<html>
<body>


  



  Hi all,<br>
  some ideas implemented in the solver <a href="http://openopt.org/interalg" title="interalg">interalg</a> (INTERval ALGorithm) that already turn out to be more effective than its competitors in numerical optimization (<a href="http://openopt.org/interalg_bench" title="interalg bench">benchmark)</a>&#160; appears to be extremely effective in numerical integration with guaranteed precision.<br>
  Here are some examples where interalg works perfectly while scipy.integrate solvers fail to solve the problems and lie about obtained residual:<br>

  <ul>
    <li><a style="color:brown;" href="http://trac.openopt.org/openopt/browser/PythonPackages/FuncDesigner/FuncDesigner/examples/integrate1.py" class="external text" title="http://trac.openopt.org/openopt/browser/PythonPackages/FuncDesigner/FuncDesigner/examples/integrate1.py" rel="nofollow">1-D</a> (vs scipy.integrate quad)</li>

    <li><a href="http://trac.openopt.org/openopt/browser/PythonPackages/FuncDesigner/FuncDesigner/examples/integrate2.py" class="external text" title="http://trac.openopt.org/openopt/browser/PythonPackages/FuncDesigner/FuncDesigner/examples/integrate2.py" rel="nofollow">2-D</a> (vs scipy.integrate dblquad)</li>

    <li><a href="http://trac.openopt.org/openopt/browser/PythonPackages/FuncDesigner/FuncDesigner/examples/integrate3.py" class="external text" title="http://trac.openopt.org/openopt/browser/PythonPackages/FuncDesigner/FuncDesigner/examples/integrate3.py" rel="nofollow">3-D</a> (vs scipy.integrate tplquad)</li>
  </ul>see http://openopt.org/IP for more details.<br>
  Regards, D.<br>



</body>
</html>