Implementation of MPRK22 and MPRK43 for nonconservative PDS (includes cleaning up the caches) (#85)

* Removed unnecessary code in initialize! for out-of-place MPE

* MPRK22 for nonconservative PDS

* Test MPRK22 for nonconservative PDS

* Removed dolinsolve and cleaned chaches of MPRK22

* MPRK43: solver for nonconservative PDS, removed dolinsolve, cleaned caches

* Additional tests for MPRK43 solving nonlinear PDS

* Avoid division by zero in MPRK43

* Removed precs hack

* Update src/mprk.jl

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

* Update src/mprk.jl

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

* Update src/mprk.jl

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

* Update src/mprk.jl

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

* Update src/mprk.jl

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

* Update src/mprk.jl

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

* Update test/runtests.jl

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

* Update test/runtests.jl

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

* Update test/runtests.jl

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

* Incremented version number

---------

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

Author: SKopecz

Project.toml

@@ -1,7 +1,7 @@
 name = "PositiveIntegrators"
 uuid = "d1b20bf0-b083-4985-a874-dc5121669aa5"
 authors = ["Stefan Kopecz, Hendrik Ranocha, and contributors"]
-version = "0.1.13"
+version = "0.1.14"
 
 [deps]
 FastBroadcast = "7034ab61-46d4-4ed7-9d0f-46aef9175898"