diff --git a/src/test/org/apache/commons/math/ode/ClassicalRungeKuttaIntegratorTest.java b/src/test/org/apache/commons/math/ode/ClassicalRungeKuttaIntegratorTest.java
index 8a7840c1d..8c6ef7913 100644
--- a/src/test/org/apache/commons/math/ode/ClassicalRungeKuttaIntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/ClassicalRungeKuttaIntegratorTest.java
@@ -116,7 +116,7 @@ public class ClassicalRungeKuttaIntegratorTest
 
     assertTrue(handler.getLastError() < 2.0e-13);
     assertTrue(handler.getMaximalError() < 4.0e-12);
-
+    assertEquals("classical Runge-Kutta", integ.getName());
   }
 
   public void testBigStep()
diff --git a/src/test/org/apache/commons/math/ode/DormandPrince54IntegratorTest.java b/src/test/org/apache/commons/math/ode/DormandPrince54IntegratorTest.java
index 6498698f9..063395fc3 100644
--- a/src/test/org/apache/commons/math/ode/DormandPrince54IntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/DormandPrince54IntegratorTest.java
@@ -97,6 +97,7 @@ public class DormandPrince54IntegratorTest
                     pb.getInitialTime(), pb.getInitialState(),
                     pb.getFinalTime(), new double[pb.getDimension()]);
     assertTrue(handler.wasLastSeen());
+    assertEquals("Dormand-Prince 5(4)", integ.getName());
 
   }
 
diff --git a/src/test/org/apache/commons/math/ode/DormandPrince853IntegratorTest.java b/src/test/org/apache/commons/math/ode/DormandPrince853IntegratorTest.java
index 5198c2901..ff26ca008 100644
--- a/src/test/org/apache/commons/math/ode/DormandPrince853IntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/DormandPrince853IntegratorTest.java
@@ -189,6 +189,7 @@ public class DormandPrince853IntegratorTest
     integ.integrate(pb,
                     pb.getInitialTime(), pb.getInitialState(),
                     pb.getFinalTime(), new double[pb.getDimension()]);
+    assertEquals("Dormand-Prince 8 (5, 3)", integ.getName());
   }
 
   public void testNoDenseOutput()
diff --git a/src/test/org/apache/commons/math/ode/EulerIntegratorTest.java b/src/test/org/apache/commons/math/ode/EulerIntegratorTest.java
index 4fb36220d..9840f7282 100644
--- a/src/test/org/apache/commons/math/ode/EulerIntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/EulerIntegratorTest.java
@@ -97,6 +97,7 @@ public class EulerIntegratorTest
 
    assertTrue(handler.getLastError() < 2.0e-4);
    assertTrue(handler.getMaximalError() < 1.0e-3);
+   assertEquals("Euler", integ.getName());
 
   }
 
diff --git a/src/test/org/apache/commons/math/ode/GillIntegratorTest.java b/src/test/org/apache/commons/math/ode/GillIntegratorTest.java
index 7053126bf..376ebce80 100644
--- a/src/test/org/apache/commons/math/ode/GillIntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/GillIntegratorTest.java
@@ -96,6 +96,7 @@ public class GillIntegratorTest
 
     assertTrue(handler.getLastError() < 2.0e-13);
     assertTrue(handler.getMaximalError() < 4.0e-12);
+    assertEquals("Gill", integ.getName());
 
   }
 
diff --git a/src/test/org/apache/commons/math/ode/GraggBulirschStoerIntegratorTest.java b/src/test/org/apache/commons/math/ode/GraggBulirschStoerIntegratorTest.java
index fca8f2050..34f1c91eb 100644
--- a/src/test/org/apache/commons/math/ode/GraggBulirschStoerIntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/GraggBulirschStoerIntegratorTest.java
@@ -189,6 +189,7 @@ public class GraggBulirschStoerIntegratorTest
     integ.integrate(pb,
                     pb.getInitialTime(), pb.getInitialState(),
                     pb.getFinalTime(), new double[pb.getDimension()]);
+    assertEquals("Gragg-Bulirsch-Stoer", integ.getName());
   }
 
   public void testUnstableDerivative()
diff --git a/src/test/org/apache/commons/math/ode/HighamHall54IntegratorTest.java b/src/test/org/apache/commons/math/ode/HighamHall54IntegratorTest.java
index ddb9a7b0f..f54df0911 100644
--- a/src/test/org/apache/commons/math/ode/HighamHall54IntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/HighamHall54IntegratorTest.java
@@ -236,6 +236,7 @@ public class HighamHall54IntegratorTest
     integ.integrate(pb,
                     pb.getInitialTime(), pb.getInitialState(),
                     pb.getFinalTime(), new double[pb.getDimension()]);
+    assertEquals("Higham-Hall 5(4)", integ.getName());
   }
 
   private static class KeplerHandler implements StepHandler {
diff --git a/src/test/org/apache/commons/math/ode/MidpointIntegratorTest.java b/src/test/org/apache/commons/math/ode/MidpointIntegratorTest.java
index becb39bf7..119997c22 100644
--- a/src/test/org/apache/commons/math/ode/MidpointIntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/MidpointIntegratorTest.java
@@ -95,6 +95,7 @@ public class MidpointIntegratorTest
 
     assertTrue(handler.getLastError() < 2.0e-7);
     assertTrue(handler.getMaximalError() < 1.0e-6);
+    assertEquals("midpoint", integ.getName());
 
   }
 
diff --git a/src/test/org/apache/commons/math/ode/ThreeEighthesIntegratorTest.java b/src/test/org/apache/commons/math/ode/ThreeEighthesIntegratorTest.java
index 305bb3449..d417e8c2c 100644
--- a/src/test/org/apache/commons/math/ode/ThreeEighthesIntegratorTest.java
+++ b/src/test/org/apache/commons/math/ode/ThreeEighthesIntegratorTest.java
@@ -96,6 +96,7 @@ public class ThreeEighthesIntegratorTest
 
     assertTrue(handler.getLastError() < 2.0e-13);
     assertTrue(handler.getMaximalError() < 4.0e-12);
+    assertEquals("3/8", integ.getName());
 
   }