## Jódar Sanchez, Lucas Antonio

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 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
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### 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.
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### 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
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### 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)

### 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 0933.33004
Jódar, L.; Cortés, J. C.
1998
Laguerre matrix polynomials and systems of second-order differential equations. Zbl 0821.34010
Jódar, L.; Company, R.; Navarro, E.
1994
Hermite matrix polynomials and second order matrix differential equations. Zbl 0858.15014
Jódar, L.; Company, R.
1996
Some properties of gamma and beta matrix functions. Zbl 1074.33002
Jódar, L.; Cortés, J. C.
1998
Random differential operational calculus: theory and applications. Zbl 1189.60126
Villafuerte, L.; Braumann, C. A.; Cortés, J.-C.; Jódar, L.
2010
Some applications of the Hermite matrix polynomials series expansions. Zbl 0929.33006
Defez, Emilio; Jódar, Lucas
1998
Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018
Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C.
2008
Numerical solution of random differential equations: a mean square approach. Zbl 1140.65012
Cortés, J. C.; Jódar, L.; Villafuerte, L.
2007
Chebyshev matrix polynomials and second order matrix differential equations. Zbl 0998.15034
Defez, Emilio; Jódar, Lucas
2002
Orthogonal matrix polynomials and systems of second order differential equations. Zbl 0892.33004
Jódar, L.; Company, R.; Ponsoda, E.
1995
Analytic-numerical approximating processes of diffusion equation with data uncertainty. Zbl 1078.65005
Cortés, J. C.; Sevilla-Peris, P.; Jódar, L.
2005
Mean square numerical solution of random differential equations: Facts and possibilities. Zbl 1127.65003
Cortés, J. C.; Jódar, L.; Villafuerte, L.
2007
Closed form general solution of the hypergeometric matrix differential equation. Zbl 0985.33006
Jódar, L.; Cortés, J. C.
2000
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336
Jódar, L.; Villanueva, R. J.; Arenas, A.
2008
On Hermite matrix polynomials and Hermite matrix functions. Zbl 0911.15015
Jódar, Lucas; Defez, Emilio
1998
Jacobi matrix differential equation, polynomial solutions, and their properties. Zbl 1069.33007
Defez, E.; Jódar, L.; Law, A.
2004
Random linear-quadratic mathematical models: Computing explicit solutions and applications. Zbl 1183.65005
Cortés, J. C.; Jódar, L.; Villafuerte, L.
2009
On Laguerre matrix polynomials. Zbl 0990.33008
Jódar, Lucas; Sastre, Jorge
1998
Random Airy type differential equations: mean square exact and numerical solutions. Zbl 1201.60068
Cortés, J.-C.; Jódar, L.; Camacho, F.; Villafuerte, L.
2010
A numerical method for European option pricing with transaction costs nonlinear equation. Zbl 1185.91174
Company, Rafael; Jódar, Lucas; Pintos, José-Ramón
2009
Asymptotics of the modified Bessel and the incomplete gamma matrix functions. Zbl 1048.33002
Sastre, J.; Jódar, L.
2003
Random Hermite differential equations: mean square power series solutions and statistical properties. Zbl 1247.60101
Calbo, G.; Cortés, J.-C.; Jódar, L.
2011
Modeling dynamics of infant obesity in the region of Valencia, Spain. Zbl 1155.92329
Jódar, Lucas; Santonja, Francisco J.; González-Parra, Gilberto
2008
Accurate continuous numerical solutions of time dependent mixed partial differential problems. Zbl 0857.65097
Jódar, L.; Almenar, P.
1996
Non-autonomous Riccati-type matrix differential equations: Existence interval, construction of continuous numerical solutions and error bounds. Zbl 0826.65066
Jódar, Lucas; Ponsoda, Enrique
1995
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201
González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas
2009
A new direct method for solving the Black-Scholes equation. Zbl 1068.35005
Jódar, L.; Sevilla-Peris, P.; Cortés, J. C.; Sala, R.
2005
Three-term recurrences and matrix orthogonal polynomials. Zbl 0962.05064
Defez, E.; Jódar, L.; Law, A.; Ponsoda, E.
2000
Exact and analytic-numerical solutions of strongly coupled mixed diffusion problems. Zbl 0949.35033
Jódar, L.; Navarro, E.; Martin, J. A.
2000
Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318
Arenas, Abraham J.; González, Gilberto; Jódar, Lucas
2008
Computing mean square approximations of random diffusion models with source term. Zbl 1135.65301
Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J.
2007
Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications. Zbl 0853.42022
Jódar, L.; Defez, E.; Ponsoda, E.
1996
A resolution method for Riccati differential systems coupled in their quadratic terms. Zbl 0663.65076
Jodar, L.; Abou-Kandil, H.
1988
Boundary value problems for second-order differential operator equations. Zbl 0614.34030
Jódar, Lucas
1986
Rectangular co-solutions of polynomial matrix equations and applications. Zbl 0718.15007
Jodar, L.; Navarro, E.
1991
A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model. Zbl 1349.92129
Piqueras, M.-A.; Company, R.; Jódar, L.
2017
Mathematical modelling of social obesity epidemic in the region of Valencia, Spain. Zbl 1298.37080
Santonja, F.-J.; Villanueva, R.-J.; Jódar, L.; Gonzalez-Parra, G.
2010
Constructing positive reliable numerical solution for American call options: a new front-fixing approach. Zbl 1329.91138
Company, R.; Egorova, V. N.; Jódar, L.
2016
A connection between Laguerre’s and Hermite’s matrix polynomials. Zbl 1074.33011
Jódar, L.; Defez, E.
1998
Computing accurate solution for coupled systems of second order partial differential equations. II. Zbl 0813.65114
Jódar, Lucas
1992
Continuous numerical solutions and error bounds for time dependent systems of partial differential equations: Mixed problems. Zbl 0831.65102
Jódar, L.; Ponsoda, E.
1995
A matrix approach to the analytic-numerical solution of mixed partial differential systems. Zbl 0839.65105
Navarro, E.; Ponsoda, E.; Jódar, L.
1995
The growth of Laguerre matrix polynomials on bounded intervals. Zbl 1112.33300
Jódar, L.; Sastre, J.
2000
Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems. Zbl 1001.65073
Chen, B.; Garcia Bolós, R.; Jódar, L.
2001
On complete set of solutions for polynomial matrix equations. Zbl 0706.15014
Jódar, L.; Navarro, E.
1990
Positive finite difference schemes for a partial integro-differential option pricing model. Zbl 1338.91152
Fakharany, M.; Company, R.; Jódar, L.
2014
Numerical analysis and simulation of option pricing problems modeling illiquid markets. Zbl 1193.91152
Company, R.; Jódar, L.; Ponsoda, E.; Ballester, C.
2010
A consistent stable numerical scheme for a nonlinear option pricing model in illiquid markets. Zbl 1262.91146
Company, Rafael; Jódar, Lucas; Pintos, José-Ramón
2012
Computing the variable coefficient telegraph equation using a discrete eigenfunctions method. Zbl 1127.65073
Aloy, R.; Casabán, M. C.; Caudillo-Mata, L. A.; Jódar, L.
2007
Explicit solutions for a system of coupled Lyapunov differential matrix equations. Zbl 0595.34056
Jodar, L.; Mariton, M.
1987
Explicit solutions for second order operator differential equations with two boundary value conditions. Zbl 0651.34062
Jódar, Lucas
1988
An implicit difference method for the numerical solution of coupled systems of partial differential equations. Zbl 0744.65058
Jódar, L.; Legua Fernandez, M.
1991
Random analytic solution of coupled differential models with uncertain initial condition and source term. Zbl 1155.60320
Calbo, Gema; Cortés, Juan Carlos; Jódar, Lucas
2008
Matrix quadrature integration and orthogonal matrix polynomials. Zbl 0836.33004
Jódar, Lucas; Defez, Emilio; Ponsoda, Enrique
1995
Rational matrix approximation with a priori error bounds for non-symmetric matrix Riccati equations with analytic coefficients. Zbl 0917.65064
Jódar, Lucas; Cortés López, J. C.
1998
Closed analytical solution of Riccati type matrix differential equations. Zbl 0765.34001
Jódar, L.; Navarro, E.
1992
A mixed derivative terms removing method in multi-asset option pricing problems. Zbl 1342.35400
Company, R.; Egorova, V. N.; Jódar, L.; Soleymani, F.
2016
Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J.
2009
Mean square power series solution of random linear differential equations. Zbl 1189.34105
Calbo, G.; Cortés, J.-C.; Jódar, L.
2010
Constructive polynomial approximation with a priori error bounds for nonlinear initial value differential problems. Zbl 0947.34007
Jódar, L.; Posso, A. E.; Casteljón, H.
1999
Bounding Hermite matrix polynomials. Zbl 1061.33007
Defez, E.; Hervás, A.; Jódar, L.; Law, A.
2004
Explicit expressions for Sturm-Liouville operator problems. Zbl 0595.34022
Jodar, Lucas
1987
Bessel matrix functions: Explicit solution of coupled Bessel type equations. Zbl 0846.34004
Jodar, L.; Company, R.; Navarro, E.
1994
Mixed problems for the time-dependent telegraph equation: Continuous numerical solutions with a priori error bounds. Zbl 0881.35064
Almenar, P.; Jódar, L.; Martin, J. A.
1997
Kronecker products and coupled matrix Riccati differential systems. Zbl 0678.34015
Jódar, L.; Abou-Kandil, H.
1989
Solving second-order matrix differential equations with regular singular points avoiding the increase of the problem dimension. Zbl 0766.34008
Jódar, Lucas; Legua, Matilde
1993
Mixed problems for separated variable coefficient wave equations: Analytic-numerical solutions with a priori error bounds. Zbl 1001.65109
Almenar, Pedro; Jódar, Lucas
2001
The truncation error of the two-variable Chebyshev series expansions. Zbl 1064.65085
Chen, B.; García-Bolós, R.; Jódar, L.; Roselló, M. D.
2003
Infinite matrix products and the representation of the matrix gamma function. Zbl 1383.15026
Cortés, J.-C.; Jódar, L.; Solís, Francisco J.; Ku-Carrillo, Roberto
2015
Laguerre matrix polynomial series expansion: theory and computer applications. Zbl 1137.15014
Sastre, J.; Defez, E.; Jódar, L.
2006
Dynamics of a model of toxoplasmosis disease in human and cat populations. Zbl 1186.34063
González-Parra, Gilberto C.; Arenas, Abraham J.; Aranda, Diego F.; Villanueva, Rafael J.; Jódar, Lucas
2009
Removing the correlation term in option pricing Heston model: numerical analysis and computing. Zbl 1293.91188
Company, R.; Jódar, L.; Fakharany, M.; Casabán, M.-C.
2013
Solving initial and two-point boundary value linear random differential equations: a mean square approach. Zbl 1298.34103
Cortés, J.-C.; Jódar, L.; Roselló, M.-D.; Villafuerte, L.
2012
Solving the random Legendre differential equation: mean square power series solution and its statistical functions. Zbl 1221.65008
Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L.
2011
Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions. Zbl 1219.65157
Sastre, J.; Defez, E.; Jódar, L.
2011
Solving Riccati time-dependent models with random quadratic coefficients. Zbl 1252.65013
Cortés, J.-C.; Jódar, L.; Company, R.; Villafuerte, L.
2011
Numerical solution of random differential initial value problems: multistep methods. Zbl 1206.65019
Cortés, J. C.; Jódar, L.; Villafuerte, L.
2011
Finite difference methods for pricing American put option with rationality parameter: numerical analysis and computing. Zbl 1349.65280
Company, Rafael; Egorova, Vera; Jódar, Lucas; Vázquez, Carlos
2016
Analytic numerical solution of coupled semi-infinite diffusion problems. Zbl 0839.35103
Jódar, L.; Goberna, D.
1995
Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes. Zbl 1342.91041
Fakharany, M.; Company, R.; Jódar, L.
2016
Analytic numerical approximation with a priori error bound for the wave equation with time dependent coefficient. Zbl 0992.65109
Jódar, L.; Posso, A. E.
1999
Boundary-value problems and Cauchy problems for the second-order Euler operator differential equation. Zbl 0624.34014
Jódar, Lucas
1987
Explicit bounds for the solutions of second order linear differential equations. Zbl 1186.34044
Almenar, Pedro; Jódar, Lucas
2009
Positive solutions of discrete dynamic Leontief input-output model with possibly singular capital matrix. Zbl 1205.91113
Jódar, L.; Merello, P.
2010
Boundary problems and periodic Riccati equations. Zbl 0588.34017
Hernández, V.; Jódar, L.
1985
Mean square solution of Bessel differential equation with uncertainties. Zbl 1353.60061
Cortés, J.-C.; Jódar, L.; Villafuerte, L.
2017
Continuous numerical solutions of coupled mixed partial differential systems using Fer’s factorization. Zbl 0946.65095
Blanes, Sergio; Jódar, Lucas
1999
The stable discrete numerical solution of strongly coupled mixed partial differential systems. Zbl 0974.65081
Jódar, L.; Sánchez, J. A.; Ferrer, M. V.
2000
Continuous numerical solutions and error bounds for matrix differential equations. Zbl 0847.65045
Jódar, L.; Ponsoda, E.
1993
Constructing eigenfunctions of strongly coupled parabolic boundary value systems. Zbl 1014.35065
Navarro, E.; Jódar, L.; Ferrer, M. V.
2002
Computing continuous numerical solutions of matrix differential equations. Zbl 0819.65107
Jodar, L.; Ponsoda, E.
1995
Exact solution of coupled mixed diffusion problems with coupled boundary conditions. Zbl 1076.35519
Camacho, J.; Jódar, L.; Navarro, E.
1998
Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations. Zbl 1042.34511
Blanes, S.; Jódar, L.; Ponsoda, E.
2000
Analytic stochastic process solutions of second-order random differential equations. Zbl 1402.60083
Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L.
2010
Numerical solution of modified Black-Scholes equation pricing stock options with discrete dividend. Zbl 1133.91412
Company, R.; González, A. L.; Jódar, L.
2006
Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function. Zbl 1135.91018
Company, R.; Jódar, L.; Rubio, G.; Villanueva, R. J.
2007
Boundary problems for Riccati and Lyapunov equations. Zbl 0569.47040
Jodar, Lucas
1986
Solving the random diffusion model in an infinite medium: a mean square approach. Zbl 1429.60058
Casabán, M.-C.; Company, R.; Cortés, J.-C.; Jódar, L.
2014
Solving American option pricing models by the front fixing method: numerical analysis and computing. Zbl 1470.91324
Company, R.; Egorova, V. N.; Jódar, L.
2014
Discrete numerical solution of strongly coupled mixed diffusion problems. Zbl 0955.65060
Jódar, L.; Sánchez Cano, J. A.
2000
Estimation of the smallest eigenvalue of an $$n$$th-order linear boundary value problem. Zbl 1478.34024
Almenar, Pedro; Jódar, Lucas
2021
Solving two-phase freezing Stefan problems: stability and monotonicity. Zbl 1452.35262
Piqueras, Miguel A.; Company, Rafael; Jódar, Lucas
2020
Integral transform solution of random coupled parabolic partial differential models. Zbl 1452.35266
Casabán, María Consuelo; Company, Rafael; Egorova, Vera N.; Jódar, Lucas
2020
On the random gamma function: theory and computing. Zbl 1440.60059
Braumann, C. A.; Cortés, J.-C.; Jódar, L.; Villafuerte, L.
2018
Conditional full stability of positivity-preserving finite difference scheme for diffusion-advection-reaction models. Zbl 1427.65154
Company, Rafael; Egorova, Vera N.; Jódar, Lucas
2018
Computing positive stable numerical solutions of moving boundary problems for concrete carbonation. Zbl 1376.92076
Piqueras, M.-A.; Company, R.; Jódar, L.
2018
Numerical analysis and computing of free boundary problems for concrete carbonation chemical corrosion. Zbl 1383.92101
Piqueras, M.-A.; Company, R.; Jódar, L.
2018
A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model. Zbl 1349.92129
Piqueras, M.-A.; Company, R.; Jódar, L.
2017
Mean square solution of Bessel differential equation with uncertainties. Zbl 1353.60061
Cortés, J.-C.; Jódar, L.; Villafuerte, L.
2017
Moving boundary transformation for American call options with transaction cost: finite difference methods and computing. Zbl 1364.91151
Egorova, V. N.; Tan, S.-H.; Lai, C.-H.; Company, R.; Jódar, L.
2017
Numerical analysis of novel finite difference methods. Zbl 1420.91504
Company, Rafael; Egorova, Vera N.; El Fakharany, Mohamed; Jódar, Lucas; Soleymani, Fazlollah
2017
Constructing positive reliable numerical solution for American call options: a new front-fixing approach. Zbl 1329.91138
Company, R.; Egorova, V. N.; Jódar, L.
2016
A mixed derivative terms removing method in multi-asset option pricing problems. Zbl 1342.35400
Company, R.; Egorova, V. N.; Jódar, L.; Soleymani, F.
2016
Finite difference methods for pricing American put option with rationality parameter: numerical analysis and computing. Zbl 1349.65280
Company, Rafael; Egorova, Vera; Jódar, Lucas; Vázquez, Carlos
2016
Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes. Zbl 1342.91041
Fakharany, M.; Company, R.; Jódar, L.
2016
A new efficient numerical method for solving American option under regime switching model. Zbl 1443.91327
Egorova, Vera N.; Company, Rafael; Jódar, Lucas
2016
Solving random mixed heat problems: a random integral transform approach. Zbl 1330.35551
Casabán, M.-C.; Cortés, J.-C.; Jódar, L.
2016
Computing American option price under regime switching with rationality parameter. Zbl 1410.91480
Company, Rafael; Egorova, Vera; Jódar, Lucas; Vázquez, Carlos
2016
Editorial. Novel methods in computational finance. Zbl 1347.00081
2016
Solving linear and quadratic random matrix differential equations: a mean square approach. Zbl 1480.34084
Casabán, M.-C.; Cortés, J.-C.; Jódar, L.
2016
Improving results on solvability of a class of $$n$$th-order linear boundary value problems. Zbl 1354.34040
Almenar, Pedro; Jódar, Lucas
2016
Infinite matrix products and the representation of the matrix gamma function. Zbl 1383.15026
Cortés, J.-C.; Jódar, L.; Solís, Francisco J.; Ku-Carrillo, Roberto
2015
A random Laplace transform method for solving random mixed parabolic differential problems. Zbl 1390.35435
Casabán, M.-C.; Cortés, J.-C.; Jódar, L.
2015
Solvability of $$N$$th order linear boundary value problems. Zbl 1339.34034
Almenar, P.; Jódar, L.
2015
Positive finite difference schemes for a partial integro-differential option pricing model. Zbl 1338.91152
Fakharany, M.; Company, R.; Jódar, L.
2014
Solving the random diffusion model in an infinite medium: a mean square approach. Zbl 1429.60058
Casabán, M.-C.; Company, R.; Cortés, J.-C.; Jódar, L.
2014
Solving American option pricing models by the front fixing method: numerical analysis and computing. Zbl 1470.91324
Company, R.; Egorova, V. N.; Jódar, L.
2014
The distance between points of a solution of a second order linear differential equation satisfying general boundary conditions. Zbl 1470.34058
Almenar, Pedro; Jódar, Lucas
2014
Removing the correlation term in option pricing Heston model: numerical analysis and computing. Zbl 1293.91188
Company, R.; Jódar, L.; Fakharany, M.; Casabán, M.-C.
2013
Positive solutions of European option pricing with CGMY process models using double discretization difference schemes. Zbl 1291.91231
Company, R.; Jódar, L.; Fakharany, M.
2013
Analytic-numerical solution of random boundary value heat problems in a semi-infinite bar. Zbl 1470.65007
Casabán, M.-C.; Cortés, J.-C.; García-Mora, B.; Jódar, L.
2013
The distribution of zeroes and critical points of solutions of a second order half-linear differential equation. Zbl 1276.34024
Almenar, Pedro; Jódar, Lucas
2013
Modeling Spanish anxiolytic consumption: economic, demographic and behavioral influences. Zbl 1305.91199
De la Poza, E.; Guadalajara, N.; Jódar, L.; Merello, P.
2013
A consistent stable numerical scheme for a nonlinear option pricing model in illiquid markets. Zbl 1262.91146
Company, Rafael; Jódar, Lucas; Pintos, José-Ramón
2012
Solving initial and two-point boundary value linear random differential equations: a mean square approach. Zbl 1298.34103
Cortés, J.-C.; Jódar, L.; Roselló, M.-D.; Villafuerte, L.
2012
Double discretization difference schemes for partial integrodifferential option pricing jump diffusion models. Zbl 1256.91063
Casabán, M.-C.; Company, R.; Jódar, L.; Romero, J.-V.
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 1238.34056
Almenar, Pedro; Jódar, Lucas
2012
Random mixed hyperbolic models: numerical analysis and computing. Zbl 1255.65022
Jódar, L.; Cortés, J.-C.; Villafuerte, L.
2012
On the zeroes and the critical points of a solution of a second order half-linear differential equation. Zbl 1260.34059
Almenar, Pedro; Jódar, Lucas
2012
Random Hermite differential equations: mean square power series solutions and statistical properties. Zbl 1247.60101
Calbo, G.; Cortés, J.-C.; Jódar, L.
2011
Solving the random Legendre differential equation: mean square power series solution and its statistical functions. Zbl 1221.65008
Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L.
2011
Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions. Zbl 1219.65157
Sastre, J.; Defez, E.; Jódar, L.
2011
Solving Riccati time-dependent models with random quadratic coefficients. Zbl 1252.65013
Cortés, J.-C.; Jódar, L.; Company, R.; Villafuerte, L.
2011
Numerical solution of random differential initial value problems: multistep methods. Zbl 1206.65019
Cortés, J. C.; Jódar, L.; Villafuerte, L.
2011
A Lyapunov inequality for a second order nonlinear differential equation. Zbl 1223.34040
Almenar, P.; Jódar, L.
2011
Numerical analysis and computing of a non-arbitrage liquidity model with observable parameters for derivatives. Zbl 1219.91148
Casabán, M.-C.; Company, R.; Jódar, L.; Pintos, J.-R.
2011
Numerical solution of random differential models. Zbl 1235.65008
Cortés, J.-C.; Jódar, L.; Villafuerte, L.; Company, R.
2011
Random differential operational calculus: theory and applications. Zbl 1189.60126
Villafuerte, L.; Braumann, C. A.; Cortés, J.-C.; Jódar, L.
2010
Random Airy type differential equations: mean square exact and numerical solutions. Zbl 1201.60068
Cortés, J.-C.; Jódar, L.; Camacho, F.; Villafuerte, L.
2010
Mathematical modelling of social obesity epidemic in the region of Valencia, Spain. Zbl 1298.37080
Santonja, F.-J.; Villanueva, R.-J.; Jódar, L.; Gonzalez-Parra, G.
2010
Numerical analysis and simulation of option pricing problems modeling illiquid markets. Zbl 1193.91152
Company, R.; Jódar, L.; Ponsoda, E.; Ballester, C.
2010
Mean square power series solution of random linear differential equations. Zbl 1189.34105
Calbo, G.; Cortés, J.-C.; Jódar, L.
2010
Positive solutions of discrete dynamic Leontief input-output model with possibly singular capital matrix. Zbl 1205.91113
Jódar, L.; Merello, P.
2010
Analytic stochastic process solutions of second-order random differential equations. Zbl 1402.60083
Calbo, G.; Cortés, J.-C.; Jódar, L.; Villafuerte, L.
2010
Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). Zbl 1184.92027
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas
2010
Mean square convergent numerical methods for nonlinear random differential equations. Zbl 1275.65005
Cortés, J.-C.; Jódar, L.; Villanueva, R.-J.; Villafuerte, L.
2010
Random matrix difference models arising in long-term medical drug strategies. Zbl 1200.92022
Calbo, G.; Cortés, J.-C.; Jódar, L.
2010
New bounds for the solutions of second order linear differential equations. Zbl 1189.34019
Almenar, Pedro; Jódar, Lucas
2010
Numerical analysis and computing for option pricing models in illiquid markets. Zbl 1205.91168
Company, Rafael; Jódar, Lucas; Pintos, José-Ramón
2010
Computing option pricing models under transaction costs. Zbl 1189.91203
Company, R.; Jódar, L.; Pintos, J.-R.; Roselló, M.-D.
2010
Solving an analytic dynamic Leontief model with time dependent capital matrix. Zbl 1190.34005
Jódar, L.; Merello, P.
2010
Random linear-quadratic mathematical models: Computing explicit solutions and applications. Zbl 1183.65005
Cortés, J. C.; Jódar, L.; Villafuerte, L.
2009
A numerical method for European option pricing with transaction costs nonlinear equation. Zbl 1185.91174
Company, Rafael; Jódar, Lucas; Pintos, José-Ramón
2009
Piecewise finite series solutions of seasonal diseases models using multistage Adomian method. Zbl 1221.65201
González-Parra, Gilberto; Arenas, Abraham J.; Jódar, Lucas
2009
Piecewise finite series solution of nonlinear initial value differential problem. Zbl 1166.65350
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas; Villanueva, Rafael-J.
2009
Dynamics of a model of toxoplasmosis disease in human and cat populations. Zbl 1186.34063
González-Parra, Gilberto C.; Arenas, Abraham J.; Aranda, Diego F.; Villanueva, Rafael J.; Jódar, Lucas
2009
Explicit bounds for the solutions of second order linear differential equations. Zbl 1186.34044
Almenar, Pedro; Jódar, Lucas
2009
Improving explicit bounds for the solutions of second order linear differential equations. Zbl 1186.34045
Almenar, Pedro; Jódar, Lucas
2009
Consistent stable difference schemes for nonlinear Black-Scholes equations modelling option pricing with transaction costs. Zbl 1175.91071
Company, Rafael; Jódar, Lucas; Pintos, José-Ramón
2009
Periodic solutions of nonautonomous differential systems modeling obesity population. Zbl 1198.34063
Arenas, Abraham J.; González-Parra, Gilberto; Jódar, Lucas
2009
A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme. Zbl 1175.65092
Aloy, R.; Casabán, M.-C.; Jódar, L.
2009
Nonstandard numerical methods for a mathematical model for influenza disease. Zbl 1151.92018
Jódar, Lucas; Villanueva, Rafael J.; Arenas, Abraham J.; González, Gilberto C.
2008
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Zbl 1145.92336
Jódar, L.; Villanueva, R. J.; Arenas, A.
2008
Modeling dynamics of infant obesity in the region of Valencia, Spain. Zbl 1155.92329
Jódar, Lucas; Santonja, Francisco J.; González-Parra, Gilberto
2008
Existence of periodic solutions in a model of respiratory syncytial virus RSV. Zbl 1137.92318
Arenas, Abraham J.; González, Gilberto; Jódar, Lucas
2008
Random analytic solution of coupled differential models with uncertain initial condition and source term. Zbl 1155.60320
Calbo, Gema; Cortés, Juan Carlos; Jódar, Lucas
2008
An efficient method for option pricing with discrete dividend payment. Zbl 1155.65369
Ballester, Cristina; Company, Rafael; Jódar, Lucas
2008
A random Euler method for solving differential equations with uncertainties. Zbl 1308.65012
Cortés López, Juan Carlos; Jódar, L.; Villafuerte, L.
2008
Numerical solution of Black-Scholes option pricing with variable yield discrete dividend payment. Zbl 1153.91476
Company, Rafael; Jódar, Lucas; Ponsoda, Enrique
2008
A stable CE-SE numerical method for time-dependent advection-diffusion equation. Zbl 1308.65141
Company, R.; Defez, E.; Jódar, L.; Ponsoda, E.
2008
Numerical solution of random differential equations: a mean square approach. Zbl 1140.65012
Cortés, J. C.; Jódar, L.; Villafuerte, L.
2007
Mean square numerical solution of random differential equations: Facts and possibilities. Zbl 1127.65003
Cortés, J. C.; Jódar, L.; Villafuerte, L.
2007
Computing mean square approximations of random diffusion models with source term. Zbl 1135.65301
Cortés, J. C.; Jódar, L.; Villafuerte, L.; Villanueva, R. J.
2007
Computing the variable coefficient telegraph equation using a discrete eigenfunctions method. Zbl 1127.65073
Aloy, R.; Casabán, M. C.; Caudillo-Mata, L. A.; Jódar, L.
2007
Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function. Zbl 1135.91018
Company, R.; Jódar, L.; Rubio, G.; Villanueva, R. J.
2007
Constructing accurate polynomial approximations for nonlinear differential initial value problems. Zbl 1193.65111
Chen, B.; Company, R.; Jódar, L.; Roselló, M. D.
2007
Constructing unconditionally time-stable numerical solutions for mixed parabolic problems. Zbl 1152.65459
Aloy, R.; Casabán, M. C.; Jódar, L.
2007
Conditional uniform time stable numerical solutions of coupled hyperbolic systems. Zbl 1127.65067
Casabán, M. C.; Jódar, L.; Ossandón, G. A.
2007
Laguerre matrix polynomial series expansion: theory and computer applications. Zbl 1137.15014
Sastre, J.; Defez, E.; Jódar, L.
2006
Numerical solution of modified Black-Scholes equation pricing stock options with discrete dividend. Zbl 1133.91412
Company, R.; González, A. L.; Jódar, L.
2006
A semi-implicit conservation element-solution element method for chemical species transport simulation to tapered ducts of internal combustion engine. Zbl 1104.80015
Arnau, J. M.; Jerez, S.; Jódar, L.; Romero, J. V.
2006
Constructing approximate diffusion processes with uncertain data. Zbl 1103.65010
Cortés, J. C.; Sevilla-Peris, P.; Jódar, L.
2006
On the asymptotics of Laguerre matrix polynomials. Zbl 1116.33011
Sastre, J.; Jódar, L.
2006
A discrete Fourier method for solving strongly coupled mixed hyperbolic problems. Zbl 1082.35017
Casabán, M. C.; Jódar, L.; Ossandón, G. A.
2006
On Laguerre matrix polynomial series. Zbl 1106.33011
Sastre, J.; Jódar, L.
2006
A discrete eigenfunctions method for numerical solution of random diffusion models. Zbl 1156.35306
Jódar, L.; Cortés, J. C.; Villafuerte, L.
2006
Analytic-numerical approximating processes of diffusion equation with data uncertainty. Zbl 1078.65005
Cortés, J. C.; Sevilla-Peris, P.; Jódar, L.
2005
A new direct method for solving the Black-Scholes equation. Zbl 1068.35005
Jódar, L.; Sevilla-Peris, P.; Cortés, J. C.; Sala, R.
2005
Chebyshev polynomial approximations for nonlinear differential initial value problems. Zbl 1224.65170
Chen, B.; García-Bolós, R.; Jódar, L.; Roselló, M. D.
2005
Chaos in the one-dimensional wave equation. Zbl 1068.35062
Solis, Francisco J.; Jódar, Lucas; Chen, Benito
2005
...and 141 more Documents
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### 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
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### 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. Theory, Methods & Applications. Series A: Theory and Methods 4 Quaestiones Mathematicae 4 Theoretical Population Biology 4 Numerical Methods for Partial Differential Equations 4 Mathematical Problems in Engineering 4 Honam Mathematical Journal 4 Discrete Dynamics in Nature and Society 3 Applicable Analysis 3 International Journal of Control 3 Mathematical Methods in the Applied Sciences 3 Physica A 3 BIT 3 Journal of Approximation Theory 3 Journal of Optimization Theory and Applications 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Systems & Control Letters 3 Journal of the Egyptian Mathematical Society 3 Nonlinear Analysis. Real World Applications 3 Mathematical Modelling and Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 Mathematical Sciences 3 Journal of Mathematics 3 Journal of Function Spaces 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 AIMS Mathematics 2 Computer Physics Communications 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Ukrainian Mathematical Journal 2 Stochastic Analysis and Applications 2 Japan Journal of Industrial and Applied Mathematics 2 Communications in Statistics. Theory and Methods 2 Filomat 2 Differential Equations and Dynamical Systems 2 Mathematical and Computer Modelling of Dynamical Systems 2 International Journal of Applied Mathematics and Computer Science 2 Acta et Commentationes Universitatis Tartuensis de Mathematica 2 Quantitative Finance 2 Journal of Applied Mathematics and Computing 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Mathematical Biosciences and Engineering 2 Computational & Mathematical Methods in Medicine 2 Discrete and Continuous Dynamical Systems. Series S 2 Tbilisi Mathematical Journal 2 Acta Universitatis Sapientiae. Mathematica 2 International Journal of Differential Equations 2 International Journal for Numerical Methods in Biomedical Engineering 2 Symmetry 2 East Asian Journal on Applied Mathematics 2 International Journal of Applied and Computational Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Aplikace Matematiky 1 Demonstratio Mathematica 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 The Journal of the Indian Mathematical Society. New Series 1 Kybernetika 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. 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
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### 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)