diff --git a/pystencils/stencil.py b/pystencils/stencil.py
index 359a0a29492c537957b8e24a952fa7e052ee898f..28d179c50d2716e4aa1530b2409abb77e6b10e66 100644
--- a/pystencils/stencil.py
+++ b/pystencils/stencil.py
@@ -34,6 +34,8 @@ def is_valid(stencil, max_neighborhood=None):
         True
         >>> is_valid([(2, 0), (1, 0)], max_neighborhood=1)
         False
+        >>> is_valid([(2, 0), (1, 0)], max_neighborhood=2)
+        True
     """
     expected_dim = len(stencil[0])
     for d in stencil:
@@ -67,8 +69,11 @@ def have_same_entries(s1, s2):
     Examples:
         >>> stencil1 = [(1, 0), (-1, 0), (0, 1), (0, -1)]
         >>> stencil2 = [(-1, 0), (0, -1), (1, 0), (0, 1)]
+        >>> stencil3 = [(-1, 0), (0, -1), (1, 0)]
         >>> have_same_entries(stencil1, stencil2)
         True
+        >>> have_same_entries(stencil1, stencil3)
+        False
     """
     if len(s1) != len(s2):
         return False
diff --git a/pystencils_tests/test_staggered_kernel.py b/pystencils_tests/test_staggered_kernel.py
index c4f491393d2b4d08fbb9b4c99356abdc7e7199b6..eecbf706c5538ad544d29a6b37366944aa504680 100644
--- a/pystencils_tests/test_staggered_kernel.py
+++ b/pystencils_tests/test_staggered_kernel.py
@@ -4,6 +4,7 @@ import sympy as sp
 import pytest
 
 import pystencils as ps
+from pystencils import x_staggered_vector, TypedSymbol
 
 
 class TestStaggeredDiffusion:
@@ -96,3 +97,12 @@ def test_staggered_loop_cutting():
     assignments = [ps.Assignment(j.staggered_access("SW"), 1)]
     ast = ps.create_staggered_kernel(assignments, target=dh.default_target)
     assert not ast.atoms(ps.astnodes.Conditional)
+
+
+def test_staggered_vector():
+    dim = 2
+    v = x_staggered_vector(dim)
+    ctr0 = TypedSymbol('ctr_0', 'int', nonnegative=True)
+    ctr1 = TypedSymbol('ctr_1', 'int', nonnegative=True)
+    expected_result = sp.Matrix(tuple((ctr0 + 0.5, ctr1 + 0.5)))
+    assert v == expected_result
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diff --git a/pystencils_tests/test_stencils.py b/pystencils_tests/test_stencils.py
index bf1418e053d41ebeb80b6ae623f1834b24a8a713..fa205ad7f04a446e1e16d5ea95e679cea70ecde4 100644
--- a/pystencils_tests/test_stencils.py
+++ b/pystencils_tests/test_stencils.py
@@ -1 +1,30 @@
 import pystencils as ps
+import sympy as sp
+
+from pystencils.stencil import coefficient_list, plot_expression
+
+
+def test_coefficient_list():
+    f = ps.fields("f: double[1D]")
+    expr = 2 * f[1] + 3 * f[-1]
+    coff = coefficient_list(expr)
+    assert coff == [3, 0, 2]
+    plot_expression(expr, matrix_form=True)
+
+    f = ps.fields("f: double[3D]")
+    expr = 2 * f[1, 0, 0] + 3 * f[0, -1, 0]
+    coff = coefficient_list(expr)
+    assert coff == [[[0, 3, 0], [0, 0, 2], [0, 0, 0]]]
+
+    expr = 2 * f[1, 0, 0] + 3 * f[0, -1, 0] + 4 * f[0, 0, 1]
+    coff = coefficient_list(expr, matrix_form=True)
+    assert coff[0] == sp.zeros(3, 3)
+
+    # in 3D plot only works if there are entries on every of the three 2D planes. In the above examples z-1 was empty
+    expr = 2 * f[1, 0, 0] + 1 * f[0, -1, 0] + 1 * f[0, 0, 1] + f[0, 0, -1]
+    plot_expression(expr)
+
+
+def test_plot_expression():
+    f = ps.fields("f: double[2D]")
+    plot_expression(2 * f[1, 0] + 3 * f[0, -1], matrix_form=True)
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