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diff --git a/src/main/java/org/apache/commons/math3/ode/nonstiff/MidpointFieldIntegrator.java b/src/main/java/org/apache/commons/math3/ode/nonstiff/MidpointFieldIntegrator.java
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+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.commons.math3.ode.nonstiff;
+
+import org.apache.commons.math3.Field;
+import org.apache.commons.math3.RealFieldElement;
+import org.apache.commons.math3.ode.FieldEquationsMapper;
+import org.apache.commons.math3.ode.FieldODEStateAndDerivative;
+import org.apache.commons.math3.util.MathArrays;
+
+/**
+ * This class implements a second order Runge-Kutta integrator for
+ * Ordinary Differential Equations.
+ *
+ * <p>This method is an explicit Runge-Kutta method, its Butcher-array
+ * is the following one :
+ * <pre>
+ *    0  |  0    0
+ *   1/2 | 1/2   0
+ *       |----------
+ *       |  0    1
+ * </pre>
+ * </p>
+ *
+ * @see EulerFieldIntegrator
+ * @see ClassicalRungeKuttaFieldIntegrator
+ * @see GillFieldIntegrator
+ * @see ThreeEighthesFieldIntegrator
+ * @see LutherFieldIntegrator
+ *
+ * @param <T> the type of the field elements
+ * @since 3.6
+ */
+
+public class MidpointFieldIntegrator<T extends RealFieldElement<T>> extends RungeKuttaFieldIntegrator<T> {
+
+    /** Simple constructor.
+     * Build a midpoint integrator with the given step.
+     * @param field field to which the time and state vector elements belong
+     * @param step integration step
+     */
+    public MidpointFieldIntegrator(final Field<T> field, final T step) {
+        super(field, "midpoint", step);
+    }
+
+    /** {@inheritDoc} */
+    public T[] getC() {
+        final T[] c = MathArrays.buildArray(getField(), 1);
+        c[0] = getField().getOne().multiply(0.5);
+        return c;
+    }
+
+    /** {@inheritDoc} */
+    public T[][] getA() {
+        final T[][] a = MathArrays.buildArray(getField(), 1, 1);
+        a[0][0] = fraction(1, 2);
+        return a;
+    }
+
+    /** {@inheritDoc} */
+    public T[] getB() {
+        final T[] b = MathArrays.buildArray(getField(), 2);
+        b[0] = getField().getZero();
+        b[1] = getField().getOne();
+        return b;
+    }
+
+    /** {@inheritDoc} */
+    @Override
+    protected MidpointFieldStepInterpolator<T>
+        createInterpolator(final boolean forward, T[][] yDotK,
+                           final FieldODEStateAndDerivative<T> globalPreviousState,
+                           final FieldODEStateAndDerivative<T> globalCurrentState,
+                           final FieldEquationsMapper<T> mapper) {
+        return new MidpointFieldStepInterpolator<T>(getField(), forward, yDotK,
+                                                    globalPreviousState, globalCurrentState,
+                                                    globalPreviousState, globalCurrentState,
+                                                    mapper);
+    }
+
+}