vázquez, Luis
1
2005
Nonlinear plane wave solutions in the semiclassical Maxwell-Bloch laser equations. Zbl 0797.35154
Pastor, I.; Pérez García, V. M.; Encinas Sanz, F.; Guerra, J. M.; Vázquez, L.
1
1993
Fate of the true-vacuum bubbles. Zbl 07460443
González, Jorge A.; Bellorín, A.; García-Ñustes, Mónica A.; Guerrero, L. E.; Jiménez, S.; Marín, Juan F.; Vázquez, L.
1
2018
Fractional calculus as a modeling framework. Zbl 1391.26025
Vázquez, Luis; Velasco, María Pilar; Usero, David; Jiménez, Salvador
2
2018
Modeling and simulation of the atmospheric dust dynamics: fractional calculus and cloud computing. Zbl 1407.35220
Vázquez, Luis; Pilar Velasco, M.; Vázquez-Poletti, José Luis; Llorente, Ignacio M.; Usero, David; Jiménez, Salvador
1
2018
Fate of the true-vacuum bubbles. Zbl 07460443
González, Jorge A.; Bellorín, A.; García-Ñustes, Mónica A.; Guerrero, L. E.; Jiménez, S.; Marín, Juan F.; Vázquez, L.
1
2018
Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations. Zbl 1374.35333
González, J. A.; Bellorín, A.; García-Ñustes, M. A.; Guerrero, L. E.; Jiménez, S.; Vázquez, L.
2
2017
Operational results on bi-orthogonal Hermite functions. Zbl 1349.42053
Cesarano, C.; Fornaro, C.; Vazquez, L.
12
2016
Finite time extinction for nonlinear fractional evolution equations and related properties. Zbl 06637309
Dıaz, Jesús Ildefonso; Pierantozzi, Teresa; Vázquez, Luis
3
2016
Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation. Zbl 1331.35215
Velasco, M. Pilar; Usero, David; Jiménez, Salvador; Vázquez, Luis
2
2015
On the fractional Newton and wave equation in one space dimension. Zbl 1449.35451
Velasco, M. P.; Vázquez, L.
4
2014
Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103
Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye
76
2013
Fractional Duffing’s equation and geometrical resonance. Zbl 1270.34071
Jiménez, S.; González, J. A.; Vázquez, L.
3
2013
Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141
Huang, Jianfei; Tang, Yifa; Vázquez, Luis
21
2012
Fractional dynamics of populations. Zbl 1226.92060
Rivero, Margarita; Trujillo, Juan J.; Vázquez, Luis; Velasco, M. Pilar
43
2011
Fractional heat equation and the second law of thermodynamics. Zbl 1273.80002
Vázquez, Luis; Trujillo, Juan J.; Velasco, M. Pilar
22
2011
From Newton’s equation to fractional diffusion and wave equations. Zbl 1213.26012
Vázquez, Luis
10
2011
Fractional calculus framework to avoid singularities of differential equations. Zbl 1177.26012
Rodríguez-Germá, Luis; Trujillo, Juan J.; Vázquez, Luis; Pilar Velasco, M.
1
2008
The dynamical nature of a backlash system with and without fluid friction. Zbl 1177.70029
Mendes, R. Vilela; Vázquez, Luis
5
2007
Numerical integration of the discrete-ordinate radiative transfer equation in strongly non-homogeneous media. Zbl 1067.65152
Zorzano, M.-P.; Mancho, A. M.; Vázquez, L.
2
2005
Singularity analysis of a nonlinear fractional differential equation. Zbl 1129.35480
Vázquez, Luis
1
2005
On the solution of fractional evolution equations. Zbl 1059.35030
Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis
16
2004
A fruitful interplay: from nonlocality to fractional calculus. Zbl 1099.35543
Vázquez, L.
9
2004
A panoramic view of some perturbed nonlinear wave equations. Zbl 1063.65082
Jiménez, S.; Pascual, P.; Aguierre, C.; Vázquez, L.
7
2004
Special polynomials and fractional calculus. Zbl 1081.33011
Dattoli, G.; Ricci, P. E.; Cesarano, C.; Vázquez, L.
14
2003
Emergence of synchronous oscillations in neural networks excited by noise. Zbl 1018.92005
Zorzano, M. P.; Vázquez, L.
9
2003
Fractionally coupled solutions of the diffusion equation. Zbl 1047.35050
Vázquez, Luis; Vilela Mendes, Rui
6
2003
A numerical scheme for the simulation of blow-up in the nonlinear Schrödinger equation. Zbl 1023.65094
Jiménez, Salvador; Llorente, Ignacio M.; Mancho, Ana M.; Pérez-García, Víctor M.; Vázquez, Luis
4
2003
Fractional diffusion equations with internal degrees of freedom. Zbl 1050.35128
Vázquez, Luis
4
2003
Proceedings of the 3rd conference on localization and energy transfer in nonlinear systems, San Lorenzo de El Escorial, Spain, June 17–21, 2002. Zbl 1020.00014
2
2003
Diffusion of intrinsic localized modes by attractor hopping. Zbl 1052.34065
Meister, Matthias; Vázquez, Luis
1
2003
Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation. Zbl 0960.78015
Gilles, L.; Hagness, S. C.; Vázquez, L.
13
2000
Numerical solution of two-dimensional Fokker-Planck equations. Zbl 1083.82526
Zorzano, M. P.; Mais, H.; Vazquez, L.
16
1999
Numerical solution for Fokker-Planck equations in accelerators. Zbl 0962.82055
Zorzano, M. P.; Mais, H.; Vazquez, L.
7
1998
Finite-difference schemes and time-ordering corrections. Zbl 0945.65102
Dattoli, G.; Quattromini, M.; Torre, A.; Vázquez, L.
3
1998
Efficient shooting algorithms for solving the nonlinear one-dimensional scalar Helmholtz equation. Zbl 0943.65087
Jiménez, S.; Bulgakov, S.; Vázquez, L.
1
1998
Symplectic methods for the Ablowitz-Ladik model. Zbl 0870.65115
Tang, Yi-Fa; Pérez-García, Víctor M.; Vázquez, Luis
12
1997
Symplectic methods for the nonlinear Schrödinger equation. Zbl 0858.65124
Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M.
42
1996
A Legendre spectral method for solving the nonlinear Klein-Gordon equation. Zbl 0856.65117
Guo, Ben-Yu; Li, Xun; Vázquez, Luis
25
1996
Numerical solutions of the Maxwell-Bloch laser equations. Zbl 0866.65086
Guo, Ben-Yu; Martín, I.; Pérez-García, Victor M.; Vázquez, Luis
2
1996
Some aspects about the scalability of scientific applications on parallel architectures. Zbl 0875.68185
Llorente, Ignacio Martín; Tirado, Francisco; Vázquez, Luis
1
1996
Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems: theory and applications, Madrid, Spain, September 25–30, 1995. Zbl 0901.00040
1
1996
Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme. Zbl 0832.65136
Zhang, Fei; Pérez-García, Víctor M.; Vázquez, Luis
105
1995
Numerical simulations of a nonlinear Klein-Gordon model. Applications. Zbl 0872.65079
Pascual, P. J.; Jiménez, S.; Vázquez, L.
11
1995
Nonlinear random waves. Zbl 1058.76500
Konotop, Vladimir V.; Vázquez, Luis
33
1994
A panoramic view on kink-impurity interactions in the sine-Gordon and \(\phi^ 4\) models. Zbl 0878.65112
Zhang, Fei; Kivshar, Yuri S.; Vazquez, Luis
2
1993
Nonlinear plane waves in the Klein-Gordon-Maxwell field theory. Zbl 0799.35203
Jiménez, Salvador; Vázquez, Luis
2
1993
Resonance phenomena in soliton-impurity interactions. Zbl 0900.35334
Zhang, Fei; Kivshar, Yuri S.; Vázquez, Luis
1
1993
Nonlinear plane wave solutions in the semiclassical Maxwell-Bloch laser equations. Zbl 0797.35154
Pastor, I.; Pérez García, V. M.; Encinas Sanz, F.; Guerra, J. M.; Vázquez, L.
1
1993
Two energy conserving numerical schemes for the sine-Gordon equation. Zbl 0732.65107
Fei, Zhang; Vázquez, Luis
83
1991
Some conservative numerical schemes for an ordinary differential equation. Zbl 0743.65065
Fei, Zhang; Vázquez, Luis
9
1991
Analysis of four numerical schemes for a nonlinear Klein-Gordon equation. Zbl 0697.65090
Jiménez, Salvador; Vázquez, Luis
60
1990
Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065
Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis
39
1990
Decay of localization effects by nonlinearity in disordered systems. Zbl 0825.35087
Kivshar, Yu. S.; Gredeskul, S. A.; Sánchez, A.; Vázquez
2
1990
Existence and stability of travelling waves in \((1+1)\) dimensions. Zbl 0713.35083
Rodríguez Plaza, M. J.; Stubbe, J.; Vázquez, L.
1
1990
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
3
1989
A nonlinear Schrödinger equation with magnetic field effect: Solitary waves with internal rotation. Zbl 0737.35117
Stubbe, Joachim; Vázquez, Luis
1
1989
Motion of a charge in a magnetic dipole field. I: Painlevé analysis and a conservative numerical scheme. Zbl 0669.65087
Vázquez, Luis; Jiménez, Salvador
2
1988
On the stability of solitary waves for classical scalar fields. Zbl 0649.35076
Blanchard, Ph.; Stubbe, J.; Vázquez, L.
5
1987
Numerical solution of the sine-Gordon equation. Zbl 0622.65131
Guo, Benyu; Pascual, Pedro J.; Rodriguez, María J.; Vázquez, Luis
93
1986
Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117
Cazenave, Thierry; Vazquez, Luis
59
1986
Stability under dilations of nonlinear spinor fields. Zbl 1222.81167
Strauss, Walter A.; Vázquez, Luis
14
1986
A numerical scheme for one-dimensional mechanical problems. Zbl 0617.70006
Pascual, Pedro J.; Vázquez, Luis
1
1986
Numerical solution of a nonlinear wave equation in polar coordinates. Zbl 0542.65068
Kuo, Pen-yu; Vázquez, Luis
13
1984
The numerical study of a nonlinear one-dimensional Dirac equation. Zbl 0525.65071
Alvarez, A.; Kuo, Pen-Yu; Vazquez, Luis
15
1983
Existence of localized solutions for certain model field theories. Zbl 0459.35085
Strauss, Walter A.; Vazquez, Luis
5
1981
Numerical solution of a nonlinear Klein-Gordon equation. Zbl 0387.65076
Strauss, Walter; Vazquez, Luis
135
1978

Citations by Year