Computing Transmitted Fields Through a Homogeneous Circle Using Refraction FormulasIn this post, we’ll explore how to model the transmission of a plane wave propagating along the positive direction of the x-axis through a…Nov 12, 2024Nov 12, 2024
Tracing Optimal Paths through Variable Speed Fields: A Numerical Approach with PythonImagine a scenario where you need to find the fastest path across a landscape, where travel speed varies due to factors like terrain type…Nov 7, 2024Nov 7, 2024
Comparing Custom and Library Implementations of the First Order Fast Marching Method for Varying…Calculating accurate travel times across spatially varying speed fields is crucial in applications like seismic imaging, oceanography…Nov 6, 2024Nov 6, 2024
Solving a Simple System of First-Order Differential Equations with PythonIn this post, we’ll look at how to solve a basic system of first-order ordinary differential equations (ODEs) using Python’s SciPy library…Nov 5, 2024Nov 5, 2024
Numerical Solutions for One-Dimensional Ordinary Differential Equations (ODEs): Exploring Simple…Ordinary Differential Equations (ODEs) form the backbone of many scientific and engineering disciplines. Typically, they describe the…Nov 4, 2024Nov 4, 2024
Fast Marching with Higher Order DerivativesThis post is a short one and follows Escaping the maze: the Eikonal Equation unveiled, A numerical solution to the 1D eikonal equation and…Nov 4, 2024Nov 4, 2024
Two-dimensional Fast MarchingThe present post follows a series of posts: Escaping the maze: the Eikonal Equation unveiled, A numerical solution to the 1D eikonal…Nov 4, 2024Nov 4, 2024
The Godunov scheme for the solution of the two-dimensional eikonal equation and the Fast Sweeping…The present post follows A numerical solution to the 1D eikonal equation and a Python implementation, extends its contents and deals with…Nov 4, 2024Nov 4, 2024
A numerical solution to the 1D eikonal equation and a Python implementationThis post follows Escaping the maze: the Eikonal Equation unveiled where the iconal equation was introduced as a form of dynamic…Nov 4, 2024Nov 4, 2024
Escaping the maze: the Eikonal Equation unveiledHave you ever been stuck in a maze, desperately searching for the quickest way out? Well, fear not, because the Eikonal Equation might just…Nov 4, 2024Nov 4, 2024