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Merge pull request #1600 from stillyslalom/patch-1
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Fix minor typos
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ChrisRackauckas authored May 25, 2022
2 parents 28b36c8 + f238262 commit 56e5844
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6 changes: 3 additions & 3 deletions docs/src/systems/PDESystem.md
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Expand Up @@ -8,7 +8,7 @@ It is currently being built as a component of the ModelingToolkit ecosystem,
The vision for the common PDE interface is that a user should only have to specify
their PDE once, mathematically, and have instant access to everything as simple
as a finite difference method with constant grid spacing, to something as complex
as a distributed multi-GPU discrete Galerkin method.
as a distributed multi-GPU discontinuous Galerkin method.

The key to the common PDE interface is a separation of the symbolic handling from
the numerical world. All of the discretizers should not "solve" the PDE, but
Expand All @@ -20,12 +20,12 @@ the other choice.
These elementary problems, such as solving linear systems `Ax=b`, solving nonlinear
systems `f(x)=0`, ODEs, etc. are all defined by SciMLBase.jl, which then numerical
solvers can all target these common forms. Thus someone who works on linear solvers
doesn't necessarily need to be working on a Discontinuous Galerkin or finite element
doesn't necessarily need to be working on a discontinuous Galerkin or finite element
library, but instead "linear solvers that are good for matrices A with
properties ..." which are then accessible by every other discretization method
in the common PDE interface.

Similar to the rest of the `AbstractSystem` types, transformation and analyses
Similar to the rest of the `AbstractSystem` types, transformation and analysis
functions will allow for simplifying the PDE before solving it, and constructing
block symbolic functions like Jacobians.

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