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diff --git a/Source/FieldSolver/SpectralSolver/SpectralAlgorithms/PsatdAlgorithmGalileanRZ.H b/Source/FieldSolver/SpectralSolver/SpectralAlgorithms/PsatdAlgorithmGalileanRZ.H
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index 000000000..cee84f99d
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+++ b/Source/FieldSolver/SpectralSolver/SpectralAlgorithms/PsatdAlgorithmGalileanRZ.H
@@ -0,0 +1,78 @@
+/* Copyright 2019 David Grote
+ *
+ * This file is part of WarpX.
+ *
+ * License: BSD-3-Clause-LBNL
+ */
+#ifndef WARPX_PSATD_ALGORITHM_GALILEAN_RZ_H_
+#define WARPX_PSATD_ALGORITHM_GALILEAN_RZ_H_
+
+#include "SpectralBaseAlgorithmRZ.H"
+
+/* \brief Class that updates the field in spectral space
+ * and stores the coefficients of the corresponding update equation.
+ */
+class PsatdAlgorithmGalileanRZ : public SpectralBaseAlgorithmRZ
+{
+
+    public:
+        PsatdAlgorithmGalileanRZ (SpectralKSpaceRZ const & spectral_kspace,
+                                  amrex::DistributionMapping const & dm,
+                                  const SpectralFieldIndex& spectral_index,
+                                  int const n_rz_azimuthal_modes, int const norder_z,
+                                  bool const nodal,
+                                  const amrex::Vector<amrex::Real>& v_galilean,
+                                  amrex::Real const dt_step,
+                                  bool const update_with_rho);
+        // Redefine functions from base class
+        virtual void pushSpectralFields (SpectralFieldDataRZ & f) override final;
+
+        void InitializeSpectralCoefficients (SpectralFieldDataRZ const & f);
+
+        /**
+         * \brief Virtual function for current correction in Fourier space
+         * This function overrides the virtual function \c CurrentCorrection in the
+         * base class \c SpectralBaseAlgorithmRZ (qualifier \c override) and cannot be
+         * overridden by further derived classes (qualifier \c final).
+         *
+         * \param[in]     lev        mesh-refinement level
+         * \param[in,out] field_data all fields in Fourier space
+         * \param[in,out] current    two-dimensional array of unique pointers to MultiFab
+         *                           storing the three components of the current density
+         * \param[in]     rho        unique pointer to MultiFab storing the charge density
+         */
+        virtual void CurrentCorrection ( const int lev,
+                                         SpectralFieldDataRZ& field_data,
+                                         std::array<std::unique_ptr<amrex::MultiFab>,3>& current,
+                                         const std::unique_ptr<amrex::MultiFab>& rho ) override final;
+
+        /**
+         * \brief Virtual function for Vay current deposition in Fourier space
+         * This function overrides the virtual function \c VayDeposition in the
+         * base class \c SpectralBaseAlgorithmRZ and cannot be overridden by further
+         * derived classes.
+         *
+         * \param[in]     lev        mesh-refinement level
+         * \param[in,out] field_data All fields in Fourier space
+         * \param[in,out] current    Array of unique pointers to \c MultiFab storing
+         *                           the three components of the current density
+         */
+        virtual void VayDeposition (const int lev, SpectralFieldDataRZ& field_data,
+                                    std::array<std::unique_ptr<amrex::MultiFab>,3>& current) override final;
+
+    private:
+
+        SpectralFieldIndex m_spectral_index;
+
+        bool coefficients_initialized;
+        // Note that dt and v_galilean are saved to use in InitializeSpectralCoefficients
+        amrex::Real const m_dt;
+        amrex::Vector<amrex::Real> m_v_galilean;
+        bool m_update_with_rho;
+
+        SpectralRealCoefficients C_coef, S_ck_coef;
+        SpectralComplexCoefficients Theta2_coef, T_rho_coef, X1_coef, X2_coef, X3_coef, X4_coef;
+
+};
+
+#endif // WARPX_PSATD_ALGORITHM_GALILEAN_RZ_H_