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Add Hyperbolic Sainte-Marie Equations 1D (#135)

* add hypsm

* fmt

* add tests

* add docs for the fluxes

* fixup

* fix type tests

* fix type tests

* fix

* fix

* fis

* change name of flux

* fix exports

* Apply suggestions from code review

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

* fix docs

* change name convenction for the struct

* fix tests

* fix docs

* Update src/equations/hyperbolic_sainte_marie_1d.jl

Co-authored-by: Patrick Ersing <114223904+patrickersing@users.noreply.github.com>

* Update examples/tree_1d_dgsem/elixir_hyperbolic_sainte_marie_ec.jl

Co-authored-by: Patrick Ersing <114223904+patrickersing@users.noreply.github.com>

* add docs, fix naming conventions, small fixes

* add tests, add manufactured solution

* add elixir

* minor fix

* remove unused time integrator

* add NEWS

* fix docs

* fix test values

* fmt

* fix tests value

* increase tolerance

* update test values

* change alpha to beta for the fluxes

* revert beta renaming

* rename fluxes

* fix type tests

* fix export

* fix typo

* Apply suggestions from code review

Co-authored-by: Marco Artiano <57838732+MarcoArtiano@users.noreply.github.com>

* Apply suggestions from code review

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

* update tests

* fmt

* fix test values

* change tspan

* fix test values

* add comment regarding stricter tolerances

* Update test/test_tree_1d.jl

Co-authored-by: Andrew Winters <andrew.ross.winters@liu.se>

* Update test/test_tree_1d.jl

Co-authored-by: Andrew Winters <andrew.ross.winters@liu.se>

* Apply suggestions from code review

Co-authored-by: Marco Artiano <57838732+MarcoArtiano@users.noreply.github.com>

* Apply suggestions from code review

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

* add LF flux and type test

* Apply suggestion from @ranocha

* move the news to 0.3 cycle

* add flux function

---------

Co-authored-by: Hendrik Ranocha ... (continued)

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Source Files on job 30823698321.4