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Documentation for v0.1 version (#199)

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* Adding Equations, solving typos
* improve _code.rst
* the team rst and restuctore index.rst
* fixing errors

---------

Co-authored-by: Dario Coscia <dariocoscia@dhcp-015.eduroam.sissa.it>
This commit is contained in:
Dario Coscia
2023-11-08 14:39:00 +01:00
committed by Nicola Demo
parent 3f9305d475
commit 8b7b61b3bd
144 changed files with 2741 additions and 1766 deletions
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18
pina/problem/parametric_problem.py
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@@ -16,14 +16,17 @@ class ParametricProblem(AbstractProblem):
:Example:
>>> from pina.problem import SpatialProblem, ParametricProblem
>>> from pina.operators import grad
>>> from pina import Condition, Span
>>> from pina.equations import Equation, FixedValue
>>> from pina import Condition
>>> from pina.geometry import CartesianDomain
>>> import torch
>>>
>>>
>>> class ParametricODE(SpatialProblem, ParametricProblem):
>>>
>>> output_variables = ['u']
>>> spatial_domain = Span({'x': [0, 1]})
>>> parameter_domain = Span({'alpha': [1, 10]})
>>> spatial_domain = CartesianDomain({'x': [0, 1]})
>>> parameter_domain = CartesianDomain({'alpha': [1, 10]})
>>>
>>> def ode_equation(input_, output_):
>>> u_x = grad(output_, input_, components=['u'], d=['x'])
@@ -31,14 +34,9 @@ class ParametricProblem(AbstractProblem):
>>> alpha = input_.extract(['alpha'])
>>> return alpha * u_x - u
>>>
>>> def initial_condition(input_, output_):
>>> value = 1.0
>>> u = output_.extract(['u'])
>>> return u - value
>>>
>>> conditions = {
>>> 'x0': Condition(Span({'x': 0, 'alpha':[1, 10]}), initial_condition),
>>> 'D': Condition(Span({'x': [0, 1], 'alpha':[1, 10]}), ode_equation)}
>>> 'x0': Condition(CartesianDomain({'x': 0, 'alpha':[1, 10]}), FixedValue(1.)),
>>> 'D': Condition(CartesianDomain({'x': [0, 1], 'alpha':[1, 10]}), Equation(ode_equation))}
"""
@abstractmethod