Computing accurate solutions for coupled systems of second order partial differential equations. - Lucas Jódar (Int. J. Comput. Math., 1990)

Singular perturbations for coupled second order boundary value difference systems. - Lucas Jódar; J. L. Morera (Int. J. Comput. Math., 1990)

On convergent linear multistep matrix methods. - Lucas Jódar; J. L. Morera; E. Navarro (Int. J. Comput. Math., 1991)

Evaluation of a rational function. - Alen George Law; Chang Nian Zhang; Ali Rezazadeh; Lucas Jódar (Numer. Algorithms, 1992)

Lyapunov Matrix Equation in System Stability and Control (Zoran Gajic and Muhammad Tahir Javed Qureshi). - Lucas Jódar (SIAM Rev., 1996)

Constructive stable numerical solutions for strongly coupled diffusion mixed partial differential systems. - Lucas Jódar; Jose Albeiro Sánchez (Int. J. Comput. Math., 1999)

Solving ODEs arising from non-selfadjoint Hamiltonian eigenproblems. - Lucas Jódar; Marco Marletta (Adv. Comput. Math., 2000)

The growth of laguerre matrix polynomials on bounded intervals. - Lucas Jódar; Jorge Sastre (Appl. Math. Lett., 2000)

Convergent matrix pencils. - Lucas Jódar; M. Consuelo Casabán (Appl. Math. Lett., 2001)

Asymptotic expressions of certain type of matrix integrals. - Lucas Jódar; Jorge Sastre (Appl. Math. Lett., 2001)

Stable numerical solution of strongly coupled mixed diffusion problems. - M. Consuelo Casabán; Lucas Jódar; José Albeiro Sánchez Cano (Appl. Math. Lett., 2002)

Continuous numerical solution of coupled parabolic initial value problems. - Jorge Iván Castaño; Lucas Jódar; Enrique Ponsoda; Jose Albeiro Sánchez (Appl. Math. Lett., 2002)

Constructing eigenfunctions of strongly coupled parabolic boundary value systems. - José Emilio Enrique Navarro; Lucas Jódar; María Vicenta Ferrer (Appl. Math. Lett., 2002)

Solving Dirichlet's problem in a rectangle for separate variable coefficient elliptic equations. - M. J. Rodriguez; M. D. Roselló; Silvia Jerez; Lucas Jódar (Appl. Math. Lett., 2002)

Accurate numerical solution of initial value problems for the time dependent convection-diffusion equation. - Rafael Company; Lucas Jódar; Enrique Ponsoda (Appl. Math. Lett., 2003)

Exact solution of variable coefficient mixed hyperbolic partial differential problems. - María-José Rodríguez-Alvarez; Gregorio Rubio; Lucas Jódar; A. E. Posso (Appl. Math. Lett., 2003)

Asymptotics of the modified bessel and the incomplete gamma matrix functions. - Jorge Sastre; Lucas Jódar (Appl. Math. Lett., 2003)

An algorithm for solving variable coefficient hyperbolic problems in a semi-infinite mediu. - J. C. Cortés; Lucas Jódar; M. D. Roselló (Appl. Math. Lett., 2004)

Nonisolated slow convergence in discrete dynamical systems. - Francisco Javier Solís; Lucas Jódar Sánchez (Appl. Math. Lett., 2004)

Bounding hermite matrix polynomials. - Emilio Defez; Antonio Hervás; Lucas Jódar; Alan G. Law (Math. Comput. Model., 2004)

Exact and numerical solution of Black-Scholes matrix equation. - J. C. Cortés; Lucas Jódar; R. Sala; P. Sevilla-Peris (Appl. Math. Comput., 2005)

A low computational cost numerical method for solving mixed diffusion problems. - Lucas Jódar; L. A. Caudillo-Mata (Appl. Math. Comput., 2005)

A new direct method for solving the Black-Scholes equation. - Lucas Jódar; P. Sevilla-Peris; J. C. Cortés; R. Sala (Appl. Math. Lett., 2005)

Chaos in the one-dimensional wave equation. - Francisco J. Solis; Lucas Jódar; Benito Chen (Appl. Math. Lett., 2005)

The complementary error matrix function and its role solving coupled diffusion mathematical models. - J. C. Cortés; Rafael Company; Lucas Jódar; Enrique Ponsoda (Math. Comput. Model., 2005)

An improvement of the finite-element method for computing the electric field of waveguides with complex geometry. - Sebastián Rodríguez-Mattalia; Luis Nuño; Lucas Jódar; Juan V. Balbastre (Math. Comput. Model., 2005)

A Nonuniform Semi-implicit Numerical Method for Computing Unsteady Chemical Transport Flow in Tapered Ducts. - José Manuel Arnau; Silvia Jerez; Lucas Jódar; José Vicente Romero; M. D. Roselló (POSTA, 2006)

Closed-form analytic solutions for dilogarithmic double integrals. - Michael M. Tung; Lucas Jódar (Appl. Math. Lett., 2006)

Numerical solution of modified Black-Scholes equation pricing stock options with discrete dividend. - Rafael Company; A. L. González; Lucas Jódar (Math. Comput. Model., 2006)

Laguerre matrix polynomial series expansion: Theory and computer applications. - Jorge Sastre; Emilio Defez; Lucas Jódar (Math. Comput. Model., 2006)

A semi-implicit conservation element-solution element method for chemical species transport simulation to tapered ducts of internal combustion engine. - José Manuel Arnau; Silvia Jerez; Lucas Jódar; José Vicente Romero (Math. Comput. Simul., 2006)

Constructing approximate diffusion processes with uncertain data. - J. C. Cortés; P. Sevilla-Peris; Lucas Jódar (Math. Comput. Simul., 2006)

Constructing accurate polynomial approximations for nonlinear differential initial value problems. - Benito Chen; Rafael Company; Lucas Jódar; M. D. Roselló (Appl. Math. Comput., 2007)

Conditional uniform time stable numerical solutions of coupled hyperbolic systems. - M. Consuelo Casabán; Lucas Jódar; Gustavo A. Ossandón (Appl. Math. Lett., 2007)

Computing the variable coefficient telegraph equation using a discrete eigenfunctions method. - R. Aloy; M. Consuelo Casabán; L. A. Caudillo-Mata; Lucas Jódar (Comput. Math. Appl., 2007)

Constructing unconditionally time-stable numerical solutions for mixed parabolic problems. - R. Aloy; M. Consuelo Casabán; Lucas Jódar (Comput. Math. Appl., 2007)

Mean square numerical solution of random differential equations: Facts and possibilities. - Juan Carlos Cortés; Lucas Jódar; L. Villafuerte 001 (Comput. Math. Appl., 2007)

Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function. - Rafael Company; Lucas Jódar; Gregorio Rubio; Rafael-Jacinto Villanueva (Math. Comput. Model., 2007)

Numerical solution of random differential equations: A mean square approach. - Juan Carlos Cortés; Lucas Jódar; Laura Villafuerte (Math. Comput. Model., 2007)

Computing mean square approximations of random diffusion models with source term. - J. C. Cortés; Lucas Jódar; L. Villafuerte 001; Rafael J. Villanueva (Math. Comput. Simul., 2007)

An efficient method for option pricing with discrete dividend payment. - Cristina Ballester; Rafael Company; Lucas Jódar (Comput. Math. Appl., 2008)

Random analytic solution of coupled differential models with uncertain initial condition and source term. - Gema Calbo; Juan Carlos Cortés; Lucas Jódar (Comput. Math. Appl., 2008)

Modeling dynamics of infant obesity in the region of Valencia, Spain. - Lucas Jódar; Francisco-José Santonja; Gilberto C. González-Parra (Comput. Math. Appl., 2008)

Modeling the spread of seasonal epidemiological diseases: Theory and applications. - Lucas Jódar; Rafael J. Villanueva; Abraham J. Arenas (Math. Comput. Model., 2008)

Nonstandard numerical methods for a mathematical model for influenza disease. - Lucas Jódar; Rafael J. Villanueva; Abraham J. Arenas; Gilberto C. González-Parra (Math. Comput. Simul., 2008)

A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme. - R. Aloy; M. Consuelo Casabán; Lucas Jódar (Appl. Math. Comput., 2009)

Piecewise finite series solution of nonlinear initial value differential problem. - Abraham J. Arenas; Gilberto González-Parra; Lucas Jódar; Rafael J. Villanueva (Appl. Math. Comput., 2009)

Explicit bounds for the solutions of second order linear differential equations. - Pedro Almenar; Lucas Jódar (Comput. Math. Appl., 2009)

Improving explicit bounds for the solutions of second order linear differential equations. - Pedro Almenar; Lucas Jódar (Comput. Math. Appl., 2009)

Dynamics of a model of Toxoplasmosis disease in human and cat populations. - Gilberto C. González-Parra; Abraham J. Arenas; Diego F. Aranda; Rafael J. Villanueva; Lucas Jódar (Comput. Math. Appl., 2009)

A numerical method for European Option Pricing with transaction costs nonlinear equation. - Rafael Company; Lucas Jódar; José Ramón Pintos (Math. Comput. Model., 2009)

Preface. - Lucas Jódar; Luis Acedo; Rafael J. Villanueva (Math. Comput. Model., 2009)

Random linear-quadratic mathematical models: Computing explicit solutions and applications. - J. C. Cortés; Lucas Jódar; L. Villafuerte 001 (Math. Comput. Simul., 2009)

Random matrix difference models arising in long-term medical drug strategies. - Gema Calbo; J. C. Cortés; Lucas Jódar (Appl. Math. Comput., 2010)

Analytic stochastic process solutions of second-order random differential equations. - Gema Calbo; J. C. Cortés; Lucas Jódar; L. Villafuerte 001 (Appl. Math. Lett., 2010)

New bounds for the solutions of second order linear differential equations. - Pedro Almenar; Lucas Jódar (Comput. Math. Appl., 2010)

Mean square power series solution of random linear differential equations. - Gema Calbo; J. C. Cortés; Lucas Jódar (Comput. Math. Appl., 2010)

Numerical analysis and simulation of option pricing problems modeling illiquid markets. - Rafael Company; Lucas Jódar; Enrique Ponsoda; Cristina Ballester (Comput. Math. Appl., 2010)

Computing option pricing models under transaction costs. - Rafael Company; Lucas Jódar; José Ramón Pintos; M. D. Roselló (Comput. Math. Appl., 2010)

Random Airy type differential equations: Mean square exact and numerical solutions. - Juan Carlos Cortés; Lucas Jódar; Francisco Camacho; Laura Villafuerte (Comput. Math. Appl., 2010)

Random differential operational calculus: Theory and applications. - L. Villafuerte 001; Carlos A. Braumann; J. C. Cortés; Lucas Jódar (Comput. Math. Appl., 2010)

Numerical analysis and computing for option pricing models in illiquid markets. - Rafael Company; Lucas Jódar; José Ramón Pintos (Math. Comput. Model., 2010)

Mathematical models in medicine, business and engineering 2009: Why applied mathematicians should interact with others and open ways and practices. - Lucas Jódar; Luis Acedo; Juan Carlos Cortés (Math. Comput. Model., 2010)

Corrigendum to "Special issue: Mathematical models in medicine, business & engineering 2009" [Math. Comput. Modelling 52 (7-8) (2010)]. - Lucas Jódar; Luis Acedo; Juan Carlos Cortés (Math. Comput. Model., 2010)

Positive solutions of discrete dynamic Leontief input-output model with possibly singular capital matrix. - Lucas Jódar; P. Merello (Math. Comput. Model., 2010)

Solving an analytic dynamic Leontief model with time dependent capital matrix. - Lucas Jódar; P. Merello (Math. Comput. Model., 2010)

Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). - Abraham J. Arenas; Gilberto González-Parra; Lucas Jódar (Math. Comput. Simul., 2010)

Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations. - J. C. Cortés; Lucas Jódar; Rafael J. Villanueva; L. Villafuerte 001 (Trans. Comput. Sci., 2010)

Random Hermite differential equations: Mean square power series solutions and statistical properties. - Gema Calbo; J. C. Cortés; Lucas Jódar (Appl. Math. Comput., 2011)

Polynomial approximation of nonlinear differential systems with prefixed accuracy. - Benito M. Chen-Charpentier; Lucas Jódar; Aleksey S. Telyakovskiy (Appl. Math. Comput., 2011)

A Lyapunov inequality for a second order nonlinear differential equation. - Pedro Almenar; Lucas Jódar (Appl. Math. Lett., 2011)

Solving Riccati time-dependent models with random quadratic coefficients. - J. C. Cortés; Lucas Jódar; Rafael Company; Laura Villafuerte (Appl. Math. Lett., 2011)

Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions. - Jorge Sastre; Emilio Defez; Lucas Jódar (Appl. Math. Lett., 2011)

Asymptotic behaviour of the solutions of second order functional differential equations. - Pedro Almenar; Lucas Jódar (Comput. Math. Appl., 2011)

Solving the random Legendre differential equation: Mean square power series solution and its statistical functions. - Gema Calbo; Juan Carlos Cortés; Lucas Jódar; Laura Villafuerte (Comput. Math. Appl., 2011)

Numerical analysis and computing of a non-arbitrage liquidity model with observable parameters for derivatives. - M. Consuelo Casabán; Rafael Company; Lucas Jódar; José Ramón Pintos (Comput. Math. Appl., 2011)

A comparative study of the numerical approximation of the random Airy differential equation. - J. C. Cortés; Lucas Jódar; José Vicente Romero; María Dolores Roselló (Comput. Math. Appl., 2011)

Numerical solution of random differential models. - Juan Carlos Cortés; Lucas Jódar; L. Villafuerte 001; Rafael Company (Math. Comput. Model., 2011)

A discrete mathematical model for addictive buying: Predicting the affected population evolution. - Iván García; Lucas Jódar; P. Merello; Francisco-José Santonja (Math. Comput. Model., 2011)

Towards the mathematical modelling of human behaviour. - Lucas Jódar; Juan Carlos Cortés; Luis Acedo (Math. Comput. Model., 2011)

Solving initial and two-point boundary value linear random differential equations: A mean square approach. - Juan Carlos Cortés; Lucas Jódar; María Dolores Roselló; L. Villafuerte 001 (Appl. Math. Comput., 2012)

An upper bound for the distance between a zero and a critical point of a solution of a second order linear differential equation. - Pedro Almenar; Lucas Jódar (Comput. Math. Appl., 2012)

A consistent stable numerical scheme for a nonlinear option pricing model in illiquid markets. - Rafael Company; Lucas Jódar; José Ramón Pintos (Math. Comput. Simul., 2012)

Random mixed hyperbolic models: Numerical analysis and computing. - Lucas Jódar; Juan Carlos Cortés; Laura Villafuerte (Math. Comput. Simul., 2012)

Mathematical modeling of the spread of divorce in Spain. - Rubén Duato; Lucas Jódar (Math. Comput. Model., 2013)

The challenge of modelling aggregated human behaviour. - Lucas Jódar; Juan Carlos Cortés; Luis Acedo (Math. Comput. Model., 2013)

Corrigendum to "Preface: The challenge of modelling aggregated human behaviour" [Math. Comput. Modelling 57 (2013) 1617-1618]. - Lucas Jódar; Elena De la Poza; Juan Carlos Cortés; Luis Acedo (Math. Comput. Model., 2013)

Modeling Spanish anxiolytic consumption: Economic, demographic and behavioral influences. - Elena De la Poza; Natividad Guadalajara Olmeda; Lucas Jódar; P. Merello (Math. Comput. Model., 2013)

Closed form numerical solutions of variable coefficient linear second-order elliptic problems. - M. Consuelo Casabán; Rafael Company; Lucas Jódar (Appl. Math. Comput., 2014)

Positive finite difference schemes for a partial integro-differential option pricing model. - Mohamed Fakharany; Rafael Company; Lucas Jódar (Appl. Math. Comput., 2014)

Advanced computational engineering. - Matthias Ehrhardt 001; Lucas Jódar Sánchez; Rafael Jacinto Villanueva Micó (Int. J. Comput. Math., 2014)

Numerical methods and mathematical modelling in biology, medicine and social sciences. - Matthias Ehrhardt 001; Lucas Jódar Sánchez; Rafael Jacinto Villanueva Micó (Int. J. Comput. Math., 2014)

Predicting workaholism in Spain: a discrete mathematical model. - Elena De la Poza; M. del Líbano; I. García; Lucas Jódar; Paloma Merello (Int. J. Comput. Math., 2014)

A random Laplace transform method for solving random mixed parabolic differential problems. - M. Consuelo Casabán; Juan Carlos Cortés; Lucas Jódar (Appl. Math. Comput., 2015)

Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems. - Mohamed Fakharany; Rafael Company; Lucas Jódar (J. Appl. Math., 2015)

A mixed derivative terms removing method in multi-asset option pricing problems. - Rafael Company; Vera N. Egorova; Lucas Jódar; Fazlollah Soleymani (Appl. Math. Lett., 2016)

Computing American option price under regime switching with rationality parameter. - Rafael Company; Vera N. Egorova; Lucas Jódar; Carlos Vázquez 002 (Comput. Math. Appl., 2016)

A new efficient numerical method for solving American option under regime switching model. - Vera N. Egorova; Rafael Company; Lucas Jódar (Comput. Math. Appl., 2016)

Novel methods in computational finance. - Matthias Ehrhardt 001; Lucas Jódar Sánchez; Rafael Company (Int. J. Comput. Math., 2016)

Solving random mixed heat problems: A random integral transform approach. - M. Consuelo Casabán; Juan Carlos Cortés; Lucas Jódar (J. Comput. Appl. Math., 2016)

Constructing positive reliable numerical solution for American call options: A new front-fixing approach. - Rafael Company; Vera N. Egorova; Lucas Jódar (J. Comput. Appl. Math., 2016)

Finite difference methods for pricing American put option with rationality parameter: Numerical analysis and computing. - Rafael Company; Vera N. Egorova; Lucas Jódar; Carlos Vázquez 002 (J. Comput. Appl. Math., 2016)

Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes. - Mohamed Fakharany; Rafael Company; Lucas Jódar (J. Comput. Appl. Math., 2016)

Moving boundary transformation for American call options with transaction cost: finite difference methods and computing. - Vera N. Egorova; Shih-Hau Tan; C.-H. Lai; Rafael Company; Lucas Jódar (Int. J. Comput. Math., 2017)

Mean square solution of Bessel differential equation with uncertainties. - Juan Carlos Cortés; Lucas Jódar Sánchez; L. Villafuerte 001 (J. Comput. Appl. Math., 2017)

A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model. - M.-A. Piqueras; Rafael Company; Lucas Jódar (J. Comput. Appl. Math., 2017)

Solvability of a class of n -TH order linear focal Problems. - Pedro Almenar; Lucas Jódar (Math. Model. Anal., 2017)

On the random gamma function: Theory and computing. - Carlos A. Braumann; Juan Carlos Cortés; Lucas Jódar; L. Villafuerte 001 (J. Comput. Appl. Math., 2018)

Solving linear and quadratic random matrix differential equations using: A mean square approach. The non-autonomous case. - M. Consuelo Casabán; Juan Carlos Cortés; Lucas Jódar (J. Comput. Appl. Math., 2018)

Conditional full stability of positivity-preserving finite difference scheme for diffusion-advection-reaction models. - Rafael Company; Vera N. Egorova; Lucas Jódar (J. Comput. Appl. Math., 2018)

Mathematical modeling and computational methods. - Lucas Jódar; Juan R. Torregrosa; Juan Carlos Cortés; Regino Criado (J. Comput. Appl. Math., 2018)

Computing positive stable numerical solutions of moving boundary problems for concrete carbonation. - M.-A. Piqueras; Rafael Company; Lucas Jódar (J. Comput. Appl. Math., 2018)

Numerical analysis and computing of free boundary problems for concrete carbonation chemical corrosion. - M.-A. Piqueras; Rafael Company; Lucas Jódar (J. Comput. Appl. Math., 2018)

Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach. - Maria-Consuelo Casabán; Juan Carlos Cortés; Lucas Jódar (Math. Model. Anal., 2018)

A Local Radial Basis Function Method for High-Dimensional American Option Pricing Problems. - Rafael Company; Vera N. Egorova; Lucas Jódar; Fazlollah Soleymani (Math. Model. Anal., 2018)

Modeling the Spread of Suicide in Greece. - Elena De la Poza; Lucas Jódar; Georgia Douklia (Complex Syst., 2019)

A front-fixing ETD numerical method for solving jump-diffusion American option pricing problems. - Rafael Company; Vera N. Egorova; Lucas Jódar (Math. Comput. Simul., 2021)

Numerical difference solution of moving boundary random Stefan problems. - M. Consuelo Casabán; Rafael Company; Lucas Jódar (Math. Comput. Simul., 2023)

A random free-boundary diffusive logistic differential model: Numerical analysis, computing and simulation. - M. Consuelo Casabán; Rafael Company; Vera N. Egorova; Lucas Jódar (Math. Comput. Simul., 2024)

A random free-boundary diffusive logistic model: Analysis, computing and simulation. - M. Consuelo Casabán; Rafael Company; Vera N. Egorova; Lucas Jódar (CoRR, 2025)

Numerical solutions of random mean square Fisher-KPP models with advection. - M. Consuelo Casabán; Rafael Company; Lucas Jódar (CoRR, 2025)

Integral Transform Solution of Random Coupled Parabolic Partial Differential Models. - M. Consuelo Casabán; Rafael Company; Vera N. Egorova; Lucas Jódar (CoRR, 2025)

Tracking interfaces in a random logistic free-boundary diffusion problems: a random level set method. - Vera N. Egorova; M. Consuelo Casabán; Rafael Company; Lucas Jódar (Comput. Appl. Math., 2025)