Tutorial3 and 1 fix (#67)

docs/source/_rst/tutorial1/tutorial.rst

@@ -82,12 +82,11 @@ time domain where we want the solution.
 Summarizing, in PINA we can initialize a problem with a class which is
 inherited from three base classes: ``SpatialProblem``,
 ``TimeDependentProblem``, ``ParametricProblem``, depending on the type
-of problem we are considering. For reference: \* ``SpatialProblem``
-:math:`\rightarrow` spatial variable(s) presented in the differential
-equation \* ``TimeDependentProblem`` :math:`\rightarrow` time
-variable(s) presented in the differential equation \*
-``ParametricProblem`` :math:`\rightarrow` parameter(s) presented in the
-differential equation
+of problem we are considering. For reference:
+
+* ``SpatialProblem`` :math:`\rightarrow` spatial variable(s) presented in the differential equation 
+* ``TimeDependentProblem`` :math:`\rightarrow` time variable(s) presented in the differential equation 
+* ``ParametricProblem`` :math:`\rightarrow` parameter(s) presented in the differential equation
 
 Write the problem class
 ~~~~~~~~~~~~~~~~~~~~~~~

docs/source/_rst/tutorial3/tutorial.rst

@@ -13,7 +13,7 @@ The problem is written in the following form:
 :raw-latex:`\begin{equation}
 \begin{cases}
 \Delta u(x,y,t) = \frac{\partial^2}{\partial t^2} u(x,y,t) \quad \text{in } D, \\\\
-u(x, y, t=0) = \sin(\pi x)\sin(\pi y)\cos(\sqrt{2}\pi), \\\\
+u(x, y, t=0) = \sin(\pi x)\sin(\pi y), \\\\
 u(x, y, t) = 0 \quad \text{on } \Gamma_1 \cup \Gamma_2 \cup \Gamma_3 \cup \Gamma_4,
 \end{cases}
 \end{equation}`

tutorials/tutorial3/tutorial.ipynb

@@ -24,7 +24,7 @@
     "\\begin{equation}\n",
     "\\begin{cases}\n",
     "\\Delta u(x,y,t) = \\frac{\\partial^2}{\\partial t^2} u(x,y,t) \\quad \\text{in } D, \\\\\\\\\n",
-    "u(x, y, t=0) = \\sin(\\pi x)\\sin(\\pi y)\\cos(\\sqrt{2}\\pi), \\\\\\\\\n",
+    "u(x, y, t=0) = \\sin(\\pi x)\\sin(\\pi y), \\\\\\\\\n",
     "u(x, y, t) = 0 \\quad \\text{on } \\Gamma_1 \\cup \\Gamma_2 \\cup \\Gamma_3 \\cup \\Gamma_4,\n",
     "\\end{cases}\n",
     "\\end{equation}\n",

tutorials/tutorial3/tutorial.py

@@ -12,7 +12,7 @@
 # \begin{equation}
 # \begin{cases}
 # \Delta u(x,y,t) = \frac{\partial^2}{\partial t^2} u(x,y,t) \quad \text{in } D, \\\\
-# u(x, y, t=0) = \sin(\pi x)\sin(\pi y)\cos(\sqrt{2}\pi), \\\\
+# u(x, y, t=0) = \sin(\pi x)\sin(\pi y), \\\\
 # u(x, y, t) = 0 \quad \text{on } \Gamma_1 \cup \Gamma_2 \cup \Gamma_3 \cup \Gamma_4,
 # \end{cases}
 # \end{equation}