Lucas Jódar

Orcid: 0000-0002-9672-6249

Affiliations:
  • Polytechnic University of Valencia, Spain


According to our database1, Lucas Jódar authored at least 117 papers between 1990 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A random free-boundary diffusive logistic differential model: Numerical analysis, computing and simulation.
Math. Comput. Simul., 2024

2023
Numerical difference solution of moving boundary random Stefan problems.
Math. Comput. Simul., 2023

2021
A front-fixing ETD numerical method for solving jump-diffusion American option pricing problems.
Math. Comput. Simul., 2021

2019
Modeling the Spread of Suicide in Greece.
Complex Syst., 2019

2018
A Local Radial Basis Function Method for High-Dimensional American Option Pricing Problems.
Math. Model. Anal., 2018

Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach.
Math. Model. Anal., 2018

Numerical analysis and computing of free boundary problems for concrete carbonation chemical corrosion.
J. Comput. Appl. Math., 2018

Computing positive stable numerical solutions of moving boundary problems for concrete carbonation.
J. Comput. Appl. Math., 2018

Mathematical modeling and computational methods.
J. Comput. Appl. Math., 2018

Conditional full stability of positivity-preserving finite difference scheme for diffusion-advection-reaction models.
J. Comput. Appl. Math., 2018

Solving linear and quadratic random matrix differential equations using: A mean square approach. The non-autonomous case.
J. Comput. Appl. Math., 2018

On the random gamma function: Theory and computing.
J. Comput. Appl. Math., 2018

2017
Solvability of a class of n -TH order linear focal Problems.
Math. Model. Anal., 2017

A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model.
J. Comput. Appl. Math., 2017

Mean square solution of Bessel differential equation with uncertainties.
J. Comput. Appl. Math., 2017

Moving boundary transformation for American call options with transaction cost: finite difference methods and computing.
Int. J. Comput. Math., 2017

2016
Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes.
J. Comput. Appl. Math., 2016

Finite difference methods for pricing American put option with rationality parameter: Numerical analysis and computing.
J. Comput. Appl. Math., 2016

Constructing positive reliable numerical solution for American call options: A new front-fixing approach.
J. Comput. Appl. Math., 2016

Solving random mixed heat problems: A random integral transform approach.
J. Comput. Appl. Math., 2016

Novel methods in computational finance.
Int. J. Comput. Math., 2016

A new efficient numerical method for solving American option under regime switching model.
Comput. Math. Appl., 2016

Computing American option price under regime switching with rationality parameter.
Comput. Math. Appl., 2016

A mixed derivative terms removing method in multi-asset option pricing problems.
Appl. Math. Lett., 2016

2015
Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems.
J. Appl. Math., 2015

A random Laplace transform method for solving random mixed parabolic differential problems.
Appl. Math. Comput., 2015

2014
Predicting workaholism in Spain: a discrete mathematical model.
Int. J. Comput. Math., 2014

Numerical methods and mathematical modelling in biology, medicine and social sciences.
Int. J. Comput. Math., 2014

Advanced computational engineering.
Int. J. Comput. Math., 2014

Positive finite difference schemes for a partial integro-differential option pricing model.
Appl. Math. Comput., 2014

Closed form numerical solutions of variable coefficient linear second-order elliptic problems.
Appl. Math. Comput., 2014

2013
Modeling Spanish anxiolytic consumption: Economic, demographic and behavioral influences.
Math. Comput. Model., 2013

Corrigendum to "Preface: The challenge of modelling aggregated human behaviour" [Math. Comput. Modelling 57 (2013) 1617-1618].
Math. Comput. Model., 2013

The challenge of modelling aggregated human behaviour.
Math. Comput. Model., 2013

Mathematical modeling of the spread of divorce in Spain.
Math. Comput. Model., 2013

2012
Random mixed hyperbolic models: Numerical analysis and computing.
Math. Comput. Simul., 2012

A consistent stable numerical scheme for a nonlinear option pricing model in illiquid markets.
Math. Comput. Simul., 2012

An upper bound for the distance between a zero and a critical point of a solution of a second order linear differential equation.
Comput. Math. Appl., 2012

Solving initial and two-point boundary value linear random differential equations: A mean square approach.
Appl. Math. Comput., 2012

2011
Towards the mathematical modelling of human behaviour.
Math. Comput. Model., 2011

A discrete mathematical model for addictive buying: Predicting the affected population evolution.
Math. Comput. Model., 2011

Numerical solution of random differential models.
Math. Comput. Model., 2011

A comparative study of the numerical approximation of the random Airy differential equation.
Comput. Math. Appl., 2011

Numerical analysis and computing of a non-arbitrage liquidity model with observable parameters for derivatives.
Comput. Math. Appl., 2011

Solving the random Legendre differential equation: Mean square power series solution and its statistical functions.
Comput. Math. Appl., 2011

Asymptotic behaviour of the solutions of second order functional differential equations.
Comput. Math. Appl., 2011

Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions.
Appl. Math. Lett., 2011

Solving Riccati time-dependent models with random quadratic coefficients.
Appl. Math. Lett., 2011

A Lyapunov inequality for a second order nonlinear differential equation.
Appl. Math. Lett., 2011

Polynomial approximation of nonlinear differential systems with prefixed accuracy.
Appl. Math. Comput., 2011

Random Hermite differential equations: Mean square power series solutions and statistical properties.
Appl. Math. Comput., 2011

2010
Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations.
Trans. Comput. Sci., 2010

Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV).
Math. Comput. Simul., 2010

Solving an analytic dynamic Leontief model with time dependent capital matrix.
Math. Comput. Model., 2010

Positive solutions of discrete dynamic Leontief input-output model with possibly singular capital matrix.
Math. Comput. Model., 2010

Corrigendum to "Special issue: Mathematical models in medicine, business & engineering 2009" [Math. Comput. Modelling 52 (7-8) (2010)].
Math. Comput. Model., 2010

Mathematical models in medicine, business and engineering 2009: Why applied mathematicians should interact with others and open ways and practices.
Math. Comput. Model., 2010

Numerical analysis and computing for option pricing models in illiquid markets.
Math. Comput. Model., 2010

Random differential operational calculus: Theory and applications.
Comput. Math. Appl., 2010

Random Airy type differential equations: Mean square exact and numerical solutions.
Comput. Math. Appl., 2010

Computing option pricing models under transaction costs.
Comput. Math. Appl., 2010

Numerical analysis and simulation of option pricing problems modeling illiquid markets.
Comput. Math. Appl., 2010

Mean square power series solution of random linear differential equations.
Comput. Math. Appl., 2010

New bounds for the solutions of second order linear differential equations.
Comput. Math. Appl., 2010

Analytic stochastic process solutions of second-order random differential equations.
Appl. Math. Lett., 2010

Random matrix difference models arising in long-term medical drug strategies.
Appl. Math. Comput., 2010

2009
Random linear-quadratic mathematical models: Computing explicit solutions and applications.
Math. Comput. Simul., 2009

Preface.
Math. Comput. Model., 2009

A numerical method for European Option Pricing with transaction costs nonlinear equation.
Math. Comput. Model., 2009

Dynamics of a model of Toxoplasmosis disease in human and cat populations.
Comput. Math. Appl., 2009

Improving explicit bounds for the solutions of second order linear differential equations.
Comput. Math. Appl., 2009

Explicit bounds for the solutions of second order linear differential equations.
Comput. Math. Appl., 2009

Piecewise finite series solution of nonlinear initial value differential problem.
Appl. Math. Comput., 2009

A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme.
Appl. Math. Comput., 2009

2008
Nonstandard numerical methods for a mathematical model for influenza disease.
Math. Comput. Simul., 2008

Modeling the spread of seasonal epidemiological diseases: Theory and applications.
Math. Comput. Model., 2008

Modeling dynamics of infant obesity in the region of Valencia, Spain.
Comput. Math. Appl., 2008

Random analytic solution of coupled differential models with uncertain initial condition and source term.
Comput. Math. Appl., 2008

An efficient method for option pricing with discrete dividend payment.
Comput. Math. Appl., 2008

2007
Computing mean square approximations of random diffusion models with source term.
Math. Comput. Simul., 2007

Numerical solution of random differential equations: A mean square approach.
Math. Comput. Model., 2007

Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function.
Math. Comput. Model., 2007

Mean square numerical solution of random differential equations: Facts and possibilities.
Comput. Math. Appl., 2007

Constructing unconditionally time-stable numerical solutions for mixed parabolic problems.
Comput. Math. Appl., 2007

Computing the variable coefficient telegraph equation using a discrete eigenfunctions method.
Comput. Math. Appl., 2007

Conditional uniform time stable numerical solutions of coupled hyperbolic systems.
Appl. Math. Lett., 2007

Constructing accurate polynomial approximations for nonlinear differential initial value problems.
Appl. Math. Comput., 2007

2006
Constructing approximate diffusion processes with uncertain data.
Math. Comput. Simul., 2006

A semi-implicit conservation element-solution element method for chemical species transport simulation to tapered ducts of internal combustion engine.
Math. Comput. Simul., 2006

Laguerre matrix polynomial series expansion: Theory and computer applications.
Math. Comput. Model., 2006

Numerical solution of modified Black-Scholes equation pricing stock options with discrete dividend.
Math. Comput. Model., 2006

Closed-form analytic solutions for dilogarithmic double integrals.
Appl. Math. Lett., 2006

A Nonuniform Semi-implicit Numerical Method for Computing Unsteady Chemical Transport Flow in Tapered Ducts.
Proceedings of the Positive Systems, 2006

2005
An improvement of the finite-element method for computing the electric field of waveguides with complex geometry.
Math. Comput. Model., 2005

The complementary error matrix function and its role solving coupled diffusion mathematical models.
Math. Comput. Model., 2005

Chaos in the one-dimensional wave equation.
Appl. Math. Lett., 2005

A new direct method for solving the Black-Scholes equation.
Appl. Math. Lett., 2005

A low computational cost numerical method for solving mixed diffusion problems.
Appl. Math. Comput., 2005

Exact and numerical solution of Black-Scholes matrix equation.
Appl. Math. Comput., 2005

2004
Bounding hermite matrix polynomials.
Math. Comput. Model., 2004

Nonisolated slow convergence in discrete dynamical systems.
Appl. Math. Lett., 2004

An algorithm for solving variable coefficient hyperbolic problems in a semi-infinite mediu.
Appl. Math. Lett., 2004

2003
Asymptotics of the modified bessel and the incomplete gamma matrix functions.
Appl. Math. Lett., 2003

Exact solution of variable coefficient mixed hyperbolic partial differential problems.
Appl. Math. Lett., 2003

Accurate numerical solution of initial value problems for the time dependent convection-diffusion equation.
Appl. Math. Lett., 2003

2002
Solving Dirichlet's problem in a rectangle for separate variable coefficient elliptic equations.
Appl. Math. Lett., 2002

Constructing eigenfunctions of strongly coupled parabolic boundary value systems.
Appl. Math. Lett., 2002

Continuous numerical solution of coupled parabolic initial value problems.
Appl. Math. Lett., 2002

Stable numerical solution of strongly coupled mixed diffusion problems.
Appl. Math. Lett., 2002

2001
Asymptotic expressions of certain type of matrix integrals.
Appl. Math. Lett., 2001

Convergent matrix pencils.
Appl. Math. Lett., 2001

2000
The growth of laguerre matrix polynomials on bounded intervals.
Appl. Math. Lett., 2000

Solving ODEs arising from non-selfadjoint Hamiltonian eigenproblems.
Adv. Comput. Math., 2000

1999
Constructive stable numerical solutions for strongly coupled diffusion mixed partial differential systems.
Int. J. Comput. Math., 1999

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

1992
Evaluation of a rational function.
Numer. Algorithms, 1992

1990
Computing accurate solutions for coupled systems of second order partial differential equations.
Int. J. Comput. Math., 1990


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