ranocha / SummationByPartsOperators.jl / 9518377215

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Function space SBP operators (#268)

* first draft for function space operators

* some spaces

* order alphabetically

* don't force basis_function to be passed as vector

* allow passing accuracy_order

* first (basically) working version

* orthonormalization via Gram-Schmidt

* add some basic tests

* some smaller optimizations

* fix import of Options

* another fix...

* avoid unnecessary anonymous function

* use version of spzeros that is compatible with older Julia versions

* FunctionSpaceOperator -> function_space_operator

* add proper docstring

* extend docstring

* put constructor function in extension

* allow passing options

* clarify that the operator is of derivative_order 1

* only Optim has to be loaded

* only for Julia 1.9

* remove fallback imports with Requires

* use PreallocationTools.jl to reduce allocations

* add kwarg derivative-order

* add analytical gradient (still much slower than ForwardDiff.jl)

* fuse function and gradient evaluation

* avoid some type conversions

* use div instead of sum

* Apply suggestions from code review

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* change order of loops

* Update ext/SummationByPartsOperatorsOptimForwardDiffExt.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* import dot

* move optimization_function_and_grad to fix type instability introduced by closure bug

* move optimization_function_and_grad! outside (that was it!)

* Update ext/SummationByPartsOperatorsOptimForwardDiffExt.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* some cleanups

* ignore stale dependency PreallocationTools in Aqua

* add test with non-equidistant nodes

* fix test

* remove kwargs x_min and x_max

* add experimental feature warning

* Update test/matrix_operators_test.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.... (continued)

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