diff --git a/include/boost/numeric/odeint/external/eigen/eigen.hpp b/include/boost/numeric/odeint/external/eigen/eigen.hpp
new file mode 100644
index 00000000..620acae5
--- /dev/null
+++ b/include/boost/numeric/odeint/external/eigen/eigen.hpp
@@ -0,0 +1,27 @@
+/*
+  [auto_generated]
+  boost/numeric/odeint/external/eigen/eigen.hpp
+
+  [begin_description]
+  tba.
+  [end_description]
+
+  Copyright 2009-2012 Karsten Ahnert
+  Copyright 2009-2012 Mario Mulansky
+
+  Distributed under the Boost Software License, Version 1.0.
+  (See accompanying file LICENSE_1_0.txt or
+  copy at http://www.boost.org/LICENSE_1_0.txt)
+*/
+
+
+#ifndef BOOST_NUMERIC_ODEINT_EXTERNAL_EIGEN_EIGEN_HPP_INCLUDED
+#define BOOST_NUMERIC_ODEINT_EXTERNAL_EIGEN_EIGEN_HPP_INCLUDED
+
+
+#include <boost/numeric/odeint/external/eigen/eigen_algebra.hpp>
+#include <boost/numeric/odeint/external/eigen/eigen_algebra_dispatcher.hpp>
+#include <boost/numeric/odeint/external/eigen/eigen_resize.hpp>
+
+
+#endif // BOOST_NUMERIC_ODEINT_EXTERNAL_EIGEN_EIGEN_HPP_INCLUDED
diff --git a/include/boost/numeric/odeint/external/eigen/eigen_algebra.hpp b/include/boost/numeric/odeint/external/eigen/eigen_algebra.hpp
index 6ca2026b..b4ee5c3b 100644
--- a/include/boost/numeric/odeint/external/eigen/eigen_algebra.hpp
+++ b/include/boost/numeric/odeint/external/eigen/eigen_algebra.hpp
@@ -71,6 +71,19 @@ operator/(const Eigen::MatrixBase<D1> &x1, const Eigen::MatrixBase<D2> &x2) {
     return x1.cwiseQuotient(x2);
 }
 
+
+template< typename D >
+inline const 
+typename Eigen::CwiseUnaryOp<
+    typename Eigen::internal::scalar_abs_op<
+        typename Eigen::internal::traits< D >::Scalar > ,
+        const D >
+abs( const Eigen::MatrixBase< D > &m ) {
+    return m.cwiseAbs();
+}
+
+
+
 } // end Eigen namespace
 
 
diff --git a/include/boost/numeric/odeint/external/eigen/eigen_algebra_dispatcher.hpp b/include/boost/numeric/odeint/external/eigen/eigen_algebra_dispatcher.hpp
new file mode 100644
index 00000000..6c8a3a27
--- /dev/null
+++ b/include/boost/numeric/odeint/external/eigen/eigen_algebra_dispatcher.hpp
@@ -0,0 +1,49 @@
+/*
+  [auto_generated]
+  boost/numeric/odeint/external/eigen/eigen_algebra_dispatcher.hpp
+
+  [begin_description]
+  tba.
+  [end_description]
+
+  Copyright 2009-2012 Karsten Ahnert
+  Copyright 2009-2012 Mario Mulansky
+
+  Distributed under the Boost Software License, Version 1.0.
+  (See accompanying file LICENSE_1_0.txt or
+  copy at http://www.boost.org/LICENSE_1_0.txt)
+*/
+
+
+#ifndef BOOST_NUMERIC_ODEINT_EXTERNAL_EIGEN_EIGEN_ALGEBRA_DISPATCHER_HPP_INCLUDED
+#define BOOST_NUMERIC_ODEINT_EXTERNAL_EIGEN_EIGEN_ALGEBRA_DISPATCHER_HPP_INCLUDED
+
+
+namespace boost {
+namespace numeric {
+namespace odeint {
+
+
+template< class Derived >
+struct algebra_dispatcher_sfinae< Derived ,
+                      typename boost::enable_if< typename boost::is_base_of< Eigen::MatrixBase< Derived > , Derived >::type >::type >
+{ 
+    typedef vector_space_algebra algebra_type;
+};
+
+
+template < class Derived  >
+struct algebra_dispatcher_sfinae< Derived ,
+                      typename boost::enable_if< typename boost::is_base_of< Eigen::ArrayBase< Derived > , Derived >::type >::type >
+{ 
+    typedef vector_space_algebra algebra_type;
+};
+
+
+
+} // namespace odeint
+} // namespace numeric
+} // namespace boost
+
+
+#endif // BOOST_NUMERIC_ODEINT_EXTERNAL_EIGEN_EIGEN_ALGEBRA_DISPATCHER_HPP_INCLUDED
diff --git a/include/boost/numeric/odeint/integrate/integrate.hpp b/include/boost/numeric/odeint/integrate/integrate.hpp
index c02278a2..913f1ca1 100644
--- a/include/boost/numeric/odeint/integrate/integrate.hpp
+++ b/include/boost/numeric/odeint/integrate/integrate.hpp
@@ -48,7 +48,7 @@ integrate( System system , State &start_state , Time start_time , Time end_time
     return integrate_adaptive( stepper_type() , system , start_state , start_time , end_time , dt , observer );
 }
 
-template< class System , class State , class Time , class Observer , class Value >
+template< class Value , class System , class State , class Time , class Observer >
 size_t 
 integrate( System system , State &start_state , Time start_time , Time end_time , Time dt , Observer observer )
 {
@@ -68,6 +68,13 @@ size_t integrate( System system , State &start_state , Time start_time , Time en
     return integrate( system , start_state , start_time , end_time , dt , null_observer() );
 }
 
+template< class Value , class System , class State , class Time >
+size_t integrate( System system , State &start_state , Time start_time , Time end_time , Time dt )
+{
+    return integrate< Value >( system , start_state , start_time , end_time , dt , null_observer() );
+}
+
+
 
 /**
  * \fn integrate( System system , State &start_state , Time start_time , Time end_time , Time dt , Observer observer )
diff --git a/test/dummy_odes.hpp b/test/dummy_odes.hpp
index 0797b276..7a92363f 100644
--- a/test/dummy_odes.hpp
+++ b/test/dummy_odes.hpp
@@ -55,6 +55,20 @@ struct constant_system_functor_fusion
     }
 };
 
+struct lorenz
+{
+    template< typename State , typename Deriv , typename Time >
+    void operator()( const State& x , Deriv& dxdt , const Time& t ) const
+    {
+        const Time sigma = 10.0;
+        const Time R = 28.0;
+        const Time b = 8.0 / 3.0;
+        dxdt[0] = sigma * ( x[1] - x[0] );
+        dxdt[1] = R * x[0] - x[1] - x[0] * x[2];
+        dxdt[2] = -b * x[2] + x[0] * x[1];
+    }
+};
+
 template< class State , class Deriv , class Time >
 void constant_system_standard( const State &x , Deriv &dxdt , const Time t )
 {
diff --git a/test_external/eigen/Jamfile.v2 b/test_external/eigen/Jamfile.v2
index b508a0ea..489f67ce 100644
--- a/test_external/eigen/Jamfile.v2
+++ b/test_external/eigen/Jamfile.v2
@@ -18,6 +18,7 @@ project
       <library>/boost/test//boost_unit_test_framework
       <define>BOOST_ALL_NO_LIB=1
       <include>$(EIGEN_ROOT)
+      <include>../../test
       <link>static
       # <cxxflags>-D_SCL_SECURE_NO_WARNINGS
     ;
@@ -29,5 +30,7 @@ test-suite "odeint"
     [ run resize.cpp ]
     [ run runge_kutta4.cpp ]
     [ run runge_kutta_dopri5.cpp ]
+    [ run integrate.cpp ]
+    [ compile-fail fail_integrate.cpp ]
     : <testing.launcher>valgrind
     ;
diff --git a/test_external/eigen/fail_integrate.cpp b/test_external/eigen/fail_integrate.cpp
new file mode 100644
index 00000000..4c71b018
--- /dev/null
+++ b/test_external/eigen/fail_integrate.cpp
@@ -0,0 +1,47 @@
+/*
+ [auto_generated]
+ fail_integrate.cpp
+
+ [begin_description]
+ tba.
+ [end_description]
+
+ Copyright 2009-2012 Karsten Ahnert
+ Copyright 2009-2012 Mario Mulansky
+
+ Distributed under the Boost Software License, Version 1.0.
+ (See accompanying file LICENSE_1_0.txt or
+ copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <boost/config.hpp>
+#ifdef BOOST_MSVC
+    #pragma warning(disable:4996)
+#endif
+
+#define BOOST_TEST_MODULE odeint_dummy
+
+#include <boost/numeric/odeint/integrate/integrate.hpp>
+#include <boost/numeric/odeint/external/eigen/eigen.hpp>
+
+#include <boost/test/unit_test.hpp>
+
+#include "dummy_odes.hpp"
+
+using namespace boost::unit_test;
+using namespace boost::numeric::odeint;
+
+
+BOOST_AUTO_TEST_SUITE( eigen_fail_integrate )
+
+BOOST_AUTO_TEST_CASE( test )
+{
+    typedef Eigen::Matrix< double , 1 , 1 > state_type;
+    state_type x;
+    x[0] = 10.0;
+    double t_start = 0.0 , t_end = 1.0 , dt = 0.1;
+    integrate( constant_system_functor_standard() , x , t_start , t_end , dt );
+}
+
+BOOST_AUTO_TEST_SUITE_END()
+
diff --git a/test_external/eigen/integrate.cpp b/test_external/eigen/integrate.cpp
new file mode 100644
index 00000000..c64496a8
--- /dev/null
+++ b/test_external/eigen/integrate.cpp
@@ -0,0 +1,69 @@
+/*
+ [auto_generated]
+ integrate.cpp
+
+ [begin_description]
+ tba.
+ [end_description]
+
+ Copyright 2009-2012 Karsten Ahnert
+ Copyright 2009-2012 Mario Mulansky
+
+ Distributed under the Boost Software License, Version 1.0.
+ (See accompanying file LICENSE_1_0.txt or
+ copy at http://www.boost.org/LICENSE_1_0.txt)
+ */
+
+#include <boost/config.hpp>
+#ifdef BOOST_MSVC
+    #pragma warning(disable:4996)
+#endif
+
+#define BOOST_TEST_MODULE odeint_eigen_integrate
+
+#include <boost/numeric/odeint/integrate/integrate.hpp>
+#include <boost/numeric/odeint/external/eigen/eigen.hpp>
+
+#include <boost/test/unit_test.hpp>
+
+#include "dummy_odes.hpp"
+
+
+using namespace boost::unit_test;
+using namespace boost::numeric::odeint;
+
+
+BOOST_AUTO_TEST_SUITE( eigen_integrate )
+
+BOOST_AUTO_TEST_CASE( test_const_sys )
+{
+    typedef Eigen::Matrix< double , 1 , 1 > state_type;
+    state_type x;
+    x[0] = 10.0;
+    double t_start = 0.0 , t_end = 1.0 , dt = 0.1;
+    integrate< double >( constant_system_functor_standard() , x , t_start , t_end , dt );
+    BOOST_CHECK_CLOSE( x[0] , 11.0 , 1.0e-13 );
+}
+
+BOOST_AUTO_TEST_CASE( test_lorenz )
+{
+    typedef Eigen::Matrix< double , 3 , 1 > state_type;
+    state_type x;
+    x[0] = 10.0;
+    x[1] = 10.0;
+    x[2] = 10.0;
+    double t_start = 0.0 , t_end = 1000.0 , dt = 0.1;
+    integrate< double >( lorenz() , x , t_start , t_end , dt );
+    
+    std::vector< double > x2( 3 );
+    x2[0] = 10.0;
+    x2[1] = 10.0;
+    x2[2] = 10.0;
+    integrate( lorenz() , x2 , t_start , t_end , dt );
+    
+    BOOST_CHECK_CLOSE( x[0] , x2[0] , 1.0e-13 );
+    BOOST_CHECK_CLOSE( x[1] , x2[1] , 1.0e-13 );
+    BOOST_CHECK_CLOSE( x[2] , x2[2] , 1.0e-13 );
+}
+
+BOOST_AUTO_TEST_SUITE_END()