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https://github.com/jagot/finitedifferencesquasi.jl

Last synced: 6 days ago
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Host: GitHub
URL: https://github.com/jagot/finitedifferencesquasi.jl
Owner: jagot
License: other
Created: 2018-11-27T07:33:53.000Z (about 6 years ago)
Default Branch: master
Last Pushed: 2020-05-17T10:08:13.000Z (over 4 years ago)
Last Synced: 2024-11-15T18:34:59.390Z (2 months ago)
Language: Julia
Size: 68.4 KB
Stars: 0
Watchers: 2
Forks: 1
Open Issues: 2
Metadata Files:
- Readme: README.org
- License: LICENSE.md

Awesome Lists containing this project

README

        #+TITLE: FiniteDifferencesQuasi.jl

#+AUTHOR: Stefanos Carlström

#+EMAIL: [email protected]

*THIS LIBRARY HAS BEEN DEPRECATED*

a more structured library, with support for FE-DVR and

B-splines as well can be found at

[[https://github.com/JuliaApproximation/CompactBases.jl]]

[[https://travis-ci.org/jagot/FiniteDifferencesQuasi.jl][https://travis-ci.org/jagot/FiniteDifferencesQuasi.jl.svg?branch=master]]

[[https://ci.appveyor.com/project/jagot/finitedifferencesquasi-jl][https://img.shields.io/appveyor/ci/jagot/finitedifferencesquasi-jl.svg?logo=appveyor]]

[[https://codecov.io/gh/jagot/FiniteDifferencesQuasi.jl][https://codecov.io/gh/jagot/FiniteDifferencesQuasi.jl/branch/master/graph/badge.svg]]

#+PROPERTY: header-args:julia :session *julia-README*

Implementation of finite differences in the framework of

[[https://github.com/JuliaApproximation/ContinuumArrays.jl][ContinuumArrays.jl]].

#+BEGIN_SRC julia :exports none

  using Pkg

  Pkg.activate(".")

#+END_SRC

#+BEGIN_SRC julia :exports both :results verbatim

  using FiniteDifferencesQuasi

  B = FiniteDifferences(5,1.0)

#+END_SRC

#+RESULTS:

: Finite differences basis {Float64} on 1.0..5.0 with 5 points spaced by Δx = 1.0

#+BEGIN_SRC julia :exports both :results verbatim

  D = Derivative(axes(B,1))

#+END_SRC

#+RESULTS:

: Derivative{Float64,IntervalSets.Interval{:closed,:closed,Float64}}(1.0..5.0)

#+BEGIN_SRC julia :exports both :results verbatim

  ∇ = B'*D*B

#+END_SRC

#+RESULTS:

: 5×5 LinearAlgebra.Tridiagonal{Float64,Array{Float64,1}}:

:   0.0   0.5    ⋅     ⋅    ⋅ 

:  -0.5   0.0   0.5    ⋅    ⋅ 

:    ⋅   -0.5   0.0   0.5   ⋅ 

:    ⋅     ⋅   -0.5   0.0  0.5

:    ⋅     ⋅     ⋅   -0.5  0.0

#+BEGIN_SRC julia :exports both :results verbatim

  ∇² = B'D'D*B

#+END_SRC

#+RESULTS:

: 5×5 LinearAlgebra.SymTridiagonal{Float64,Array{Float64,1}}:

:  -2.0   1.0    ⋅     ⋅     ⋅ 

:   1.0  -2.0   1.0    ⋅     ⋅ 

:    ⋅    1.0  -2.0   1.0    ⋅ 

:    ⋅     ⋅    1.0  -2.0   1.0

:    ⋅     ⋅     ⋅    1.0  -2.0