idrlnet/docs/user/get_started/tutorial.rst

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2021-07-05 11:18:12 +08:00
Tutorial
========
To make full use of IDRLnet. We strongly suggest following the following examples:
1. :ref:`Simple Poisson <Solving Simple Poisson Equation>`. This example introduces the primary usage of IDRLnet. Including creating sampling domains, neural
networks, partial differential equations, training, monitoring, and inference.
2. :ref:`Euler-Bernoulli beam <EulerBernoulli beam>`. The example introduces how to use symbols to construct a PDE node efficiently.
3. :ref:`Burgers' Equation <Burgers' Equation>`. The case presents how to include ``time`` in the sampling domains.
4. :ref:`Allen-Cahn Equation <Allen-Cahn Equation>`. The example introduces the representation of periodic boundary conditions.
``Receiver`` acting as ``callbacks`` are also introduced, including implementing user-defined algorithms and post-processing during the training.
5. :ref:`Inverse wave equation <Inverse Wave Equation>`. The example introduces how to discover unknown parameters in PDEs.
6. :ref:`Parameterized poisson equation <Parameterized Poisson>`. The example introduces how to train a surrogate with parameters.
7. :ref:`Variational Minimization <Variational Minimization>`. The example introduces how to solve variational minimization problems.
8. :ref:`Volterra integral differential equation <Volterra Integral Differential Equation>`. The example introduces the way to solve IDEs.
.. toctree::
:maxdepth: 2
1_simple_poisson
2_euler_beam
3_burgers_equation
4_allen_cahn
5_inverse_wave_equation
6_parameterized_poisson
7_minimal_surface
8_volterra_ide