Stuck on an issue?

Lightrun Answers was designed to reduce the constant googling that comes with debugging 3rd party libraries. It collects links to all the places you might be looking at while hunting down a tough bug.

And, if you’re still stuck at the end, we’re happy to hop on a call to see how we can help out.

method of characteristics

See original GitHub issue

The method of characteristics is tailored to solve unsteady advection equations

(Ern & Guermond 2004, Theory and Practice of Finite Elements, §6.3.3 ‘The method of characteristics’).

(This is a stub which I’ll fill out shortly, but for now to refer to from the discussion of the evaluation matrix #593. I expect it to be a heavy load on that or probes #572.)

Issue Analytics

State:
Created 2 years ago
Comments:5 (5 by maintainers)

Top GitHub Comments

1reaction

kinnalacommented, Jul 26, 2021

There is also an efficient “in_polygon” implementation in matplotlib (Path class). There are also algorithms for 3D meshes, e.g. https://github.com/marmakoide/inside-3d-mesh

0reactions

gdmcbaincommented, Jul 26, 2021

A very simple one-dimensional, uniform advecting velocity, zero diffusion, example is discussed in ‘Is this a good way to implement the method of characteristics for advection equation?’ (FEniCS Q&A, 2017-03-19).

Top Results From Across the Web

Method of characteristics - Wikipedia

In mathematics, the method of characteristics is a technique for solving partial differential equations. Typically, it applies to first-order equations, ...

2 First-Order Equations: Method of Characteristics

We can use ODE theory to solve the characteristic equations, then piece together these characteristic curves to form a surface.

General Strategy - Method of Characteristics

Here is the general strategy for applying the method of characteristics to a PDE of the form (1). Step 1. Solve the two...

The Method of Characteristics - Trinity University

The Method. Examples. The Method of Characteristics. Ryan C. Daileda. Trinity University. Partial Differential Equations. January 22, 2015. Daileda.

Examples of the Method of Characteristics

In this section, we present several examples of the method of characteristics for solving an IVP. (initial value problem), without boundary conditions, ...