Comprehensive financial analysis reveals California families save over $600,000 in housing costs plus $20,000+ annually ...

In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve ...

In recent years the interest on synthesize macromolecules with precisely controlled sizes and functionality has increased significantly, due to the applicability of these materials as microelectronics ...

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: This paper introduces Physics-Informed Deep Equilibrium Models (PIDEQs) for solving initial value problems (IVPs) of ordinary differential equations (ODEs). Leveraging recent advancements in ...

In this paper we use a variational quantum algorithm to solve initial value problems with the implicit Crank-Nicolson and the method of lines (MoL) evolution schemes. The unknown functions use a ...

was derived by Schäfer and Wayne [19] as a model equation for the propagation of ultra-short optical pulses in non-linear media. In this equation, u = u(x, t) is a real-valued function that represents ...

Abstract: Monte Carlo method was a new numerical method different from traditional method. It was based on probability and statistics theory, so it was also called as random sampling or statistical ...