Publications

• Aytekin Çibik, Rui Fang, William Layton, and Farjana Siddiqua, "Data Assimilation with model errors", published in the journal of Journal of Computers and Mathematics with Applications, Volume 213, 2026. Preprint, [pdf].


• Farjana Siddiqua, and Catalin Trenchea, "A High-Accuracy Symplectic Scheme for a nonlinear transport problem", published in the Journal of Computational and Applied Mathematics, Volume 45, 2026. Preprint, [pdf].


• Ali Pakzad, and Farjana Siddiqua, "Statistics in a Backscatter Eddy Viscosity Turbulence Model", published in the Journal of Numerical Methods for Partial Differential Equation, Volume 41, Issue 5, 2025. Preprint, [pdf].


• Aytekin Çibik, Rui Fang, William Layton, and Farjana Siddiqua, "Adaptive Parameter Selection in Nudging Based Data Assimilation", published in the journal of Computer Methods in Applied Mechanics and Engineering, Volume 433, Part B, 2025. Preprint, [pdf].


• Aytekin Çibik, Farjana Siddiqua, and William Layton, "The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations", pub;lished in the journal of Numerical Methods for Partial Differential Equations, Volume 41, Issue 2, 2025. Preprint, [pdf].


• Farjana Siddiqua, and Catalin Trenchea, "A high-accuracy symplectic scheme for advection-diffusion-reaction models in bioseparation", published as a technical report, TR-MATH 25-01, University of Pittsburgh, 2025. [pdf].


• Farjana Siddiqua, and Wenlong Pei, "Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model", published in the International Journal of Numerical Analysis and Modeling, pp. 879–909, Volume 21, Issue 6, 2024. Preprint, [pdf].


• Nicholas Hurl, Farjana Siddiqua, and Shuxian Xu, "Stability and Accuracy analysis of the θ Method and 3-Point Time filter", Preprint, 2024. [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

• Presented Poster on "Neural Networks with Local Converging Inputs (NNLCI) for Solving the Stokes Equations", 2026 SIAM Annual Meeting (AN26), Cleveland, Ohio, USA, Summer 2026.
• Gave an invited talk on “Neural Networks with Local Converging Inputs for Solving the Stokes Equations Using Subdomain Data Generation”, Applied and Computational Mathematics Seminar, Georgia Institute of Technology, Spring 2026.
• Gave a talk on “Adaptive parameter selection in nudging based data assimilation”, NSF CompMath Meeting 2025, The University of Utah, Summer 2025.
• Presented Poster on "Adaptive parameter selection in nudging based data assimilation", AWM Research Symposium, University of Wisconsin- Madison, Summer 2025.
• Presented Poster on "Data Assimilation with model errors", Third Joint SIAM/CAIMS Annual Meetings (AN25), Montreal, Canada, Summer 2025.
• Gave an invited talk on “Numerical Analysis of a corrected Smagorisky model”, Pitt AWM Seminar (online), University of Pittsburgh, Fall 2024.
• Presented Poster on "Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model", Conference on Mathematical Models and Numerical Methods for Multiphysics Systems, University of Pittsburgh, Pittsburgh, PA, Summer 2024.
• Gave a talk on “The Ramshaw-Mesina Hybrid Algorithm applied to the Navier Stokes Equations”, Finite Element Circus, Brown University, Spring 2024.
• Gave a talk on “Spurious Numerical Dissipation and Time Accuracy”, Three-minute thesis competition, University of Pittsburgh, Pittsburgh, PA, 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, Fall 2022.
• Gave an invited talk on “A second-order symplectic approach for an advection-diffusion-reaction problem in Bioseparation”, 2022 SIAM Annual Meeting (AN22), Pittsburgh, Summer 2022.
• Presented Poster on “Numerical Analysis of a Drug Designing Model”, 2022 AWM Research Symposium, University of Minnesota, Summer 2022.
• Gave a talk on “Numerical Analysis of a modified Smagorinsky model”, Finite Element Circus, Penn State University, Fall 2021.