diff --git a/jaxparrow/tools/operators.py b/jaxparrow/tools/operators.py
index da2a52a..7b5a851 100644
--- a/jaxparrow/tools/operators.py
+++ b/jaxparrow/tools/operators.py
@@ -3,6 +3,8 @@
 import jax.numpy as jnp
 from jaxtyping import Array, Float
 
+from .sanitize import handle_land_boundary
+
 
 def interpolation(
         field: Float[Array, "lat lon"],
@@ -35,13 +37,17 @@ def interpolation(
         Interpolated field
     """
     if axis == 0:
-        midpoint_values = 0.5 * (field[:-1, :] + field[1:, :])
+        field_b, field_f = field[:-1, :], field[1:, :]
+        field_b, field_f = handle_land_boundary(field_b, field_f)
+        midpoint_values = 0.5 * (field_b + field_f)
         if padding == "left":
             field = field.at[1:, :].set(midpoint_values)
         else:  # padding == "right"
             field = field.at[:-1, :].set(midpoint_values)
     else:  # axis == 1
-        midpoint_values = 0.5 * (field[:, :-1] + field[:, 1:])
+        field_b, field_f = field[:, :-1], field[:, 1:]
+        field_b, field_f = handle_land_boundary(field_b, field_f)
+        midpoint_values = 0.5 * (field_b + field_f)
         if padding == "left":
             field = field.at[:, 1:].set(midpoint_values)
         else:
@@ -83,16 +89,18 @@ def derivative(
         Interpolated field
     """
     if axis == 0:
-        midpoint_values = field[1:, :] - field[:-1, :]
+        field_b, field_f = field[:-1, :], field[1:, :]
         if padding == "left":
             pad_width = ((1, 0), (0, 0))
         else:  # padding == "right"
             pad_width = ((0, 1), (0, 0))
     else:  # axis == 1
-        midpoint_values = field[:, 1:] - field[:, :-1]
+        field_b, field_f = field[:, :-1], field[:, 1:]
         if padding == "left":
             pad_width = ((0, 0), (1, 0))
         else:
             pad_width = ((0, 0), (0, 1))
+    field_b, field_f = handle_land_boundary(field_b, field_f)
+    midpoint_values = field_f - field_b
     field = jnp.pad(midpoint_values, pad_width=pad_width, mode="edge") / dxy
     return field
diff --git a/jaxparrow/tools/sanitize.py b/jaxparrow/tools/sanitize.py
index 72d2f59..d41b11b 100644
--- a/jaxparrow/tools/sanitize.py
+++ b/jaxparrow/tools/sanitize.py
@@ -58,10 +58,39 @@ def init_mask(
         Initialized (if needed) mask
     """
     if mask is None:
-        mask = jnp.isnan(field)
+        mask = jnp.isfinite(field)
     return mask
 
 
+def handle_land_boundary(
+        field1: Float[Array, "lat lon"],
+        field2: Float[Array, "lat lon"]
+) -> [Float[Array, "lat lon"], Float[Array, "lat lon"]]:
+    """
+    Replaces the non-finite values of ``field1`` (``field2``) with values of ``field2`` (``field1``), element-wise.
+
+    It allows to introduce less non-finite values when applying grid operators.
+    In such cases, ``field1`` and ``field2`` are left and right shifted versions of a field.
+
+    Parameters
+    ----------
+    field1 : Float[Array, "lat lon"]
+        A field
+    field2 : Float[Array, "lat lon"]
+        Another field
+
+    Returns
+    -------
+    field1 : Float[Array, "lat lon"]
+        A field whose non-finite values have been replaced with the ones from ``field2``
+    field2 : Float[Array, "lat lon"]
+        A field whose non-finite values have been replaced with the ones from ``field1``
+    """
+    field1 = jnp.where(jnp.isfinite(field1), field1, field2)
+    field2 = jnp.where(jnp.isfinite(field2), field2, field1)
+    return field1, field2
+
+
 def sanitize_grid_np(
         lat: Float[Array, "lat lon"],
         lon: Float[Array, "lat lon"],