[translate] a当你孤独时谁能记得你? 当你孤独时谁能记得你?[translate] a2#浊度标准液 2# turbidity standard fluid[translate] aSolving the wave equation, 解决波动方程,[translate]
wave equation (redirected fromSolving the wave equation) Thesaurus Encyclopedia wave equation n. 1.A differential or partial differential equation used to represent wave motion. 2.The fundamental equation of wave mechanics. American Heritage® Dictionary of the English Language, Fifth Edition. Copyright...
We explore a new asymptotic-numerical solver for the time-dependent wave equation with an interaction term that is oscillating in time with a very high frequency. The method involves representing the solution as an asymptotic series in inverse powers of the oscillation frequency. Using the new ...
Numerical methods based on finite differences for solving the wave equation are prone to various errors, a challenge that also applies to the semi-discrete case of a recently proposed quantum algorithm that preserves continuous time while discretizing space into a quantum state vector. The inherent ...
The aim of this thesis is implementation of algorithm for numerical solution of the wave equation on graphics processing unit. We used Euler and 4th order Runge-Kutta method. The methods differ in calculation complexity, numerical accuracy and numerical stability. Algorithms were implemented on CUDA ...
We will present a study of our attempt to solve the Paraxial Wave Equation to simulate propagation of various laser beams in vacuum as well as in a turbulent medium. Our approach is to explore the suite of partial differential equation solvers in COMSOL® and cast our problem as an initial...
This package not only provides a numerical framework for solving the wave equation, but it also allows the gradient of the solutions to be computed automatically via pytorch's automatic differentiation framework. This gradient computation is equivalent to the adjoint variable method (AVM) that has re...
Solving the Paraxial Wave Equation using COMSOL The paraxial wave equation as described in chapter 4 of Andrews and Phillips (ref. 1) describes the propagation of optical waves through free space in the case where the transverse structure (beam profile in the xy plane) of an optical beam evolv...
Use C=VC′ to obtain the coefficients of basis, construct the final wave function. Example: Infinite potential box. [Math Processing Error]V(x)={0,x∈[−1,1]∞,otherwise The analytical solution is: \psi_n(x) = \left\{ \begin{aligned} & \cos(k_n x),\quad n{\rm{\, \, ...
Here we present and discuss numerical solutions to the paraxial wave equation using COMSOL (2D, PDE, General Form, time-dependent analysis). Ultimately, the goal is to extend this treatment of free-space beam propagation to the case of propagation through a medium that is non-uniform and ...