Abstract: This study presents a physics-based iterative learning framework for solving forward electromagnetic scattering problems in piecewise homogeneous dielectric regions. Building on integral ...
We present a systematic derivation of three mathematical models of increasing complexity for optical design, based on Hamilton’s characteristic functions and conservation of luminous flux, and briefly ...
% This Matlab code solves three-variable non-linear equation f(x) = 0 using Newton-Raphson iterative method [1]. % Ref. [1] S. Chapra, "Applied numerical methods with MATLAB", Mc Craw Hill, Singapore ...
Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...
Neural networks are widely adopted in various fields due to their ability to model complex patterns and relationships. However, they face a critical vulnerability to adversarial attacks – small, ...
Large language models (LLMs), including GPT-4, LLaMA, and PaLM are pushing the boundaries of artificial intelligence. The inference latency of LLMs plays an important role because of LLMs integration ...
ABSTRACT: The higher-order numerical scheme of nonlinear advection-diffusion equations is studied in this article, where the space fractional derivatives are evaluated by using weighted and shifted ...