WIP #1034 new ClenshawCurtisRule, GaussLobattoRule,NewtonCotesRule

method options for NIntegrate

Author: axkr

symja_android_library/matheclipse-core/src/main/java/org/matheclipse/core/reflection/system/NIntegrate.java

@@ -146,7 +146,7 @@ public static double integrate(String method, IAST list, final double min, final
       }
       // NIntegrate failed to converge after `1` refinements in `2` in the region `3`.
       throw new ArgumentTypeException("ncvi", F.List(F.ZZ(result.evaluations), xVar, list.rest()));
-    } else if ("GaussLobatto".equalsIgnoreCase(method)) {
+    } else if ("GaussLobattoRule".equalsIgnoreCase(method)) {
       Quadrature quadrature = new GaussLobatto(Config.SPECIAL_FUNCTIONS_TOLERANCE, 1000);
       QuadratureResult result = quadrature.integrate(f, min, max);
       if (result.converged) {

symja_android_library/matheclipse-core/src/test/java/org/matheclipse/core/system/IntegrateTest.java

@@ -297,7 +297,7 @@ public void testIntegrate() {
   @Test
   public void testNIntegrate() {
     // avoid Indeterminate at 0
-    checkNumeric("NIntegrate(1/Sqrt(x), {x, 0.001, 1}, Method -> \"GaussLobatto\")", //
+    checkNumeric("NIntegrate(1/Sqrt(x), {x, 0.001, 1}, Method -> \"GaussLobattoRule\")", //
         "1.9367544467966367");
     checkNumeric("NIntegrate(1/Sqrt(x), {x, 0.001, 1}, Method -> \"NewtonCotesRule\")", //
         "1.936754446797901");