Perovskite solar cells (PSCs) have emerged as promising alternative for next generation photovoltaics due to their superior ...

In “Straight Talk with Rick and Jal,” Harvard University’s Jal Mehta and I examine the reforms and enthusiasms that permeate education. In a field full of buzzwords, our goal is simple: Tell the truth ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Abstract: We consider the problem of finding an input signal which transfers a linear boundary controlled 1-D parabolic partial differential equation with spatially varying coefficients from a given ...

Abstract: Physics-Informed Neural Networks (PINN) has surged in popularity within deep learning. However, automatic differentiation (AD) based PINN may encounter inaccuracies in the explicit ...

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 ...