Edit Profile (opens in new tab) Villanueva, Rafael-Jacinto Co-Author Distance Author ID: villanueva.rafael-jacinto Published as: Villanueva, R. J.; Villanueva, R.-J.; Villanueva, Rafael J.; Villanueva, Rafael-J.; Villanueva, Rafael-Jacinto; Villanueva, Rafael Jacinto; Villanueva, Rafael more...less Documents Indexed: 79 Publications since 1992, including 1 Additional arXiv Preprint Software Indexed: 1 Package Co-Authors: 71 Co-Authors with 79 Joint Publications 671 Co-Co-Authors all top 5 Co-Authors 0 single-authored 35 Cortés López, Juan Carlos 22 Jódar Sanchez, Lucas Antonio 15 Burgos, Clara 10 Santonja, Francisco-José 8 Romero, José Vicente 8 Villafuerte, Laura 8 Villanueva-Oller, Javier 7 Hervás, Antonio 7 Law, Alan G. 7 Roselló, María Dolores 6 Arenas, Abraham J. 5 González-Parra, Gilberto C. 5 Navarro Quiles, Ana 4 Acedo, Luis 4 Bevia, Vicente J. 4 Defez, Emilio 4 Martínez-Rodríguez, David 3 Aranda, Diego F. 3 Casabán, María Consuelo 3 Tarazona, Ana C. 2 Baeza, I. 2 Covachev, Valéry C. 2 Delgadillo-Aleman, Sandra Elizabeth 2 Jornet, Marc 2 Ku-Carrillo, Roberto Alejandro 2 Lombana, Iván-Camilo 2 López-Navarro, Elena 2 Morera, José Luis 2 Moscardó-García, Ana 2 Salazar, M. J. 2 Sánchez-Alonso, Víctor 2 Shaikhet, Leonid Efimovich 2 Weston, J. H. 1 Brown, Robert A. 1 Calatayud, Julia 1 Caraballo Garrido, Tomás 1 Chen-Charpentier, Benito Miguel 1 Company, Rafael 1 Corberán-Vallet, Ana 1 COVID-19_Granada, Grupo de Estudio 1 Debbouche, Amar 1 Díez-Domingo, Javier 1 Ferreiro-Marzal, Andrea 1 Ferrer, Maria Vicenta 1 Garcia-Honrubia, M. 1 Garrido, Jose Manuel 1 González, Gilberto C. 1 Guerrero, Francisco 1 Hidalgo, José Ignacio 1 Jimenez-Quintana, Maria del Mar 1 Jornet-Sanz, Marc 1 Lauzon, M. Louis 1 Licea, J. A. 1 Moraño, José Antonio 1 Navarro, Enrique A. 1 Parra, Daniel 1 Peco, Miguel 1 Pérez Quiles, Jesabel 1 Perez-Villares, Jose Miguel 1 Pérez, Cristina-Luisovna 1 Pérez, Jezabel 1 Rodriguez-Serrano, Fernando 1 Rubio, Gregorio 1 Sánchez Sánchez, Antonio 1 Sánchez, Francisco Javier Martínez 1 Trejos, Deccy Y. 1 Tuells, José 1 Valverde, Jose C. 1 Velasco, José-Manuel 1 Verdoy, José Antonio 1 Zhu, Hongmei all top 5 Serials 9 Mathematical and Computer Modelling 7 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 5 Mathematical Methods in the Applied Sciences 4 Journal of Computational and Applied Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 3 Chaos, Solitons and Fractals 3 Mathematics and Computers in Simulation 3 Abstract and Applied Analysis 2 Physica A 2 International Journal of Mathematics and Mathematical Sciences 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Control and Cybernetics 1 Journal of Optimization Theory and Applications 1 Utilitas Mathematica 1 Analysis 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Matematică 1 Congressus Numerantium 1 Differential Equations and Dynamical Systems 1 Far East Journal of Applied Mathematics 1 Mathematical and Computer Modelling of Dynamical Systems 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics 1 Advances in Complex Systems 1 SORT. Statistics and Operations Research Transactions 1 Advances in Difference Equations 1 Applied Mathematical and Computational Sciences 1 AIMS Mathematics all top 5 Fields 41 Ordinary differential equations (34-XX) 26 Numerical analysis (65-XX) 26 Biology and other natural sciences (92-XX) 23 Probability theory and stochastic processes (60-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Computer science (68-XX) 6 Partial differential equations (35-XX) 6 Statistics (62-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 444 times in 327 Documents Cited by ▼ Year ▼ Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018 Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C. 43 2008 A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique. Zbl 1510.92202 Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 29 2016 Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336 Jódar, L.; Villanueva, R. J.; Arenas, A. 27 2008 Solving a model for the evolution of smoking habit in Spain with homotopy analysis method. Zbl 1316.91027 Guerrero, F.; Santonja, F. J.; Villanueva, R. J. 27 2013 Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus. Zbl 1428.34010 Burgos, C.; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva, R.-J. 18 2019 A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028 Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto 16 2008 Computing mean square approximations of random diffusion models with source term. Zbl 1135.65301 Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J. 15 2007 Mathematical modelling of social obesity epidemic in the region of Valencia, Spain. Zbl 1298.37080 Santonja, F.-J.; Villanueva, R.-J.; Jódar, L.; Gonzalez-Parra, G. 14 2010 Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations. Zbl 1374.34317 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 13 2017 A mathematical model for Babesiosis disease in bovine and tick populations. Zbl 1234.92052 Aranda, Diego F.; Trejos, Deccy Y.; Valverde, Jose C.; Villanueva, Rafael J. 13 2012 Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique. Zbl 1510.65012 Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 13 2017 Dynamics of a model of toxoplasmosis disease in human and cat populations. Zbl 1186.34063 González-Parra, Gilberto C.; Arenas, Abraham J.; Aranda, Diego F.; Villanueva, Rafael J.; Jódar, Lucas 12 2009 Matrix cubic splines for progressive 3D imaging. Zbl 1020.68099 Defez, E.; Villanueva-Oller, J.; Villanueva, R. J.; Law, A. 11 2002 Computing probabilistic solutions of the Bernoulli random differential equation. Zbl 1468.65006 Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 11 2017 A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. Zbl 1508.91385 Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. 11 2018 Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials. Zbl 0965.68117 Defez, E.; Hervás, A.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 10 2000 Mean square convergent numerical solutions of random fractional differential equations: approximations of moments and density. Zbl 1503.65009 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 10 2020 Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: a computational approach. Zbl 1540.60152 Chen-Charpentier, B.-M.; Cortés, J.-C.; Licea, J.-A.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J. 10 2015 Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350 Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. 9 2009 Uncertainty quantification analysis of the biological Gompertz model subject to random fluctuations in all its parameters. Zbl 1490.60142 Bevia, V.; Burgos, C.; Cortés, J.-C.; Navarro-Quiles, A.; Villanueva, R.-J. 9 2020 Mathematical modeling of toxoplasmosis disease in varying size populations. Zbl 1155.92336 Aranda, Diego F.; Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto C. 8 2008 A procedure for computing the exponential of a matrix using Hermite matrix polynomials. Zbl 1006.65073 Defez, E.; Garcia-Honrubia, M.; Villanueva, R. J. 7 2002 A mathematical model of the pressure of an extreme ideology on a society. Zbl 1155.91457 Santonja, Francisco J.; Tarazona, Ana C.; Villanueva, Rafael J. 7 2008 Probabilistic analysis of a class of impulsive linear random differential equations via density functions. Zbl 1481.60126 Cortés, Juan-C.; Delgadillo-Alemán, Sandra E.; Kú-Carrillo, Roberto A.; Villanueva, Rafael-J. 7 2021 Solving continuous models with dependent uncertainty: a computational approach. Zbl 1470.65008 Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J. 7 2013 Probabilistic solution of the homogeneous Riccati differential equation: a case-study by using linearization and transformation techniques. Zbl 1339.60068 Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 6 2016 Computational uncertainty quantification for random time-discrete epidemiological models using adaptive gPC. Zbl 1406.92557 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael Jacinto 6 2018 Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function. Zbl 1135.91018 Company, R.; Jódar, L.; Rubio, G.; Villanueva, R. J. 5 2007 A Bayesian stochastic SIRS model with a vaccination strategy for the analysis of respiratory syncytial virus. Zbl 1376.62082 Jornet-Sanz, Marc; Corberán-Vallet, Ana; Santonja, Francisco; Villanueva, Rafael 5 2017 A probabilistic estimation and prediction technique for dynamic continuous social science models: the evolution of the attitude of the Basque country population towards ETA as a case study. Zbl 1410.91393 Cortés, Juan-Carlos; Santonja, Francisco-J.; Tarazona, Ana-C.; Villanueva, Rafael-J.; Villanueva-Oller, Javier 5 2015 Solving random mean square fractional linear differential equations by generalized power series: analysis and computing. Zbl 1434.60135 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 5 2018 Solving random fractional second-order linear equations via the mean square Laplace transform: theory and statistical computing. Zbl 1510.34006 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 5 2022 Age-structured mathematical modeling approach to short-term diffusion of electronic commerce in Spain. Zbl 1205.91122 Cortés, J.-C.; Lombana, I.-C.; Villanueva, R.-J. 4 2010 Mean square convergent numerical methods for nonlinear random differential equations. Zbl 1275.65005 Cortés, J.-C.; Jódar, L.; Villanueva, R.-J.; Villafuerte, L. 4 2010 A deterministic model for highly contagious diseases: the case of varicella. Zbl 1400.92457 Acedo, L.; Moraño, J.-A.; Santonja, F.-J.; Villanueva, R.-J. 4 2016 Probabilistic prediction of outbreaks of meningococcus W-135 infections over the next few years in Spain. Zbl 1499.92086 Acedo, L.; Burgos, C.; Cortés, J.-C.; Villanueva, R.-J. 4 2017 Numerical multisteps matrix methods for \(Y''=f(t,Y)\). Zbl 0790.65061 Jódar, L.; Morera, J. L.; Villanueva, R. J. 3 1993 Analytical-numerical solutions of variable coefficient second order delay differential equations. Zbl 0843.34060 Jodar, L.; Villanueva, R. J.; Covachev, V. Chr.; Martin, J. A. 3 1994 Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions. Zbl 1497.34029 Cortés, Juan C.; Delgadillo-Alemán, Sandra E.; Kú-Carrillo, Roberto A.; Villanueva, Rafael J. 3 2022 Uncertainty and sensitivity of the sexual behavior changes to the current human papillomavirus vaccination campaign in Spain. Zbl 1469.90050 Acedo, Luis; Cortés, Juan-Carlos; Díez-Domingo, Javier; Sánchez-Alonso, Víctor; Tuells, José; Villanueva, Rafael-Jacinto 2 2021 Explicit solutions of implicit second-order difference systems in unbounded bilateral domains. Zbl 0870.39002 Jódar, L.; Villanueva, R. J. 2 1996 Solving non-monic higher order two-point boundary value matrix problems using quasi-Green’s matrix functions. Zbl 0757.34020 Jódar, L.; Villanueva, R. J.; Navarro, E. 2 1992 Generalized Green’s functions for higher order boundary value matrix differential systems. Zbl 0755.34022 Villanueva, R. J.; Jodar, L. 2 1992 Matrix Newton interpolation and progressive 3D imaging: PC-based computation. Zbl 1004.65013 Defez, E.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 2 2002 Explicit solution of time dependent diffusion problems in a semi-infinite medium. Zbl 1258.35045 Jódar, L.; Pérez Quiles, Jesabel; Villanueva, R. J. 2 2002 The effect of the Spanish law of political parties (LPP) on the attitude of the Basque country population towards ETA: a dynamic modelling approach. Zbl 1305.91206 Peco, Miguel; Santonja, Francisco-J.; Tarazona, Ana-C.; Villanueva, Rafael-J.; Villanueva-Oller, Javier 2 2013 Dealing with dependent uncertainty in modelling: a comparative study case through the Airy equation. Zbl 1291.65018 Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 2 2013 Analysing differential equations with uncertainties via the Liouville-Gibbs theorem: theory and applications. Zbl 1491.60094 Bevia, V.; Burgos, C.; Cortés, J.-C.; Navarro-Quiles, A.; Villanueva, R.-J. 2 2020 Analytic and numerical solution of coupled implicit semi-infinite diffusion problems. Zbl 0987.65089 Jódar, L.; Pérez, J.; Villanueva, R. J. 1 2001 Analytical-numerical solution of coupled singular mixed diffusion type problems. Zbl 1042.65546 Villanueva, R. J.; Hervás, A.; Salazar, M. J. 1 1999 Progressive imaging: \(S\)-transform order. Zbl 1081.68735 Zhu, H.; Brown, R. A.; Villanueva, R. J.; Villanueva-Oller, J.; Lauzon, M. L.; Mitchell, J. R.; Law, A. G. 1 2004 ROI-based procedures for progressive transmission of digital images: a comparison. Zbl 1185.94007 Baeza, I.; Verdoy, J.-A.; Villanueva-Oller, J.; Villanueva, R.-J. 1 2009 Probabilistic analysis of linear-quadratic logistic-type models with hybrid uncertainties via probability density functions. Zbl 1484.34139 Burgos, Clara; Cortés, Juan Carlos; López-Navarro, Elena; Villanueva, Rafael Jacinto 1 2021 A delayed nonlinear stochastic model for cocaine consumption: stability analysis and simulation using real data. Zbl 1478.92181 Burgos, C.; Cortés, J.-C.; Shaikhet, L.; Villanueva, R.-J. 1 2021 Uncertainty quantification for hybrid random logistic models with harvesting via density functions. Zbl 1498.92153 Cortés, J.-C.; Moscardó-García, A.; Villanueva, R.-J. 1 2022 Solving random fractional second-order linear equations via the mean square Laplace transform: theory and statistical computing. Zbl 1510.34006 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 5 2022 Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions. Zbl 1497.34029 Cortés, Juan C.; Delgadillo-Alemán, Sandra E.; Kú-Carrillo, Roberto A.; Villanueva, Rafael J. 3 2022 Uncertainty quantification for hybrid random logistic models with harvesting via density functions. Zbl 1498.92153 Cortés, J.-C.; Moscardó-García, A.; Villanueva, R.-J. 1 2022 Probabilistic analysis of a class of impulsive linear random differential equations via density functions. Zbl 1481.60126 Cortés, Juan-C.; Delgadillo-Alemán, Sandra E.; Kú-Carrillo, Roberto A.; Villanueva, Rafael-J. 7 2021 Uncertainty and sensitivity of the sexual behavior changes to the current human papillomavirus vaccination campaign in Spain. Zbl 1469.90050 Acedo, Luis; Cortés, Juan-Carlos; Díez-Domingo, Javier; Sánchez-Alonso, Víctor; Tuells, José; Villanueva, Rafael-Jacinto 2 2021 Probabilistic analysis of linear-quadratic logistic-type models with hybrid uncertainties via probability density functions. Zbl 1484.34139 Burgos, Clara; Cortés, Juan Carlos; López-Navarro, Elena; Villanueva, Rafael Jacinto 1 2021 A delayed nonlinear stochastic model for cocaine consumption: stability analysis and simulation using real data. Zbl 1478.92181 Burgos, C.; Cortés, J.-C.; Shaikhet, L.; Villanueva, R.-J. 1 2021 Mean square convergent numerical solutions of random fractional differential equations: approximations of moments and density. Zbl 1503.65009 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 10 2020 Uncertainty quantification analysis of the biological Gompertz model subject to random fluctuations in all its parameters. Zbl 1490.60142 Bevia, V.; Burgos, C.; Cortés, J.-C.; Navarro-Quiles, A.; Villanueva, R.-J. 9 2020 Analysing differential equations with uncertainties via the Liouville-Gibbs theorem: theory and applications. Zbl 1491.60094 Bevia, V.; Burgos, C.; Cortés, J.-C.; Navarro-Quiles, A.; Villanueva, R.-J. 2 2020 Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus. Zbl 1428.34010 Burgos, C.; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva, R.-J. 18 2019 A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. Zbl 1508.91385 Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. 11 2018 Computational uncertainty quantification for random time-discrete epidemiological models using adaptive gPC. Zbl 1406.92557 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael Jacinto 6 2018 Solving random mean square fractional linear differential equations by generalized power series: analysis and computing. Zbl 1434.60135 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 5 2018 Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations. Zbl 1374.34317 Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 13 2017 Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique. Zbl 1510.65012 Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 13 2017 Computing probabilistic solutions of the Bernoulli random differential equation. Zbl 1468.65006 Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 11 2017 A Bayesian stochastic SIRS model with a vaccination strategy for the analysis of respiratory syncytial virus. Zbl 1376.62082 Jornet-Sanz, Marc; Corberán-Vallet, Ana; Santonja, Francisco; Villanueva, Rafael 5 2017 Probabilistic prediction of outbreaks of meningococcus W-135 infections over the next few years in Spain. Zbl 1499.92086 Acedo, L.; Burgos, C.; Cortés, J.-C.; Villanueva, R.-J. 4 2017 A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique. Zbl 1510.92202 Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 29 2016 Probabilistic solution of the homogeneous Riccati differential equation: a case-study by using linearization and transformation techniques. Zbl 1339.60068 Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 6 2016 A deterministic model for highly contagious diseases: the case of varicella. Zbl 1400.92457 Acedo, L.; Moraño, J.-A.; Santonja, F.-J.; Villanueva, R.-J. 4 2016 Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: a computational approach. Zbl 1540.60152 Chen-Charpentier, B.-M.; Cortés, J.-C.; Licea, J.-A.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J. 10 2015 A probabilistic estimation and prediction technique for dynamic continuous social science models: the evolution of the attitude of the Basque country population towards ETA as a case study. Zbl 1410.91393 Cortés, Juan-Carlos; Santonja, Francisco-J.; Tarazona, Ana-C.; Villanueva, Rafael-J.; Villanueva-Oller, Javier 5 2015 Solving a model for the evolution of smoking habit in Spain with homotopy analysis method. Zbl 1316.91027 Guerrero, F.; Santonja, F. J.; Villanueva, R. J. 27 2013 Solving continuous models with dependent uncertainty: a computational approach. Zbl 1470.65008 Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J. 7 2013 The effect of the Spanish law of political parties (LPP) on the attitude of the Basque country population towards ETA: a dynamic modelling approach. Zbl 1305.91206 Peco, Miguel; Santonja, Francisco-J.; Tarazona, Ana-C.; Villanueva, Rafael-J.; Villanueva-Oller, Javier 2 2013 Dealing with dependent uncertainty in modelling: a comparative study case through the Airy equation. Zbl 1291.65018 Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 2 2013 A mathematical model for Babesiosis disease in bovine and tick populations. Zbl 1234.92052 Aranda, Diego F.; Trejos, Deccy Y.; Valverde, Jose C.; Villanueva, Rafael J. 13 2012 Mathematical modelling of social obesity epidemic in the region of Valencia, Spain. Zbl 1298.37080 Santonja, F.-J.; Villanueva, R.-J.; Jódar, L.; Gonzalez-Parra, G. 14 2010 Age-structured mathematical modeling approach to short-term diffusion of electronic commerce in Spain. Zbl 1205.91122 Cortés, J.-C.; Lombana, I.-C.; Villanueva, R.-J. 4 2010 Mean square convergent numerical methods for nonlinear random differential equations. Zbl 1275.65005 Cortés, J.-C.; Jódar, L.; Villanueva, R.-J.; Villafuerte, L. 4 2010 Dynamics of a model of toxoplasmosis disease in human and cat populations. Zbl 1186.34063 González-Parra, Gilberto C.; Arenas, Abraham J.; Aranda, Diego F.; Villanueva, Rafael J.; Jódar, Lucas 12 2009 Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350 Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. 9 2009 ROI-based procedures for progressive transmission of digital images: a comparison. Zbl 1185.94007 Baeza, I.; Verdoy, J.-A.; Villanueva-Oller, J.; Villanueva, R.-J. 1 2009 Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018 Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C. 43 2008 Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336 Jódar, L.; Villanueva, R. J.; Arenas, A. 27 2008 A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028 Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto 16 2008 Mathematical modeling of toxoplasmosis disease in varying size populations. Zbl 1155.92336 Aranda, Diego F.; Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto C. 8 2008 A mathematical model of the pressure of an extreme ideology on a society. Zbl 1155.91457 Santonja, Francisco J.; Tarazona, Ana C.; Villanueva, Rafael J. 7 2008 Computing mean square approximations of random diffusion models with source term. Zbl 1135.65301 Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J. 15 2007 Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function. Zbl 1135.91018 Company, R.; Jódar, L.; Rubio, G.; Villanueva, R. J. 5 2007 Progressive imaging: \(S\)-transform order. Zbl 1081.68735 Zhu, H.; Brown, R. A.; Villanueva, R. J.; Villanueva-Oller, J.; Lauzon, M. L.; Mitchell, J. R.; Law, A. G. 1 2004 Matrix cubic splines for progressive 3D imaging. Zbl 1020.68099 Defez, E.; Villanueva-Oller, J.; Villanueva, R. J.; Law, A. 11 2002 A procedure for computing the exponential of a matrix using Hermite matrix polynomials. Zbl 1006.65073 Defez, E.; Garcia-Honrubia, M.; Villanueva, R. J. 7 2002 Matrix Newton interpolation and progressive 3D imaging: PC-based computation. Zbl 1004.65013 Defez, E.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 2 2002 Explicit solution of time dependent diffusion problems in a semi-infinite medium. Zbl 1258.35045 Jódar, L.; Pérez Quiles, Jesabel; Villanueva, R. J. 2 2002 Analytic and numerical solution of coupled implicit semi-infinite diffusion problems. Zbl 0987.65089 Jódar, L.; Pérez, J.; Villanueva, R. J. 1 2001 Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials. Zbl 0965.68117 Defez, E.; Hervás, A.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 10 2000 Analytical-numerical solution of coupled singular mixed diffusion type problems. Zbl 1042.65546 Villanueva, R. J.; Hervás, A.; Salazar, M. J. 1 1999 Explicit solutions of implicit second-order difference systems in unbounded bilateral domains. Zbl 0870.39002 Jódar, L.; Villanueva, R. J. 2 1996 Analytical-numerical solutions of variable coefficient second order delay differential equations. Zbl 0843.34060 Jodar, L.; Villanueva, R. J.; Covachev, V. Chr.; Martin, J. A. 3 1994 Numerical multisteps matrix methods for \(Y''=f(t,Y)\). Zbl 0790.65061 Jódar, L.; Morera, J. L.; Villanueva, R. J. 3 1993 Solving non-monic higher order two-point boundary value matrix problems using quasi-Green’s matrix functions. Zbl 0757.34020 Jódar, L.; Villanueva, R. J.; Navarro, E. 2 1992 Generalized Green’s functions for higher order boundary value matrix differential systems. Zbl 0755.34022 Villanueva, R. J.; Jodar, L. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 581 Authors 62 Cortés López, Juan Carlos 29 Villanueva, Rafael-Jacinto 22 Jornet, Marc 19 Jódar Sanchez, Lucas Antonio 17 Calatayud, Julia 16 Burgos, Clara 16 González-Parra, Gilberto C. 15 Arenas, Abraham J. 13 Navarro Quiles, Ana 13 Villafuerte, Laura 8 Casabán, María Consuelo 8 Chen-Charpentier, Benito Miguel 8 Romero, José Vicente 8 Roselló, María Dolores 8 Shaikhet, Leonid Efimovich 6 Băleanu, Dumitru I. 6 Defez, Emilio 5 Bevia, Vicente J. 5 Debbouche, Amar 5 Dorini, Fábio Antonio 5 Jiang, Daqing 5 Li, Xiaodi 5 Santonja, Francisco-José 4 Hayat, Tasawar 4 Hervás, Antonio 4 Law, Alan G. 4 Patidar, Kailash C. 3 Abbas, Syed 3 Acedo, Luis 3 Ahmad, Bashir 3 Al-saedi, Ahmed Eid Salem 3 Caraballo Garrido, Tomás 3 Company, Rafael 3 Ding, Xiaohua 3 Ishiwata, Emiko 3 Khan, Subuhi 3 Ku-Carrillo, Roberto Alejandro 3 Martínez-Rodríguez, David 3 Ngo Van Hoa 3 Sekiguchi, Masaki 3 Trejos, Deccy Y. 3 Valverde, Jose C. 3 Vázquez-Leal, Héctor 3 Villanueva-Oller, Javier 3 Vu, Ho 3 Zafar, Zain Ul Abadin 2 Abolghasemi, Hossein 2 Agarwal, Ravi P. 2 Ahmad, Muhammad Ozair 2 Ahmed, Nauman 2 Alonso Quesada, Santiago 2 Baishya, Chandrali 2 Belhamiti, Omar 2 Benhammouda, Brahim 2 Cecconello, Moiseis S. 2 Criado, Regino 2 de la Sen, Manuel 2 Delgadillo-Aleman, Sandra Elizabeth 2 Ding, Deqiong 2 Dorini, Leyza Baldo 2 Fatoorehchi, Hooman 2 Gil’, Michael Iosif 2 Hwang, Yoongu 2 Ibeas, Asier 2 Kerr, Gilbert 2 Khan, Yasir 2 Kwon, Hee-Dae 2 Lee, Jeehyun 2 Liu, Junli 2 Liu, Qun 2 Liu, Sanhong 2 Liu, Songnan 2 López-Navarro, Elena 2 Ma, Qiang 2 Merdan, Mehmet 2 Misra, Arvind Kumar 2 Morera, José Luis 2 Moscardó-García, Ana 2 Naik, Manisha Krishna 2 Nieto Roig, Juan Jose 2 Oh, Chunyoung 2 Ouifki, Rachid 2 Pang, Liuyong 2 Premakumari, R. N. 2 Rach, Randolph C. 2 Rehman, Muhammad Aziz-Ur 2 Rihan, Fathalla A. 2 Robledo, Gonzalo 2 Saad-Roy, Chadi M. 2 Sanjhira, Reshma R. 2 Selim, Mustafa M. 2 Sharma, Anupama 2 Sharma, Natasha S. 2 Slama, Howida 2 Srivastava, Hari Mohan 2 Sultana, Sharmin 2 Sweilam, Nasser Hassan 2 Teng, Zhi-dong 2 Torregrosa Sanchez, Juan Ramón 2 van den Driessche, Pauline ...and 481 more Authors all top 5 Cited in 113 Serials 20 Mathematical Methods in the Applied Sciences 16 Communications in Nonlinear Science and Numerical Simulation 15 Computational and Applied Mathematics 13 Journal of Computational and Applied Mathematics 12 Chaos, Solitons and Fractals 12 Applied Mathematics and Computation 11 Advances in Difference Equations 10 Computers & Mathematics with Applications 10 Applied Mathematical Modelling 9 Mathematics and Computers in Simulation 9 Mathematical and Computer Modelling 7 Physica A 6 Abstract and Applied Analysis 6 Nonlinear Analysis. Real World Applications 5 Journal of the Franklin Institute 5 Journal of Mathematical Analysis and Applications 5 Journal of Difference Equations and Applications 4 Applied Mathematics Letters 4 Discrete Dynamics in Nature and Society 4 Qualitative Theory of Dynamical Systems 4 Journal of Applied Mathematics 4 Afrika Matematika 4 Journal of Theoretical Biology 3 Theoretical Population Biology 3 Applied Numerical Mathematics 3 International Journal of Computer Mathematics 3 Mathematical Problems in Engineering 3 Journal of Applied Mathematics and Computing 3 Mediterranean Journal of Mathematics 3 Mathematical Biosciences and Engineering 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Biomathematics 2 Bulletin of Mathematical Biology 2 Journal of Optimization Theory and Applications 2 Mathematica Slovaca 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 Linear Algebra and its Applications 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of the Egyptian Mathematical Society 2 Differential Equations and Dynamical Systems 2 International Journal of Applied Mathematics and Computer Science 2 Mathematical Modelling and Analysis 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Central European Journal of Mathematics 2 Computational & Mathematical Methods in Medicine 2 International Journal of Structural Stability and Dynamics 2 S\(\vec{\text{e}}\)MA Journal 2 Journal of Applied Analysis and Computation 2 Mathematical Sciences 2 Applied Mathematics and Nonlinear Sciences 2 AIMS Mathematics 1 Applicable Analysis 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Physics Letters. A 1 Physics Reports 1 Reports on Mathematical Physics 1 Fuzzy Sets and Systems 1 International Journal for Numerical Methods in Engineering 1 The Journal of Mathematical Sociology 1 Kyungpook Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Systems & Control Letters 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Physica D 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Communications in Statistics. Theory and Methods 1 International Journal of Robust and Nonlinear Control 1 Formal Methods in System Design 1 The Journal of Analysis 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Fractals 1 Economic Theory 1 Filomat 1 Advances in Computational Mathematics 1 Bernoulli 1 Mathematical and Computer Modelling of Dynamical Systems 1 The ANZIAM Journal 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Advances in Complex Systems 1 Thai Journal of Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Journal of Industrial and Management Optimization 1 Journal of Biological Dynamics 1 Nonlinear Analysis. Hybrid Systems 1 Tbilisi Mathematical Journal 1 Journal of Nonlinear Science and Applications ...and 13 more Serials all top 5 Cited in 36 Fields 162 Ordinary differential equations (34-XX) 152 Biology and other natural sciences (92-XX) 96 Numerical analysis (65-XX) 75 Probability theory and stochastic processes (60-XX) 37 Partial differential equations (35-XX) 33 Dynamical systems and ergodic theory (37-XX) 25 Systems theory; control (93-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Special functions (33-XX) 14 Difference and functional equations (39-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Real functions (26-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 10 Operator theory (47-XX) 10 Statistics (62-XX) 6 Computer science (68-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 1 Nonassociative rings and algebras (17-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year