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math.NA2026
Mode-Shape Expansion Using Physics-Constrained Gaussian Process Regression
Farid Ghahari
This paper addresses the challenge of reconstructing full-field structural mode shapes from sparse sensor data. While Gaussian Process Regression (GPR) offers a robust non-parametr…
math.NA2025
Numerical Discretization Methods for Seismic Response Analysis of SDOF Systems: A Unified Perspective
Farid Ghahari
This paper reviews the most commonly used numerical methods for solving the differential equation governing the dynamic response of linear elastic Single-Degree-of-Freedom (SDOF) s…