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 12Nov 12
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 7Nov 7
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 6Nov 6
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 5Nov 5
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 4Nov 4
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 4Nov 4
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 4Nov 4
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 4Nov 4
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 4Nov 4
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 4Nov 4