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1 CURRICULUM VITAE Name: Laura Villafuerte Altúzar Date of birth: March 6, Nationality: Mexican. Marital status: Married. EDUCATION Ph.D, Applied Mathematics Universidad Politécnica de Valencia,Valencia, Spain Research: Numerical Methods for Random Differential Equations Thesis: Numerical and analytic mean square solutions for random differential models Advisers: Dr. Lucas Antonio Jodar and Dr. Juan Carlos Cortés Master of Science, Applied Mathematics Centro de Investigación en Matemáticas (CIMAT), Guanajuato, Mexico Thesis: Skew-orthogonal polynomials of a Discrete Variable. Adviser: Dr. Lazaro Raúl Felipe. Coursework in Master: Linear Algebra, Analysis I, Differential Equations I, Applied Mathematics I, Numerical Methods, Modeling, Classic Mechanics, Functional Analysis, Spaces with Indefinite Metric. Bachelor of Science, Mathematics Universidad Veracruzana, Xalapa, Ver. Mexico Thesis: Un Caso de Series de Fourier Equivalentes. Adviser: Dr. Miguel Antonio Jiménez Pozo. VISITS Posdoctoral visit University of Texas at Arlington Adviser: Benito Chen Charpentier Produced two papers, Villafuerte et al and Licea et al Research visit June 2008 Universitat de Evora Adviser: Carlos Braumman Visit UW-Madison
2 CAREER HISTORY Full Professor Universidad Autónoma de Chiapas Facultad de Ciencias en Física y Matemáticas (FCFM) Tuxtla Gutiérrez, Chiapas, México Advised four students on their senior theses Taught courses in Differential Equations I, II, Probability I, II, Numerical Analysis, Calculus I, II. Engaged with community high schools to promote the mathematics program to graduating high school seniors. Organized weekly seminar, including invitation of speakers. Helped plan and direct both the bachelor s and master s degree programs. Advised as many as ten students per semester. Visiting associate Professor University of Wisconsin at Madison Madison, WI, USA Lecture 2017 University of Texas at Austin Austin, TX, USA TEACHING At FCFM - UNACH Undergraduate courses: Differential Equations I, II, Probability I, II, Numerical Analysis, Calculus I, II, Complex Variable I. Graduate courses: Probability, Introduction to Stochastic Differential Equations. Webpage: At UW-Madison Undergraduate courses: Math 340-Spring 2016, Math 421- Spring 2016, Math Fall 2016, Math Fall 2016 Webpage: At UT- Austin Undergraduate courses: Math 408D-Spring 2017, Math 408 N - Spring 2017 Webpage: RESEARCH PROJECTS Analytic and numerical solutions for random differential equations, CONACYT, Constructinting numerical solutions for random differential equations, Promep, Theory and applications of differential equations with random coefficients. CONACYT, 2010.
3 CONFERENCE PAPERS/PRESENTATIONS L. Villafuerte, J.C. Córtes, L. Jódar, Solución numérica de procesos estocásticos con difusión térmica variable, Congreso de Métodos Numéricos en Ingeniería, Granada, España, L. Villafuerte, J.C. Córtes, L. Jódar, Aproximaciones en media cuadrática de problemas de difusión con incertidumbre espacial, VII Jornadas de la Investigación y Fomento de la Multidisciplinariedad, Valencia, España, J.C. Córtes, L. Jódar, P. Sevilla-Peris y L. Villafuerte,Approximating processes of stochastic diffusion models under uncertainty, International Symposium on Applied Stochastic Models and Analysis Data (AMSDA), Brest, Francia, J.C. Córtes, L. Jódar, L. Villafuerte, A discrete eigenfunctions method for numerical solution of random diffusion models, Proc. Conference on Differential and Difference Equations and Applications, Miami, USA, J.C. Córtes, L. Jódar, L. Villafuerte, R.J. Villanueva, Computing mean square approximating of random diffusion models with decomposable source term, The third IMACS Conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering, Pilsen, Republica Checa, L. Villafuerte, J.C. Córtes, L. Jódar, A random Euler method for solving differential equation with uncertainties, 14 International Conference on Mathematics for Industry-ECMI, Leganés, España L. Villafuerte, J.C. Córtes, L. Jódar, Constructing mean square discrete solutions for random differential equations, VI Pan American Workshop in Applied and Computational Mathematics, UMAR, Huaculto, Oaxaca, México, L. Villafuerte, J.C. Córtes, L. Jódar, Soluciones numéricas de ecuaciones diferenciales aleatorias, VIII Jornadas de la Investigación y fomento de la Multidisciplinaridad, Valencia, España, L. Villafuerte, J.C. Córtes, L. Jódar, Reliable numerical solutions of random differential systems, 4 Congres on Internacional y 2 Nacional de Métodos Numéricos en Ingeniería y Ciencias Aplicadas, Morelia, México, L. Villafuerte, J.C. Córtes, L. Jódar, Approximing mean square solutions for random propagation models, ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Eartquake Engineering, Rethymno, Crete, Greece, june L. Villafuerte, J.C. Córtes, L. Jódar, Constructing discrete numerical methods for random differential systems, ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Eartquake Engineering, Rethymno, Crete, Greece, june L.Villafuerte, J.C. Córtes, L. Jódar, Numerical Solution of Random Differential Initial Value Problems: Multistep Methods, Sixth (6th) International Conference of Numerical Analysis and Applied Mathematics, Greece, September L.Villafuerte, J.C. Córtes, L. Jódar, Constructing power solutions of random differential, V congreso Internacional de Mtodos numricos 2010, 3-5 de Febrero Guanajuato, México, L. Villafuerte, B. Chen, The differential transform method for solving random differential models, 6th International Conference on Stochastic Analysis and Its Applications 2012, September, Bewlewo, Poznan. L. Villafuerte, J. C. Cortés, Solving random differential equations by means of differential transform method, International Conference on Differential Equations, Difference Equations and Special Functions, University of Patras, Greece, September 3-7, L. Villafuerte, Solving the Bessel random differential equation: A mean square approach, Mathematical Modeling in engineering & Human Behavior 2015, Universidad Politacnica de Valencia, September 9-11, 2015.
4 PUBLICATIONS 1. Raúl Felipe and L. Villafuerte, Skew-orthogonal polynomials of a discrete variable, Mathematical Pannonica, 17/1, (2006). 2. Juan Carlos Cortés, Lucas Jódar, L. Villafuerte: Mean square numerical solution of random differential equations: Facts and possibilities. Computers and Mathematics with Applications 53(7): (2007) 3. Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte: Numerical solution of random differential equations: A mean square approach. Mathematical and Computer Modelling 45(7-8): (2007) 4. Juan Carlos Cortés, Lucas Jódar, L. Villafuerte, Rafael J. Villanueva: Computing mean square approximations of random diffusion models with source term. Mathematics and Computers in Simulation 76(1-3): (2007) 5. Juan Carlos Cortés, Lucas Jódar y L. Villafuerte: A random Euler method for solving differential equations with uncertainties Progress in Industrial Mathematics E.C.M.I Vol. 12. (Eds:L.L. Bonilla, M. Moscoso, G. Platero. J.M. Vegas). Springer I.S.B.N.: pp: Juan Carlos Cortés, Lucas Jódar, L. Villafuerte: Random linear-quadratic mathematical models: Computing explicit solutions and applications. Mathematics and Computers in Simulation 79(7): (2009) 7. Juan Carlos Cortés, Lucas Jódar, L. Villafuerte: Reliable Numerical Solutions for Random Differential Equations: Numerical Modeling of Couple Phenomena in Science and engineering: Practical Use and Examples, Multiphysics Modeling Series. Taylor & Francis Group and CRC Press., ISBN: , Chapter 3: (2009) 8. Juan Carlos Cortés, Lucas Jódar, Rafael J. Villanueva, L. Villafuerte: Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations. Transactions on Computational Science 7: 1-21 (2010) 9. Juan Carlos Cortés, Lucas Jódar, L. Villafuerte: Constructing power series solutions for random differential models. Revista internacional de métodos numéricos para Cálculo y diseño en la ingeniería 26 (3) (2010) 10. Juan Carlos Cortés, Lucas Jódar, F. Camacho, L. Villafuerte: Random Airy type differential equations: Mean square exact and numerical solutions. Computers & Mathematics with Applications 60(5): (2010) 11. L. Villafuerte, Carlos A. Braumann, Juan Carlos Cortés, Lucas Jódar: Random differential operational calculus: Theory and applications. Computers & Mathematics with Applications 59(1): (2010) 12. Gema Calbo, Juan Carlos Cortés, Lucas Jódar, L. Villafuerte: Analytic stochastic process solutions of second-order random differential equations. Appl. Math. Lett. 23(12): (2010) 13. Juan Carlos Cortés, Lucas Jódar, L. Villafuerte: Numerical solution of random differential initial value problems: Multistep methods. Mathematical Methods in the Applied Sciencies. 34(1): (2011) 14. Juan Carlos Cortés, Lucas Jódar, L. Villafuerte, Rafael Company: Numerical solution of random differential models. Mathematical and Computer Modelling 54(7-8): (2011) 15. Gema Calbo, Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte: Solving the random Legendre differential equation: Mean square power series solution and its statistical functions. Computers & Mathematics with Applications 61(9): (2011) 16. Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte: Random mixed hyperbolic models: Numerical analysis and computing. Mathematics and Computers in Simulation 82(10): (2012) 17. L. Villafuerte, Benito M. Chen-Charpentier: A random differential transform method: Theory and applications. Appl. Math. Lett. 25(10): (2012)
5 18. 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. Applied Mathematics and Computation 219(4): (2012) 19. J. A. Licea, L. Villafuerte, Benito M. Chen-Charpentier: Analytic and numerical solutions of a Riccati differential equation with random coefficients. J. Computational Applied Mathematics 239: (2013) 20. L. Villafuerte, Juan Carlos Cortés: Solving Random differential equations by means of differential transform method. Advances in Dynamical Systems and Applications 8(2): (2013). 21. J.C. Cortes, L. Jódar, R. Company and L. Villafuerte: Laguerre random polynomials: definitions, differential and statistical properties. Utilitas Math 98: (2015) 22. Hooman Fatoorehchi, Hossein Abolghasemi, Laura Villafuerte, Reza Zargham: Oxygen diffusion in a spherical cell subject to nonlinear MichaelisMenten kinetics: Mathematical analysis by two exact methods. International Journal of Biomathematics Vol. 10, No. 2 (2017). 23. L. Villafuerte, Juan Carlos Cortés, L. Jódar: Mean square solution of Bessel differential equation with uncertainties. Journal of Computational and Applied Mathematics, J. Computational Applied Mathematics 309: (2017). 24. C. Burgos, J. C. Cortés, L. Villafuerte, R. J. Villanueva, Extending the deterministic RiemannLiouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations, Chaos, Solitons & Fractals doi: /j.chaos J. C. Cortés, L. Villafuerte, C. Burgos, A mean square chain rule and its applications in solving the random Chebyschev differential equation. Mediterr. J. Math. (2017) 14: SERVICE Organizer of the FCFM Seminar ( ). Co-organizer of the X Escuela de Matemática de América Latina y el Caribe en México. Associate editor for the Revista Quehacer Científico en Chiapas. Refereed papers for several journals including Numerical Methods for Partial differential Equations, Journal of Computational and Applied Mathematics, Applied Mathematical Modelling, Arab Journal of Mathematical Sciences. Member of Comité Evaluador de Movilidad Internacional y Becas Santander.
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