As the CBSE Class 10 Maths board exam approaches, students must focus on key topics and practise official sample papers to understand the exam pattern. Regular revision and timed practice can help ...

This paper introduces the Julia programming language as a dynamic, cost-effective, and efficient framework for implementing structural analysis packages. To achieve this, the finite element method was ...

In this paper, the equation for the gravity wave spectra in mean atmosphere is analytically solved without linearization by the Adomian decomposition method. As a consequence, the nonlinear nature of ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: A comprehensive approach to designing and analyzing the polarization converter based on metasurfaces is carried out by using full-wave simulation method, such as Finite Difference Time ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Linear attention-based models are gaining attention for their faster processing speed and comparable performance to Softmax transformers. However, large language models (LLMs), due to their large size ...