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 ...

Dave Irwin is a writer on Game Rant with over six years worth of experience in the games industry. During this time, he has written countless guides, as well as features and reviews for a wide variety ...

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 ...

The start of a new school year is always filled with anticipation. Teachers hope for engaged students who want to attain success. Students set personal goals and often hope that this year will be ...

Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...