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diff --git a/ODElibrary/AbstractSolver.h b/ODElibrary/AbstractSolver.h
index 9e5f8e6..f74a0ef 100644
--- a/ODElibrary/AbstractSolver.h
+++ b/ODElibrary/AbstractSolver.h
@@ -1,53 +1,53 @@
 //
 // Created by lionel on 25.11.19.
 //
 
 #ifndef ODELIBRARY_ABSTRACTSOLVER_H
 #define ODELIBRARY_ABSTRACTSOLVER_H
 
 
 #include <vector>
 #include "LinearCoefficients.h"
 #include <Eigen/Dense>
 
 
 /** This is an abstract class for the solver of differential equations
  *
  */
 class AbstractSolver {
 protected:
     // variables for the setting
     double stepSize;
     double initialTime;
     double finalTime;
     int dimension; // dimension of x
     int nSteps;
     Eigen::VectorXd initialValue;
 
     // variables for the rhs of the equation
     Eigen::MatrixXd A;
     Eigen::VectorXd (*g)(double t); // function g depending on time
 
 public:
     AbstractSolver();
     virtual ~AbstractSolver();
 
     void setInitialTime(double t0);
     void setFinalTime(double tf);
     void setStepSize(double h);
     void setNumberOfSteps(int n);
     void setSpaceDimension(int dim);
     void setRightHandSide(Eigen::MatrixXd & rhsMatrix, Eigen::VectorXd (*g_)(double t));
 
     double getInitialTime() const;
     double getFinalTime() const;
     double getStepSize() const;
     int getSpaceDimension() const;
 
 
-    virtual void solve() = 0;
+    virtual void solve(std::ostream &stream) = 0;
 
 };
 
 
 #endif //ODELIBRARY_ABSTRACTSOLVER_H
diff --git a/ODElibrary/AdamsBashforth.cpp b/ODElibrary/AdamsBashforth.cpp
index 05af25c..3751e9e 100644
--- a/ODElibrary/AdamsBashforth.cpp
+++ b/ODElibrary/AdamsBashforth.cpp
@@ -1,30 +1,41 @@
 #include "AdamsBashforth.h"
 //#include "MultistepAbstractSolver.h"
 
 AdamsBashforth::AdamsBashforth(double t0,double tf,int n,int steps,Eigen::VectorXd& y0):MultistepAbstractSolver(t0,tf,n,steps,y0){
     /**\brief
      * According to the number of steps n desired, the coefficients defining the algorithm are stored in bCoefficients.
      */
 
     switch(steps){
         ///When steps=1, Adams Bashforth multistep algorithm actually coincides with Forward Euler.
         case 1:
             bCoefficients[0]=1;
             break;
         case 2:
             bCoefficients[0]=1.5,bCoefficients[1]=-0.5;
             break;
         case 3:
-            bCoefficients[0]=(double)23/12,bCoefficients[1]=-(double)16/12,bCoefficients[2]=(double)5/12;
+            bCoefficients[0]=(double)23./12.,bCoefficients[1]=-(double)16./12.,bCoefficients[2]=(double)5/12;
             break;
         case 4:
-            bCoefficients[0]=(double)55/24,bCoefficients[1]=-(double)59/24,bCoefficients[2]=(double)37/24,bCoefficients[3]=-(double)9/24;
+            bCoefficients[0]=(double)55./24.,bCoefficients[1]=-(double)59./24.,bCoefficients[2]=(double)37/24,bCoefficients[3]=-(double)9/24;
             break;
         default:
             std::cerr<<"The number of steps has to be an integer between 1 and 4."<<"\n";
     }
     /**\brief
      * The missing intial values are computed, with a suitable one step algorithm.
      */
     computeMissingInitialValues(steps-1);
 }
+
+void AdamsBashforth::solve(std::ostream &stream){
+    double tNext=initialTime+stepSize*stepsAlgo;
+    for (int step=0;step<nSteps-stepsAlgo;step++) {
+        auto yNext = (*yPreviousSteps.end()); //+stepSize*...
+        Eigen::VectorXd rhsNext = A * (*yNext)+g(tNext);//+g();
+        rhsPreviousSteps.push_back(&rhsNext);
+        rhsPreviousSteps.erase(rhsPreviousSteps.begin());
+        tNext+=stepSize;
+    }
+}
diff --git a/ODElibrary/AdamsBashforth.h b/ODElibrary/AdamsBashforth.h
index f9730c0..56f8aa1 100644
--- a/ODElibrary/AdamsBashforth.h
+++ b/ODElibrary/AdamsBashforth.h
@@ -1,19 +1,20 @@
 #ifndef ODELIBRARY_ADAMSBASHFORTH_H
 #define ODELIBRARY_ADAMSBASHFORTH_H
 
 
 #include <iostream>
 #include <Eigen/Dense>
 #include <list>
 #include <vector>
 #include "MultistepAbstractSolver.h"
 
 class AdamsBashforth:public MultistepAbstractSolver{
 public:
     AdamsBashforth(double t0,double tf,int n,int steps,Eigen::VectorXd& y0);
 
+    void solve(std::ostream &stream) override;
 };
 
 
 
 #endif
\ No newline at end of file
diff --git a/ODElibrary/MultistepAbstractSolver.cpp b/ODElibrary/MultistepAbstractSolver.cpp
index c69bab9..1209f94 100644
--- a/ODElibrary/MultistepAbstractSolver.cpp
+++ b/ODElibrary/MultistepAbstractSolver.cpp
@@ -1,54 +1,68 @@
 #include "MultistepAbstractSolver.h"
 
 MultistepAbstractSolver::MultistepAbstractSolver(double t0,double tf,int n,int steps,Eigen::VectorXd& y0) {
     initialTime = t0;
     finalTime = tf;
     nSteps = n;
+    stepSize = (tf - t0) / n;
+    stepsAlgo=steps;
     Eigen::VectorXd v(steps);
     bCoefficients = v;
     initialValue = y0;
-    stepSize = (tf - t0) / n;
     yPreviousSteps.push_back(&y0); ///is it right? ask.
 };
 
 void MultistepAbstractSolver::computeMissingInitialValues(int orderRK){
     /**
      * This vector stores the coefficients needed by RK to compute the next value of y, yNext.
      * Such value is computed as yNext=yPrev+stepSize*(aCoeff[0]*k1+aCoeff[1]*k2+...), where
      * the ks correspond to evaluations of the rhs at some points of the interval (tPrev,tNext).
      * These points are some additional parameters of the Runge-Kutta method, chosen in order to guarantee
      * the desired convergence order.
      * In order to make the remaining part of the code more compact, the vector aCoeff is always created with length 3,
      * as if needed for the highest order R-K method allowed by the code. Lower order R-K methods may require fewer entries.
      * As a consequence, some of the entries are equal to zero for lower order methods. This procedure implies
      * a few unneeded computations but allows a more compact and easily extendable.
      */
     Eigen::Vector3d aCoeff;
     switch(orderRK){
         case 1:
             aCoeff[0]=1, aCoeff[1]=0, aCoeff[2]=0;
             break;
         case 2:
             aCoeff[0]=0.5, aCoeff[1]=0.5, aCoeff[2]=0;
             break;
         case 3:
             aCoeff[0]=(double)1/6, aCoeff[1]=(double)4/6, aCoeff[2]=(double)1/6;
             break;
         default:
             std::cerr<<"Order orderRK required too high. Try using a multistep method with fewer steps."<<"\n";
     }
     auto yPrev=initialValue;
-    double tPrev=initialTime;
+    auto tPrev=initialTime;
+    /**
+     * \brief A pointer to the value of the rhs function at initialTime is stored in rhsPreviousSteps.
+     */
+    Eigen::VectorXd rhsStart=A*initialValue+g(initialTime);
+    rhsPreviousSteps.push_back(&rhsStart);
+    /**
+     * \brief Vectors k2, k3 define the updates of the higher order R-K methods.
+     */
     Eigen::VectorXd k2(dimension),k3(dimension);
     k2.setZero(), k3.setZero();
     for (int i=0;i<orderRK;i++){
         auto k1=A*yPrev+g(tPrev);
         if(orderRK>1)
-            auto k2=A*(yPrev+0.5*stepSize*k1)+g(tPrev+0.5*stepSize); /// With this choice, the order two method corresponds to Euler's modified method.
+            auto k2=A*(yPrev+0.5*stepSize*k1)+g(tPrev+0.5*stepSize); // With this choice, the order two method corresponds to Euler's modified method.
         if(orderRK>2)
-            auto k3=A*(yPrev+stepSize*(-1*k1+2*k2))+g(tPrev+stepSize);/// This choice for k3 allows us to "recycle" k1, k2, obtaining a 3rd oredr RK.
-        Eigen::VectorXd yNext=yPrev+stepSize*(aCoeff[0]*k1+aCoeff[1]*k2+aCoeff[2]*k3);  ///why 'auto' does not work? ->check if it is right
-        yPreviousSteps.push_back(&yNext);
+            auto k3=A*(yPrev+stepSize*(-1*k1+2*k2))+g(tPrev+stepSize);// This choice for k3 allows us to "recycle" k1, k2, obtaining a 3rd oredr RK.
+        Eigen::VectorXd yNext=yPrev+stepSize*(aCoeff[0]*k1+aCoeff[1]*k2+aCoeff[2]*k3);  // why 'auto' does not work? ->check if it is right
+        /**
+         * \brief The value of the rhs function at tNext=tPrev+stepSize is stored in rhsPreviousSteps.
+         */
+        Eigen::VectorXd rhsNext=A*yNext+g(tPrev+stepSize);
+        rhsPreviousSteps.push_back(&rhsNext);
+        //yPreviousSteps.push_back(&yNext);
         tPrev+=stepSize;
     }
 }
\ No newline at end of file
diff --git a/ODElibrary/MultistepAbstractSolver.h b/ODElibrary/MultistepAbstractSolver.h
index b27731c..7d1c477 100644
--- a/ODElibrary/MultistepAbstractSolver.h
+++ b/ODElibrary/MultistepAbstractSolver.h
@@ -1,62 +1,71 @@
 
 /**
  * This abstract class is daughter of the AbstractSolver class.
  * It is  designed to be the mother class to its daughter classes AdamsBashforth, AdamsMoulton, BDF.
  * These classes will not be abstract and are the one that will be instanciated to solve ODE systems.
  */
 
 
 
 #ifndef ODELIBRARY_MULTISTEPABSTRACTSOLVER_H
 #define ODELIBRARY_MULTISTEPABSTRACTSOLVER_H
 
 #include <iostream>
 #include <Eigen/Dense>
 #include <list>
 #include <vector>
 #include "AbstractSolver.h"
 
 
 class MultistepAbstractSolver:public AbstractSolver{
 protected:
+    /**
+     * This variable refers to the number of steps that characterizes the multistep algorithm.
+     */
+    int stepsAlgo;
     /**
      * bCoefficients stores the coefficients that determine the multistep algorithm. The coefficients depend on the
      * specific method chosen to solve the equation.
      */
     Eigen::VectorXd bCoefficients;
     /**
-     * This vector stores only the values of y needed to perform the next integration step.
+     * This vector stores pointers to the values of y needed to perform the next integration step.
      * The size of this vector depends on the number of steps that characterizes the multistep algorithm.
      */
     std::vector<Eigen::VectorXd*> yPreviousSteps;
+    /**
+     * This vector stores pointers to the values of the rhs function needed to perform the next integration step.
+     * Its size depends on the number of steps of the algorithm.
+     */
+     std::vector<Eigen::VectorXd*> rhsPreviousSteps;
     /**
      * This vector stores the values of the vectorial function g(t) needed to perform the next integration step.
      * The size depends on the number of steps that characterizes the multistep algorithm.
      */
     std::vector<Eigen::VectorXd*> gPreviousSteps;
 
 public:
     MultistepAbstractSolver(double t0,double tf,int n,int steps,Eigen::VectorXd& y0);
 
     /**
      * A multistep method of n steps needs n initial values to start its iterative process. Since only one initial value is usually
      * provided, i.e. the initial value corresponding to t=t0, the other missing values need to be computed. Such task
      * can be performed applying a one step method with convergence rate equal to the convergence rate of the multistep method minus 1.
      * By doing so, the numerical solution to the ODE system provided by the algorithm is guaranteed to converge to the true solution
      * with the convergence rate characterising the multistep method. In the context of this project, a suitable Runge-Kutta method is used.
      * @param orderRK: order of the RK method to be applied to compute missing initial values.
      */
     void computeMissingInitialValues(int orderRK);
 
-    virtual void solve() = 0;
+    virtual void solve(std::ostream &stream) = 0;
 
 };
 
 
 
 
 
 
 
 
 #endif
\ No newline at end of file
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 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/Dense
 Core
 /usr/local/include/eigen3/Eigen/Core
 LU
 /usr/local/include/eigen3/Eigen/LU
 Cholesky
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 QR
 /usr/local/include/eigen3/Eigen/QR
 SVD
 /usr/local/include/eigen3/Eigen/SVD
 Geometry
 /usr/local/include/eigen3/Eigen/Geometry
 Eigenvalues
 /usr/local/include/eigen3/Eigen/Eigenvalues
 
 /usr/local/include/eigen3/Eigen/Eigenvalues
 Core
 /usr/local/include/eigen3/Eigen/Core
 src/Core/util/DisableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
 Cholesky
 /usr/local/include/eigen3/Eigen/Cholesky
 Jacobi
 /usr/local/include/eigen3/Eigen/Jacobi
 Householder
 /usr/local/include/eigen3/Eigen/Householder
 LU
 /usr/local/include/eigen3/Eigen/LU
 Geometry
 /usr/local/include/eigen3/Eigen/Geometry
 src/misc/RealSvd2x2.h
 /usr/local/include/eigen3/Eigen/src/misc/RealSvd2x2.h
 src/Eigenvalues/Tridiagonalization.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/Tridiagonalization.h
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 /usr/local/include/eigen3/Eigen/src/Eigenvalues/RealSchur.h
 src/Eigenvalues/EigenSolver.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/EigenSolver.h
 src/Eigenvalues/SelfAdjointEigenSolver.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h
 src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h
 src/Eigenvalues/HessenbergDecomposition.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/HessenbergDecomposition.h
 src/Eigenvalues/ComplexSchur.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/ComplexSchur.h
 src/Eigenvalues/ComplexEigenSolver.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/ComplexEigenSolver.h
 src/Eigenvalues/RealQZ.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/RealQZ.h
 src/Eigenvalues/GeneralizedEigenSolver.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/GeneralizedEigenSolver.h
 src/Eigenvalues/MatrixBaseEigenvalues.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/MatrixBaseEigenvalues.h
 src/misc/lapacke.h
 /usr/local/include/eigen3/Eigen/src/misc/lapacke.h
 src/Eigenvalues/RealSchur_LAPACKE.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/RealSchur_LAPACKE.h
 src/Eigenvalues/ComplexSchur_LAPACKE.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/ComplexSchur_LAPACKE.h
 src/Eigenvalues/SelfAdjointEigenSolver_LAPACKE.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/SelfAdjointEigenSolver_LAPACKE.h
 src/Core/util/ReenableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/Geometry
 Core
 /usr/local/include/eigen3/Eigen/Core
 src/Core/util/DisableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
 SVD
 /usr/local/include/eigen3/Eigen/SVD
 LU
 /usr/local/include/eigen3/Eigen/LU
 limits
 -
 src/Geometry/OrthoMethods.h
 /usr/local/include/eigen3/Eigen/src/Geometry/OrthoMethods.h
 src/Geometry/EulerAngles.h
 /usr/local/include/eigen3/Eigen/src/Geometry/EulerAngles.h
 src/Geometry/Homogeneous.h
 /usr/local/include/eigen3/Eigen/src/Geometry/Homogeneous.h
 src/Geometry/RotationBase.h
 /usr/local/include/eigen3/Eigen/src/Geometry/RotationBase.h
 src/Geometry/Rotation2D.h
 /usr/local/include/eigen3/Eigen/src/Geometry/Rotation2D.h
 src/Geometry/Quaternion.h
 /usr/local/include/eigen3/Eigen/src/Geometry/Quaternion.h
 src/Geometry/AngleAxis.h
 /usr/local/include/eigen3/Eigen/src/Geometry/AngleAxis.h
 src/Geometry/Transform.h
 /usr/local/include/eigen3/Eigen/src/Geometry/Transform.h
 src/Geometry/Translation.h
 /usr/local/include/eigen3/Eigen/src/Geometry/Translation.h
 src/Geometry/Scaling.h
 /usr/local/include/eigen3/Eigen/src/Geometry/Scaling.h
 src/Geometry/Hyperplane.h
 /usr/local/include/eigen3/Eigen/src/Geometry/Hyperplane.h
 src/Geometry/ParametrizedLine.h
 /usr/local/include/eigen3/Eigen/src/Geometry/ParametrizedLine.h
 src/Geometry/AlignedBox.h
 /usr/local/include/eigen3/Eigen/src/Geometry/AlignedBox.h
 src/Geometry/Umeyama.h
 /usr/local/include/eigen3/Eigen/src/Geometry/Umeyama.h
 src/Geometry/arch/Geometry_SSE.h
 /usr/local/include/eigen3/Eigen/src/Geometry/arch/Geometry_SSE.h
 src/Core/util/ReenableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/Householder
 Core
 /usr/local/include/eigen3/Eigen/Core
 src/Core/util/DisableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
 src/Householder/Householder.h
 /usr/local/include/eigen3/Eigen/src/Householder/Householder.h
 src/Householder/HouseholderSequence.h
 /usr/local/include/eigen3/Eigen/src/Householder/HouseholderSequence.h
 src/Householder/BlockHouseholder.h
 /usr/local/include/eigen3/Eigen/src/Householder/BlockHouseholder.h
 src/Core/util/ReenableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/Jacobi
 Core
 /usr/local/include/eigen3/Eigen/Core
 src/Core/util/DisableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
 src/Jacobi/Jacobi.h
 /usr/local/include/eigen3/Eigen/src/Jacobi/Jacobi.h
 src/Core/util/ReenableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/LU
 Core
 /usr/local/include/eigen3/Eigen/Core
 src/Core/util/DisableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
 src/misc/Kernel.h
 /usr/local/include/eigen3/Eigen/src/misc/Kernel.h
 src/misc/Image.h
 /usr/local/include/eigen3/Eigen/src/misc/Image.h
 src/LU/FullPivLU.h
 /usr/local/include/eigen3/Eigen/src/LU/FullPivLU.h
 src/LU/PartialPivLU.h
 /usr/local/include/eigen3/Eigen/src/LU/PartialPivLU.h
 src/misc/lapacke.h
 /usr/local/include/eigen3/Eigen/src/misc/lapacke.h
 src/LU/PartialPivLU_LAPACKE.h
 /usr/local/include/eigen3/Eigen/src/LU/PartialPivLU_LAPACKE.h
 src/LU/Determinant.h
 /usr/local/include/eigen3/Eigen/src/LU/Determinant.h
 src/LU/InverseImpl.h
 /usr/local/include/eigen3/Eigen/src/LU/InverseImpl.h
 src/LU/arch/Inverse_SSE.h
 /usr/local/include/eigen3/Eigen/src/LU/arch/Inverse_SSE.h
 src/Core/util/ReenableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/QR
 Core
 /usr/local/include/eigen3/Eigen/Core
 src/Core/util/DisableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
 Cholesky
 /usr/local/include/eigen3/Eigen/Cholesky
 Jacobi
 /usr/local/include/eigen3/Eigen/Jacobi
 Householder
 /usr/local/include/eigen3/Eigen/Householder
 src/QR/HouseholderQR.h
 /usr/local/include/eigen3/Eigen/src/QR/HouseholderQR.h
 src/QR/FullPivHouseholderQR.h
 /usr/local/include/eigen3/Eigen/src/QR/FullPivHouseholderQR.h
 src/QR/ColPivHouseholderQR.h
 /usr/local/include/eigen3/Eigen/src/QR/ColPivHouseholderQR.h
 src/QR/CompleteOrthogonalDecomposition.h
 /usr/local/include/eigen3/Eigen/src/QR/CompleteOrthogonalDecomposition.h
 src/misc/lapacke.h
 /usr/local/include/eigen3/Eigen/src/misc/lapacke.h
 src/QR/HouseholderQR_LAPACKE.h
 /usr/local/include/eigen3/Eigen/src/QR/HouseholderQR_LAPACKE.h
 src/QR/ColPivHouseholderQR_LAPACKE.h
 /usr/local/include/eigen3/Eigen/src/QR/ColPivHouseholderQR_LAPACKE.h
 src/Core/util/ReenableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/SVD
 QR
 /usr/local/include/eigen3/Eigen/QR
 Householder
 /usr/local/include/eigen3/Eigen/Householder
 Jacobi
 /usr/local/include/eigen3/Eigen/Jacobi
 src/Core/util/DisableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
 src/misc/RealSvd2x2.h
 /usr/local/include/eigen3/Eigen/src/misc/RealSvd2x2.h
 src/SVD/UpperBidiagonalization.h
 /usr/local/include/eigen3/Eigen/src/SVD/UpperBidiagonalization.h
 src/SVD/SVDBase.h
 /usr/local/include/eigen3/Eigen/src/SVD/SVDBase.h
 src/SVD/JacobiSVD.h
 /usr/local/include/eigen3/Eigen/src/SVD/JacobiSVD.h
 src/SVD/BDCSVD.h
 /usr/local/include/eigen3/Eigen/src/SVD/BDCSVD.h
 src/misc/lapacke.h
 /usr/local/include/eigen3/Eigen/src/misc/lapacke.h
 src/SVD/JacobiSVD_LAPACKE.h
 /usr/local/include/eigen3/Eigen/src/SVD/JacobiSVD_LAPACKE.h
 src/Core/util/ReenableStupidWarnings.h
 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/src/Cholesky/LDLT.h
 
 /usr/local/include/eigen3/Eigen/src/Cholesky/LLT.h
 
 /usr/local/include/eigen3/Eigen/src/Cholesky/LLT_LAPACKE.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Array.h
 
 /usr/local/include/eigen3/Eigen/src/Core/ArrayBase.h
 ../plugins/CommonCwiseUnaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/CommonCwiseUnaryOps.h
 ../plugins/MatrixCwiseUnaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/MatrixCwiseUnaryOps.h
 ../plugins/ArrayCwiseUnaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/ArrayCwiseUnaryOps.h
 ../plugins/CommonCwiseBinaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/CommonCwiseBinaryOps.h
 ../plugins/MatrixCwiseBinaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h
 ../plugins/ArrayCwiseBinaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h
 
 /usr/local/include/eigen3/Eigen/src/Core/ArrayWrapper.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Assign.h
 
 /usr/local/include/eigen3/Eigen/src/Core/AssignEvaluator.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Assign_MKL.h
 
 /usr/local/include/eigen3/Eigen/src/Core/BandMatrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Block.h
 
 /usr/local/include/eigen3/Eigen/src/Core/BooleanRedux.h
 
 /usr/local/include/eigen3/Eigen/src/Core/CommaInitializer.h
 
 /usr/local/include/eigen3/Eigen/src/Core/ConditionEstimator.h
 
 /usr/local/include/eigen3/Eigen/src/Core/CoreEvaluators.h
 
 /usr/local/include/eigen3/Eigen/src/Core/CoreIterators.h
 
 /usr/local/include/eigen3/Eigen/src/Core/CwiseBinaryOp.h
 
 /usr/local/include/eigen3/Eigen/src/Core/CwiseNullaryOp.h
 
 /usr/local/include/eigen3/Eigen/src/Core/CwiseTernaryOp.h
 
 /usr/local/include/eigen3/Eigen/src/Core/CwiseUnaryOp.h
 
 /usr/local/include/eigen3/Eigen/src/Core/CwiseUnaryView.h
 
 /usr/local/include/eigen3/Eigen/src/Core/DenseBase.h
 ../plugins/BlockMethods.h
 /usr/local/include/eigen3/Eigen/src/plugins/BlockMethods.h
 
 /usr/local/include/eigen3/Eigen/src/Core/DenseCoeffsBase.h
 
 /usr/local/include/eigen3/Eigen/src/Core/DenseStorage.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Diagonal.h
 
 /usr/local/include/eigen3/Eigen/src/Core/DiagonalMatrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/DiagonalProduct.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Dot.h
 
 /usr/local/include/eigen3/Eigen/src/Core/EigenBase.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Fuzzy.h
 
 /usr/local/include/eigen3/Eigen/src/Core/GeneralProduct.h
 
 /usr/local/include/eigen3/Eigen/src/Core/GenericPacketMath.h
 
 /usr/local/include/eigen3/Eigen/src/Core/GlobalFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/IO.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Inverse.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Map.h
 
 /usr/local/include/eigen3/Eigen/src/Core/MapBase.h
 
 /usr/local/include/eigen3/Eigen/src/Core/MathFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/MathFunctionsImpl.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Matrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/MatrixBase.h
 ../plugins/CommonCwiseUnaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/CommonCwiseUnaryOps.h
 ../plugins/CommonCwiseBinaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/CommonCwiseBinaryOps.h
 ../plugins/MatrixCwiseUnaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/MatrixCwiseUnaryOps.h
 ../plugins/MatrixCwiseBinaryOps.h
 /usr/local/include/eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h
 
 /usr/local/include/eigen3/Eigen/src/Core/NestByValue.h
 
 /usr/local/include/eigen3/Eigen/src/Core/NoAlias.h
 
 /usr/local/include/eigen3/Eigen/src/Core/NumTraits.h
 
 /usr/local/include/eigen3/Eigen/src/Core/PermutationMatrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/PlainObjectBase.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Product.h
 
 /usr/local/include/eigen3/Eigen/src/Core/ProductEvaluators.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Random.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Redux.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Ref.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Replicate.h
 
 /usr/local/include/eigen3/Eigen/src/Core/ReturnByValue.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Reverse.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Select.h
 
 /usr/local/include/eigen3/Eigen/src/Core/SelfAdjointView.h
 
 /usr/local/include/eigen3/Eigen/src/Core/SelfCwiseBinaryOp.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Solve.h
 
 /usr/local/include/eigen3/Eigen/src/Core/SolveTriangular.h
 
 /usr/local/include/eigen3/Eigen/src/Core/SolverBase.h
 
 /usr/local/include/eigen3/Eigen/src/Core/StableNorm.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Stride.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Swap.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Transpose.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Transpositions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/TriangularMatrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/VectorBlock.h
 
 /usr/local/include/eigen3/Eigen/src/Core/VectorwiseOp.h
 
 /usr/local/include/eigen3/Eigen/src/Core/Visitor.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AVX/Complex.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AVX/MathFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AVX/PacketMath.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AVX/TypeCasting.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AVX512/MathFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AVX512/PacketMath.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AltiVec/Complex.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AltiVec/MathFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/AltiVec/PacketMath.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/CUDA/Complex.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/CUDA/Half.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/CUDA/MathFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/CUDA/PacketMath.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/CUDA/PacketMathHalf.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/CUDA/TypeCasting.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/Default/Settings.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/NEON/Complex.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/NEON/MathFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/NEON/PacketMath.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/SSE/Complex.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/SSE/MathFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/SSE/PacketMath.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/SSE/TypeCasting.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/ZVector/Complex.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/ZVector/MathFunctions.h
 
 /usr/local/include/eigen3/Eigen/src/Core/arch/ZVector/PacketMath.h
 stdint.h
 -
 
 /usr/local/include/eigen3/Eigen/src/Core/functors/AssignmentFunctors.h
 
 /usr/local/include/eigen3/Eigen/src/Core/functors/BinaryFunctors.h
 
 /usr/local/include/eigen3/Eigen/src/Core/functors/NullaryFunctors.h
 
 /usr/local/include/eigen3/Eigen/src/Core/functors/StlFunctors.h
 
 /usr/local/include/eigen3/Eigen/src/Core/functors/TernaryFunctors.h
 
 /usr/local/include/eigen3/Eigen/src/Core/functors/UnaryFunctors.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/GeneralBlockPanelKernel.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/GeneralMatrixMatrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/GeneralMatrixMatrixTriangular.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/GeneralMatrixMatrixTriangular_BLAS.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/GeneralMatrixMatrix_BLAS.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/GeneralMatrixVector.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/GeneralMatrixVector_BLAS.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/Parallelizer.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/SelfadjointMatrixMatrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/SelfadjointMatrixMatrix_BLAS.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/SelfadjointMatrixVector.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/SelfadjointMatrixVector_BLAS.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/SelfadjointProduct.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/SelfadjointRank2Update.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/TriangularMatrixMatrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/TriangularMatrixMatrix_BLAS.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/TriangularMatrixVector.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/TriangularMatrixVector_BLAS.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/TriangularSolverMatrix.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/TriangularSolverMatrix_BLAS.h
 
 /usr/local/include/eigen3/Eigen/src/Core/products/TriangularSolverVector.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/BlasUtil.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/Constants.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/DisableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/ForwardDeclarations.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/MKL_support.h
 mkl.h
 -
 ../../misc/blas.h
 /usr/local/include/eigen3/Eigen/src/misc/blas.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/Macros.h
 cstdlib
 -
 iostream
 -
 
 /usr/local/include/eigen3/Eigen/src/Core/util/Memory.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/Meta.h
 cfloat
 -
 math_constants.h
 -
 cstdint
 -
 
 /usr/local/include/eigen3/Eigen/src/Core/util/ReenableStupidWarnings.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/StaticAssert.h
 
 /usr/local/include/eigen3/Eigen/src/Core/util/XprHelper.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/ComplexEigenSolver.h
 ./ComplexSchur.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/ComplexSchur.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/ComplexSchur.h
 ./HessenbergDecomposition.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/HessenbergDecomposition.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/ComplexSchur_LAPACKE.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/EigenSolver.h
 ./RealSchur.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/RealSchur.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/GeneralizedEigenSolver.h
 ./RealQZ.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/RealQZ.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h
 ./Tridiagonalization.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/Tridiagonalization.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/HessenbergDecomposition.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/MatrixBaseEigenvalues.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/RealQZ.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/RealSchur.h
 ./HessenbergDecomposition.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/HessenbergDecomposition.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/RealSchur_LAPACKE.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h
 ./Tridiagonalization.h
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/Tridiagonalization.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/SelfAdjointEigenSolver_LAPACKE.h
 
 /usr/local/include/eigen3/Eigen/src/Eigenvalues/Tridiagonalization.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/AlignedBox.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/AngleAxis.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/EulerAngles.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/Homogeneous.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/Hyperplane.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/OrthoMethods.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/ParametrizedLine.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/Quaternion.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/Rotation2D.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/RotationBase.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/Scaling.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/Transform.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/Translation.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/Umeyama.h
 
 /usr/local/include/eigen3/Eigen/src/Geometry/arch/Geometry_SSE.h
 
 /usr/local/include/eigen3/Eigen/src/Householder/BlockHouseholder.h
 
 /usr/local/include/eigen3/Eigen/src/Householder/Householder.h
 
 /usr/local/include/eigen3/Eigen/src/Householder/HouseholderSequence.h
 
 /usr/local/include/eigen3/Eigen/src/Jacobi/Jacobi.h
 
 /usr/local/include/eigen3/Eigen/src/LU/Determinant.h
 
 /usr/local/include/eigen3/Eigen/src/LU/FullPivLU.h
 
 /usr/local/include/eigen3/Eigen/src/LU/InverseImpl.h
 
 /usr/local/include/eigen3/Eigen/src/LU/PartialPivLU.h
 
 /usr/local/include/eigen3/Eigen/src/LU/PartialPivLU_LAPACKE.h
 
 /usr/local/include/eigen3/Eigen/src/LU/arch/Inverse_SSE.h
 
 /usr/local/include/eigen3/Eigen/src/QR/ColPivHouseholderQR.h
 
 /usr/local/include/eigen3/Eigen/src/QR/ColPivHouseholderQR_LAPACKE.h
 
 /usr/local/include/eigen3/Eigen/src/QR/CompleteOrthogonalDecomposition.h
 
 /usr/local/include/eigen3/Eigen/src/QR/FullPivHouseholderQR.h
 
 /usr/local/include/eigen3/Eigen/src/QR/HouseholderQR.h
 
 /usr/local/include/eigen3/Eigen/src/QR/HouseholderQR_LAPACKE.h
 
 /usr/local/include/eigen3/Eigen/src/SVD/BDCSVD.h
 
 /usr/local/include/eigen3/Eigen/src/SVD/JacobiSVD.h
 
 /usr/local/include/eigen3/Eigen/src/SVD/JacobiSVD_LAPACKE.h
 
 /usr/local/include/eigen3/Eigen/src/SVD/SVDBase.h
 
 /usr/local/include/eigen3/Eigen/src/SVD/UpperBidiagonalization.h
 
 /usr/local/include/eigen3/Eigen/src/misc/Image.h
 
 /usr/local/include/eigen3/Eigen/src/misc/Kernel.h
 
 /usr/local/include/eigen3/Eigen/src/misc/RealSvd2x2.h
 
 /usr/local/include/eigen3/Eigen/src/misc/blas.h
 
 /usr/local/include/eigen3/Eigen/src/misc/lapacke.h
 lapacke_config.h
 /usr/local/include/eigen3/Eigen/src/misc/lapacke_config.h
 stdlib.h
 -
 complex.h
 -
 complex.h
 -
 lapacke_mangling.h
 /usr/local/include/eigen3/Eigen/src/misc/lapacke_mangling.h
 
 /usr/local/include/eigen3/Eigen/src/misc/lapacke_mangling.h
 
 /usr/local/include/eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h
 
 /usr/local/include/eigen3/Eigen/src/plugins/ArrayCwiseUnaryOps.h
 
 /usr/local/include/eigen3/Eigen/src/plugins/BlockMethods.h
 
 /usr/local/include/eigen3/Eigen/src/plugins/CommonCwiseBinaryOps.h
 
 /usr/local/include/eigen3/Eigen/src/plugins/CommonCwiseUnaryOps.h
 
 /usr/local/include/eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h
 
 /usr/local/include/eigen3/Eigen/src/plugins/MatrixCwiseUnaryOps.h
 
diff --git a/cmake-build-debug/ODElibrary/CMakeFiles/ODElibrary.dir/MultistepAbstractSolver.cpp.o b/cmake-build-debug/ODElibrary/CMakeFiles/ODElibrary.dir/MultistepAbstractSolver.cpp.o
index aaa4d37..fdc6376 100644
Binary files a/cmake-build-debug/ODElibrary/CMakeFiles/ODElibrary.dir/MultistepAbstractSolver.cpp.o and b/cmake-build-debug/ODElibrary/CMakeFiles/ODElibrary.dir/MultistepAbstractSolver.cpp.o differ
diff --git a/cmake-build-debug/ODElibrary/libODElibrary.a b/cmake-build-debug/ODElibrary/libODElibrary.a
index 46547aa..6692ab0 100644
Binary files a/cmake-build-debug/ODElibrary/libODElibrary.a and b/cmake-build-debug/ODElibrary/libODElibrary.a differ
diff --git a/cmake-build-debug/pscsproject b/cmake-build-debug/pscsproject
index 347547b..90a8006 100755
Binary files a/cmake-build-debug/pscsproject and b/cmake-build-debug/pscsproject differ
diff --git a/main.cpp b/main.cpp
index 020b596..9438852 100644
--- a/main.cpp
+++ b/main.cpp
@@ -1,56 +1,62 @@
 //
 // Created by lionel on 25.11.19.
 //
 
 #include <iostream>
 #include <Eigen/Dense>
 #include <vector>
 
 /**
  * This function will correspond to the rhs function g(t), where:
  * @param t time at which it has to be computed
  * @param dim  dimension of the ODE system
  * @param result reference to a Eigen::VectorXd where g(t) will be stored
  * As it is now designed, it computes the values for a single time. This choice is motivated
  * by the fact that we do not need to store the values of g(t) for all time steps, since we do
  * not need them again once the integration step which concerns them has been performed.
  * (do you agree?)
  */
 void function(double t,int dim, Eigen::VectorXd& result);
 
 int main(){
     std::cout << "hello world" << std::endl;
     Eigen::MatrixXd m(2,2);
     Eigen::VectorXd v(2);
     Eigen::Vector4d w;
     v[0]=1.0,v[1]=2.0;
     m(0,0)=1.0, m(0,1)=2.0,m(1,0)=1.5, m(1,1)=4.0;
     w[0]=0,w[1]=1,w[2]=2,w[3]=3;
 
     Eigen::VectorXd s(2);
     function(2,2,s);
-    std::cout<<s<<"\n";
+    //std::cout<<s<<"\n";
 
 
 
 
     void (*p_function)(double t, int dim,Eigen::VectorXd& result);
     p_function=&function;
 
     p_function(3,2,s);
     std::cout<<s<<"\n";
 
     std::vector<Eigen::VectorXd*> vec;
     vec.push_back(&v);
     vec.push_back(&s);
+    //std::cout<<*vec[0]<<"\n";
+
+    vec.erase(vec.begin());
     std::cout<<*vec[0]<<"\n";
+    //std::cout<<*(*vec.begin())<<"\n";
+
+
 
     auto k=m*v;
-    std::cout<<k<<"\n";
+   // std::cout<<k<<"\n";
 
 }
 
 void function(double t,int dim, Eigen::VectorXd& result){
     result[0]=t;
     result[1]=t*t;
 }
\ No newline at end of file