Support Spherical Harmonics #15
Merged
Conversation
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
|
Cool!
…Sent from my iPhone
On 19 Mar 2017, at 12:12, Richard Mikael Slevinsky ***@***.***> wrote:
This adds Alpert & Rokhlin's Legendre-to-Chebyshev conversions via an adaptation of the Fast Multipole Method.
Using this gist, the following error and timings plot compare and contrast the asymptotic, Toeplitz-dot-Hankel, and hierarchical methods. I propose that all methods be kept in the repository for future study.
You can view, comment on, or merge this pull request online at:
#15
Commit Summary
add Leg2Cheb and Cheb2Leg
File Changes
M REQUIRE (2)
M src/FastTransforms.jl (14)
A src/hierarchical.jl (146)
M src/toeplitzhankel.jl (8)
Patch Links:
https://github.com/MikaelSlevinsky/FastTransforms.jl/pull/15.patch
https://github.com/MikaelSlevinsky/FastTransforms.jl/pull/15.diff
—
You are receiving this because you are subscribed to this thread.
Reply to this email directly, view it on GitHub, or mute the thread.
|
restructure coefficient matrix of spherical harmonics to include
negative modes. Interlaced as follows:
[c^{0} c^{-1} c^{1} c^{-2} c^{2} …]
to match ApproxFun’s interlacing of Laurent and Fourier modes.
update for HierarchicalMatrices.A_mul_B!
re-work readme
MikaelSlevinsky
changed the title
|
A passing build! This pull request has been hijacked to include a fast and backward stable transformation from spherical harmonic expansions to bivariate Fourier series. |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
This adds Alpert & Rokhlin's Legendre-to-Chebyshev conversions via an adaptation of the Fast Multipole Method.
Using this gist, the following error and timings plot compare and contrast the asymptotic, Toeplitz-dot-Hankel, and hierarchical methods. I propose that all methods be kept in the repository for future study.