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math.NA2026
Data-Driven Discovery of Sign-Indefinite Artificial Viscosity for Linear Convection -- A Space-Time Reconvolution Perspective
Arun Govind Neelan
Artificial viscosity is traditionally interpreted as a positive, spatially acting regularization introduced to stabilize numerical discretizations of hyperbolic conservation laws.…
math.NA2026
Event-Level Probabilistic Prediction of Extreme Rainfall over India Using Physics-Gated Latent Dynamics
Arun Govind Neelan
Extreme rainfall over the Indian monsoon region poses severe societal and infrastructural risks but remains difficult to predict at daily time scales due to stochastic convective t…
math.NA2023
Von Neumann Stability Analysis for Multi-level Multi-step Methods
Arun Govind Neelan
Von Neumann stability analysis, a well-known Fourier-based method, is a widely used technique for assessing stability in numerical computations. However, as noted in "Numerical Sol…