PDEBase.jl

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Common types and interface for discretizers of ModelingToolkit PDESystems.

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# PDEBase.jl

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PDEBase.jl provides common types and an interface for building discretizers of ModelingToolkit PDESystems. It serves as a foundation for PDE discretization packages in the SciML ecosystem, such as [MethodOfLines.jl](https://github.com/SciML/MethodOfLines.jl).

## Overview

This package defines:

- Abstract types for discretization (`AbstractEquationSystemDiscretization`, `AbstractOptimizationSystemDiscretization`)
- Abstract types for discrete spaces (`AbstractDiscreteSpace`, `AbstractCartesianDiscreteSpace`)
- Boundary condition types (`LowerBoundary`, `UpperBoundary`, `InterfaceBoundary`)
- Variable mapping utilities (`VariableMap`, `PeriodicMap`)
- Symbolic utilities for parsing and transforming PDE systems
- Default interface functions for implementing custom discretizers

## Installation

```julia
using Pkg
Pkg.add("PDEBase")
```

## Usage

PDEBase.jl is primarily intended as a dependency for PDE discretization packages. If you are building a discretizer for ModelingToolkit PDESystems, you can use PDEBase.jl as a foundation by implementing its interface functions.

For solving PDEs directly, consider using [MethodOfLines.jl](https://github.com/SciML/MethodOfLines.jl), which builds on PDEBase.jl.

## Contributing

If you are using this package or want to use it, please open an issue so we are aware. Contributions and feedback are welcome!

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