A sequence is defined by the recurrence relation \({U_n} = m{U_{n - 1}} + c\) Find the values of \(m\) and \(c\) if \({U_1} = - 3\), \({U_2} = 7\) and \({U_3} = 10 ...

A computational physics project for solving the 1D time-dependent Schrödinger equation using numerical methods. This solver simulates quantum wave packet dynamics in various potential configurations.

Abstract: A neural-network algorithm for solving a set of nonlinear equations is proposed. The computation is carried out by simple gradient descent rule with variable step-size. In order to make the ...

Abstract: Conventional numerical simulation methods may become challenging when handling complex geometries due to ineffective discretization and large number of degrees of freedom. Based on the ...