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Assume a linear operator Ĥ with a discrete and continuous
spectrum. Then any function may be expanded over its eigenfunctions:
![expansion](https://user-images.githubusercontent.com/117947/52011748-…
jagot updated
4 years ago
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Say `A isa Basis` and `B isa Basis`, where `axes(A,1) != axes(B,1)`, then we get the following error:
```julia
julia> A'B
ERROR: DimensionMismatch: Second axis of A, Inclusion(0.0..2.0), and first …
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@jagot I'm going to tackle this soon which should speed up \ a lot. Essentially its not too hard to do this in-place, calling LAPACK to do the heavy work.
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[`FEDVR.t`](https://github.com/JuliaApproximation/CompactBases.jl/blob/78be896be85ff3a507aeb92ed46c297f7e0bb44b/src/fedvr.jl#L4) is an `AbstractVector`. Is changing this breaking according to SemVer?
jagot updated
4 years ago
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It's possible to have varying polynomial orders for the finite elements, by specifying the order as a vector:
```julia
using FEDVRQuasi
using FillArrays
L = 1.0
N = 10
order=10
t = range(0,…
jagot updated
4 years ago
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This works on Julia v1.1 but crashes on 20834c3176. Will try bisect.
```julia
using Atoms
using SCF
using AtomicLevels
using AtomicPotentials
using FEDVRQuasi
rₘₐₓ, ρ = 10, 0.1
fedvr_order…
jagot updated
5 years ago
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Discovered during the transition to `Applied`.
```julia
using FEDVRQuasi
using LazyArrays
import LazyArrays: ⋆
t = range(0,stop=20,length=3)
R = FEDVR(t, 10)
```
Trying to `fullmateriali…
jagot updated
5 years ago
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This is slightly difficult to reproduce, but I observe this while trying to upgrade my packages, I stumble when trying to test packages in Julia, that I have in `~/.julia/dev`:
```sh
/tmp
❯ mkdir…
jagot updated
6 years ago
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With this simple script,
```julia
using FEDVR
N = 10
n = 13
L = 5.0
xx = linspace(0,L,N+1)
basis = FEDVR.Basis(xx, n)
T = kinop(basis)
λ,ϕ = eigs(T,which=:SR,nev=30)
m = eachindex(λ)
λa…
jagot updated
6 years ago
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The code example for solving [ODE](http://docs.juliadiffeq.org/stable/tutorials/ode_example.html#Defining-Parameterized-Functions-1) with parameterized functions
```
function parameterized_lorenz(d…