Scientific Research Publishing

Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights ()

1 School of Mathematics, KNT University of Technology, Tehran, Iran. 2 Department of Mathematics, College of Basic Sciences, Karaj branch Islamic Azad University, Alborz, Iran. In this paper, we ...
GitHub

A collection of computational physics projects applying methods from Numerical Recipes, focusing on algorithmic implementation and interpretation of numerical results.

Problem 1: Approximate (sin(x)) using a truncated Taylor series expansion. The function takes inputs (x) and truncation order (N), returning the series approximation. Truncation errors are analyzed by ...
Wired

You Physics Teachers Really Ought to Teach Numerical Calculations

I love including numerical calculations in my introductory and advanced physics courses. I find that including coding in the introductory physics course forces students to think in different ways to ...
Scientific Research Publishing

An Algorithm to Optimize the Calculation of the Fourth Order Runge-Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations ()

Institute of Mathematics and Computer Science, University of S?o Paulo, S?o Carlos, Brazil. Institute of Physics, University of S?o Paulo, S?o Paulo, Brazil. The kinetic electron trapping process in a ...
PNAS

Learning dynamical systems from data: An introduction to physics-guided deep learning

Modeling complex physical dynamics is a fundamental task in science and engineering. Traditional physics-based models are first-principled, explainable, and sample-efficient. However, they often rely ...