Edit Profile (opens in new tab) Vázquez, Luis Compute Distance To: Compute Author ID: vazquez.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 all top 5 Co-Authors 9 single-authored 11 Jiménez, Salvador 7 Pérez-García, Víctor Manuel 6 Kivshar, Yuri S. 5 Stubbe, Joachim 5 Tang, Yifa 4 Sánchez, Angel 4 Trujillo, Juan J. 4 Zhang, Fei 3 Bellorín, A. 3 Cazenave, Thierry 3 González, Jorge A. 3 Guerrero, Laura Elena Morales 3 Guo, Ben-Yu 3 Llorente, Ignacio Martín 3 Pascual, Pedro J. 3 Rodríguez, María J. G. 3 Strauss, Walter Alexander 3 Usero, David 2 Blanchard, Philippe 2 Cesarano, Clemente 2 Dattoli, Giuseppe 2 García-Ñustes, Mónica A. 2 Gredeskul, Sergei A. 2 Huang, Jianfei 2 Kuo, Pen-yu 2 Mais, Helmut 2 Mendes, Rui Vilela 2 Pierantozzi, Teresa 2 Pilar Velasco, M. 2 Vazquez-Poletti, Jose Luis 2 Velasco, Maria Pilar 2 Zorzano, María Paz 1 Aguierre, C. 1 Bachiri, Hafid 1 Balabane, Mikhael 1 Chubykalo, Oskana 1 Diaz Diaz, Jesus Ildefonso 1 Encinas Sanz, F. 1 Fei, Zhang 1 Fornaro, Claudio 1 Fu, Jingli 1 Gilles, Luc 1 Guerra, João M. E. 1 Hagness, Susan C. 1 Haraux, Alain 1 Jiénez, S. 1 Kilbas, Anatoliĭ Aleksandrovich 1 Konotop, Vladimir V. 1 Kosevich, Arnold M. 1 Kozakevich, Daniel N. 1 Li, Xun 1 MacKay, Robert Sinclair 1 Malavasi, Matteo 1 Marín, Juan F. 1 Meister, Matthias 1 Pastor, Isabel 1 Porras, Miguel A. 1 Quattromini, Marcello 1 Ricci, Paolo Emilio 1 Rivero, Margarita 1 Rodriguez-Germá, Luis 1 Rodríguez Plaza, M. J. 1 Salazar-Bloise, F. 1 Streit, Ludwig 1 Tirado, Francisco 1 Torre, Amalia 1 Weissler, Fred B. 1 Yang, Jiye all top 5 Serials 15 Applied Mathematics and Computation 5 Journal of Physics A: Mathematical and General 4 Journal of Computational Mathematics 3 Journal of Computational Physics 3 Physics Letters. A 3 Physica D 2 Communications in Mathematical Physics 2 Hadronic Journal 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 Fractional Calculus & Applied Analysis 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Mathematical Physics 1 Waves in Random Media 1 Portugaliae Mathematica 1 Parallel Computing 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Acta Mathematica Universitatis Comenianae. New Series 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Matemática Aplicada e Computacional 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Nonlinear Dynamics 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Physical Review D. Series III 1 Journal of Cosmology and Astroparticle Physics 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Numerical Mathematics: Theory, Methods and Applications 1 Differential Equations and Applications 1 Nonlinear Systems and Complexity all top 5 Fields 52 Partial differential equations (35-XX) 37 Numerical analysis (65-XX) 12 Quantum theory (81-XX) 11 Real functions (26-XX) 10 Optics, electromagnetic theory (78-XX) 9 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Special functions (33-XX) 4 Fluid mechanics (76-XX) 4 Relativity and gravitational theory (83-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 1,101 times in 20 Documents Cited by ▼ Year ▼ Numerical solution of a nonlinear Klein-Gordon equation. Zbl 0387.65076Strauss, Walter; Vazquez, Luis 135 1978 Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme. Zbl 0832.65136Zhang, Fei; Pérez-García, Víctor M.; Vázquez, Luis 105 1995 Numerical solution of the sine-Gordon equation. Zbl 0622.65131Guo, Benyu; Pascual, Pedro J.; Rodriguez, María J.; Vázquez, Luis 93 1986 Two energy conserving numerical schemes for the sine-Gordon equation. Zbl 0732.65107Fei, Zhang; Vázquez, Luis 83 1991 Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye 76 2013 Analysis of four numerical schemes for a nonlinear Klein-Gordon equation. Zbl 0697.65090Jiménez, Salvador; Vázquez, Luis 60 1990 Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117Cazenave, Thierry; Vazquez, Luis 59 1986 Fractional dynamics of populations. Zbl 1226.92060Rivero, Margarita; Trujillo, Juan J.; Vázquez, Luis; Velasco, M. Pilar 43 2011 Symplectic methods for the nonlinear Schrödinger equation. Zbl 0858.65124Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M. 42 1996 Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis 39 1990 Nonlinear random waves. Zbl 1058.76500Konotop, Vladimir V.; Vázquez, Luis 33 1994 A Legendre spectral method for solving the nonlinear Klein-Gordon equation. Zbl 0856.65117Guo, Ben-Yu; Li, Xun; Vázquez, Luis 25 1996 Fractional heat equation and the second law of thermodynamics. Zbl 1273.80002Vázquez, Luis; Trujillo, Juan J.; Velasco, M. Pilar 22 2011 Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141Huang, Jianfei; Tang, Yifa; Vázquez, Luis 21 2012 Numerical solution of two-dimensional Fokker-Planck equations. Zbl 1083.82526Zorzano, M. P.; Mais, H.; Vazquez, L. 16 1999 On the solution of fractional evolution equations. Zbl 1059.35030Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis 16 2004 The numerical study of a nonlinear one-dimensional Dirac equation. Zbl 0525.65071Alvarez, A.; Kuo, Pen-Yu; Vazquez, Luis 15 1983 Special polynomials and fractional calculus. Zbl 1081.33011Dattoli, G.; Ricci, P. E.; Cesarano, C.; Vázquez, L. 14 2003 Stability under dilations of nonlinear spinor fields. Zbl 1222.81167Strauss, Walter A.; Vázquez, Luis 14 1986 Numerical solution of a nonlinear wave equation in polar coordinates. Zbl 0542.65068Kuo, Pen-yu; Vázquez, Luis 13 1984 Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation. Zbl 0960.78015Gilles, L.; Hagness, S. C.; Vázquez, L. 13 2000 Operational results on bi-orthogonal Hermite functions. Zbl 1349.42053Cesarano, C.; Fornaro, C.; Vazquez, L. 12 2016 Symplectic methods for the Ablowitz-Ladik model. Zbl 0870.65115Tang, Yi-Fa; Pérez-García, Víctor M.; Vázquez, Luis 12 1997 Numerical simulations of a nonlinear Klein-Gordon model. Applications. Zbl 0872.65079Pascual, P. J.; Jiménez, S.; Vázquez, L. 11 1995 From Newton’s equation to fractional diffusion and wave equations. Zbl 1213.26012Vázquez, Luis 10 2011 Emergence of synchronous oscillations in neural networks excited by noise. Zbl 1018.92005Zorzano, M. P.; Vázquez, L. 9 2003 Some conservative numerical schemes for an ordinary differential equation. Zbl 0743.65065Fei, Zhang; Vázquez, Luis 9 1991 A fruitful interplay: from nonlocality to fractional calculus. Zbl 1099.35543Vázquez, L. 9 2004 A panoramic view of some perturbed nonlinear wave equations. Zbl 1063.65082Jiménez, S.; Pascual, P.; Aguierre, C.; Vázquez, L. 7 2004 Numerical solution for Fokker-Planck equations in accelerators. Zbl 0962.82055Zorzano, M. P.; Mais, H.; Vazquez, L. 7 1998 Fractionally coupled solutions of the diffusion equation. Zbl 1047.35050Vázquez, Luis; Vilela Mendes, Rui 6 2003 On the stability of solitary waves for classical scalar fields. Zbl 0649.35076Blanchard, Ph.; Stubbe, J.; Vázquez, L. 5 1987 Existence of localized solutions for certain model field theories. Zbl 0459.35085Strauss, Walter A.; Vazquez, Luis 5 1981 The dynamical nature of a backlash system with and without fluid friction. Zbl 1177.70029Mendes, R. Vilela; Vázquez, Luis 5 2007 A numerical scheme for the simulation of blow-up in the nonlinear Schrödinger equation. Zbl 1023.65094Jiménez, Salvador; Llorente, Ignacio M.; Mancho, Ana M.; Pérez-García, Víctor M.; Vázquez, Luis 4 2003 Fractional diffusion equations with internal degrees of freedom. Zbl 1050.35128Vázquez, Luis 4 2003 On the fractional Newton and wave equation in one space dimension. Zbl 1449.35451Velasco, M. P.; Vázquez, L. 4 2014 Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B. 3 1989 Finite time extinction for nonlinear fractional evolution equations and related properties. Zbl 06637309Dıaz, Jesús Ildefonso; Pierantozzi, Teresa; Vázquez, Luis 3 2016 Finite-difference schemes and time-ordering corrections. Zbl 0945.65102Dattoli, G.; Quattromini, M.; Torre, A.; Vázquez, L. 3 1998 Fractional Duffing’s equation and geometrical resonance. Zbl 1270.34071Jiménez, 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 0669.65087Vázquez, Luis; Jiménez, Salvador 2 1988 Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation. Zbl 1331.35215Velasco, 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 1067.65152Zorzano, M.-P.; Mancho, A. M.; Vázquez, L. 2 2005 Numerical solutions of the Maxwell-Bloch laser equations. Zbl 0866.65086Guo, 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 0878.65112Zhang, Fei; Kivshar, Yuri S.; Vazquez, Luis 2 1993 Decay of localization effects by nonlinearity in disordered systems. Zbl 0825.35087Kivshar, Yu. S.; Gredeskul, S. A.; Sánchez, A.; Vázquez 2 1990 Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations. Zbl 1374.35333González, J. A.; Bellorín, A.; García-Ñustes, M. A.; Guerrero, L. E.; Jiménez, S.; Vázquez, L. 2 2017 Fractional calculus as a modeling framework. Zbl 1391.26025Vázquez, Luis; Velasco, María Pilar; Usero, David; Jiménez, Salvador 2 2018 Nonlinear plane waves in the Klein-Gordon-Maxwell field theory. Zbl 0799.35203Jiménez, Salvador; Vázquez, Luis 2 1993 Existence and stability of travelling waves in \((1+1)\) dimensions. Zbl 0713.35083Rodríguez Plaza, M. J.; Stubbe, J.; Vázquez, L. 1 1990 A numerical scheme for one-dimensional mechanical problems. Zbl 0617.70006Pascual, Pedro J.; Vázquez, Luis 1 1986 Resonance phenomena in soliton-impurity interactions. Zbl 0900.35334Zhang, Fei; Kivshar, Yuri S.; Vázquez, Luis 1 1993 Efficient shooting algorithms for solving the nonlinear one-dimensional scalar Helmholtz equation. Zbl 0943.65087Jiménez, S.; Bulgakov, S.; Vázquez, L. 1 1998 Some aspects about the scalability of scientific applications on parallel architectures. Zbl 0875.68185Llorente, 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 1052.34065Meister, Matthias; Vázquez, Luis 1 2003 A nonlinear Schrödinger equation with magnetic field effect: Solitary waves with internal rotation. Zbl 0737.35117Stubbe, Joachim; Vázquez, Luis 1 1989 Modeling and simulation of the atmospheric dust dynamics: fractional calculus and cloud computing. Zbl 1407.35220Vázquez, 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 1177.26012Rodríguez-Germá, Luis; Trujillo, Juan J.; Vázquez, Luis; Pilar Velasco, M. 1 2008 Singularity analysis of a nonlinear fractional differential equation. Zbl 1129.35480Vázquez, Luis 1 2005 Nonlinear plane wave solutions in the semiclassical Maxwell-Bloch laser equations. Zbl 0797.35154Pastor, I.; Pérez García, V. M.; Encinas Sanz, F.; Guerra, J. M.; Vázquez, L. 1 1993 Fate of the true-vacuum bubbles. Zbl 07460443González, 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 1391.26025Vázquez, Luis; Velasco, María Pilar; Usero, David; Jiménez, Salvador 2 2018 Modeling and simulation of the atmospheric dust dynamics: fractional calculus and cloud computing. Zbl 1407.35220Vázquez, Luis; Pilar Velasco, M.; Vázquez-Poletti, José Luis; Llorente, Ignacio M.; Usero, David; Jiménez, Salvador 1 2018 Fate of the true-vacuum bubbles. Zbl 07460443González, 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 1374.35333González, 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 1349.42053Cesarano, C.; Fornaro, C.; Vazquez, L. 12 2016 Finite time extinction for nonlinear fractional evolution equations and related properties. Zbl 06637309Dıaz, 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 1331.35215Velasco, M. Pilar; Usero, David; Jiménez, Salvador; Vázquez, Luis 2 2015 On the fractional Newton and wave equation in one space dimension. Zbl 1449.35451Velasco, M. P.; Vázquez, L. 4 2014 Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye 76 2013 Fractional Duffing’s equation and geometrical resonance. Zbl 1270.34071Jiménez, S.; González, J. A.; Vázquez, L. 3 2013 Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141Huang, Jianfei; Tang, Yifa; Vázquez, Luis 21 2012 Fractional dynamics of populations. Zbl 1226.92060Rivero, Margarita; Trujillo, Juan J.; Vázquez, Luis; Velasco, M. Pilar 43 2011 Fractional heat equation and the second law of thermodynamics. Zbl 1273.80002Vázquez, Luis; Trujillo, Juan J.; Velasco, M. Pilar 22 2011 From Newton’s equation to fractional diffusion and wave equations. Zbl 1213.26012Vázquez, Luis 10 2011 Fractional calculus framework to avoid singularities of differential equations. Zbl 1177.26012Rodríguez-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 1177.70029Mendes, R. Vilela; Vázquez, Luis 5 2007 Numerical integration of the discrete-ordinate radiative transfer equation in strongly non-homogeneous media. Zbl 1067.65152Zorzano, M.-P.; Mancho, A. M.; Vázquez, L. 2 2005 Singularity analysis of a nonlinear fractional differential equation. Zbl 1129.35480Vázquez, Luis 1 2005 On the solution of fractional evolution equations. Zbl 1059.35030Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis 16 2004 A fruitful interplay: from nonlocality to fractional calculus. Zbl 1099.35543Vázquez, L. 9 2004 A panoramic view of some perturbed nonlinear wave equations. Zbl 1063.65082Jiménez, S.; Pascual, P.; Aguierre, C.; Vázquez, L. 7 2004 Special polynomials and fractional calculus. Zbl 1081.33011Dattoli, G.; Ricci, P. E.; Cesarano, C.; Vázquez, L. 14 2003 Emergence of synchronous oscillations in neural networks excited by noise. Zbl 1018.92005Zorzano, M. P.; Vázquez, L. 9 2003 Fractionally coupled solutions of the diffusion equation. Zbl 1047.35050Vázquez, Luis; Vilela Mendes, Rui 6 2003 A numerical scheme for the simulation of blow-up in the nonlinear Schrödinger equation. Zbl 1023.65094Jiménez, Salvador; Llorente, Ignacio M.; Mancho, Ana M.; Pérez-García, Víctor M.; Vázquez, Luis 4 2003 Fractional diffusion equations with internal degrees of freedom. Zbl 1050.35128Vázquez, 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 1052.34065Meister, Matthias; Vázquez, Luis 1 2003 Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation. Zbl 0960.78015Gilles, L.; Hagness, S. C.; Vázquez, L. 13 2000 Numerical solution of two-dimensional Fokker-Planck equations. Zbl 1083.82526Zorzano, M. P.; Mais, H.; Vazquez, L. 16 1999 Numerical solution for Fokker-Planck equations in accelerators. Zbl 0962.82055Zorzano, M. P.; Mais, H.; Vazquez, L. 7 1998 Finite-difference schemes and time-ordering corrections. Zbl 0945.65102Dattoli, G.; Quattromini, M.; Torre, A.; Vázquez, L. 3 1998 Efficient shooting algorithms for solving the nonlinear one-dimensional scalar Helmholtz equation. Zbl 0943.65087Jiménez, S.; Bulgakov, S.; Vázquez, L. 1 1998 Symplectic methods for the Ablowitz-Ladik model. Zbl 0870.65115Tang, Yi-Fa; Pérez-García, Víctor M.; Vázquez, Luis 12 1997 Symplectic methods for the nonlinear Schrödinger equation. Zbl 0858.65124Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M. 42 1996 A Legendre spectral method for solving the nonlinear Klein-Gordon equation. Zbl 0856.65117Guo, Ben-Yu; Li, Xun; Vázquez, Luis 25 1996 Numerical solutions of the Maxwell-Bloch laser equations. Zbl 0866.65086Guo, Ben-Yu; Martín, I.; Pérez-García, Victor M.; Vázquez, Luis 2 1996 Some aspects about the scalability of scientific applications on parallel architectures. Zbl 0875.68185Llorente, 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 0832.65136Zhang, Fei; Pérez-García, Víctor M.; Vázquez, Luis 105 1995 Numerical simulations of a nonlinear Klein-Gordon model. Applications. Zbl 0872.65079Pascual, P. J.; Jiménez, S.; Vázquez, L. 11 1995 Nonlinear random waves. Zbl 1058.76500Konotop, Vladimir V.; Vázquez, Luis 33 1994 A panoramic view on kink-impurity interactions in the sine-Gordon and \(\phi^ 4\) models. Zbl 0878.65112Zhang, Fei; Kivshar, Yuri S.; Vazquez, Luis 2 1993 Nonlinear plane waves in the Klein-Gordon-Maxwell field theory. Zbl 0799.35203Jiménez, Salvador; Vázquez, Luis 2 1993 Resonance phenomena in soliton-impurity interactions. Zbl 0900.35334Zhang, Fei; Kivshar, Yuri S.; Vázquez, Luis 1 1993 Nonlinear plane wave solutions in the semiclassical Maxwell-Bloch laser equations. Zbl 0797.35154Pastor, 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 0732.65107Fei, Zhang; Vázquez, Luis 83 1991 Some conservative numerical schemes for an ordinary differential equation. Zbl 0743.65065Fei, Zhang; Vázquez, Luis 9 1991 Analysis of four numerical schemes for a nonlinear Klein-Gordon equation. Zbl 0697.65090Jiménez, Salvador; Vázquez, Luis 60 1990 Existence of standing waves for Dirac fields with singular nonlinearities. Zbl 0721.35065Balabane, Mikhael; Cazenave, Thierry; Vázquez, Luis 39 1990 Decay of localization effects by nonlinearity in disordered systems. Zbl 0825.35087Kivshar, Yu. S.; Gredeskul, S. A.; Sánchez, A.; Vázquez 2 1990 Existence and stability of travelling waves in \((1+1)\) dimensions. Zbl 0713.35083Rodríguez Plaza, M. J.; Stubbe, J.; Vázquez, L. 1 1990 Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B. 3 1989 A nonlinear Schrödinger equation with magnetic field effect: Solitary waves with internal rotation. Zbl 0737.35117Stubbe, Joachim; Vázquez, Luis 1 1989 Motion of a charge in a magnetic dipole field. I: Painlevé analysis and a conservative numerical scheme. Zbl 0669.65087Vázquez, Luis; Jiménez, Salvador 2 1988 On the stability of solitary waves for classical scalar fields. Zbl 0649.35076Blanchard, Ph.; Stubbe, J.; Vázquez, L. 5 1987 Numerical solution of the sine-Gordon equation. Zbl 0622.65131Guo, Benyu; Pascual, Pedro J.; Rodriguez, María J.; Vázquez, Luis 93 1986 Existence of localized solutions for a classical nonlinear Dirac field. Zbl 0596.35117Cazenave, Thierry; Vazquez, Luis 59 1986 Stability under dilations of nonlinear spinor fields. Zbl 1222.81167Strauss, Walter A.; Vázquez, Luis 14 1986 A numerical scheme for one-dimensional mechanical problems. Zbl 0617.70006Pascual, Pedro J.; Vázquez, Luis 1 1986 Numerical solution of a nonlinear wave equation in polar coordinates. Zbl 0542.65068Kuo, Pen-yu; Vázquez, Luis 13 1984 The numerical study of a nonlinear one-dimensional Dirac equation. Zbl 0525.65071Alvarez, A.; Kuo, Pen-Yu; Vazquez, Luis 15 1983 Existence of localized solutions for certain model field theories. Zbl 0459.35085Strauss, Walter A.; Vazquez, Luis 5 1981 Numerical solution of a nonlinear Klein-Gordon equation. Zbl 0387.65076Strauss, Walter; Vazquez, Luis 135 1978 all cited Publications top 5 cited Publications all top 5 Cited by 36 Authors 3 Dehghan Takht Fooladi, Mehdi 3 Sepehrian, Behnam 2 Shamohammadi, Zahra 1 Aguierre, C. 1 Alkahtani, Badr Saad T. 1 Aminataei, Azim 1 Atangana, Abdon 1 Benito, Juan José 1 Butt, Muhammad Munir 1 Carlini, Elisabetta 1 Chen, Yaming 1 Dubey, Ravi Shanker 1 Gavete, Luis 1 Geiser, Jürgen 1 Gómez, Ángel García 1 Karimi Radpoor, Marzieh 1 Kazem, Saeed 1 Kumar, Manoj 1 Lakestani, Mehrdad 1 Lamarque, Claude-Henri 1 Mohammadi, Vahid 1 Pandit, Sapna 1 Parand, Kourosh 1 Rad, Jamal Amani 1 Razzaghi, Mohsen 1 Schmidt, Franziska 1 Silva, Francisco J. 1 Šimandl, Miroslav 1 Song, Songhe 1 Švácha, Jaroslav 1 Tatari, Mehdi 1 Ureña, Francisco 1 Vanani, Solat Karimi 1 Vargas, Antonio Manuel 1 Zhang, Boya 1 Zhang, Yuxin all top 5 Cited in 17 Serials 2 Applied Mathematics and Computation 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Engineering Analysis with Boundary Elements 1 Kybernetika 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Mathematical Problems in Engineering 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Advances in Applied Mathematics and Mechanics 1 Arabian Journal of Mathematics 1 Computational Methods for Differential Equations all top 5 Cited in 11 Fields 16 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year