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## Efficient and Scalable Physics-Informed Deep Learning
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#### Collocation-based PINN PDE solvers for prediction and discovery methods on top of [Tensorflow](https://github.com/tensorflow/tensorflow) 2.X for multi-worker distributed computing.
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Use TensorDiffEq if you require:
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- A meshless PINN solver that can distribute over multiple workers (GPUs) for
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forward problems (inference) and inverse problems (discovery)
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- Scalable domains - Iterated solver construction allows for N-D spatio-temporal support
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- support for N-D spatial domains with no time element is included
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- Self-Adaptive Collocation methods for forward and inverse PINNs
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- Intuitive user interface allowing for explicit definitions of variable domains,
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boundary conditions, initial conditions, and strong-form PDEs
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What makes TensorDiffEq different?
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- Completely open-source
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- [Self-Adaptive Solvers](https://arxiv.org/abs/2009.04544) for forward and inverse problems, leading to increased accuracy of the solution and stability in training, resulting in
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less overall training time
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- Multi-GPU distributed training for large or fine-grain spatio-temporal domains
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- Built on top of Tensorflow 2.0 for increased support in new functionality exclusive to recent TF releases, such as [XLA support](https://www.tensorflow.org/xla),
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[autograph](https://blog.tensorflow.org/2018/07/autograph-converts-python-into-tensorflow-graphs.html) for efficent graph-building, and [grappler support](https://www.tensorflow.org/guide/graph_optimization)
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for graph optimization* - with no chance of the source code being sunset in a further Tensorflow version release
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- Intuitive interface - defining domains, BCs, ICs, and strong-form PDEs in "plain english"
## Efficient and Scalable Physics-Informed Deep Learning
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#### Collocation-based PINN PDE solvers for prediction and discovery methods on top of [Tensorflow](https://github.com/tensorflow/tensorflow) 2.X for multi-worker distributed computing.
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+
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Use TensorDiffEq if you require:
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- A meshless PINN solver that can distribute over multiple workers (GPUs) for
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forward problems (inference) and inverse problems (discovery)
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- Scalable domains - Iterated solver construction allows for N-D spatio-temporal support
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- support for N-D spatial domains with no time element is included
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- Self-Adaptive Collocation methods for forward and inverse PINNs
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- Intuitive user interface allowing for explicit definitions of variable domains,
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boundary conditions, initial conditions, and strong-form PDEs
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What makes TensorDiffEq different?
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- Completely open-source
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- [Self-Adaptive Solvers](https://arxiv.org/abs/2009.04544) for forward and inverse problems, leading to increased accuracy of the solution and stability in training, resulting in
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less overall training time
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- Multi-GPU distributed training for large or fine-grain spatio-temporal domains
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- Built on top of Tensorflow 2.0 for increased support in new functionality exclusive to recent TF releases, such as [XLA support](https://www.tensorflow.org/xla),
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[autograph](https://blog.tensorflow.org/2018/07/autograph-converts-python-into-tensorflow-graphs.html) for efficent graph-building, and [grappler support](https://www.tensorflow.org/guide/graph_optimization)
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for graph optimization* - with no chance of the source code being sunset in a further Tensorflow version release
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- Intuitive interface - defining domains, BCs, ICs, and strong-form PDEs in "plain english"
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*In development
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If you use TensorDiffEq in your work, please cite it via:
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```code
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@article{mcclenny2021tensordiffeq,
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title={TensorDiffEq: Scalable Multi-GPU Forward and Inverse Solvers for Physics Informed Neural Networks},
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author={McClenny, Levi D and Haile, Mulugeta A and Braga-Neto, Ulisses M},
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