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: 75 Publications since 1992 Co-Authors: 61 Co-Authors with 75 Joint Publications 589 Co-Co-Authors all top 5 Co-Authors 0 single-authored 34 Cortés López, Juan Carlos 22 Jódar Sanchez, Lucas Antonio 14 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 Defez, Emilio 3 Acedo, Luis 3 Aranda, Diego F. 3 Bevia, Vicente J. 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 Martínez-Rodríguez, David 2 Morera, José Luis 2 Moscardó-García, Ana 2 Salazar, M. J. 2 Shaikhet, Leonid Efimovich 2 Weston, J. H. 1 Andreu-Vilarroig, Carlos 1 Brown, Robert A. 1 Calatayud, Julia 1 Caraballo Garrido, Tomás 1 Chen-Charpentier, Benito M. 1 Company, Rafael 1 Corberán-Vallet, Ana 1 Debbouche, Amar 1 Díez-Domingo, Javier 1 Ferrer, Maria Vicenta 1 Garcia-Honrubia, M. 1 González, Gilberto C. 1 Jornet-Sanz, Marc 1 Lauzon, M. Louis 1 Licea, J. A. 1 Moraño, José Antonio 1 Navarro, Enrique A. 1 Peco, Miguel 1 Pérez Quiles, Jesabel 1 Pérez, Cristina-Luisovna 1 Pérez, Jezabel 1 Rubio, Gregorio 1 Sánchez-Alonso, Víctor 1 Sánchez Sánchez, Antonio 1 Sánchez, Francisco Martínez 1 Trejos, Deccy Y. 1 Tuells, José 1 Valverde, Jose C. 1 Verdoy, José Antonio all top 5 Serials 9 Mathematical and Computer Modelling 7 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 3 Mathematical Methods in the Applied Sciences 3 Physica A 3 Chaos, Solitons and Fractals 3 Mathematics and Computers in Simulation 3 Abstract and Applied Analysis 2 International Journal of Mathematics and Mathematical Sciences 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 Computational and Applied Mathematics 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 SORT. Statistics and Operations Research Transactions 1 Advances in Difference Equations 1 Applied Mathematical and Computational Sciences 1 AIMS Mathematics all top 5 Fields 39 Ordinary differential equations (34-XX) 27 Numerical analysis (65-XX) 24 Biology and other natural sciences (92-XX) 22 Probability theory and stochastic processes (60-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Partial differential equations (35-XX) 6 Statistics (62-XX) 6 Computer science (68-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 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 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 362 times in 269 Documents Cited by ▼ Year ▼ Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C. 38 2008 Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336Jódar, L.; Villanueva, R. J.; Arenas, A. 25 2008 Solving a model for the evolution of smoking habit in Spain with homotopy analysis method. Zbl 1316.91027Guerrero, F.; Santonja, F. J.; Villanueva, R. J. 24 2013 A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique. Zbl 1510.92202Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 21 2016 A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto 14 2008 Computing mean square approximations of random diffusion models with source term. Zbl 1135.65301Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J. 13 2007 Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus. Zbl 1428.34010Burgos, C.; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva, R.-J. 12 2019 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 1374.34317Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 11 2017 Dynamics of a model of toxoplasmosis disease in human and cat populations. Zbl 1186.34063González-Parra, Gilberto C.; Arenas, Abraham J.; Aranda, Diego F.; Villanueva, Rafael J.; Jódar, Lucas 10 2009 Mean square convergent numerical solutions of random fractional differential equations: approximations of moments and density. Zbl 1503.65009Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 10 2020 Matrix cubic splines for progressive 3D imaging. Zbl 1020.68099Defez, E.; Villanueva-Oller, J.; Villanueva, R. J.; Law, A. 10 2002 A mathematical model for Babesiosis disease in bovine and tick populations. Zbl 1234.92052Aranda, Diego F.; Trejos, Deccy Y.; Valverde, Jose C.; Villanueva, Rafael J. 10 2012 Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials. Zbl 0965.68117Defez, E.; Hervás, A.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 10 2000 Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. 9 2009 Mathematical modelling of social obesity epidemic in the region of Valencia, Spain. Zbl 1298.37080Santonja, F.-J.; Villanueva, R.-J.; Jódar, L.; Gonzalez-Parra, G. 9 2010 Computing probabilistic solutions of the Bernoulli random differential equation. Zbl 1468.65006Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 8 2017 A procedure for computing the exponential of a matrix using Hermite matrix polynomials. Zbl 1006.65073Defez, E.; Garcia-Honrubia, M.; Villanueva, R. J. 7 2002 Mathematical modeling of toxoplasmosis disease in varying size populations. Zbl 1155.92336Aranda, Diego F.; Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto C. 7 2008 A mathematical model of the pressure of an extreme ideology on a society. Zbl 1155.91457Santonja, Francisco J.; Tarazona, Ana C.; Villanueva, Rafael J. 7 2008 Uncertainty quantification analysis of the biological Gompertz model subject to random fluctuations in all its parameters. Zbl 1490.60142Bevia, V.; Burgos, C.; Cortés, J.-C.; Navarro-Quiles, A.; Villanueva, R.-J. 7 2020 Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique. Zbl 1510.65012Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 7 2017 Probabilistic analysis of a class of impulsive linear random differential equations via density functions. Zbl 1481.60126Cortés, Juan-C.; Delgadillo-Alemán, Sandra E.; Kú-Carrillo, Roberto A.; Villanueva, Rafael-J. 6 2021 Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function. Zbl 1135.91018Company, R.; Jódar, L.; Rubio, G.; Villanueva, R. J. 5 2007 Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: a computational approach. Zbl 07313333Chen-Charpentier, B.-M.; Cortés, J.-C.; Licea, J.-A.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J. 5 2015 Solving continuous models with dependent uncertainty: a computational approach. Zbl 1470.65008Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J. 5 2013 A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. Zbl 1508.91385Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. 5 2018 A Bayesian stochastic SIRS model with a vaccination strategy for the analysis of respiratory syncytial virus. Zbl 1376.62082Jornet-Sanz, Marc; Corberán-Vallet, Ana; Santonja, Francisco; Villanueva, Rafael 5 2017 Probabilistic solution of the homogeneous Riccati differential equation: a case-study by using linearization and transformation techniques. Zbl 1339.60068Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 5 2016 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 1410.91393Cortés, Juan-Carlos; Santonja, Francisco-J.; Tarazona, Ana-C.; Villanueva, Rafael-J.; Villanueva-Oller, Javier 4 2015 Mean square convergent numerical methods for nonlinear random differential equations. Zbl 1275.65005Cortés, J.-C.; Jódar, L.; Villanueva, R.-J.; Villafuerte, L. 4 2010 Computational uncertainty quantification for random time-discrete epidemiological models using adaptive gPC. Zbl 1406.92557Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael Jacinto 4 2018 Numerical multisteps matrix methods for \(Y''=f(t,Y)\). Zbl 0790.65061Jódar, L.; Morera, J. L.; Villanueva, R. J. 3 1993 Age-structured mathematical modeling approach to short-term diffusion of electronic commerce in Spain. Zbl 1205.91122Cortés, J.-C.; Lombana, I.-C.; Villanueva, R.-J. 3 2010 Solving random mean square fractional linear differential equations by generalized power series: analysis and computing. Zbl 1434.60135Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 3 2018 A deterministic model for highly contagious diseases: the case of varicella. Zbl 1400.92457Acedo, L.; Moraño, J.-A.; Santonja, F.-J.; Villanueva, R.-J. 3 2016 Probabilistic prediction of outbreaks of meningococcus W-135 infections over the next few years in Spain. Zbl 1499.92086Acedo, L.; Burgos, C.; Cortés, J.-C.; Villanueva, R.-J. 3 2017 Solving non-monic higher order two-point boundary value matrix problems using quasi-Green’s matrix functions. Zbl 0757.34020Jódar, L.; Villanueva, R. J.; Navarro, E. 2 1992 Generalized Green’s functions for higher order boundary value matrix differential systems. Zbl 0755.34022Villanueva, R. J.; Jodar, L. 2 1992 Explicit solution of time dependent diffusion problems in a semi-infinite medium. Zbl 1258.35045Jódar, L.; Pérez Quiles, Jesabel; Villanueva, R. J. 2 2002 Matrix Newton interpolation and progressive 3D imaging: PC-based computation. Zbl 1004.65013Defez, E.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 2 2002 Analytical-numerical solutions of variable coefficient second order delay differential equations. Zbl 0843.34060Jodar, L.; Villanueva, R. J.; Covachev, V. Chr.; Martin, J. A. 2 1994 Explicit solutions of implicit second-order difference systems in unbounded bilateral domains. Zbl 0870.39002Jódar, L.; Villanueva, R. J. 2 1996 Solving random fractional second-order linear equations via the mean square Laplace transform: theory and statistical computing. Zbl 1510.34006Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 2 2022 Analysing differential equations with uncertainties via the Liouville-Gibbs theorem: theory and applications. Zbl 1491.60094Bevia, V.; Burgos, C.; Cortés, J.-C.; Navarro-Quiles, A.; Villanueva, R.-J. 2 2020 Uncertainty and sensitivity of the sexual behavior changes to the current human papillomavirus vaccination campaign in Spain. Zbl 1469.90050Acedo, Luis; Cortés, Juan-Carlos; Díez-Domingo, Javier; Sánchez-Alonso, Víctor; Tuells, José; Villanueva, Rafael-Jacinto 2 2021 Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions. Zbl 1497.34029Cortés, Juan C.; Delgadillo-Alemán, Sandra E.; Kú-Carrillo, Roberto A.; Villanueva, Rafael J. 2 2022 Dealing with dependent uncertainty in modelling: a comparative study case through the Airy equation. Zbl 1291.65018Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 2 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 1305.91206Peco, Miguel; Santonja, Francisco-J.; Tarazona, Ana-C.; Villanueva, Rafael-J.; Villanueva-Oller, Javier 2 2013 Analytical-numerical solution of coupled singular mixed diffusion type problems. Zbl 1042.65546Villanueva, R. J.; Hervás, A.; Salazar, M. J. 1 1999 ROI-based procedures for progressive transmission of digital images: a comparison. Zbl 1185.94007Baeza, I.; Verdoy, J.-A.; Villanueva-Oller, J.; Villanueva, R.-J. 1 2009 Progressive imaging: \(S\)-transform order. Zbl 1081.68735Zhu, H.; Brown, R. A.; Villanueva, R. J.; Villanueva-Oller, J.; Lauzon, M. L.; Mitchell, J. R.; Law, A. G. 1 2004 Probabilistic analysis of linear-quadratic logistic-type models with hybrid uncertainties via probability density functions. Zbl 1484.34139Burgos, Clara; Cortés, Juan Carlos; López-Navarro, Elena; Villanueva, Rafael Jacinto 1 2021 Uncertainty quantification for hybrid random logistic models with harvesting via density functions. Zbl 1498.92153Cortés, J.-C.; Moscardó-García, A.; Villanueva, R.-J. 1 2022 Analytic and numerical solution of coupled implicit semi-infinite diffusion problems. Zbl 0987.65089Jódar, L.; Pérez, J.; Villanueva, R. J. 1 2001 Solving random fractional second-order linear equations via the mean square Laplace transform: theory and statistical computing. Zbl 1510.34006Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 2 2022 Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions. Zbl 1497.34029Cortés, Juan C.; Delgadillo-Alemán, Sandra E.; Kú-Carrillo, Roberto A.; Villanueva, Rafael J. 2 2022 Uncertainty quantification for hybrid random logistic models with harvesting via density functions. Zbl 1498.92153Cortés, 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 1481.60126Cortés, Juan-C.; Delgadillo-Alemán, Sandra E.; Kú-Carrillo, Roberto A.; Villanueva, Rafael-J. 6 2021 Uncertainty and sensitivity of the sexual behavior changes to the current human papillomavirus vaccination campaign in Spain. Zbl 1469.90050Acedo, 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 1484.34139Burgos, Clara; Cortés, Juan Carlos; López-Navarro, Elena; Villanueva, Rafael Jacinto 1 2021 Mean square convergent numerical solutions of random fractional differential equations: approximations of moments and density. Zbl 1503.65009Burgos, 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 1490.60142Bevia, V.; Burgos, C.; Cortés, J.-C.; Navarro-Quiles, A.; Villanueva, R.-J. 7 2020 Analysing differential equations with uncertainties via the Liouville-Gibbs theorem: theory and applications. Zbl 1491.60094Bevia, 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 1428.34010Burgos, C.; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva, R.-J. 12 2019 A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. Zbl 1508.91385Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. 5 2018 Computational uncertainty quantification for random time-discrete epidemiological models using adaptive gPC. Zbl 1406.92557Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael Jacinto 4 2018 Solving random mean square fractional linear differential equations by generalized power series: analysis and computing. Zbl 1434.60135Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R. J. 3 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 1374.34317Burgos, C.; Cortés, J.-C.; Villafuerte, L.; Villanueva, R.-J. 11 2017 Computing probabilistic solutions of the Bernoulli random differential equation. Zbl 1468.65006Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 8 2017 Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique. Zbl 1510.65012Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 7 2017 A Bayesian stochastic SIRS model with a vaccination strategy for the analysis of respiratory syncytial virus. Zbl 1376.62082Jornet-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 1499.92086Acedo, L.; Burgos, C.; Cortés, J.-C.; Villanueva, R.-J. 3 2017 A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique. Zbl 1510.92202Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 21 2016 Probabilistic solution of the homogeneous Riccati differential equation: a case-study by using linearization and transformation techniques. Zbl 1339.60068Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 5 2016 A deterministic model for highly contagious diseases: the case of varicella. Zbl 1400.92457Acedo, L.; Moraño, J.-A.; Santonja, F.-J.; Villanueva, R.-J. 3 2016 Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: a computational approach. Zbl 07313333Chen-Charpentier, B.-M.; Cortés, J.-C.; Licea, J.-A.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J. 5 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 1410.91393Cortés, Juan-Carlos; Santonja, Francisco-J.; Tarazona, Ana-C.; Villanueva, Rafael-J.; Villanueva-Oller, Javier 4 2015 Solving a model for the evolution of smoking habit in Spain with homotopy analysis method. Zbl 1316.91027Guerrero, F.; Santonja, F. J.; Villanueva, R. J. 24 2013 Solving continuous models with dependent uncertainty: a computational approach. Zbl 1470.65008Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J. 5 2013 Dealing with dependent uncertainty in modelling: a comparative study case through the Airy equation. Zbl 1291.65018Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.; Villanueva, R.-J. 2 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 1305.91206Peco, Miguel; Santonja, Francisco-J.; Tarazona, Ana-C.; Villanueva, Rafael-J.; Villanueva-Oller, Javier 2 2013 A mathematical model for Babesiosis disease in bovine and tick populations. Zbl 1234.92052Aranda, Diego F.; Trejos, Deccy Y.; Valverde, Jose C.; Villanueva, Rafael J. 10 2012 Mathematical modelling of social obesity epidemic in the region of Valencia, Spain. Zbl 1298.37080Santonja, F.-J.; Villanueva, R.-J.; Jódar, L.; Gonzalez-Parra, G. 9 2010 Mean square convergent numerical methods for nonlinear random differential equations. Zbl 1275.65005Cortés, J.-C.; Jódar, L.; Villanueva, R.-J.; Villafuerte, L. 4 2010 Age-structured mathematical modeling approach to short-term diffusion of electronic commerce in Spain. Zbl 1205.91122Cortés, J.-C.; Lombana, I.-C.; Villanueva, R.-J. 3 2010 Dynamics of a model of toxoplasmosis disease in human and cat populations. Zbl 1186.34063González-Parra, Gilberto C.; Arenas, Abraham J.; Aranda, Diego F.; Villanueva, Rafael J.; Jódar, Lucas 10 2009 Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. 9 2009 ROI-based procedures for progressive transmission of digital images: a comparison. Zbl 1185.94007Baeza, I.; Verdoy, J.-A.; Villanueva-Oller, J.; Villanueva, R.-J. 1 2009 Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C. 38 2008 Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336Jódar, L.; Villanueva, R. J.; Arenas, A. 25 2008 A nonstandard dynamically consistent numerical scheme applied to obesity dynamics. Zbl 1157.92028Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto 14 2008 Mathematical modeling of toxoplasmosis disease in varying size populations. Zbl 1155.92336Aranda, Diego F.; Villanueva, Rafael J.; Arenas, Abraham J.; González-Parra, Gilberto C. 7 2008 A mathematical model of the pressure of an extreme ideology on a society. Zbl 1155.91457Santonja, Francisco J.; Tarazona, Ana C.; Villanueva, Rafael J. 7 2008 Computing mean square approximations of random diffusion models with source term. Zbl 1135.65301Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J. 13 2007 Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function. Zbl 1135.91018Company, R.; Jódar, L.; Rubio, G.; Villanueva, R. J. 5 2007 Progressive imaging: \(S\)-transform order. Zbl 1081.68735Zhu, 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 1020.68099Defez, E.; Villanueva-Oller, J.; Villanueva, R. J.; Law, A. 10 2002 A procedure for computing the exponential of a matrix using Hermite matrix polynomials. Zbl 1006.65073Defez, E.; Garcia-Honrubia, M.; Villanueva, R. J. 7 2002 Explicit solution of time dependent diffusion problems in a semi-infinite medium. Zbl 1258.35045Jódar, L.; Pérez Quiles, Jesabel; Villanueva, R. J. 2 2002 Matrix Newton interpolation and progressive 3D imaging: PC-based computation. Zbl 1004.65013Defez, E.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 2 2002 Analytic and numerical solution of coupled implicit semi-infinite diffusion problems. Zbl 0987.65089Jódar, L.; Pérez, J.; Villanueva, R. J. 1 2001 Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials. Zbl 0965.68117Defez, E.; Hervás, A.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 10 2000 Analytical-numerical solution of coupled singular mixed diffusion type problems. Zbl 1042.65546Villanueva, R. J.; Hervás, A.; Salazar, M. J. 1 1999 Explicit solutions of implicit second-order difference systems in unbounded bilateral domains. Zbl 0870.39002Jódar, L.; Villanueva, R. J. 2 1996 Analytical-numerical solutions of variable coefficient second order delay differential equations. Zbl 0843.34060Jodar, L.; Villanueva, R. J.; Covachev, V. Chr.; Martin, J. A. 2 1994 Numerical multisteps matrix methods for \(Y''=f(t,Y)\). Zbl 0790.65061Jódar, 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 0757.34020Jódar, L.; Villanueva, R. J.; Navarro, E. 2 1992 Generalized Green’s functions for higher order boundary value matrix differential systems. Zbl 0755.34022Villanueva, R. J.; Jodar, L. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 473 Authors 49 Cortés López, Juan Carlos 24 Villanueva, Rafael-Jacinto 17 Jódar Sanchez, Lucas Antonio 16 González-Parra, Gilberto C. 15 Arenas, Abraham J. 15 Jornet, Marc 14 Burgos, Clara 13 Villafuerte, Laura 11 Calatayud, Julia 10 Navarro Quiles, Ana 8 Chen-Charpentier, Benito M. 6 Băleanu, Dumitru I. 6 Casabán, María Consuelo 6 Defez, Emilio 6 Romero, José Vicente 6 Roselló, María Dolores 5 Santonja, Francisco-José 5 Shaikhet, Leonid Efimovich 4 Bevia, Vicente J. 4 Debbouche, Amar 4 Hayat, Tasawar 4 Hervás, Antonio 4 Jiang, Daqing 4 Law, Alan G. 4 Patidar, Kailash C. 3 Acedo, Luis 3 Al-saedi, Ahmed Eid Salem 3 Criado, Regino 3 Ding, Xiaohua 3 Ishiwata, Emiko 3 Khan, Subuhi 3 Ku-Carrillo, Roberto Alejandro 3 Li, Xiaodi 3 Ngo Van Hoa 3 Sekiguchi, Masaki 3 Vázquez-Leal, Héctor 3 Villanueva-Oller, Javier 3 Vu, Ho 3 Zafar, Zain Ul Abadin 2 Abbas, Syed 2 Abolghasemi, Hossein 2 Ahmad, Bashir 2 Ahmad, Muhammad Ozair 2 Ahmed, Nauman 2 Alonso Quesada, Santiago 2 Benhammouda, Brahim 2 Caraballo Garrido, Tomás 2 de la Sen, Manuel 2 Delgadillo-Aleman, Sandra Elizabeth 2 Ding, Deqiong 2 Dorini, Fábio Antonio 2 Fatoorehchi, Hooman 2 Gil’, Michael Iosif 2 Ibeas, Asier 2 Kerr, Gilbert 2 Khan, Yasir 2 Liu, Junli 2 Liu, Qun 2 Liu, Sanhong 2 Liu, Songnan 2 López-Navarro, Elena 2 Ma, Qiang 2 Martínez-Rodríguez, David 2 Merdan, Mehmet 2 Misra, Arvind Kumar 2 Morera, José Luis 2 Moscardó-García, Ana 2 Nieto Roig, Juan Jose 2 Ouifki, Rachid 2 Pang, Liuyong 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 Sharma, Anupama 2 Srivastava, Hari Mohan 2 Sultana, Sharmin 2 Sweilam, Nasser Hassan 2 Teng, Zhi-dong 2 Torregrosa Sanchez, Juan Ramón 2 Trejos, Deccy Y. 2 Valverde, Jose C. 2 van den Driessche, Pauline 2 Vargas-De-León, Cruz 2 Wang, Lin 2 Xu, Xiaojie 2 Yasmin, Ghazala 2 Zarghami, Reza 2 Zhang, Tailei 2 Zhang, Xinan 2 Zhao, Xiaopeng 1 Abazari, Reza 1 Abbas, Mujahid 1 Abbasbandy, Saeid 1 Abdelaziz, Mahmoud A. M. 1 Abdelheq, Mezouaghi 1 Abdullah, Farah Aini 1 Abul-Dahab, Mohamed ...and 373 more Authors all top 5 Cited in 100 Serials 13 Journal of Computational and Applied Mathematics 12 Chaos, Solitons and Fractals 12 Computational and Applied Mathematics 11 Applied Mathematics and Computation 11 Advances in Difference Equations 10 Computers & Mathematics with Applications 9 Mathematical and Computer Modelling 9 Applied Mathematical Modelling 8 Mathematics and Computers in Simulation 8 Communications in Nonlinear Science and Numerical Simulation 6 Physica A 6 Abstract and Applied Analysis 6 Nonlinear Analysis. Real World Applications 5 Journal of Mathematical Analysis and Applications 5 Journal of Difference Equations and Applications 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics Letters 4 Discrete Dynamics in Nature and Society 4 Journal of Applied Mathematics 3 Journal of the Franklin Institute 3 Theoretical Population Biology 3 Applied Numerical Mathematics 3 International Journal of Computer Mathematics 3 Mathematical Problems in Engineering 3 Mediterranean Journal of Mathematics 3 Mathematical Biosciences and Engineering 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Biomathematics 3 Afrika Matematika 3 Journal of Theoretical Biology 2 Bulletin of Mathematical Biology 2 Journal of Optimization Theory and Applications 2 Mathematica Slovaca 2 Numerical Algorithms 2 Linear Algebra and its Applications 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 Journal of Applied Mathematics and Computing 2 Computational & Mathematical Methods in Medicine 2 Mathematical Sciences 2 Applied Mathematics and Nonlinear Sciences 2 AIMS Mathematics 1 Applicable Analysis 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 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 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 Formal Methods in System Design 1 The Journal of Analysis 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Fractals 1 Filomat 1 Advances in Computational Mathematics 1 Bernoulli 1 Mathematical and Computer Modelling of Dynamical Systems 1 Qualitative Theory 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 Central European Journal of Mathematics 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 Biological Dynamics 1 Nonlinear Analysis. Hybrid Systems 1 Tbilisi Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 International Journal for Numerical Methods in Biomedical Engineering 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 International Journal of Structural Stability and Dynamics 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 Korean Journal of Mathematics 1 Computational and Mathematical Biophysics 1 Mathematics in Engineering 1 SN Operations Research Forum all top 5 Cited in 35 Fields 130 Ordinary differential equations (34-XX) 124 Biology and other natural sciences (92-XX) 82 Numerical analysis (65-XX) 53 Probability theory and stochastic processes (60-XX) 33 Partial differential equations (35-XX) 28 Dynamical systems and ergodic theory (37-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Systems theory; control (93-XX) 14 Special functions (33-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 Real functions (26-XX) 11 Difference and functional equations (39-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Statistics (62-XX) 7 Operator theory (47-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year