Fixing tutorials grammar (#242)
* grammar check and sparse rephrasing * rst created * meta copyright adjusted
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tutorials/tutorial5/tutorial.py
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tutorials/tutorial5/tutorial.py
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@@ -4,7 +4,7 @@
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# # Tutorial: Two dimensional Darcy flow using the Fourier Neural Operator
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# In this tutorial we are going to solve the Darcy flow problem in two dimensions, presented in [*Fourier Neural Operator for
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# Parametric Partial Differential Equation*](https://openreview.net/pdf?id=c8P9NQVtmnO). First of all we import the modules needed for the tutorial. Importing `scipy` is needed for input output operations.
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# Parametric Partial Differential Equation*](https://openreview.net/pdf?id=c8P9NQVtmnO). First of all we import the modules needed for the tutorial. Importing `scipy` is needed for input-output operations.
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# In[1]:
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@@ -22,7 +22,7 @@ import matplotlib.pyplot as plt
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# ## Data Generation
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#
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# We will focus on solving the a specfic PDE, the **Darcy Flow** equation. The Darcy PDE is a second order, elliptic PDE with the following form:
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# We will focus on solving a specific PDE, the **Darcy Flow** equation. The Darcy PDE is a second-order elliptic PDE with the following form:
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#
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# $$
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# -\nabla\cdot(k(x, y)\nabla u(x, y)) = f(x) \quad (x, y) \in D.
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@@ -112,7 +112,7 @@ err = float(metric_err(u_test.squeeze(-1), solver.neural_net(k_test).squeeze(-1)
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print(f'Final error testing {err:.2f}%')
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# ## Solving the problem with a Fuorier Neural Operator (FNO)
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# ## Solving the problem with a Fourier Neural Operator (FNO)
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#
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# We will now move to solve the problem using a FNO. Since we are learning operator this approach is better suited, as we shall see.
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