Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows. - Paul Kuberry; Adam Larios; Leo G. Rebholz; Nicholas E. Wilson (Comput. Math. Appl., 2012)

Continuous data assimilation for the 2D magnetohydrodynamic equations using one component of the velocity and magnetic fields. - Animikh Biswas; Joshua Hudson; Adam Larios; Yuan Pei (Asymptot. Anal., 2018)

Efficient solutions for nonlocal diffusion problems via boundary-adapted spectral methods. - Siavash Jafarzadeh; Adam Larios; Florin Bobaru (CoRR, 2019)

Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations. - Matthew Gardner 002; Adam Larios; Leo G. Rebholz; Duygu Vargun; Camille Zerfas (CoRR, 2020)

Parameter Recovery for the 2 Dimensional Navier-Stokes Equations via Continuous Data Assimilation. - Elizabeth Carlson; Joshua Hudson; Adam Larios (SIAM J. Sci. Comput., 2020)

A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture. - Siavash Jafarzadeh; Farzaneh Mousavi; Adam Larios; Florin Bobaru (CoRR, 2021)

The Bleeps, the Sweeps, and the Creeps: Convergence Rates for Dynamic Observer Patterns via Data Assimilation for the 2D Navier-Stokes Equations. - Trenton Franz; Adam Larios; Collin Victor (CoRR, 2021)

Sensitivity Analysis for the 2D Navier-Stokes Equations with Applications to Continuous Data Assimilation. - Elizabeth Carlson; Adam Larios (J. Nonlinear Sci., 2021)

Construction of a peridynamic model for viscous flow. - Jiangming Zhao; Adam Larios; Florin Bobaru (J. Comput. Phys., 2022)

Regularity Criteria for the Kuramoto-Sivashinsky Equation in Dimensions Two and Three. - Adam Larios; Mohammad Mahabubur Rahman; Kazuo Yamazaki (J. Nonlinear Sci., 2022)

The second-best way to do sparse-in-time continuous data assimilation: Improving convergence rates for the 2D and 3D Navier-Stokes equations. - Adam Larios; Yuan Pei; Collin Victor (CoRR, 2023)

Algebraic calming for the 2D Kuramoto-Sivashinsky equations. - Matthew Enlow; Adam Larios; Jiahong Wu (CoRR, 2023)

Moving interfaces in peridynamic diffusion models and the influence of discontinuous initial conditions: Numerical stability and convergence. - Francesco Scabbia; Claudia Gasparrini; Mirco Zaccariotto; Ugo Galvanetto; Adam Larios; Florin Bobaru (Comput. Math. Appl., 2023)

Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier-Stokes Equation Paradigm. - Elizabeth Carlson; Adam Larios; Edriss S. Titi (J. Nonlinear Sci., 2024)

Calmed 3D Navier-Stokes Equations: Global Well-Posedness, Energy Identities, Global Attractors, and Convergence. - Matthew Enlow; Adam Larios; Jiahong Wu (J. Nonlinear Sci., 2024)