Comments (2)
You are right. It should rather say "any even accuracy order". In case of requested odd accuracy orders, I chose to automatically fall back to the next higher even accuracy order, because - being more accurate - this should do no harm. However, I see your point and it may be cleaner to raise an exception instead.
Regarding your question on why only even orders: When I originally wrote the package, I couldn't think of a use case where one would need to use asymmetric coefficients in the interior of the grid instead of symmetric ones. And for symmetric coefficients, odd accuracy orders do not exist. Since one wouldn't want to mix different accuracy orders on the same grid, I saw no need for odd orders.
from findiff.
I see. Yes, I think an exception probably makes more sense.
A simple use case for asymmetric odd-order are the backward differentiation formulas (https://en.wikipedia.org/wiki/Backward_differentiation_formula). Of course these only need to be derived once, and we don't use arbitrarily high-order BDF since they're unstable.
from findiff.
Related Issues (20)
- multi dimensional coordinates HOT 1
- Derivatives for a single point in a vector space HOT 1
- PDEs HOT 1
- Using findiff to solve the stationary Schrödinger equation HOT 2
- Allow the user to specify difference method HOT 2
- Problems with the stencil matrix HOT 4
- Time-dependency HOT 2
- First Order Schemes HOT 1
- Replace math images by latex expressions HOT 2
- Analytic inversion of Vandermonde matrix HOT 5
- Outdated conda-forge builds HOT 2
- Higher accuracy derivatives in 3D HOT 3
- Accuracy HOT 2
- How are the higher order derivatives computed in your code? HOT 1
- integrals in boundary conditions? HOT 2
- DOC: Equations seem broken on documentation site HOT 1
- Input for non-uniform spacing HOT 2
- Single point derivative
- possible typo in theory section
- Numerical derivative?
Recommend Projects
-
React
A declarative, efficient, and flexible JavaScript library for building user interfaces.
-
Vue.js
🖖 Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.
-
Typescript
TypeScript is a superset of JavaScript that compiles to clean JavaScript output.
-
TensorFlow
An Open Source Machine Learning Framework for Everyone
-
Django
The Web framework for perfectionists with deadlines.
-
Laravel
A PHP framework for web artisans
-
D3
Bring data to life with SVG, Canvas and HTML. 📊📈🎉
-
Recommend Topics
-
javascript
JavaScript (JS) is a lightweight interpreted programming language with first-class functions.
-
web
Some thing interesting about web. New door for the world.
-
server
A server is a program made to process requests and deliver data to clients.
-
Machine learning
Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.
-
Visualization
Some thing interesting about visualization, use data art
-
Game
Some thing interesting about game, make everyone happy.
Recommend Org
-
Facebook
We are working to build community through open source technology. NB: members must have two-factor auth.
-
Microsoft
Open source projects and samples from Microsoft.
-
Google
Google ❤️ Open Source for everyone.
-
Alibaba
Alibaba Open Source for everyone
-
D3
Data-Driven Documents codes.
-
Tencent
China tencent open source team.
from findiff.