TNPACK - A truncated Newton minimization package for large-scale problems: I. Algorithm and usage. - Tamar Schlick; Aaron L. Fogelson (ACM Trans. Math. Softw., 1992)

TNPACK - a truncated Newton minimization package for large-scale problems: II. Implementation examples. - Tamar Schlick; Aaron L. Fogelson (ACM Trans. Math. Softw., 1992)

Algorithm 702: TNPACK-a truncated Newton minimization package for large-scale problems: I. Algorithm and usage. - Tamar Schlick; Aaron L. Fogelson (ACM Trans. Math. Softw., 1992)

Computational Engineering and Science Program at the University of Utah. - Carleton DeTar; Aaron L. Fogelson; Christopher R. Johnson 001; Christopher A. Sikorski (International Conference on Computational Science (1), 2001)

Immersed Interface Methods for Neumann and Related Problems in Two and Three Dimensions. - Aaron L. Fogelson; James P. Keener (SIAM J. Sci. Comput., 2001)

Computational Engineering and Science Program at the University of Utah. - Carleton DeTar; Aaron L. Fogelson; Christopher R. Johnson 001; Christopher A. Sikorski; Thanh N. Truong (International Conference on Computational Science, 2004)

Unconditionally stable discretizations of the immersed boundary equations. - Elijah P. Newren; Aaron L. Fogelson; Robert D. Guy; Robert M. Kirby (J. Comput. Phys., 2007)

An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics. - Grady B. Wright; Robert D. Guy; Aaron L. Fogelson (SIAM J. Sci. Comput., 2008)

Kinetics of Swelling Gels. - James P. Keener; Sarthok Sircar; Aaron L. Fogelson (SIAM J. Appl. Math., 2011)

A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method - Varun Shankar; Grady B. Wright; Aaron L. Fogelson; Robert M. Kirby (CoRR, 2012)

A Radial Basis Function (RBF)-Finite Difference Method for the Simulation of Reaction-Diffusion Equations on Stationary Platelets within the Augmented Forcing Method. - Varun Shankar; Grady B. Wright; Aaron L. Fogelson; Robert M. Kirby (CoRR, 2013)

Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows - Varun Shankar; Grady B. Wright; Robert M. Kirby; Aaron L. Fogelson (CoRR, 2013)

An immersed boundary method for two-fluid mixtures. - Jian Du; Robert D. Guy; Aaron L. Fogelson (J. Comput. Phys., 2014)

Fourth-Order Interface Tracking in Two Dimensions via an Improved Polygonal Area Mapping Method. - Qinghai Zhang; Aaron L. Fogelson (SIAM J. Sci. Comput., 2014)

A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. - Varun Shankar; Grady B. Wright; Robert M. Kirby; Aaron L. Fogelson (J. Sci. Comput., 2015)

A Framework for Exploring the Post-gelation Behavior of Ziff and Stell's Polymerization Models. - Aaron L. Fogelson; James P. Keener (SIAM J. Appl. Math., 2015)

Eulerian-Lagrangian Treatment of Nondilute Two-Phase Gels. - Victor Camacho; Aaron L. Fogelson; James P. Keener (SIAM J. Appl. Math., 2016)

MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semialgebraic Sets. - Qinghai Zhang; Aaron L. Fogelson (SIAM J. Numer. Anal., 2016)

Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces. - Varun Shankar; Robert M. Kirby; Aaron L. Fogelson (CoRR, 2018)

Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations. - Varun Shankar; Aaron L. Fogelson (J. Comput. Phys., 2018)

Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces. - Varun Shankar; Robert M. Kirby; Aaron L. Fogelson (SIAM J. Sci. Comput., 2018)

A Mathematical Model of Platelet Aggregation in an Extravascular Injury Under Flow. - Kathryn Link; Matthew G. Sorrells; Nicholas A. Danes; Keith B. Neeves; Karin Leiderman; Aaron L. Fogelson (Multiscale Model. Simul., 2020)

An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains. - Varun Shankar; Grady B. Wright; Aaron L. Fogelson (J. Comput. Phys., 2021)

A Model of Fluid-Structure and Biochemical Interactions with Applications to Subclinical Leaflet Thrombosis. - Aaron Barrett; Jordan A. Brown; Margaret Anne Smith; Andrew Woodward; John P. Vavalle; Arash Kheradvar; Boyce E. Griffith; Aaron L. Fogelson (CoRR, 2022)

A fine-grained parallelization of the immersed boundary method. - Andrew T. Kassen; Varun Shankar; Aaron L. Fogelson (Int. J. High Perform. Comput. Appl., 2022)

A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains. - Aaron Barrett; Aaron L. Fogelson; Boyce E. Griffith (J. Comput. Phys., 2022)

Immersed boundary simulations of cell-cell interactions in whole blood. - Andrew T. Kassen; Aaron Barrett; Varun Shankar; Aaron L. Fogelson (J. Comput. Phys., 2022)

Development of Fibrin Branch Structure Before and After Gelation. - Aaron L. Fogelson; Anna C. Nelson; Cheryl Zapata-Allegro; James P. Keener (SIAM J. Appl. Math., 2022)

Deswelling Dynamics of Chemically-Active Polyelectrolyte Gels. - Bindi M. Nagda; Jian Du; Owen L. Lewis; Aaron L. Fogelson (ICCS (5), 2023)

Adaptive Mesh Refinement for Two-Phase Viscoelastic Fluid Mixture Models. - Bindi M. Nagda; Aaron Barrett; Boyce E. Griffith; Aaron L. Fogelson; Jian Du (CoRR, 2024)