This page has only limited features, please log in for full access.

Unclaimed
Lucas Jódar
Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, Spain

Honors and Awards

The user has no records in this section


Career Timeline

The user has no records in this section.


Short Biography

The user biography is not available.
Following
Followers
Co Authors
The list of users this user is following is empty.
Following: 0 users

Feed

Journal article
Published: 24 April 2021 in Mathematics
Reads 0
Downloads 0

Political corruption is a universal phenomenon. Even though it is a cross-country reality, its level of intensity and the manner of its effect vary worldwide. In Spain, the demonstrated political corruption cases that have been echoed by the media in recent years for their economic, judicial and social significance are merely the tip of the iceberg as regards a problem hidden by many interested parties, plus the shortage of the means to fight against it. This study models and quantifies the population at risk of committing political corruption in Spain by identifying and quantifying the drivers that explain political corruption. Having quantified the problem, the model allows changes to be made in parameters, as well as fiscal, economic and legal measures being simulated, to quantify and better understand their impact on Spanish citizenship. Our results suggest increasing women’s leadership positions to mitigate this problem, plus changes in the political Parties’ Law in Spain and increasing the judiciary system’s budget.

ACS Style

Elena de la Poza; Lucas Jódar; Paloma Merello. Modeling Political Corruption in Spain. Mathematics 2021, 9, 952 .

AMA Style

Elena de la Poza, Lucas Jódar, Paloma Merello. Modeling Political Corruption in Spain. Mathematics. 2021; 9 (9):952.

Chicago/Turabian Style

Elena de la Poza; Lucas Jódar; Paloma Merello. 2021. "Modeling Political Corruption in Spain." Mathematics 9, no. 9: 952.

Journal article
Published: 20 January 2021 in Mathematics
Reads 0
Downloads 0

This paper deals with the search for reliable efficient finite difference methods for the numerical solution of random heterogeneous diffusion reaction models with a finite degree of randomness. Efficiency appeals to the computational challenge in the random framework that requires not only the approximating stochastic process solution but also its expectation and variance. After studying positivity and conditional random mean square stability, the computation of the expectation and variance of the approximating stochastic process is not performed directly but through using a set of sampling finite difference schemes coming out by taking realizations of the random scheme and using Monte Carlo technique. Thus, the storage accumulation of symbolic expressions collapsing the approach is avoided keeping reliability. Results are simulated and a procedure for the numerical computation is given.

ACS Style

María Consuelo Casabán; Rafael Company; Lucas Jódar. Reliable Efficient Difference Methods for Random Heterogeneous Diffusion Reaction Models with a Finite Degree of Randomness. Mathematics 2021, 9, 206 .

AMA Style

María Consuelo Casabán, Rafael Company, Lucas Jódar. Reliable Efficient Difference Methods for Random Heterogeneous Diffusion Reaction Models with a Finite Degree of Randomness. Mathematics. 2021; 9 (3):206.

Chicago/Turabian Style

María Consuelo Casabán; Rafael Company; Lucas Jódar. 2021. "Reliable Efficient Difference Methods for Random Heterogeneous Diffusion Reaction Models with a Finite Degree of Randomness." Mathematics 9, no. 3: 206.

Journal article
Published: 14 January 2021 in Mathematics
Reads 0
Downloads 0

In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also its statistical moments. Hence, appropriate numerical methods should allow for the efficient computation of the expectation and variance. Here, we analyse different numerical methods around the inverse Laplace transform and its evaluation by using several integration techniques, including midpoint quadrature rule, Gauss–Laguerre quadrature and its extensions, and the Talbot algorithm. Simulations, numerical convergence, and computational process time with experiments are shown.

ACS Style

Rafael Company; Vera N. Egorova; Lucas Jódar. Quadrature Integration Techniques for Random Hyperbolic PDE Problems. Mathematics 2021, 9, 160 .

AMA Style

Rafael Company, Vera N. Egorova, Lucas Jódar. Quadrature Integration Techniques for Random Hyperbolic PDE Problems. Mathematics. 2021; 9 (2):160.

Chicago/Turabian Style

Rafael Company; Vera N. Egorova; Lucas Jódar. 2021. "Quadrature Integration Techniques for Random Hyperbolic PDE Problems." Mathematics 9, no. 2: 160.

Research article
Published: 18 November 2020 in Mathematical Methods in the Applied Sciences
Reads 0
Downloads 0

This paper describes a recursive procedure to estimate the smallest eigenvalue of an nth‐order boundary value problem under a wide set of boundary conditions. The procedure yields lower and upper bounds for that eigenvalue as well as an estimation of the associated eigenfunction, both of which are shown to converge to their exact values as the recursion index grows. A simpler version of the procedure is also displayed for the self‐adjoint case.

ACS Style

Pedro Almenar; Lucas Jódar. Estimation of the smallest eigenvalue of an n th‐order linear boundary value problem. Mathematical Methods in the Applied Sciences 2020, 44, 4491 -4514.

AMA Style

Pedro Almenar, Lucas Jódar. Estimation of the smallest eigenvalue of an n th‐order linear boundary value problem. Mathematical Methods in the Applied Sciences. 2020; 44 (6):4491-4514.

Chicago/Turabian Style

Pedro Almenar; Lucas Jódar. 2020. "Estimation of the smallest eigenvalue of an n th‐order linear boundary value problem." Mathematical Methods in the Applied Sciences 44, no. 6: 4491-4514.

Journal article
Published: 28 July 2020 in Sustainability
Reads 0
Downloads 0

The metric management model is a method based on quantitative indicators called metrics and is used to evaluate individuals and organizations. Organizations’ sustainability is related to risk and expectation concepts and both are, in turn, related to the metric management model (MMM). The main objective of the present research work is to analyze the MMM applied to the Spanish university system (SUS) and the propagation of its consequences. The secondary objective is to study alternatives to the metric management system applied to the SUS to avoid its negative socio-economic consequences. Our results reveal how applying the MMM to the SUS, based on the metric evaluation and the ranking monitor model, deteriorates research quality, students’ levels of education and working people’s well-being at university. Finally, university managerial boards, teased with the “mirror” of university rankings and the picture a simulacrum of reality, are still unaware of the damage.

ACS Style

Lucas Jódar; Elena De La Poza. How and Why the Metric Management Model Is Unsustainable: The Case of Spanish Universities from 2005 to 2020. Sustainability 2020, 12, 6064 .

AMA Style

Lucas Jódar, Elena De La Poza. How and Why the Metric Management Model Is Unsustainable: The Case of Spanish Universities from 2005 to 2020. Sustainability. 2020; 12 (15):6064.

Chicago/Turabian Style

Lucas Jódar; Elena De La Poza. 2020. "How and Why the Metric Management Model Is Unsustainable: The Case of Spanish Universities from 2005 to 2020." Sustainability 12, no. 15: 6064.

Journal article
Published: 06 July 2020 in Mathematics
Reads 0
Downloads 0

In this paper, we propose an integral transform method for the numerical solution of random mean square parabolic models, that makes manageable the computational complexity due to the storage of intermediate information when one applies iterative methods. By applying the random Laplace transform method combined with the use of Monte Carlo and numerical integration of the Laplace transform inversion, an easy expression of the approximating stochastic process allows the manageable computation of the statistical moments of the approximation.

ACS Style

María-Consuelo Casabán; Rafael Company; Lucas Jódar. Non-Gaussian Quadrature Integral Transform Solution of Parabolic Models with a Finite Degree of Randomness. Mathematics 2020, 8, 1112 .

AMA Style

María-Consuelo Casabán, Rafael Company, Lucas Jódar. Non-Gaussian Quadrature Integral Transform Solution of Parabolic Models with a Finite Degree of Randomness. Mathematics. 2020; 8 (7):1112.

Chicago/Turabian Style

María-Consuelo Casabán; Rafael Company; Lucas Jódar. 2020. "Non-Gaussian Quadrature Integral Transform Solution of Parabolic Models with a Finite Degree of Randomness." Mathematics 8, no. 7: 1112.

Special issue paper
Published: 08 May 2020 in Mathematical Methods in the Applied Sciences
Reads 0
Downloads 0

Random coupled parabolic partial differential models are solved numerically using random cosine Fourier transform together with non‐Gaussian random numerical integration that captures the highly oscillatory behaviour of the involved integrands. Sufficient condition of spectral type imposed on the random matrices of the system is given so that the approximated stochastic process solution and its statistical moments are numerically convergent. Numerical experiments illustrate the results.

ACS Style

María Consuelo Casabán; Rafael Company; Vera N. Egorova; Lucas Jódar. Integral transform solution of random coupled parabolic partial differential models. Mathematical Methods in the Applied Sciences 2020, 43, 8223 -8236.

AMA Style

María Consuelo Casabán, Rafael Company, Vera N. Egorova, Lucas Jódar. Integral transform solution of random coupled parabolic partial differential models. Mathematical Methods in the Applied Sciences. 2020; 43 (14):8223-8236.

Chicago/Turabian Style

María Consuelo Casabán; Rafael Company; Vera N. Egorova; Lucas Jódar. 2020. "Integral transform solution of random coupled parabolic partial differential models." Mathematical Methods in the Applied Sciences 43, no. 14: 8223-8236.

Journal article
Published: 29 April 2020 in Mathematics
Reads 0
Downloads 0

This paper provides results on the sign of the Green function (and its partial derivatives) of an n-th order boundary value problem subject to a wide set of homogeneous two-point boundary conditions. The dependence of the absolute value of the Green function and some of its partial derivatives with respect to the extremes where the boundary conditions are set is also assessed.

ACS Style

Pedro Almenar Belenguer; Lucas Jódar; Pedro Almenar. The Sign of the Green Function of an n-th Order Linear Boundary Value Problem. Mathematics 2020, 8, 673 .

AMA Style

Pedro Almenar Belenguer, Lucas Jódar, Pedro Almenar. The Sign of the Green Function of an n-th Order Linear Boundary Value Problem. Mathematics. 2020; 8 (5):673.

Chicago/Turabian Style

Pedro Almenar Belenguer; Lucas Jódar; Pedro Almenar. 2020. "The Sign of the Green Function of an n-th Order Linear Boundary Value Problem." Mathematics 8, no. 5: 673.

Journal article
Published: 03 January 2020 in Technological and Economic Development of Economy
Reads 0
Downloads 0

Spanish GDP indicator figures recover while the risk of poverty has not stopped increasing since 2007 given the continuous austerity policies adopted by Governments, while labour and welfare conditions have worsened. A new phenomenon is emerging: the flattening of the Spanish middle class.This study proposes a model to quantify the number of individuals according to their level of precariousness in Spain. The model allows us to predict the behaviour of society in Spain given the mimetic nature of humans by constructing a discrete finite epidemiological model that classifies and quantifies the population in Spain according to its risk of precariousness. Our results show a rise in the precariat of 3% (representing 39% of the total population at the end of the study). The relevance of this study lies in providing measures to governments that can mitigate the negative effects of this problem and stop its growth. Indeed tax measures to help firms to distribute their profits among employees and measures engaging a labour reform to establish limits to the rate of temporary jobs and working overtime should be considered.

ACS Style

Elena De La Poza; Lucas Jodar; Paloma Merello; Adrián Todoli-Signes. EXPLAINING THE RISING PRECARIAT IN SPAIN. Technological and Economic Development of Economy 2020, 26, 165 -185.

AMA Style

Elena De La Poza, Lucas Jodar, Paloma Merello, Adrián Todoli-Signes. EXPLAINING THE RISING PRECARIAT IN SPAIN. Technological and Economic Development of Economy. 2020; 26 (1):165-185.

Chicago/Turabian Style

Elena De La Poza; Lucas Jodar; Paloma Merello; Adrián Todoli-Signes. 2020. "EXPLAINING THE RISING PRECARIAT IN SPAIN." Technological and Economic Development of Economy 26, no. 1: 165-185.

Journal article
Published: 15 December 2019 in Complex Systems
Reads 0
Downloads 0
ACS Style

Elena De La Poza; Universitat Politècnica De València; Lucas Jódar; Georgia Douklia. Modeling the Spread of Suicide in Greece. Complex Systems 2019, 28, 475 -489.

AMA Style

Elena De La Poza, Universitat Politècnica De València, Lucas Jódar, Georgia Douklia. Modeling the Spread of Suicide in Greece. Complex Systems. 2019; 28 (4):475-489.

Chicago/Turabian Style

Elena De La Poza; Universitat Politècnica De València; Lucas Jódar; Georgia Douklia. 2019. "Modeling the Spread of Suicide in Greece." Complex Systems 28, no. 4: 475-489.

Special issue paper
Published: 06 November 2019 in Mathematical Methods in the Applied Sciences
Reads 0
Downloads 0

This paper deals with the construction of numerical stable solutions of random mean square Fisher‐Kolmogorov‐Petrosky‐Piskunov (Fisher‐KPP) models with advection. The construction of the numerical scheme is performed in two stages. Firstly, a semidiscretization technique transforms the original continuous problem into a nonlinear inhomogeneous system of random differential equations. Then, by extending to the random framework, the ideas of the exponential time differencing method, a full vector discretization of the problem addresses to a random vector difference scheme. A sample approach of the random vector difference scheme, the use of properties of Metzler matrices and the logarithmic norm allow the proof of stability of the numerical solutions in the mean square sense. In spite of the computational complexity, the results are illustrated by comparing the results with a test problem where the exact solution is known.

ACS Style

María Consuelo Casabán; Rafael Company; Lucas Jódar. Numerical solutions of random mean square Fisher‐KPP models with advection. Mathematical Methods in the Applied Sciences 2019, 43, 8015 -8031.

AMA Style

María Consuelo Casabán, Rafael Company, Lucas Jódar. Numerical solutions of random mean square Fisher‐KPP models with advection. Mathematical Methods in the Applied Sciences. 2019; 43 (14):8015-8031.

Chicago/Turabian Style

María Consuelo Casabán; Rafael Company; Lucas Jódar. 2019. "Numerical solutions of random mean square Fisher‐KPP models with advection." Mathematical Methods in the Applied Sciences 43, no. 14: 8015-8031.

Journal article
Published: 16 September 2019 in Mathematics
Reads 0
Downloads 0

This paper deals with the construction of numerical solutions of random hyperbolic models with a finite degree of randomness that make manageable the computation of its expectation and variance. The approach is based on the combination of the random Fourier transforms, the random Gaussian quadratures and the Monte Carlo method. The recovery of the solution of the original random partial differential problem throughout the inverse integral transform allows its numerical approximation using Gaussian quadratures involving the evaluation of the solution of the random ordinary differential problem at certain concrete values, which are approximated using Monte Carlo method. Numerical experiments illustrating the numerical convergence of the method are included.

ACS Style

M. Consuelo Casabán; Rafael Company; Lucas Jódar. Numerical Integral Transform Methods for Random Hyperbolic Models with a Finite Degree of Randomness. Mathematics 2019, 7, 853 .

AMA Style

M. Consuelo Casabán, Rafael Company, Lucas Jódar. Numerical Integral Transform Methods for Random Hyperbolic Models with a Finite Degree of Randomness. Mathematics. 2019; 7 (9):853.

Chicago/Turabian Style

M. Consuelo Casabán; Rafael Company; Lucas Jódar. 2019. "Numerical Integral Transform Methods for Random Hyperbolic Models with a Finite Degree of Randomness." Mathematics 7, no. 9: 853.

Research article
Published: 01 July 2019 in Abstract and Applied Analysis
Reads 0
Downloads 0

This paper deals with solving numerically partial integrodifferential equations appearing in biological dynamics models when nonlocal interaction phenomenon is considered. An explicit finite difference scheme is proposed to get a numerical solution preserving qualitative properties of the solution. Gauss quadrature rules are used for the computation of the integral part of the equation taking advantage of its accuracy and low computational cost. Numerical analysis including consistency, stability, and positivity is included as well as numerical examples illustrating the efficiency of the proposed method.

ACS Style

Miguel Ángel Piqueras; R. Company; L. Jódar. Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems. Abstract and Applied Analysis 2019, 2019, 1 -7.

AMA Style

Miguel Ángel Piqueras, R. Company, L. Jódar. Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems. Abstract and Applied Analysis. 2019; 2019 ():1-7.

Chicago/Turabian Style

Miguel Ángel Piqueras; R. Company; L. Jódar. 2019. "Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems." Abstract and Applied Analysis 2019, no. : 1-7.

Research article
Published: 17 December 2018 in Numerical Methods for Partial Differential Equations
Reads 0
Downloads 0

We propose a local mesh‐free method for the Bates–Scott option pricing model, a 2D partial integro‐differential equation (PIDE) arising in computational finance. A Wendland radial basis function (RBF) approach is used for the discretization of the spatial variables along with a linear interpolation technique for the integral operator. The resulting set of ordinary differential equations (ODEs) is tackled via a time integration method. A potential advantage of using RBFs is the small number of discrete equations that need to be solved. Computational experiments are presented to illustrate the performance of the contributed approach.

ACS Style

Rafael Company; Vera N. Egorova; Lucas Jódar; Fazlollah Soleymani. A stable local radial basis function method for option pricing problem under the Bates model. Numerical Methods for Partial Differential Equations 2018, 35, 1035 -1055.

AMA Style

Rafael Company, Vera N. Egorova, Lucas Jódar, Fazlollah Soleymani. A stable local radial basis function method for option pricing problem under the Bates model. Numerical Methods for Partial Differential Equations. 2018; 35 (3):1035-1055.

Chicago/Turabian Style

Rafael Company; Vera N. Egorova; Lucas Jódar; Fazlollah Soleymani. 2018. "A stable local radial basis function method for option pricing problem under the Bates model." Numerical Methods for Partial Differential Equations 35, no. 3: 1035-1055.

Journal article
Published: 01 October 2018 in Journal of Computational and Applied Mathematics
Reads 0
Downloads 0
ACS Style

Rafael Company; Vera N. Egorova; Lucas Jódar. Conditional full stability of positivity-preserving finite difference scheme for diffusion–advection-reaction models. Journal of Computational and Applied Mathematics 2018, 341, 157 -168.

AMA Style

Rafael Company, Vera N. Egorova, Lucas Jódar. Conditional full stability of positivity-preserving finite difference scheme for diffusion–advection-reaction models. Journal of Computational and Applied Mathematics. 2018; 341 ():157-168.

Chicago/Turabian Style

Rafael Company; Vera N. Egorova; Lucas Jódar. 2018. "Conditional full stability of positivity-preserving finite difference scheme for diffusion–advection-reaction models." Journal of Computational and Applied Mathematics 341, no. : 157-168.

Journal article
Published: 01 July 2018 in Journal of Computational and Applied Mathematics
Reads 0
Downloads 0

This paper deals with the construction, analysis and computation of a numerical method to solve a moving boundary coupled nonlinear system of parabolic reaction–diffusion equations, arising in concrete carbonation problems. By means of a front-fixing transformation, the domain of the problem becomes fixed, and the position of the moving carbonation front has to be determined together with the mass concentrations of the involved chemical species. Qualitative properties like positivity and stability of the numerical solution are established. Spatial monotone behaviour of the solution is also proved. Numerical examples illustrate these results.

ACS Style

Miguel Ángel Piqueras; R. Company; L. Jódar. Numerical analysis and computing of free boundary problems for concrete carbonation chemical corrosion. Journal of Computational and Applied Mathematics 2018, 336, 297 -316.

AMA Style

Miguel Ángel Piqueras, R. Company, L. Jódar. Numerical analysis and computing of free boundary problems for concrete carbonation chemical corrosion. Journal of Computational and Applied Mathematics. 2018; 336 ():297-316.

Chicago/Turabian Style

Miguel Ángel Piqueras; R. Company; L. Jódar. 2018. "Numerical analysis and computing of free boundary problems for concrete carbonation chemical corrosion." Journal of Computational and Applied Mathematics 336, no. : 297-316.

Original article
Published: 14 June 2018 in Culture, Medicine, and Psychiatry
Reads 0
Downloads 0

A relevant proportion of deaths by suicide have been attributed to other causes that produce the number of suicides remains hidden. The existence of a hidden number of cases is explained by the nature of the problem. Problems like this involve violence, and produce fear and social shame in victims’ families. The existence of violence, fear and social shame experienced by victims favours a considerable number of suicides, identified as accidents or natural deaths. This paper proposes a short time discrete compartmental mathematical model to measure the suicidal risk for the case of Spain. The compartment model classifies and quantifies the amount of the Spanish population within the age intervals (16, 78) by their degree of suicide risk and their changes over time. Intercompartmental transits are due to the combination of quantitative and qualitative factors. Results are computed and simulations are performed to analyze the sensitivity of the model under uncertain coefficients.

ACS Style

Elena De La Poza; Lucas Jódar. A Short-Term Population Model of the Suicide Risk: The Case of Spain. Culture, Medicine, and Psychiatry 2018, 42, 800 -820.

AMA Style

Elena De La Poza, Lucas Jódar. A Short-Term Population Model of the Suicide Risk: The Case of Spain. Culture, Medicine, and Psychiatry. 2018; 42 (4):800-820.

Chicago/Turabian Style

Elena De La Poza; Lucas Jódar. 2018. "A Short-Term Population Model of the Suicide Risk: The Case of Spain." Culture, Medicine, and Psychiatry 42, no. 4: 800-820.

Journal article
Published: 01 June 2018 in Journal of Computational and Applied Mathematics
Reads 0
Downloads 0
ACS Style

C.A. Braumann; J.-C. Cortés; Lucas Jodar; L. Villafuerte. On the random gamma function: Theory and computing. Journal of Computational and Applied Mathematics 2018, 335, 142 -155.

AMA Style

C.A. Braumann, J.-C. Cortés, Lucas Jodar, L. Villafuerte. On the random gamma function: Theory and computing. Journal of Computational and Applied Mathematics. 2018; 335 ():142-155.

Chicago/Turabian Style

C.A. Braumann; J.-C. Cortés; Lucas Jodar; L. Villafuerte. 2018. "On the random gamma function: Theory and computing." Journal of Computational and Applied Mathematics 335, no. : 142-155.

Journal article
Published: 01 March 2018 in Journal of Computational and Applied Mathematics
Reads 0
Downloads 0
ACS Style

Lucas Jodar; Juan R. Torregrosa; Juan C. Cortés; Regino Criado. Mathematical modeling and computational methods. Journal of Computational and Applied Mathematics 2018, 330, 661 -665.

AMA Style

Lucas Jodar, Juan R. Torregrosa, Juan C. Cortés, Regino Criado. Mathematical modeling and computational methods. Journal of Computational and Applied Mathematics. 2018; 330 ():661-665.

Chicago/Turabian Style

Lucas Jodar; Juan R. Torregrosa; Juan C. Cortés; Regino Criado. 2018. "Mathematical modeling and computational methods." Journal of Computational and Applied Mathematics 330, no. : 661-665.

Journal article
Published: 01 March 2018 in Journal of Computational and Applied Mathematics
Reads 0
Downloads 0
ACS Style

Miguel Ángel Piqueras; R. Company; L. Jódar. Computing positive stable numerical solutions of moving boundary problems for concrete carbonation. Journal of Computational and Applied Mathematics 2018, 330, 794 -805.

AMA Style

Miguel Ángel Piqueras, R. Company, L. Jódar. Computing positive stable numerical solutions of moving boundary problems for concrete carbonation. Journal of Computational and Applied Mathematics. 2018; 330 ():794-805.

Chicago/Turabian Style

Miguel Ángel Piqueras; R. Company; L. Jódar. 2018. "Computing positive stable numerical solutions of moving boundary problems for concrete carbonation." Journal of Computational and Applied Mathematics 330, no. : 794-805.