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Warm greetings! I am a Lecturer in the Department of Mathematics and Computer Science at Santa Clara University. Prior to that, I was an Associate Professor and Math Program Director in the Department of Mathematics and Science, Holy Names University. I received my Ph.D. from the National University of Ireland Galway, mentored by Prof. Niall Madden (NUI Galway) and Prof. Scott MacLachlan (formerly at Tufts University, now at the Memorial University of Newfoundland).
I have a wide range of research interests in Computational and Applied Mathematics including, but not limited to, Numerical Analysis, Numerical Linear Algebra, Scientific Computing, Biomath Modeling, and Math Education. Please also visit my research page for more details.
Contact: anhan[at]scu[dot]edu
News and current professional activities:
+ [August 2023] My newest paper with Lawrence Berkeley National Laboratory scientists has been published in ACM Transactions on Mathematical Software.
+ [Summer 2023] I have just been awarded an appointment to the U.S. Department of Energy (DOE) Visiting Faculty Program (VFP) at the Lawrence Berkeley National Laboratory (LBNL).
+ I attended the MAA Golden Section Meeting 2023, Feb 2023, Santa Rosa Junior College.
+ [Jan. 2023] With Relja Vulanović, our paper has been accepted for publication in Applied Numerical Mathematics.
+ [Nov. 2022] With Relja Vulanović, we have submitted a manuscript: Schemes That Are Exactly First-Order Uniformly Accurate on the Shishkin Mesh.
+ [June 2022] Visiting Faculty Program Lecture Series (LBNL News).
+ [May 2022] HNU News (interviewed/edited by Lyndsey Widner '22).
+ [Summer 2022] I was awarded an appointment to the U.S. Department of Energy (DOE) Visiting Faculty Program (VFP) at the Lawrence Berkeley National Laboratory (LBNL).
+ [Winter 2022] HNU Today Magazine.
+ [Dec. 2021] With S. MacLachlan and N. Madden, our joint article: A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion has been accepted for publication in the SIAM Journal on Matrix Analysis and Its Applications (SIMAX).
+ [Nov. 2021] With V. Mai and Z. Hammouch, our joint paper: “A Mathematical Model of Enzymatic non-competitive inhibition by product and its applications” has been published in Physica Scripta.
+ [Mar. 2022] I will present a talk at the 18th Workshop on Numerical Methods for Problems with Layer Phenomena in Hagen, Germany. (abstract)
+ [Jul. 2021] With Relja Vulanovic, our joint paper “An Improved Kellogg-Tsan Solution Decomposition in Numerical Methods for Singularly Perturbed Convection-Diffusion Problems” has been accepted for publication in Applied Numerical Mathematics.
+ [Mar. 2021] I present a talk in the Seminar of the School of Mathematics, Applied Mathematics and Statistics, NUI Galway.
+ [Winter 2021] HNU Today Magazine.
+ [Nov. 2020] I presented a talk entitled: “A uniform convergence analysis for a Bakhvalov-type mesh with an explicitly defined transition point” at the NUMGRID 2020 Conference.
+ [Aug. 2020] I presented a talk entitled: “The Bakhvalov mesh: a 50 year history and recent results” at the 20th Biennial Computational Techniques and Applications Conference (CTAC2020) held at UNSW, Sydney, Australia from 30/8 to 9/2/2020.
+ [Jun. 2020] My four (4) recent papers have been accepted for publication. Please see my publication page for details.
+ HNU Faculty News. (Fall 2019)
+ Conference on Computational Mathematics and Applications
University of Nevada, Las Vegas, October 25 – 27, 2019. Title and abstract.
+ Computing Sciences Seminar, Lawrence Berkeley National Lab, Sep. 24. Title and abstract. Slides.
+ I gave a contributed talk at the International Conference on Preconditioning Techniques for Scientific and Industrial Applications, July 1-3, 2019, Minneapolis, MN, USA. (Received the travel award for junior researchers)
+ I present a talk at the AMS Western Sectional Meeting, San Francisco State University, Oct 27-28, 2018. The title and abstract of my talk can be found here.
+ I contributed a presentation in Workshop 5 of the one-day conference on Promoting Active Engagement in the Mathematics Classroom, Jan 20, 2018, Ohlone College, Newark Campus. (slides)
+ I attended the 43rd AMATYC Annual Conference in San Diego, Nov 9-12, 2017.
+ I was awarded the National Science Foundation Travel Award for junior US researchers to attend the International Conference on Preconditioning Techniques for Scientific and Industrial Applications, July 31–August 2, 2017, Vancouver, Canada.
+ The Bay Area Scientific Computing Day (BASCD), Friday December 11, 2015.
+ Matrix Computations and Scientific Computing Seminar, UC Berkeley, Fall 2015.
+ Applied Math Seminar, UC Berkeley, Fall 2015.
+ The DMML (Development of Modern Methods for Linear Algebra) workshop UC Berkeley, Oct 23–24 2015. This workshop is dedicated to James Demmel for his leadership in modern high-accuracy and high-performance linear algebra solvers and for his promotion of numerical linear algebra to a broad audience through software, teaching, and collaboration.
Past PhD project (2011-2015): The goal of this project was to develop fast, robust, multigrid-based solvers for linear systems that occur when generating numerical solutions to singularly perturbed partial differential equations (SPPDEs). These problems occur in a wide variety of mathematical models, from fluid flow to computational finance. They are characterised by a small positive perturbation parameter multiplying the highest derivative, leading to the presence of boundary and/or interior layers (localised regions where the solution varies rapidly, and so has large derivatives). SPPDEs can be difficult to solve numerically, largely due to presence of the layers. The project was funded by the Irish Research Council Grant No. RS/2011/179.
Past MSc project (2009-2011): I worked as part of an interdisciplinary team spanning Informatics, Mathematics, Applied Mathematics, and Health Sciences and had particular responsibility for designing and implementing numerical methods for systems on nonlinear equations that model patient response to certain drugs in real-time, and predicted the impact on the patient of different drug regimes. The project was funded by Science Foundation Ireland (SFI) under their Research Frontiers Programme. For my research in details, please click here.
