home.md

@@ -7,15 +7,16 @@ Generic name of a function is `wderiv_operation_Nd_t`, where:
   * `dfdy` : $`\frac{\partial f}{\partial y}`$
   * `dfdz` : $`\frac{\partial f}{\partial z}`$
   * `d2fdx2` : $`\frac{\partial^2 f}{\partial x^2}`$
-  * d2fdy2
-  * d2fdz2
-  * dnfdxn
-  * dnfdyn
-  * dnfdzn
-  * gradient
+  * `d2fdy2` : $`\frac{\partial^2 f}{\partial y^2}`$
+  * `d2fdz2` : $`\frac{\partial^2 f}{\partial z^2}`$
+  * `dnfdxn` : $`\frac{\partial^n f}{\partial x^n}`$
+  * `dnfdyn` : $`\frac{\partial^n f}{\partial y^n}`$
+  * `dnfdzn` : $`\frac{\partial^n f}{\partial z^n}`$
+  * `gradient` :  $`(\frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z})`$
   * `gradient2` : $`|\nabla f|^2`$, see [here for computation details](Gradient square)
-  * divergence
-  * ...
+  * `laplace` :  $`\frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} + \frac{\partial^2 f}{\partial z^2}`$
+  * `divergence` :  $`\frac{\partial f}{\partial x} + \frac{\partial f}{\partial y} + \frac{\partial f}{\partial z}`$
+  * `curl` : $`(\frac{\partial f_y}{\partial z} - \frac{\partial f_z}{\partial y},\frac{\partial f_z}{\partial x} - \frac{\partial f_x}{\partial z},\frac{\partial f_x}{\partial y} - \frac{\partial f_y}{\partial x})`$
 * `N`:
   * `1` for 1D problems
   * `2` for 2D problems
@@ -29,7 +30,7 @@ Generic name of a function is `wderiv_operation_Nd_t`, where:
  * Function computes first derivative with respect to x (df/dx)
  * of 3D real function f(x,y,z)   
  * @param f pointer to function, array of size [nx*ny*nz] (INPUT)
- * @param df_dx pointer to function, array of size [nx*ny*nz] (OUTPUT)
+ * @param dfdx pointer to function, array of size [nx*ny*nz] (OUTPUT)
  *                NOTE: dfdx can be the same pointer as f, then result overwrites input 
  * @return error code
  * */