public void testBackward() throws DerivativeException, IntegratorException {

    TestProblem5 pb = new TestProblem5();
    double minStep = 0;
    double maxStep = pb.getFinalTime() - pb.getInitialTime();
    double scalAbsoluteTolerance = 1.0e-8;
    double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;

    FirstOrderIntegrator integ =
        new GraggBulirschStoerIntegrator(
            minStep, maxStep, scalAbsoluteTolerance, scalRelativeTolerance);
    TestProblemHandler handler = new TestProblemHandler(pb, integ);
    integ.addStepHandler(handler);
    integ.integrate(
        pb,
        pb.getInitialTime(),
        pb.getInitialState(),
        pb.getFinalTime(),
        new double[pb.getDimension()]);

    assertTrue(handler.getLastError() < 9.0e-10);
    assertTrue(handler.getMaximalValueError() < 9.0e-10);
    assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
    assertEquals("Gragg-Bulirsch-Stoer", integ.getName());
  }