diff --git a/src/Numerics/Numerics.csproj b/src/Numerics/Numerics.csproj
index eb71bc10..2306ffa1 100644
--- a/src/Numerics/Numerics.csproj
+++ b/src/Numerics/Numerics.csproj
@@ -112,6 +112,7 @@
+
diff --git a/src/Numerics/OdeSolvers/AdamsBashforth.cs b/src/Numerics/OdeSolvers/AdamsBashforth.cs
new file mode 100644
index 00000000..1efee322
--- /dev/null
+++ b/src/Numerics/OdeSolvers/AdamsBashforth.cs
@@ -0,0 +1,78 @@
+//
+// Math.NET Numerics, part of the Math.NET Project
+// http://numerics.mathdotnet.com
+// http://github.com/mathnet/mathnet-numerics
+//
+// Copyright (c) 2009-2016 Math.NET
+//
+// Permission is hereby granted, free of charge, to any person
+// obtaining a copy of this software and associated documentation
+// files (the "Software"), to deal in the Software without
+// restriction, including without limitation the rights to use,
+// copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the
+// Software is furnished to do so, subject to the following
+// conditions:
+//
+// The above copyright notice and this permission notice shall be
+// included in all copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+// OTHER DEALINGS IN THE SOFTWARE.
+//
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+
+namespace MathNet.Numerics.OdeSolvers
+{
+ public static class AdamsBashforth
+ {
+
+ ///
+ /// First Order AB method(same as Forward Euler)
+ ///
+ /// Initial value
+ /// Start Time
+ /// End Time
+ /// Number of subintervals
+ /// ode model
+ ///
+ public static double[] FirstOrder(double y0, double start, double end, int N, Func f)
+ {
+ double dt = (end - start) / (N - 1);
+ double t = start;
+ double[] y = new double[N];
+ y[0] = y0;
+ for (int i = 1; i < N; i++)
+ {
+ y[i] = y0 + dt * f(t, y0);
+ t += dt;
+ y0 = y[i];
+ }
+ return y;
+ }
+
+ public static double[] SecondOrder()
+ {
+ return null;
+ }
+
+ public static double[] ThirdOrder()
+ {
+ return null;
+ }
+
+ public static double[] FourthOrder()
+ {
+ return null;
+ }
+ }
+}
diff --git a/src/UnitTests/OdeSolvers/OdeSolverTest.cs b/src/UnitTests/OdeSolvers/OdeSolverTest.cs
index d8b3542b..3d1b18ba 100644
--- a/src/UnitTests/OdeSolvers/OdeSolverTest.cs
+++ b/src/UnitTests/OdeSolvers/OdeSolverTest.cs
@@ -40,6 +40,26 @@ namespace MathNet.Numerics.UnitTests.OdeSolvers
[TestFixture, Category("OdeSolver")]
public class OdeSolverTest
{
+ [Test]
+ public void AB1Test()
+ {
+ Func ode = (t, y) => t + 2 * y * t;
+ Func sol = (t) => 0.5 * (Math.Exp(t * t) - 1);
+ double ratio = double.NaN;
+ double error = 0;
+ double oldError = 0;
+ for (int k = 0; k < 4; k++)
+ {
+ double y0 = 0;
+ double[] y_t = AdamsBashforth.FirstOrder(y0, 0, 2, Convert.ToInt32(Math.Pow(2, k + 8)), ode);
+ error = Math.Abs(sol(2) - y_t.Last());
+ if (oldError != 0)
+ ratio = Math.Log(oldError / error, 2);
+ oldError = error;
+ Console.WriteLine(string.Format("{0}, {1}", error, ratio));
+ }
+ Assert.AreEqual(1, ratio, 0.01);// Check error convergence order
+ }
///
/// Runge-Kutta second order method for first order ODE.
///