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ORCIDLucas Jódar
Lucas Jódar Sánchez
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- affiliation: Polytechnic University of Valencia, Spain
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2020 – today
- 2025
[j120]Vera N. Egorova
, M. Consuelo Casabán, Rafael Company, Lucas Jódar:
Tracking interfaces in a random logistic free-boundary diffusion problems: a random level set method. Comput. Appl. Math. 44(1): 148 (2025)- 2024
- [j119]M. Consuelo Casabán, Rafael Company, Vera N. Egorova, Lucas Jódar:
A random free-boundary diffusive logistic differential model: Numerical analysis, computing and simulation. Math. Comput. Simul. 221: 55-78 (2024) - 2023
- [j118]M. Consuelo Casabán, Rafael Company, Lucas Jódar:
Numerical difference solution of moving boundary random Stefan problems. Math. Comput. Simul. 205: 878-901 (2023) - 2021
- [j117]Rafael Company, Vera N. Egorova, Lucas Jódar:
A front-fixing ETD numerical method for solving jump-diffusion American option pricing problems. Math. Comput. Simul. 189: 69-84 (2021)
2010 – 2019
- 2019
- [j116]Elena De la Poza, Lucas Jódar, Georgia Douklia:
Modeling the Spread of Suicide in Greece. Complex Syst. 28(4) (2019) - 2018
- [j115]Lucas Jódar, Juan R. Torregrosa, Juan Carlos Cortés, Regino Criado:
Mathematical modeling and computational methods. J. Comput. Appl. Math. 330: 661-665 (2018) - [j114]M.-A. Piqueras, Rafael Company, Lucas Jódar:
Computing positive stable numerical solutions of moving boundary problems for concrete carbonation. J. Comput. Appl. Math. 330: 794-805 (2018) - [j113]M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar:
Solving linear and quadratic random matrix differential equations using: A mean square approach. The non-autonomous case. J. Comput. Appl. Math. 330: 937-954 (2018) - [j112]Carlos A. Braumann, Juan Carlos Cortés, Lucas Jódar, L. Villafuerte:
On the random gamma function: Theory and computing. J. Comput. Appl. Math. 335: 142-155 (2018) - [j111]M.-A. Piqueras, Rafael Company, Lucas Jódar:
Numerical analysis and computing of free boundary problems for concrete carbonation chemical corrosion. J. Comput. Appl. Math. 336: 297-316 (2018) - [j110]Rafael Company, Vera N. Egorova, Lucas Jódar:
Conditional full stability of positivity-preserving finite difference scheme for diffusion-advection-reaction models. J. Comput. Appl. Math. 341: 157-168 (2018) - [j109]Maria-Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar:
Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach. Math. Model. Anal. 23(1): 79-100 (2018) - [j108]Rafael Company, Vera N. Egorova, Lucas Jódar, Fazlollah Soleymani:
A Local Radial Basis Function Method for High-Dimensional American Option Pricing Problems. Math. Model. Anal. 23(1): 117-138 (2018) - 2017
- [j107]Vera N. Egorova, Shih-Hau Tan, C.-H. Lai, Rafael Company, Lucas Jódar:
Moving boundary transformation for American call options with transaction cost: finite difference methods and computing. Int. J. Comput. Math. 94(2): 345-362 (2017) - [j106]Juan R. Torregrosa, Lucas Jódar, Juan Carlos Cortés, Regino Criado:
Mathematical Modeling and Computational Methods. J. Comput. Appl. Math. 309: 320-324 (2017) - [j105]Juan Carlos Cortés, Lucas Jódar Sánchez, L. Villafuerte:
Mean square solution of Bessel differential equation with uncertainties. J. Comput. Appl. Math. 309: 383-395 (2017) - [j104]M.-A. Piqueras, Rafael Company, Lucas Jódar:
A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model. J. Comput. Appl. Math. 309: 473-481 (2017) - [j103]Pedro Almenar, Lucas Jódar:
Solvability of a class of n -TH order linear focal Problems. Math. Model. Anal. 22(4): 528-547 (2017) - 2016
- [j102]Rafael Company, Vera N. Egorova, Lucas Jódar, Fazlollah Soleymani:
A mixed derivative terms removing method in multi-asset option pricing problems. Appl. Math. Lett. 60: 108-114 (2016) - [j101]Vera N. Egorova, Rafael Company, Lucas Jódar:
A new efficient numerical method for solving American option under regime switching model. Comput. Math. Appl. 71(1): 224-237 (2016) - [j100]Rafael Company, Vera N. Egorova, Lucas Jódar, Carlos Vázquez:
Computing American option price under regime switching with rationality parameter. Comput. Math. Appl. 72(3): 741-754 (2016) - [j99]Matthias Ehrhardt, Lucas Jódar Sánchez, Rafael Company:
Novel methods in computational finance. Int. J. Comput. Math. 93(5): 723-724 (2016) - [j98]Juan R. Torregrosa, Lucas Jódar, Juan Carlos Cortés, Regino Criado:
Mathematical modeling and computational methods. J. Comput. Appl. Math. 291: 1-4 (2016) - [j97]M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar:
Solving random mixed heat problems: A random integral transform approach. J. Comput. Appl. Math. 291: 5-19 (2016) - [j96]Rafael Company, Vera N. Egorova, Lucas Jódar:
Constructing positive reliable numerical solution for American call options: A new front-fixing approach. J. Comput. Appl. Math. 291: 422-431 (2016) - [j95]Mohamed Fakharany, Rafael Company, Lucas Jódar:
Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes. J. Comput. Appl. Math. 296: 739-752 (2016) - [j94]Rafael Company, Vera N. Egorova, Lucas Jódar, Carlos Vázquez:
Finite difference methods for pricing American put option with rationality parameter: Numerical analysis and computing. J. Comput. Appl. Math. 304: 1-17 (2016) - 2015
- [j93]M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar:
A random Laplace transform method for solving random mixed parabolic differential problems. Appl. Math. Comput. 259: 654-667 (2015) - [j92]Mohamed Fakharany, Rafael Company, Lucas Jódar:
Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems. J. Appl. Math. 2015: 960728:1-960728:10 (2015) - 2014
- [j91]M. Consuelo Casabán, Rafael Company, Lucas Jódar:
Closed form numerical solutions of variable coefficient linear second-order elliptic problems. Appl. Math. Comput. 238: 266-280 (2014) - [j90]Mohamed Fakharany, Rafael Company, Lucas Jódar:
Positive finite difference schemes for a partial integro-differential option pricing model. Appl. Math. Comput. 249: 320-332 (2014) - [j89]Matthias Ehrhardt, Lucas Jódar Sánchez, Rafael Jacinto Villanueva Micó:
Advanced computational engineering. Int. J. Comput. Math. 91(1): 1-3 (2014) - [j88]Matthias Ehrhardt, Lucas Jódar Sánchez, Rafael Jacinto Villanueva Micó:
Numerical methods and mathematical modelling in biology, medicine and social sciences. Int. J. Comput. Math. 91(2): 176-178 (2014) - [j87]Elena De la Poza, M. del Líbano, I. García, Lucas Jódar, Paloma Merello:
Predicting workaholism in Spain: a discrete mathematical model. Int. J. Comput. Math. 91(2): 233-240 (2014) - 2013
- [j86]Lucas Jódar, Juan Carlos Cortés, Luis Acedo:
The challenge of modelling aggregated human behaviour. Math. Comput. Model. 57(7-8): 1617-1618 (2013) - [j85]Elena De la Poza, Natividad Guadalajara Olmeda, Lucas Jódar, P. Merello:
Modeling Spanish anxiolytic consumption: Economic, demographic and behavioral influences. Math. Comput. Model. 57(7-8): 1619-1624 (2013) - [j84]Rubén Duato, Lucas Jódar:
Mathematical modeling of the spread of divorce in Spain. Math. Comput. Model. 57(7-8): 1732-1737 (2013) - [j83]Lucas Jódar, Elena De la Poza, Juan Carlos Cortés, Luis Acedo:
Corrigendum to "Preface: The challenge of modelling aggregated human behaviour" [Math. Comput. Modelling 57 (2013) 1617-1618]. Math. Comput. Model. 57(9-10): 2580 (2013) - 2012
- [j82]Juan Carlos Cortés, Lucas Jódar, María Dolores Roselló, L. Villafuerte:
Solving initial and two-point boundary value linear random differential equations: A mean square approach. Appl. Math. Comput. 219(4): 2204-2211 (2012) - [j81]Pedro Almenar, Lucas Jódar:
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. 63(1): 310-317 (2012) - [j80]Lucas Jódar, Juan Carlos Cortés, Laura Villafuerte:
Random mixed hyperbolic models: Numerical analysis and computing. Math. Comput. Simul. 82(10): 1841-1852 (2012) - [j79]Rafael Company, Lucas Jódar, José Ramón Pintos:
A consistent stable numerical scheme for a nonlinear option pricing model in illiquid markets. Math. Comput. Simul. 82(10): 1972-1985 (2012) - 2011
- [j78]Benito M. Chen-Charpentier, Lucas Jódar, Aleksey S. Telyakovskiy:
Polynomial approximation of nonlinear differential systems with prefixed accuracy. Appl. Math. Comput. 218(5): 1650-1657 (2011) - [j77]Gema Calbo, J. C. Cortés, Lucas Jódar:
Random Hermite differential equations: Mean square power series solutions and statistical properties. Appl. Math. Comput. 218(7): 3654-3666 (2011) - [j76]Pedro Almenar, Lucas Jódar:
A Lyapunov inequality for a second order nonlinear differential equation. Appl. Math. Lett. 24(4): 524-527 (2011) - [j75]Jorge Sastre, Emilio Defez, Lucas Jódar:
Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions. Appl. Math. Lett. 24(9): 1527-1532 (2011) - [j74]J. C. Cortés, Lucas Jódar, Rafael Company, Laura Villafuerte:
Solving Riccati time-dependent models with random quadratic coefficients. Appl. Math. Lett. 24(12): 2193-2196 (2011) - [j73]M. Consuelo Casabán, Rafael Company, Lucas Jódar, José Ramón Pintos:
Numerical analysis and computing of a non-arbitrage liquidity model with observable parameters for derivatives. Comput. Math. Appl. 61(8): 1951-1956 (2011) - [j72]Gema Calbo, Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte:
Solving the random Legendre differential equation: Mean square power series solution and its statistical functions. Comput. Math. Appl. 61(9): 2782-2792 (2011) - [j71]Pedro Almenar, Lucas Jódar:
Asymptotic behaviour of the solutions of second order functional differential equations. Comput. Math. Appl. 62(1): 297-309 (2011) - [j70]J. C. Cortés, Lucas Jódar, José Vicente Romero, María Dolores Roselló:
A comparative study of the numerical approximation of the random Airy differential equation. Comput. Math. Appl. 62(9): 3411-3417 (2011) - [j69]Lucas Jódar, Juan Carlos Cortés, Luis Acedo:
Towards the mathematical modelling of human behaviour. Math. Comput. Model. 54(7-8): 1625 (2011) - [j68]Iván García, Lucas Jódar, P. Merello, Francisco-José Santonja:
A discrete mathematical model for addictive buying: Predicting the affected population evolution. Math. Comput. Model. 54(7-8): 1634-1637 (2011) - [j67]Juan Carlos Cortés, Lucas Jódar, L. Villafuerte, Rafael Company:
Numerical solution of random differential models. Math. Comput. Model. 54(7-8): 1846-1851 (2011) - 2010
- [j66]Gema Calbo, J. C. Cortés, Lucas Jódar:
Random matrix difference models arising in long-term medical drug strategies. Appl. Math. Comput. 217(5): 2149-2161 (2010) - [j65]Gema Calbo, J. C. Cortés, Lucas Jódar, L. Villafuerte:
Analytic stochastic process solutions of second-order random differential equations. Appl. Math. Lett. 23(12): 1421-1424 (2010) - [j64]L. Villafuerte, Carlos A. Braumann, J. C. Cortés, Lucas Jódar:
Random differential operational calculus: Theory and applications. Comput. Math. Appl. 59(1): 115-125 (2010) - [j63]Pedro Almenar, Lucas Jódar:
New bounds for the solutions of second order linear differential equations. Comput. Math. Appl. 59(1): 468-485 (2010) - [j62]Gema Calbo, J. C. Cortés, Lucas Jódar:
Mean square power series solution of random linear differential equations. Comput. Math. Appl. 59(1): 559-572 (2010) - [j61]Rafael Company, Lucas Jódar, José Ramón Pintos, M. D. Roselló:
Computing option pricing models under transaction costs. Comput. Math. Appl. 59(2): 651-662 (2010) - [j60]Rafael Company, Lucas Jódar, Enrique Ponsoda, Cristina Ballester:
Numerical analysis and simulation of option pricing problems modeling illiquid markets. Comput. Math. Appl. 59(8): 2964-2975 (2010) - [j59]Juan Carlos Cortés, Lucas Jódar, Francisco Camacho, Laura Villafuerte:
Random Airy type differential equations: Mean square exact and numerical solutions. Comput. Math. Appl. 60(5): 1237-1244 (2010) - [j58]Lucas Jódar, P. Merello:
Solving an analytic dynamic Leontief model with time dependent capital matrix. Math. Comput. Model. 51(5-6): 400-404 (2010) - [j57]Lucas Jódar, Luis Acedo, Juan Carlos Cortés:
Mathematical models in medicine, business and engineering 2009: Why applied mathematicians should interact with others and open ways and practices. Math. Comput. Model. 52(7-8): 947-948 (2010) - [j56]Rafael Company, Lucas Jódar, José Ramón Pintos:
Numerical analysis and computing for option pricing models in illiquid markets. Math. Comput. Model. 52(7-8): 1066-1073 (2010) - [j55]Lucas Jódar, P. Merello:
Positive solutions of discrete dynamic Leontief input-output model with possibly singular capital matrix. Math. Comput. Model. 52(7-8): 1081-1087 (2010) - [j54]Lucas Jódar, Luis Acedo, Juan Carlos Cortés:
Corrigendum to "Special issue: Mathematical models in medicine, business & engineering 2009" [Math. Comput. Modelling 52 (7-8) (2010)]. Math. Comput. Model. 52(7-8): 1298 (2010) - [j53]Abraham J. Arenas, Gilberto González-Parra, Lucas Jódar:
Randomness in a mathematical model for the transmission of respiratory syncytial virus (RSV). Math. Comput. Simul. 80(5): 971-981 (2010) - [j52]J. C. Cortés, Lucas Jódar, Rafael J. Villanueva, L. Villafuerte:
Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations. Trans. Comput. Sci. 7: 1-21 (2010)
2000 – 2009
- 2009
- [j51]Abraham J. Arenas, Gilberto González-Parra, Lucas Jódar, Rafael J. Villanueva:
Piecewise finite series solution of nonlinear initial value differential problem. Appl. Math. Comput. 212(1): 209-215 (2009) - [j50]R. Aloy, M. Consuelo Casabán, Lucas Jódar:
A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme. Appl. Math. Comput. 215(1): 333-343 (2009) - [j49]Pedro Almenar, Lucas Jódar:
Explicit bounds for the solutions of second order linear differential equations. Comput. Math. Appl. 57(5): 789-798 (2009) - [j48]Gilberto C. González-Parra, Abraham J. Arenas, Diego F. Aranda, Rafael J. Villanueva, Lucas Jódar:
Dynamics of a model of Toxoplasmosis disease in human and cat populations. Comput. Math. Appl. 57(10): 1692-1700 (2009) - [j47]Pedro Almenar, Lucas Jódar:
Improving explicit bounds for the solutions of second order linear differential equations. Comput. Math. Appl. 57(10): 1708-1721 (2009) - [j46]Lucas Jódar, Luis Acedo, Rafael J. Villanueva:
Preface. Math. Comput. Model. 50(5-6): 645 (2009) - [j45]Rafael Company, Lucas Jódar, José Ramón Pintos:
A numerical method for European Option Pricing with transaction costs nonlinear equation. Math. Comput. Model. 50(5-6): 910-920 (2009) - [j44]J. C. Cortés, Lucas Jódar, L. Villafuerte:
Random linear-quadratic mathematical models: Computing explicit solutions and applications. Math. Comput. Simul. 79(7): 2076-2090 (2009) - 2008
- [j43]Lucas Jódar, Luis Acedo, Rafael J. Villanueva:
Preface. Comput. Math. Appl. 56(3): 593 (2008) - [j42]Lucas Jódar, Francisco-José Santonja, Gilberto C. González-Parra:
Modeling dynamics of infant obesity in the region of Valencia, Spain. Comput. Math. Appl. 56(3): 679-689 (2008) - [j41]Gema Calbo, Juan Carlos Cortés, Lucas Jódar:
Random analytic solution of coupled differential models with uncertain initial condition and source term. Comput. Math. Appl. 56(3): 785-798 (2008) - [j40]Cristina Ballester, Rafael Company, Lucas Jódar:
An efficient method for option pricing with discrete dividend payment. Comput. Math. Appl. 56(3): 822-835 (2008) - [j39]Lucas Jódar, Rafael J. Villanueva, Abraham J. Arenas:
Modeling the spread of seasonal epidemiological diseases: Theory and applications. Math. Comput. Model. 48(3-4): 548-557 (2008) - [j38]Lucas Jódar, Rafael J. Villanueva, Abraham J. Arenas, Gilberto C. González-Parra:
Nonstandard numerical methods for a mathematical model for influenza disease. Math. Comput. Simul. 79(3): 622-633 (2008) - 2007
- [j37]Benito Chen, Rafael Company, Lucas Jódar, M. D. Roselló:
Constructing accurate polynomial approximations for nonlinear differential initial value problems. Appl. Math. Comput. 193(2): 523-534 (2007) - [j36]M. Consuelo Casabán, Lucas Jódar, Gustavo A. Ossandón:
Conditional uniform time stable numerical solutions of coupled hyperbolic systems. Appl. Math. Lett. 20(1): 13-16 (2007) - [j35]Juan Carlos Cortés, Lucas Jódar, L. Villafuerte:
Mean square numerical solution of random differential equations: Facts and possibilities. Comput. Math. Appl. 53(7): 1098-1106 (2007) - [j34]R. Aloy, M. Consuelo Casabán, Lucas Jódar:
Constructing unconditionally time-stable numerical solutions for mixed parabolic problems. Comput. Math. Appl. 53(11): 1773-1783 (2007) - [j33]R. Aloy, M. Consuelo Casabán, L. A. Caudillo-Mata, Lucas Jódar:
Computing the variable coefficient telegraph equation using a discrete eigenfunctions method. Comput. Math. Appl. 54(3): 448-458 (2007) - [j32]Rafael Company, Lucas Jódar, Gregorio Rubio, Rafael-Jacinto Villanueva:
Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function. Math. Comput. Model. 45(1-2): 80-92 (2007) - [j31]Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte:
Numerical solution of random differential equations: A mean square approach. Math. Comput. Model. 45(7-8): 757-765 (2007) - [j30]J. C. Cortés, Lucas Jódar, L. Villafuerte, Rafael J. Villanueva:
Computing mean square approximations of random diffusion models with source term. Math. Comput. Simul. 76(1-3): 44-48 (2007) - 2006
- [j29]Michael M. Tung, Lucas Jódar:
Closed-form analytic solutions for dilogarithmic double integrals. Appl. Math. Lett. 19(8): 775-779 (2006) - [j28]Jorge Sastre, Emilio Defez, Lucas Jódar:
Laguerre matrix polynomial series expansion: Theory and computer applications. Math. Comput. Model. 44(11-12): 1025-1043 (2006) - [j27]Rafael Company, A. L. González, Lucas Jódar:
Numerical solution of modified Black-Scholes equation pricing stock options with discrete dividend. Math. Comput. Model. 44(11-12): 1058-1068 (2006) - [j26]José Manuel Arnau, Silvia Jerez, Lucas Jódar, José Vicente Romero:
A semi-implicit conservation element-solution element method for chemical species transport simulation to tapered ducts of internal combustion engine. Math. Comput. Simul. 73(1-4): 28-37 (2006) - [j25]J. C. Cortés, P. Sevilla-Peris, Lucas Jódar:
Constructing approximate diffusion processes with uncertain data. Math. Comput. Simul. 73(1-4): 125-132 (2006) - [c1]José Manuel Arnau, Silvia Jerez, Lucas Jódar, José Vicente Romero, M. D. Roselló:
A Nonuniform Semi-implicit Numerical Method for Computing Unsteady Chemical Transport Flow in Tapered Ducts. POSTA 2006: 255-262 - 2005
- [j24]J. C. Cortés, Lucas Jódar, R. Sala, P. Sevilla-Peris:
Exact and numerical solution of Black-Scholes matrix equation. Appl. Math. Comput. 160(3): 607-613 (2005) - [j23]Lucas Jódar, L. A. Caudillo-Mata:
A low computational cost numerical method for solving mixed diffusion problems. Appl. Math. Comput. 170(1): 673-685 (2005) - [j22]Lucas Jódar, P. Sevilla-Peris, J. C. Cortés, R. Sala:
A new direct method for solving the Black-Scholes equation. Appl. Math. Lett. 18(1): 29-32 (2005) - [j21]Francisco J. Solis, Lucas Jódar, Benito Chen:
Chaos in the one-dimensional wave equation. Appl. Math. Lett. 18(1): 85-90 (2005) - [j20]Sebastián Rodríguez-Mattalia, Luis Nuño, Lucas Jódar, Juan V. Balbastre:
An improvement of the finite-element method for computing the electric field of waveguides with complex geometry. Math. Comput. Model. 41(6-7): 791-805 (2005) - [j19]J. C. Cortés, Rafael Company, Lucas Jódar, Enrique Ponsoda:
The complementary error matrix function and its role solving coupled diffusion mathematical models. Math. Comput. Model. 42(9-10): 1023-1034 (2005) - 2004
- [j18]J. C. Cortés, Lucas Jódar, M. D. Roselló:
An algorithm for solving variable coefficient hyperbolic problems in a semi-infinite mediu. Appl. Math. Lett. 17(2): 145-151 (2004) - [j17]Francisco Javier Solís, Lucas Jódar Sánchez:
Nonisolated slow convergence in discrete dynamical systems. Appl. Math. Lett. 17(5): 597-599 (2004) - [j16]Emilio Defez, Antonio Hervás, Lucas Jódar, Alan G. Law:
Bounding hermite matrix polynomials. Math. Comput. Model. 40(1-2): 117-125 (2004) - 2003
- [j15]María-José Rodríguez-Alvarez, Gregorio Rubio, Lucas Jódar, A. E. Posso:
Exact solution of variable coefficient mixed hyperbolic partial differential problems. Appl. Math. Lett. 16(3): 309-312 (2003) - [j14]Jorge Sastre, Lucas Jódar:
Asymptotics of the modified bessel and the incomplete gamma matrix functions. Appl. Math. Lett. 16(6): 815-820 (2003) - [j13]Rafael Company, Lucas Jódar, Enrique Ponsoda:
Accurate numerical solution of initial value problems for the time dependent convection-diffusion equation. Appl. Math. Lett. 16(6): 981-984 (2003) - 2002
- [j12]M. Consuelo Casabán, Lucas Jódar, José Albeiro Sánchez Cano:
Stable numerical solution of strongly coupled mixed diffusion problems. Appl. Math. Lett. 15(1): 115-119 (2002) - [j11]José Emilio Enrique Navarro, Lucas Jódar, María Vicenta Ferrer:
Constructing eigenfunctions of strongly coupled parabolic boundary value systems. Appl. Math. Lett. 15(4): 429-434 (2002) - [j10]M. J. Rodriguez, M. D. Roselló, Silvia Jerez, Lucas Jódar:
Solving Dirichlet's problem in a rectangle for separate variable coefficient elliptic equations. Appl. Math. Lett. 15(6): 693-696 (2002) - [j9]