Edit Profile (opens in new tab) Jódar Sanchez, Lucas Antonio Compute Distance To: Compute Author ID: jodar-sanchez.lucas-a Published as: Jódar, L.; Jódar, Lucas; Jodar, L.; Jodar, Lucas; Sánchez, Lucas Jódar; Jódar Sánchez, Lucas A.; Jodar Sanchez, Lucas; Jódar Sánchez, Lucas; Jódar Sánchez, L.; Sánchez, Lucas; Jödar, Lucas more...less External Links: MGP · ORCID Documents Indexed: 384 Publications since 1983 9 Contributions as Editor Co-Authors: 84 Co-Authors with 323 Joint Publications 811 Co-Co-Authors all top 5 Co-Authors 64 single-authored 55 Company, Rafael 50 Cortés López, Juan Carlos 49 Navarro, Enrique A. 26 Ponsoda, Enrique 24 Casabán, María Consuelo 22 Almenar, Pedro 22 Villanueva, Rafael-Jacinto 19 Defez, Emilio 19 Villafuerte, Laura 17 Morera, José Luis 14 Egorova, Vera N. 13 Roselló, María Dolores 12 Rubio, Gregorio 11 Ferrer, Maria Vicenta 11 Law, Alan G. 9 Sastre, Jorge 8 Arenas, Abraham J. 8 Goberna, D. 7 González-Parra, Gilberto C. 6 Calbo, Gema 6 Fakharany, M. 6 Hervás, Antonio 6 Pintos, José Ramón 5 Legua, Matilde 5 Piqueras, Miguel A. 5 Posso, A. E. 5 Romero, José Vicente 4 Alustiza, J. A. Martin 4 de la Poza, Elena 4 Hernández, Vicente G. 4 Jerez, Silvia 4 Merello, Paloma 4 Sánchez, J. A. Cano 4 Sevilla-Peris, Pablo 4 Soleymani, Fazlollah 4 Solís, Francisco Javier 3 Abou-Kandil, Hisham 3 Aloy, R. 3 Castaño, Jorge I. 3 Criado, Regino 3 García-Bolós, R. 3 Ossandón, Gustavo A. 3 Pérez, Jezabel 3 Torregrosa Sanchez, Juan Ramón 2 Acedo, Luis 2 Arnau, Jose-Maria 2 Ballester, Cristina 2 Blanes, Sergio 2 Braumann, Carlos A. 2 Caudillo-Mata, Luz Angélica 2 Covachev, Valéry C. 2 González, Gilberto C. 2 Marletta, Marco 2 Micó, Rafael Jacinto Villanueva 2 Sánchez Cano, J. A. 2 Santonja, Francisco-José 2 Vázquez Cendón, Carlos 2 Weston, J. H. 1 Aranda, Diego F. 1 Balbastre, J. V. 1 Bartual, Maria Consuelo Casabán 1 Casteljón, H. 1 Chen-Charpentier, Benito M. 1 Chen, Benito M. 1 Cortés, José Luis 1 Díaz, Angeles I. 1 Duato, R. 1 El Fakharany, Mohamed 1 Fernández, M. Legua 1 García-Mora, Belén 1 Garcia-Sala, D. 1 Guadalajara, Natividad 1 Hernandez Garcia, Vicente 1 Junco Navascués, L. 1 Ku-Carrillo, Roberto Alejandro 1 Legua Fernández, Matilde 1 Malin, M. R. 1 Mariton, Michel 1 Nuño, Luis 1 Pérez Quiles, Jesabel 1 Pricop, Andrei 1 Rodríguez-Álvarez, María José 1 Rodríguez-Mattalia, S. 1 Somolinos, J. A. 1 Telyakovskiĭ, Alekseĭ Sergeevich 1 Thieffry, Denis 1 Tung, Michael M. 1 Villanueva Micó, Rafael J. all top 5 Serials 52 Computers & Mathematics with Applications 36 Applied Mathematics Letters 32 Mathematical and Computer Modelling 28 Journal of Computational and Applied Mathematics 24 Applied Mathematics and Computation 14 Stochastica 14 Abstract and Applied Analysis 13 Utilitas Mathematica 10 International Journal of Computer Mathematics 9 Mathematics and Computers in Simulation 8 Linear Algebra and its Applications 7 Mathematical Methods in the Applied Sciences 6 International Journal of Mathematics and Mathematical Sciences 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Approximation Theory and its Applications 6 Congressus Numerantium 5 Control and Cybernetics 5 Revista de la Unión Matemática Argentina 5 Applications of Mathematics 4 Applied Numerical Mathematics 4 Glasnik Matematički. Serija III 3 Portugaliae Mathematica 3 Analysis 3 Journal of Computational Mathematics 3 Applied Mathematical Modelling 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid 3 Analele Științifice ale Universității Al. I. Cuza din Iași. Matematică 3 Mathematical Modelling and Analysis 2 IMA Journal of Numerical Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Simon Stevin 2 Publicacions Matemàtiques 2 International Journal of Differential Equations 1 Applicable Analysis 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Zastosowania Matematyki 1 Chaos, Solitons and Fractals 1 Aplikace Matematiky 1 The Arabian Journal for Science and Engineering 1 Collectanea Mathematica 1 IEEE Transactions on Automatic Control 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Systems & Control Letters 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 Revista Matemática de la Universidad Complutense de Madrid 1 Journal of Intelligent & Robotic Systems 1 Differential and Integral Equations 1 Numerical Algorithms 1 Dynamic Systems and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 SIAM Journal on Mathematical Analysis 1 Applicationes Mathematicae 1 Mathware & Soft Computing 1 Advances in Computational Mathematics 1 Differential Equations and Dynamical Systems 1 Mathematical and Computer Modelling of Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Advanced Studies in Theoretical Physics 1 Journal of Theoretical Biology all top 5 Fields 174 Numerical analysis (65-XX) 162 Ordinary differential equations (34-XX) 97 Partial differential equations (35-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 44 Probability theory and stochastic processes (60-XX) 30 Operator theory (47-XX) 28 Special functions (33-XX) 23 Difference and functional equations (39-XX) 23 Biology and other natural sciences (92-XX) 21 Systems theory; control (93-XX) 10 General and overarching topics; collections (00-XX) 10 Integral equations (45-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Approximations and expansions (41-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Statistics (62-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 241 Publications have been cited 1,573 times in 732 Documents Cited by ▼ Year ▼ On the hypergeometric matrix function. Zbl 0933.33004Jódar, L.; Cortés, J. C. 54 1998 Laguerre matrix polynomials and systems of second-order differential equations. Zbl 0821.34010Jódar, L.; Company, R.; Navarro, E. 46 1994 Hermite matrix polynomials and second order matrix differential equations. Zbl 0858.15014Jódar, L.; Company, R. 44 1996 Some properties of gamma and beta matrix functions. Zbl 1074.33002Jódar, L.; Cortés, J. C. 44 1998 Random differential operational calculus: theory and applications. Zbl 1189.60126Villafuerte, L.; Braumann, C. A.; Cortés, J.-C.; Jódar, L. 41 2010 Some applications of the Hermite matrix polynomials series expansions. Zbl 0929.33006Defez, Emilio; Jódar, Lucas 38 1998 Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C. 36 2008 Numerical solution of random differential equations: a mean square approach. Zbl 1140.65012Cortés, J. C.; Jódar, L.; Villafuerte, L. 35 2007 Chebyshev matrix polynomials and second order matrix differential equations. Zbl 0998.15034Defez, Emilio; Jódar, Lucas 25 2002 Orthogonal matrix polynomials and systems of second order differential equations. Zbl 0892.33004Jódar, L.; Company, R.; Ponsoda, E. 23 1995 Analytic-numerical approximating processes of diffusion equation with data uncertainty. Zbl 1078.65005Cortés, J. C.; Sevilla-Peris, P.; Jódar, L. 23 2005 Mean square numerical solution of random differential equations: Facts and possibilities. Zbl 1127.65003Cortés, J. C.; Jódar, L.; Villafuerte, L. 23 2007 Closed form general solution of the hypergeometric matrix differential equation. Zbl 0985.33006Jódar, L.; Cortés, J. C. 22 2000 Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336Jódar, L.; Villanueva, R. J.; Arenas, A. 21 2008 On Hermite matrix polynomials and Hermite matrix functions. Zbl 0911.15015Jódar, Lucas; Defez, Emilio 19 1998 Jacobi matrix differential equation, polynomial solutions, and their properties. Zbl 1069.33007Defez, E.; Jódar, L.; Law, A. 19 2004 Random linear-quadratic mathematical models: Computing explicit solutions and applications. Zbl 1183.65005Cortés, J. C.; Jódar, L.; Villafuerte, L. 19 2009 On Laguerre matrix polynomials. Zbl 0990.33008Jódar, Lucas; Sastre, Jorge 18 1998 Random Airy type differential equations: mean square exact and numerical solutions. Zbl 1201.60068Cortés, J.-C.; Jódar, L.; Camacho, F.; Villafuerte, L. 18 2010 A numerical method for European option pricing with transaction costs nonlinear equation. Zbl 1185.91174Company, Rafael; Jódar, Lucas; Pintos, José-Ramón 18 2009 Asymptotics of the modified Bessel and the incomplete gamma matrix functions. Zbl 1048.33002Sastre, J.; Jódar, L. 17 2003 Random Hermite differential equations: mean square power series solutions and statistical properties. Zbl 1247.60101Calbo, G.; Cortés, J.-C.; Jódar, L. 17 2011 Modeling dynamics of infant obesity in the region of Valencia, Spain. Zbl 1155.92329Jódar, Lucas; Santonja, Francisco J.; González-Parra, Gilberto 16 2008 Accurate continuous numerical solutions of time dependent mixed partial differential problems. Zbl 0857.65097Jódar, L.; Almenar, P. 15 1996 Non-autonomous Riccati-type matrix differential equations: Existence interval, construction of continuous numerical solutions and error bounds. Zbl 0826.65066Jódar, Lucas; Ponsoda, Enrique 15 1995 Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas 15 2009 A new direct method for solving the Black-Scholes equation. Zbl 1068.35005Jódar, L.; Sevilla-Peris, P.; Cortés, J. C.; Sala, R. 14 2005 Three-term recurrences and matrix orthogonal polynomials. Zbl 0962.05064Defez, E.; Jódar, L.; Law, A.; Ponsoda, E. 14 2000 Exact and analytic-numerical solutions of strongly coupled mixed diffusion problems. Zbl 0949.35033Jódar, L.; Navarro, E.; Martin, J. A. 13 2000 Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318Arenas, Abraham J.; González, Gilberto; Jódar, Lucas 13 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 Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications. Zbl 0853.42022Jódar, L.; Defez, E.; Ponsoda, E. 12 1996 A resolution method for Riccati differential systems coupled in their quadratic terms. Zbl 0663.65076Jodar, L.; Abou-Kandil, H. 12 1988 Boundary value problems for second-order differential operator equations. Zbl 0614.34030Jódar, Lucas 12 1986 Rectangular co-solutions of polynomial matrix equations and applications. Zbl 0718.15007Jodar, L.; Navarro, E. 12 1991 A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model. Zbl 1349.92129Piqueras, M.-A.; Company, R.; Jódar, L. 12 2017 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. 11 2010 Constructing positive reliable numerical solution for American call options: a new front-fixing approach. Zbl 1329.91138Company, R.; Egorova, V. N.; Jódar, L. 11 2016 A connection between Laguerre’s and Hermite’s matrix polynomials. Zbl 1074.33011Jódar, L.; Defez, E. 11 1998 Computing accurate solution for coupled systems of second order partial differential equations. II. Zbl 0813.65114Jódar, Lucas 10 1992 Continuous numerical solutions and error bounds for time dependent systems of partial differential equations: Mixed problems. Zbl 0831.65102Jódar, L.; Ponsoda, E. 10 1995 A matrix approach to the analytic-numerical solution of mixed partial differential systems. Zbl 0839.65105Navarro, E.; Ponsoda, E.; Jódar, L. 10 1995 The growth of Laguerre matrix polynomials on bounded intervals. Zbl 1112.33300Jódar, L.; Sastre, J. 10 2000 Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems. Zbl 1001.65073Chen, B.; Garcia Bolós, R.; Jódar, L. 10 2001 On complete set of solutions for polynomial matrix equations. Zbl 0706.15014Jódar, L.; Navarro, E. 10 1990 Positive finite difference schemes for a partial integro-differential option pricing model. Zbl 1338.91152Fakharany, M.; Company, R.; Jódar, L. 10 2014 Numerical analysis and simulation of option pricing problems modeling illiquid markets. Zbl 1193.91152Company, R.; Jódar, L.; Ponsoda, E.; Ballester, C. 10 2010 A consistent stable numerical scheme for a nonlinear option pricing model in illiquid markets. Zbl 1262.91146Company, Rafael; Jódar, Lucas; Pintos, José-Ramón 10 2012 Computing the variable coefficient telegraph equation using a discrete eigenfunctions method. Zbl 1127.65073Aloy, R.; Casabán, M. C.; Caudillo-Mata, L. A.; Jódar, L. 10 2007 Explicit solutions for a system of coupled Lyapunov differential matrix equations. Zbl 0595.34056Jodar, L.; Mariton, M. 9 1987 Explicit solutions for second order operator differential equations with two boundary value conditions. Zbl 0651.34062Jódar, Lucas 9 1988 An implicit difference method for the numerical solution of coupled systems of partial differential equations. Zbl 0744.65058Jódar, L.; Legua Fernandez, M. 9 1991 Random analytic solution of coupled differential models with uncertain initial condition and source term. Zbl 1155.60320Calbo, Gema; Cortés, Juan Carlos; Jódar, Lucas 9 2008 Matrix quadrature integration and orthogonal matrix polynomials. Zbl 0836.33004Jódar, Lucas; Defez, Emilio; Ponsoda, Enrique 8 1995 Rational matrix approximation with a priori error bounds for non-symmetric matrix Riccati equations with analytic coefficients. Zbl 0917.65064Jódar, Lucas; Cortés López, J. C. 8 1998 Closed analytical solution of Riccati type matrix differential equations. Zbl 0765.34001Jódar, L.; Navarro, E. 8 1992 A mixed derivative terms removing method in multi-asset option pricing problems. Zbl 1342.35400Company, R.; Egorova, V. N.; Jódar, L.; Soleymani, F. 8 2016 Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. 8 2009 Mean square power series solution of random linear differential equations. Zbl 1189.34105Calbo, G.; Cortés, J.-C.; Jódar, L. 8 2010 Constructive polynomial approximation with a priori error bounds for nonlinear initial value differential problems. Zbl 0947.34007Jódar, L.; Posso, A. E.; Casteljón, H. 7 1999 Bounding Hermite matrix polynomials. Zbl 1061.33007Defez, E.; Hervás, A.; Jódar, L.; Law, A. 7 2004 Explicit expressions for Sturm-Liouville operator problems. Zbl 0595.34022Jodar, Lucas 7 1987 Bessel matrix functions: Explicit solution of coupled Bessel type equations. Zbl 0846.34004Jodar, L.; Company, R.; Navarro, E. 7 1994 Mixed problems for the time-dependent telegraph equation: Continuous numerical solutions with a priori error bounds. Zbl 0881.35064Almenar, P.; Jódar, L.; Martin, J. A. 7 1997 Kronecker products and coupled matrix Riccati differential systems. Zbl 0678.34015Jódar, L.; Abou-Kandil, H. 7 1989 Solving second-order matrix differential equations with regular singular points avoiding the increase of the problem dimension. Zbl 0766.34008Jódar, Lucas; Legua, Matilde 7 1993 Mixed problems for separated variable coefficient wave equations: Analytic-numerical solutions with a priori error bounds. Zbl 1001.65109Almenar, Pedro; Jódar, Lucas 7 2001 The truncation error of the two-variable Chebyshev series expansions. Zbl 1064.65085Chen, B.; García-Bolós, R.; Jódar, L.; Roselló, M. D. 7 2003 Infinite matrix products and the representation of the matrix gamma function. Zbl 1383.15026Cortés, J.-C.; Jódar, L.; Solís, Francisco J.; Ku-Carrillo, Roberto 7 2015 Laguerre matrix polynomial series expansion: theory and computer applications. Zbl 1137.15014Sastre, J.; Defez, E.; Jódar, L. 7 2006 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 7 2009 Removing the correlation term in option pricing Heston model: numerical analysis and computing. Zbl 1293.91188Company, R.; Jódar, L.; Fakharany, M.; Casabán, M.-C. 7 2013 Solving initial and two-point boundary value linear random differential equations: a mean square approach. Zbl 1298.34103Cortés, J.-C.; Jódar, L.; Roselló, M.-D.; Villafuerte, L. 7 2012 Solving the random Legendre differential equation: mean square power series solution and its statistical functions. Zbl 1221.65008Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 7 2011 Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions. Zbl 1219.65157Sastre, J.; Defez, E.; Jódar, L. 7 2011 Solving Riccati time-dependent models with random quadratic coefficients. Zbl 1252.65013Cortés, J.-C.; Jódar, L.; Company, R.; Villafuerte, L. 7 2011 Numerical solution of random differential initial value problems: multistep methods. Zbl 1206.65019Cortés, J. C.; Jódar, L.; Villafuerte, L. 7 2011 Finite difference methods for pricing American put option with rationality parameter: numerical analysis and computing. Zbl 1349.65280Company, Rafael; Egorova, Vera; Jódar, Lucas; Vázquez, Carlos 6 2016 Analytic numerical solution of coupled semi-infinite diffusion problems. Zbl 0839.35103Jódar, L.; Goberna, D. 6 1995 Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes. Zbl 1342.91041Fakharany, M.; Company, R.; Jódar, L. 6 2016 Analytic numerical approximation with a priori error bound for the wave equation with time dependent coefficient. Zbl 0992.65109Jódar, L.; Posso, A. E. 6 1999 Boundary-value problems and Cauchy problems for the second-order Euler operator differential equation. Zbl 0624.34014Jódar, Lucas 6 1987 Explicit bounds for the solutions of second order linear differential equations. Zbl 1186.34044Almenar, Pedro; Jódar, Lucas 6 2009 Positive solutions of discrete dynamic Leontief input-output model with possibly singular capital matrix. Zbl 1205.91113Jódar, L.; Merello, P. 6 2010 Boundary problems and periodic Riccati equations. Zbl 0588.34017Hernández, V.; Jódar, L. 6 1985 Mean square solution of Bessel differential equation with uncertainties. Zbl 1353.60061Cortés, J.-C.; Jódar, L.; Villafuerte, L. 6 2017 Continuous numerical solutions of coupled mixed partial differential systems using Fer’s factorization. Zbl 0946.65095Blanes, Sergio; Jódar, Lucas 5 1999 The stable discrete numerical solution of strongly coupled mixed partial differential systems. Zbl 0974.65081Jódar, L.; Sánchez, J. A.; Ferrer, M. V. 5 2000 Continuous numerical solutions and error bounds for matrix differential equations. Zbl 0847.65045Jódar, L.; Ponsoda, E. 5 1993 Constructing eigenfunctions of strongly coupled parabolic boundary value systems. Zbl 1014.35065Navarro, E.; Jódar, L.; Ferrer, M. V. 5 2002 Computing continuous numerical solutions of matrix differential equations. Zbl 0819.65107Jodar, L.; Ponsoda, E. 5 1995 Exact solution of coupled mixed diffusion problems with coupled boundary conditions. Zbl 1076.35519Camacho, J.; Jódar, L.; Navarro, E. 5 1998 Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations. Zbl 1042.34511Blanes, S.; Jódar, L.; Ponsoda, E. 5 2000 Analytic stochastic process solutions of second-order random differential equations. Zbl 1402.60083Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 5 2010 Numerical solution of modified Black-Scholes equation pricing stock options with discrete dividend. Zbl 1133.91412Company, R.; González, A. L.; Jódar, L. 5 2006 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 Boundary problems for Riccati and Lyapunov equations. Zbl 0569.47040Jodar, Lucas 5 1986 Solving the random diffusion model in an infinite medium: a mean square approach. Zbl 1429.60058Casabán, M.-C.; Company, R.; Cortés, J.-C.; Jódar, L. 5 2014 Solving American option pricing models by the front fixing method: numerical analysis and computing. Zbl 1470.91324Company, R.; Egorova, V. N.; Jódar, L. 5 2014 Discrete numerical solution of strongly coupled mixed diffusion problems. Zbl 0955.65060Jódar, L.; Sánchez Cano, J. A. 4 2000 Estimation of the smallest eigenvalue of an \(n\)th-order linear boundary value problem. Zbl 1478.34024Almenar, Pedro; Jódar, Lucas 1 2021 Solving two-phase freezing Stefan problems: stability and monotonicity. Zbl 1452.35262Piqueras, Miguel A.; Company, Rafael; Jódar, Lucas 1 2020 Integral transform solution of random coupled parabolic partial differential models. Zbl 1452.35266Casabán, María Consuelo; Company, Rafael; Egorova, Vera N.; Jódar, Lucas 1 2020 On the random gamma function: theory and computing. Zbl 1440.60059Braumann, C. A.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 4 2018 Conditional full stability of positivity-preserving finite difference scheme for diffusion-advection-reaction models. Zbl 1427.65154Company, Rafael; Egorova, Vera N.; Jódar, Lucas 1 2018 Computing positive stable numerical solutions of moving boundary problems for concrete carbonation. Zbl 1376.92076Piqueras, M.-A.; Company, R.; Jódar, L. 1 2018 Numerical analysis and computing of free boundary problems for concrete carbonation chemical corrosion. Zbl 1383.92101Piqueras, M.-A.; Company, R.; Jódar, L. 1 2018 A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model. Zbl 1349.92129Piqueras, M.-A.; Company, R.; Jódar, L. 12 2017 Mean square solution of Bessel differential equation with uncertainties. Zbl 1353.60061Cortés, J.-C.; Jódar, L.; Villafuerte, L. 6 2017 Moving boundary transformation for American call options with transaction cost: finite difference methods and computing. Zbl 1364.91151Egorova, V. N.; Tan, S.-H.; Lai, C.-H.; Company, R.; Jódar, L. 1 2017 Numerical analysis of novel finite difference methods. Zbl 1420.91504Company, Rafael; Egorova, Vera N.; El Fakharany, Mohamed; Jódar, Lucas; Soleymani, Fazlollah 1 2017 Constructing positive reliable numerical solution for American call options: a new front-fixing approach. Zbl 1329.91138Company, R.; Egorova, V. N.; Jódar, L. 11 2016 A mixed derivative terms removing method in multi-asset option pricing problems. Zbl 1342.35400Company, R.; Egorova, V. N.; Jódar, L.; Soleymani, F. 8 2016 Finite difference methods for pricing American put option with rationality parameter: numerical analysis and computing. Zbl 1349.65280Company, Rafael; Egorova, Vera; Jódar, Lucas; Vázquez, Carlos 6 2016 Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes. Zbl 1342.91041Fakharany, M.; Company, R.; Jódar, L. 6 2016 A new efficient numerical method for solving American option under regime switching model. Zbl 1443.91327Egorova, Vera N.; Company, Rafael; Jódar, Lucas 4 2016 Solving random mixed heat problems: a random integral transform approach. Zbl 1330.35551Casabán, M.-C.; Cortés, J.-C.; Jódar, L. 2 2016 Computing American option price under regime switching with rationality parameter. Zbl 1410.91480Company, Rafael; Egorova, Vera; Jódar, Lucas; Vázquez, Carlos 2 2016 Editorial. Novel methods in computational finance. Zbl 1347.00081 1 2016 Solving linear and quadratic random matrix differential equations: a mean square approach. Zbl 1480.34084Casabán, M.-C.; Cortés, J.-C.; Jódar, L. 1 2016 Improving results on solvability of a class of \(n\)th-order linear boundary value problems. Zbl 1354.34040Almenar, Pedro; Jódar, Lucas 1 2016 Infinite matrix products and the representation of the matrix gamma function. Zbl 1383.15026Cortés, J.-C.; Jódar, L.; Solís, Francisco J.; Ku-Carrillo, Roberto 7 2015 A random Laplace transform method for solving random mixed parabolic differential problems. Zbl 1390.35435Casabán, M.-C.; Cortés, J.-C.; Jódar, L. 4 2015 Solvability of \(N\)th order linear boundary value problems. Zbl 1339.34034Almenar, P.; Jódar, L. 2 2015 Positive finite difference schemes for a partial integro-differential option pricing model. Zbl 1338.91152Fakharany, M.; Company, R.; Jódar, L. 10 2014 Solving the random diffusion model in an infinite medium: a mean square approach. Zbl 1429.60058Casabán, M.-C.; Company, R.; Cortés, J.-C.; Jódar, L. 5 2014 Solving American option pricing models by the front fixing method: numerical analysis and computing. Zbl 1470.91324Company, R.; Egorova, V. N.; Jódar, L. 5 2014 The distance between points of a solution of a second order linear differential equation satisfying general boundary conditions. Zbl 1470.34058Almenar, Pedro; Jódar, Lucas 1 2014 Removing the correlation term in option pricing Heston model: numerical analysis and computing. Zbl 1293.91188Company, R.; Jódar, L.; Fakharany, M.; Casabán, M.-C. 7 2013 Positive solutions of European option pricing with CGMY process models using double discretization difference schemes. Zbl 1291.91231Company, R.; Jódar, L.; Fakharany, M. 4 2013 Analytic-numerical solution of random boundary value heat problems in a semi-infinite bar. Zbl 1470.65007Casabán, M.-C.; Cortés, J.-C.; García-Mora, B.; Jódar, L. 4 2013 The distribution of zeroes and critical points of solutions of a second order half-linear differential equation. Zbl 1276.34024Almenar, Pedro; Jódar, Lucas 3 2013 Modeling Spanish anxiolytic consumption: economic, demographic and behavioral influences. Zbl 1305.91199De la Poza, E.; Guadalajara, N.; Jódar, L.; Merello, P. 1 2013 A consistent stable numerical scheme for a nonlinear option pricing model in illiquid markets. Zbl 1262.91146Company, Rafael; Jódar, Lucas; Pintos, José-Ramón 10 2012 Solving initial and two-point boundary value linear random differential equations: a mean square approach. Zbl 1298.34103Cortés, J.-C.; Jódar, L.; Roselló, M.-D.; Villafuerte, L. 7 2012 Double discretization difference schemes for partial integrodifferential option pricing jump diffusion models. Zbl 1256.91063Casabán, M.-C.; Company, R.; Jódar, L.; Romero, J.-V. 4 2012 An upper bound for the distance between a zero and a critical point of a solution of a second order linear differential equation. Zbl 1238.34056Almenar, Pedro; Jódar, Lucas 4 2012 Random mixed hyperbolic models: numerical analysis and computing. Zbl 1255.65022Jódar, L.; Cortés, J.-C.; Villafuerte, L. 3 2012 On the zeroes and the critical points of a solution of a second order half-linear differential equation. Zbl 1260.34059Almenar, Pedro; Jódar, Lucas 1 2012 Random Hermite differential equations: mean square power series solutions and statistical properties. Zbl 1247.60101Calbo, G.; Cortés, J.-C.; Jódar, L. 17 2011 Solving the random Legendre differential equation: mean square power series solution and its statistical functions. Zbl 1221.65008Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 7 2011 Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions. Zbl 1219.65157Sastre, J.; Defez, E.; Jódar, L. 7 2011 Solving Riccati time-dependent models with random quadratic coefficients. Zbl 1252.65013Cortés, J.-C.; Jódar, L.; Company, R.; Villafuerte, L. 7 2011 Numerical solution of random differential initial value problems: multistep methods. Zbl 1206.65019Cortés, J. C.; Jódar, L.; Villafuerte, L. 7 2011 A Lyapunov inequality for a second order nonlinear differential equation. Zbl 1223.34040Almenar, P.; Jódar, L. 4 2011 Numerical analysis and computing of a non-arbitrage liquidity model with observable parameters for derivatives. Zbl 1219.91148Casabán, M.-C.; Company, R.; Jódar, L.; Pintos, J.-R. 3 2011 Numerical solution of random differential models. Zbl 1235.65008Cortés, J.-C.; Jódar, L.; Villafuerte, L.; Company, R. 2 2011 Random differential operational calculus: theory and applications. Zbl 1189.60126Villafuerte, L.; Braumann, C. A.; Cortés, J.-C.; Jódar, L. 41 2010 Random Airy type differential equations: mean square exact and numerical solutions. Zbl 1201.60068Cortés, J.-C.; Jódar, L.; Camacho, F.; Villafuerte, L. 18 2010 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. 11 2010 Numerical analysis and simulation of option pricing problems modeling illiquid markets. Zbl 1193.91152Company, R.; Jódar, L.; Ponsoda, E.; Ballester, C. 10 2010 Mean square power series solution of random linear differential equations. Zbl 1189.34105Calbo, G.; Cortés, J.-C.; Jódar, L. 8 2010 Positive solutions of discrete dynamic Leontief input-output model with possibly singular capital matrix. Zbl 1205.91113Jódar, L.; Merello, P. 6 2010 Analytic stochastic process solutions of second-order random differential equations. Zbl 1402.60083Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L. 5 2010 Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). Zbl 1184.92027Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas 4 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 Random matrix difference models arising in long-term medical drug strategies. Zbl 1200.92022Calbo, G.; Cortés, J.-C.; Jódar, L. 3 2010 New bounds for the solutions of second order linear differential equations. Zbl 1189.34019Almenar, Pedro; Jódar, Lucas 3 2010 Numerical analysis and computing for option pricing models in illiquid markets. Zbl 1205.91168Company, Rafael; Jódar, Lucas; Pintos, José-Ramón 2 2010 Computing option pricing models under transaction costs. Zbl 1189.91203Company, R.; Jódar, L.; Pintos, J.-R.; Roselló, M.-D. 2 2010 Solving an analytic dynamic Leontief model with time dependent capital matrix. Zbl 1190.34005Jódar, L.; Merello, P. 1 2010 Random linear-quadratic mathematical models: Computing explicit solutions and applications. Zbl 1183.65005Cortés, J. C.; Jódar, L.; Villafuerte, L. 19 2009 A numerical method for European option pricing with transaction costs nonlinear equation. Zbl 1185.91174Company, Rafael; Jódar, Lucas; Pintos, José-Ramón 18 2009 Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas 15 2009 Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J. 8 2009 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 7 2009 Explicit bounds for the solutions of second order linear differential equations. Zbl 1186.34044Almenar, Pedro; Jódar, Lucas 6 2009 Improving explicit bounds for the solutions of second order linear differential equations. Zbl 1186.34045Almenar, Pedro; Jódar, Lucas 4 2009 Consistent stable difference schemes for nonlinear Black-Scholes equations modelling option pricing with transaction costs. Zbl 1175.91071Company, Rafael; Jódar, Lucas; Pintos, José-Ramón 4 2009 Periodic solutions of nonautonomous differential systems modeling obesity population. Zbl 1198.34063Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas 3 2009 A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme. Zbl 1175.65092Aloy, R.; Casabán, M.-C.; Jódar, L. 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. 36 2008 Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336Jódar, L.; Villanueva, R. J.; Arenas, A. 21 2008 Modeling dynamics of infant obesity in the region of Valencia, Spain. Zbl 1155.92329Jódar, Lucas; Santonja, Francisco J.; González-Parra, Gilberto 16 2008 Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318Arenas, Abraham J.; González, Gilberto; Jódar, Lucas 13 2008 Random analytic solution of coupled differential models with uncertain initial condition and source term. Zbl 1155.60320Calbo, Gema; Cortés, Juan Carlos; Jódar, Lucas 9 2008 An efficient method for option pricing with discrete dividend payment. Zbl 1155.65369Ballester, Cristina; Company, Rafael; Jódar, Lucas 3 2008 A random Euler method for solving differential equations with uncertainties. Zbl 1308.65012Cortés López, Juan Carlos; Jódar, L.; Villafuerte, L. 2 2008 Numerical solution of Black-Scholes option pricing with variable yield discrete dividend payment. Zbl 1153.91476Company, Rafael; Jódar, Lucas; Ponsoda, Enrique 2 2008 A stable CE-SE numerical method for time-dependent advection-diffusion equation. Zbl 1308.65141Company, R.; Defez, E.; Jódar, L.; Ponsoda, E. 1 2008 Numerical solution of random differential equations: a mean square approach. Zbl 1140.65012Cortés, J. C.; Jódar, L.; Villafuerte, L. 35 2007 Mean square numerical solution of random differential equations: Facts and possibilities. Zbl 1127.65003Cortés, J. C.; Jódar, L.; Villafuerte, L. 23 2007 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 Computing the variable coefficient telegraph equation using a discrete eigenfunctions method. Zbl 1127.65073Aloy, R.; Casabán, M. C.; Caudillo-Mata, L. A.; Jódar, L. 10 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 Constructing accurate polynomial approximations for nonlinear differential initial value problems. Zbl 1193.65111Chen, B.; Company, R.; Jódar, L.; Roselló, M. D. 4 2007 Constructing unconditionally time-stable numerical solutions for mixed parabolic problems. Zbl 1152.65459Aloy, R.; Casabán, M. C.; Jódar, L. 3 2007 Conditional uniform time stable numerical solutions of coupled hyperbolic systems. Zbl 1127.65067Casabán, M. C.; Jódar, L.; Ossandón, G. A. 1 2007 Laguerre matrix polynomial series expansion: theory and computer applications. Zbl 1137.15014Sastre, J.; Defez, E.; Jódar, L. 7 2006 Numerical solution of modified Black-Scholes equation pricing stock options with discrete dividend. Zbl 1133.91412Company, R.; González, A. L.; Jódar, L. 5 2006 A semi-implicit conservation element-solution element method for chemical species transport simulation to tapered ducts of internal combustion engine. Zbl 1104.80015Arnau, J. M.; Jerez, S.; Jódar, L.; Romero, J. V. 2 2006 Constructing approximate diffusion processes with uncertain data. Zbl 1103.65010Cortés, J. C.; Sevilla-Peris, P.; Jódar, L. 2 2006 On the asymptotics of Laguerre matrix polynomials. Zbl 1116.33011Sastre, J.; Jódar, L. 2 2006 A discrete Fourier method for solving strongly coupled mixed hyperbolic problems. Zbl 1082.35017Casabán, M. C.; Jódar, L.; Ossandón, G. A. 2 2006 On Laguerre matrix polynomial series. Zbl 1106.33011Sastre, J.; Jódar, L. 2 2006 A discrete eigenfunctions method for numerical solution of random diffusion models. Zbl 1156.35306Jódar, L.; Cortés, J. C.; Villafuerte, L. 2 2006 Analytic-numerical approximating processes of diffusion equation with data uncertainty. Zbl 1078.65005Cortés, J. C.; Sevilla-Peris, P.; Jódar, L. 23 2005 A new direct method for solving the Black-Scholes equation. Zbl 1068.35005Jódar, L.; Sevilla-Peris, P.; Cortés, J. C.; Sala, R. 14 2005 Chebyshev polynomial approximations for nonlinear differential initial value problems. Zbl 1224.65170Chen, B.; García-Bolós, R.; Jódar, L.; Roselló, M. D. 4 2005 Chaos in the one-dimensional wave equation. Zbl 1068.35062Solis, Francisco J.; Jódar, Lucas; Chen, Benito 3 2005 ...and 141 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 826 Authors 208 Jódar Sanchez, Lucas Antonio 68 Cortés López, Juan Carlos 41 Company, Rafael 31 Defez, Emilio 26 Casabán, María Consuelo 26 Roselló, María Dolores 25 Navarro, Enrique A. 24 Villanueva, Rafael-Jacinto 22 Villafuerte, Laura 19 Ponsoda, Enrique 18 Almenar, Pedro 18 González-Parra, Gilberto C. 17 Shehata, Ayman 16 Arenas, Abraham J. 16 Jornet, Marc 15 Romero, José Vicente 14 Calatayud, Julia 13 Egorova, Vera N. 13 Sastre, Jorge 11 Morera, José Luis 10 Abdalla, Mohamed 10 Chen-Charpentier, Benito M. 10 Dwivedi, Ravi 10 Sahai, Vivek 9 Ferrer, Maria Vicenta 9 Navarro Quiles, Ana 8 Burgos, Clara 8 Hervás, Antonio 8 Ibáñez González, Jacinto Javier 8 Khodabin, Morteza 7 Blanes, Sergio 7 Fakharany, M. 7 Ge, Zhaoqiang 7 Goberna, D. 6 Calbo, Gema 6 Cattani, Carlo 6 Maleknejad, Khosrow 6 Posso, A. E. 6 Rubio, Gregorio 6 Solís, Francisco Javier 5 Arnau, Jose-Maria 5 Băleanu, Dumitru I. 5 Durán, Antonio José 5 Grünbaum, Francisco Alberto 5 Heydari, Mohammad Hossien 5 Hooshmandasl, Mohammad Reza 5 Khan, Subuhi 5 Patidar, Kailash C. 5 Pintos, José Ramón 5 Rostami, Majid 5 Soler, Vicente 5 Soleymani, Fazlollah 4 Balasubramaniam, Pagavathigounder 4 Çekım, Bayram 4 Dette, Holger 4 Du, Yihong 4 Hayat, Tasawar 4 Jerez, Silvia 4 Jiang, Daqing 4 Koleva, Miglena Nikolaeva 4 Law, Alan G. 4 Nouri, Kazem 4 Ossandón, Gustavo A. 4 Peinado, Jesús 4 Sánchez, J. A. Cano 4 Santonja, Francisco-José 4 Tung, Michael M. 4 Vulkov, Lubin G. 4 Zhu, Guangtian 3 Abul-Dahab, Mohamed 3 Al-Gonah, Ahmed Ali 3 Alonso-Jordá, Pedro 3 Aloy, R. 3 Al-saedi, Ahmed Eid Salem 3 Bakhet, Ahmed 3 Batahan, Raed S. 3 Castaño, Jorge I. 3 Criado, Regino 3 Dehghan Takht Fooladi, Mehdi 3 Dorini, Fábio Antonio 3 Duan, Junsheng 3 Engwerda, Jacob Christiaan 3 Feng, Dexing 3 Freiling, Gerhard 3 García-Bolós, R. 3 Hidan, Muajebah 3 Ishiwata, Emiko 3 Kojouharov, Hristo V. 3 Kumaresan, Nallasamy 3 Liu, Jianzhou 3 Liu, Shuang 3 Martín, José Antonio 3 Mohammadi, Fakhrodin 3 Nouri, Mostafa 3 Rach, Randolph C. 3 Rafiq, Muhammad H. 3 Rodrigo, Marianito R. 3 Rodríguez-Álvarez, María José 3 Rodríguez Mateos, Francisco 3 Sekiguchi, Masaki ...and 726 more Authors all top 5 Cited in 175 Serials 71 Computers & Mathematics with Applications 57 Applied Mathematics and Computation 51 Journal of Computational and Applied Mathematics 51 Mathematical and Computer Modelling 42 Applied Mathematics Letters 27 Abstract and Applied Analysis 17 International Journal of Computer Mathematics 17 Advances in Difference Equations 14 Mathematics and Computers in Simulation 14 Linear Algebra and its Applications 13 Applied Mathematical Modelling 11 Chaos, Solitons and Fractals 11 Applied Numerical Mathematics 9 Journal of Mathematical Analysis and Applications 9 Computational and Applied Mathematics 9 Journal of Difference Equations and Applications 9 Mediterranean Journal of Mathematics 7 Numerical Algorithms 6 Linear and Multilinear Algebra 6 Automatica 6 Applications of Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Systems Science and Complexity 6 Journal of Applied Mathematics 6 Afrika Matematika 5 Journal of the Franklin Institute 5 Asian-European Journal of Mathematics 4 Journal of Computational Physics 4 Nonlinear Analysis. 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Serie II 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Statistics & Probability Letters ...and 75 more Serials all top 5 Cited in 42 Fields 329 Numerical analysis (65-XX) 217 Ordinary differential equations (34-XX) 156 Partial differential equations (35-XX) 121 Probability theory and stochastic processes (60-XX) 121 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 96 Special functions (33-XX) 95 Biology and other natural sciences (92-XX) 89 Linear and multilinear algebra; matrix theory (15-XX) 50 Systems theory; control (93-XX) 37 Difference and functional equations (39-XX) 26 Dynamical systems and ergodic theory (37-XX) 22 Operator theory (47-XX) 20 Integral equations (45-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 15 Real functions (26-XX) 12 Integral transforms, operational calculus (44-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Approximations and expansions (41-XX) 9 Statistics (62-XX) 9 Computer science (68-XX) 7 Fluid mechanics (76-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year