Mamikon Gulian

Data-driven learning of nonlocal physics from high-fidelity synthetic data

Huaiqian You, Yue Yu, Nathaniel Trask et al. · Computer Methods in Applied Mechanics and Engineering · 2020 · 68 citations · Full text

Non-local Interaction, Engineering, Machine Learning +6

What Is the Fractional Laplacian?

Anna Lischke, Guofei Pang, Mamikon Gulian et al. · arXiv (Cornell University) · 2018 · 66 citations · Full text

Numerical Analysis, Fractional Laplacian, Boundary Conditions +8

Fractional Modeling in Action: a Survey of Nonlocal Models for Subsurface Transport, Turbulent Flows, and Anomalous Materials

Jorge L. Suzuki, Mamikon Gulian, Mohsen Zayernouri et al. · Journal of Peridynamics and Nonlocal Modeling · 2022 · 45 citations

Nonlocal Models, Engineering, Physics +12

Towards a Unified theory of Fractional and Nonlocal Vector Calculus

Marta D’Elia, Mamikon Gulian, Hayley Olson et al. · Fractional Calculus and Applied Analysis · 2021 · 32 citations · Full text

Generalized Function, Fractional-order System, Nonlocal Vector Calculus +4

Gaussian process regression constrained by boundary value problems

Mamikon Gulian, Ari Frankel, Laura Swiler · Computer Methods in Applied Mechanics and Engineering · 2021 · 22 citations · Full text

Numerical Analysis, Gaussian Process Regression, Pde-constrained Optimization +3