Research
Publications
Brennen Fagan (student), On the Immunization of Small Computer Networks, SIAM Undergraduate Research Online, Volume 10, (2017). DOI: https://doi.org/10.1137/16S015383
De Leon, Doreen, Using Undetermined Coefficients to Solve Certain Classes of Variable-Coefficient Equations, The American Mathematical Monthly, Volume 122, No. 3 (2015), pp. 246-255. DOI: https://doi.org/10.4169/amer.math.monthly.122.03.246
Doreen De Leon, A Wavelet Multigrid Method Using Symmetric Biorthogonal Wavelets, American Journal of Computational Mathematics, Volume 3, No. 2 (2013), pp. 127-136. DOI: http://dx.doi.org/10.4236/ajcm.2013.32021
Adnan Sabuwala and Doreen De Leon, Particular Solution to the Euler-Cauchy Equation with Polynomial Non-Homogeneities, Discrete and Continuous Dynamical Systems, 2011, Dynamical systems, differential equations and applications, 8th AIMS Conference, Suppl. Vol. II, pp. 1271-1278. DOI: https://doi.org/10.3934/proc.2011.2011.1271
Doreen De Leon, Euler-Cauchy and Undetermined Coefficients, a Classroom Capsule in The College Mathematics Journal, Volume 41, No. 3 (2010), pp. 236-237. DOI: https://doi.org/10.4169/074683410X488728
Doreen De Leon, A Wavelet Multigrid Method Applied to the Stokes and Incompressible Navier-Stokes Problems, Journal of Mathematical Sciences: Advances and Applications, Volume 1, No. 3 (2008), pp. 601-622.
Doreen De Leon, A new wavelet multigrid method, Journal of Computational and Applied Mathematics, 220 (2008), pp. 674-685. DOI: https://doi.org/10.1016/j.cam.2007.09.021
Doreen De Leon, Wavelet Techniques Applied to Multigrid Methods (UCLA Mathematics Department CAM Report 00-42, December 2000, latest revision: October 2003).
Doreen De Leon, Wavelet Operators Applied to Multigrid Methods (Ph.D. Thesis), UCLA Mathematics Department CAM Report 00-22.
Selected Presentations
Doreen De Leon, Using Undetermined Coefficients to Solve Certain Classes of Variable-Coefficient Equations, 2015 MAA/CURM Intermountain Section Conference, March 20, 2015.
Doreen De Leon, Introduction to Iterative Methods for Solving Sparse Linear Systems, Mathematics Department Seminar, April 19, 2013.
Doreen De Leon, A Wavelet Multigrid Method Using Symmetric Biorthogonal Wavelets, Joint Mathematics Meetings, January 11, 2013.
Doreen De Leon, Undetermined Coefficients - Not Just for Constant-Coefficient Equations Anymore, Joint Mathematics Meetings, January 9, 2011.
Doreen De Leon, Euler-Cauchy and Undetermined Coefficients, Joint Mathematics Meetings, January 14, 2010
Doreen De Leon, An Euler-Cauchy Surprise, MAA MathFest, August 6, 2009.
Doreen De Leon, A Simple Solution to Euler-Cauchy Problems with Polynomial Right-Hand Sides, Mathematics Department Seminar, October 16, 2008.
Doreen De Leon, An Euler-Cauchy Surprise, Mathematics Department Seminar, April 17, 2008.
Doreen De Leon, A New Wavelet Multigrid Method Applied to the Incompressible Navier-Stokes Problem, Joint Mathematics Meetings, January 8, 2008.
Doreen De Leon, A New Wavelet Multigrid Method, Joint Mathematics Meetings, January 8, 2007.
Doreen De Leon, Introduction to Multigrid Methods I, II, and III Mathematics Department Seminar, May 2, 2006, October 10, 2006, November 7, 2006.
Doreen De Leon, Integrating MAPLE into Mathematics Courses, poster, Regional Conference on Excellence in Teaching and Learning, March 24, 2006.
Doreen De Leon, Warming Students Up to Mathematics, MAA Mathfest, August 6, 2005.
Doreen De Leon, Uses of MATLAB and Maple in Mathematical Research and Instruction, Science II Grand Opening, CSU Fresno, March 11, 2005.
Doreen De Leon and John J. Westman, Introduction to Scientific Research: A Group Approach to Individual Undergraduate Research, MAA Mathfest, August 1, 2002.
Doreen De Leon, Wavelet Techniques Applied to Multigrid Methods, Joint Mathematics Meetings, January 12, 2001.
John J. Westman and Doreen De Leon, An Introduction to Scientific Research: Modeling with Maple, MAA Mathfest, August 3, 2000.
Student Research
Undergraduate Student Research
Ashleen Nagra, Tracking Pneumococcal Pneumonia Progression Among Teenagers (2024)
Travis Walker, Quarantine and its Effects on an Epidemic (2020)
Jose Mireles, Modeling the COVID Pandemic (2020)
Brennan Fagan, On the Immunization of Small Computer Networks (2015) - published paper resulted
Aramayis Orkusyan, On the Immunization of Large Computer Networks (2015)
Graduate Student Research
Rawan Araim, Covid-19 Mathematical Modeling (2021)
Elda Bautista, Preconditioned Multigrid (2013)