Publications

• Aytekin Çibik, Farjana Siddiqua, and William Layton, "The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations", submitted to the SIAM Journal on Scientific Computing, 2024. Preprint,2024, [pdf].


• Nicholas Hurl, Farjana Siddiqua, and Shuxian Xu, "Stability and Accuracy analysis of the θ Method and 3-Point Time filter", Preprint, 2023. [pdf].


• Farjana Siddiqua, and Wenlong Pei, "Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model", submitted to the Journal of Numerical Methods for Partial Differential Equations, 2023. [pdf].


• Farjana Siddiqua, and Xihui Xie, "Numerical Analysis of a Corrected Smagorinsky Model", published in the Journal of Numerical Methods for Partial Differential Equations, Volume 39(1), pages 356-382, 2022. [pdf].


• Farjana Siddiqua, and Catalin Trenchea, "A second-order symplectic method for an advection-diffusion-reaction problem in Bioseparation", published as a technical report, TR-MATH 22-03, University of Pittsburgh, 2022. [pdf].


• Mohammad Ferdows, Nayema Islam Nima, and Farjana Siddiqua, "Similarity Solution and Numerical analysis of the steady nanofluid layer induced by gyrotactic microorganisms containing wall temperature variations", published in the Journal of Computational Mathematics and Modeling, Volume 31, pages 277-291, 2020. [pdf].


• Farjana Siddiqua, Zhongming Wang, and Shenggao Zhou, “A Modified Poisson--Nernst--Planck Model with Excluded Volume Effect: Theory and Numerical Implementation", published in the Journal of Communications in Mathematical Sciences, Volume 16(1), pages 251-271, 2018. [pdf].

Research Talks

• Gave a talk on “The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations”, Finite Element Circus, Brown University, Spring 2024.
• Presented Poster on "Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model", AWM Workshop Poster Session, SIAM Conference on Optimization (OP23), Seattle, Summer 2023.
• Gave a talk on “Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for A Corrected Smagorinsky Model”, Finite Element Circus, Carnegie Mellon University, Fall 2022.
• Gave a talk on “A second-order symplectic method for an advection-diffusion-reaction problem in Bioseparation”, Sayas Numerics day 2022, University of Maryland, Baltimore County.
• Gave a talk on “A second-order symplectic approach for an advection-diffusion-reaction problem in Bioseparation”, 2022 SIAM Annual Meeting (AN22), Pittsburgh.
• Presented Poster on “Numerical Analysis of a Drug Designing Model”, 2022 AWM Research Symposium, University of Minnesota.
• Gave a talk on “Numerical Analysis of a modified Smagorinsky model”, Finite Element Circus, Penn State University, Fall 2021.