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diff --git a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianYeeAlgorithm.H b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianYeeAlgorithm.H
new file mode 100644
index 000000000..838e3b0bb
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+++ b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianYeeAlgorithm.H
@@ -0,0 +1,122 @@
+/* Copyright 2020 Remi Lehe
+ *
+ * This file is part of WarpX.
+ *
+ * License: BSD-3-Clause-LBNL
+ */
+
+#ifndef WARPX_FINITE_DIFFERENCE_ALGORITHM_CARTESIAN_YEE_H_
+#define WARPX_FINITE_DIFFERENCE_ALGORITHM_CARTESIAN_YEE_H_
+
+#include <AMReX_REAL.H>
+#include <AMReX_Array4.H>
+#include <AMReX_Gpu.H>
+
+struct CartesianYeeAlgorithm {
+
+    static void InitializeStencilCoefficients (
+        std::array<amrex::Real,3>& cell_size,
+        amrex::Gpu::ManagedVector<amrex::Real>& stencil_coefs_x,
+        amrex::Gpu::ManagedVector<amrex::Real>& stencil_coefs_y,
+        amrex::Gpu::ManagedVector<amrex::Real>& stencil_coefs_z ) {
+
+        // Store the inverse cell size along each direction in the coefficients
+        stencil_coefs_x.resize(1);
+        stencil_coefs_x[0] = 1./cell_size[0];
+        stencil_coefs_y.resize(1);
+        stencil_coefs_y[0] = 1./cell_size[1];
+        stencil_coefs_z.resize(1);
+        stencil_coefs_z[0] = 1./cell_size[2];
+    }
+
+    /**
+    /* Perform derivative along x on a cell-centered grid, from a nodal field `F`*/
+    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+    static amrex::Real UpwardDx (
+        amrex::Array4<amrex::Real> const& F,
+        amrex::Real const * const coefs_x, int const n_coefs_x,
+        int const i, int const j, int const k ) {
+
+        amrex::Real const inv_dx = coefs_x[0];
+        return inv_dx*( F(i+1,j,k) - F(i,j,k) );
+    };
+
+    /**
+    /* Perform derivative along x on a nodal grid, from a cell-centered field `F`*/
+    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+    static amrex::Real DownwardDx (
+        amrex::Array4<amrex::Real> const& F,
+        amrex::Real const * const coefs_x, int const n_coefs_x,
+        int const i, int const j, int const k ) {
+
+        amrex::Real const inv_dx = coefs_x[0];
+        return inv_dx*( F(i,j,k) - F(i-1,j,k) );
+    };
+
+    /**
+    /* Perform derivative along y on a cell-centered grid, from a nodal field `F`*/
+    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+    static amrex::Real UpwardDy (
+        amrex::Array4<amrex::Real> const& F,
+        amrex::Real const * const coefs_y, int const n_coefs_y,
+        int const i, int const j, int const k ) {
+
+#if defined WARPX_DIM_3D
+            amrex::Real const inv_dy = coefs_y[0];
+            return inv_dy*( F(i,j+1,k) - F(i,j,k) );
+#elif (defined WARPX_DIM_XZ)
+            return 0; // 2D Cartesian: derivative along y is 0
+#endif
+    };
+
+    /**
+    /* Perform derivative along y on a nodal grid, from a cell-centered field `F`*/
+    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+    static amrex::Real DownwardDy (
+        amrex::Array4<amrex::Real> const& F,
+        amrex::Real const * const coefs_y, int const n_coefs_y,
+        int const i, int const j, int const k ) {
+
+#if defined WARPX_DIM_3D
+            amrex::Real const inv_dy = coefs_y[0];
+            return inv_dy*( F(i,j,k) - F(i,j-1,k) );
+#elif (defined WARPX_DIM_XZ)
+            return 0; // 2D Cartesian: derivative along y is 0
+#endif
+    };
+
+    /**
+    /* Perform derivative along z on a cell-centered grid, from a nodal field `F`*/
+   AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+    static amrex::Real UpwardDz (
+        amrex::Array4<amrex::Real> const& F,
+        amrex::Real const * const coefs_z, int const n_coefs_z,
+        int const i, int const j, int const k ) {
+
+        amrex::Real const inv_dz = coefs_z[0];
+#if defined WARPX_DIM_3D
+            return inv_dz*( F(i,j,k+1) - F(i,j,k) );
+#elif (defined WARPX_DIM_XZ)
+            return inv_dz*( F(i,j+1,k) - F(i,j,k) );
+#endif
+    };
+
+    /**
+    /* Perform derivative along z on a nodal grid, from a cell-centered field `F`*/
+    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
+    static amrex::Real DownwardDz (
+        amrex::Array4<amrex::Real> const& F,
+        amrex::Real const * const coefs_z, int const n_coefs_z,
+        int const i, int const j, int const k ) {
+
+        amrex::Real const inv_dz = coefs_z[0];
+#if defined WARPX_DIM_3D
+            return inv_dz*( F(i,j,k) - F(i,j,k-1) );
+#elif (defined WARPX_DIM_XZ)
+            return inv_dz*( F(i,j,k) - F(i,j-1,k) );
+#endif
+    };
+
+};
+
+#endif // WARPX_FINITE_DIFFERENCE_ALGORITHM_CARTESIAN_YEE_H_