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

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 ...

War plan or battle plan? Classified or not? The answers to those questions amount to a distinction without much of a difference. By David E. Sanger David E. Sanger has covered the intersection of ...

In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...

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 ...