Examples of org.apache.commons.math.ode.TestProblem6

org.apache.commons.math.ode.TestProblem6
This class is used in the junit tests for the ODE integrators.
This specific problem is the following differential equation :
```
 y' = 3x^5 - y 
```
when the initial condition is y(0) = -360, the solution of this equation degenerates to a simple quintic polynomial function :
```
 y (t) = 3x^5 - 15x^4 + 60x^3 - 180x^2 + 360x - 360 
```

        assertEquals("Adams-Moulton", integ.getName());
    }


    @Test
    public void polynomial() throws DerivativeException, IntegratorException {
        TestProblem6 pb = new TestProblem6();
        double range = Math.abs(pb.getFinalTime() - pb.getInitialTime());


        for (int nSteps = 1; nSteps < 7; ++nSteps) {
            AdamsMoultonIntegrator integ =
                new AdamsMoultonIntegrator(nSteps, 1.0e-6 * range, 0.1 * range, 1.0e-9, 1.0e-9);
            TestProblemHandler handler = new TestProblemHandler(pb, integ);
            integ.addStepHandler(handler);
            integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                            pb.getFinalTime(), new double[pb.getDimension()]);
            if (nSteps < 4) {
                assertTrue(integ.getEvaluations() > 140);
            } else {
                assertTrue(integ.getEvaluations() < 90);
            }

View Full Code Here

        assertEquals("Adams-Bashforth", integ.getName());
    }


    @Test
    public void polynomial() throws DerivativeException, IntegratorException {
        TestProblem6 pb = new TestProblem6();
        double range = FastMath.abs(pb.getFinalTime() - pb.getInitialTime());


        for (int nSteps = 1; nSteps < 8; ++nSteps) {
            AdamsBashforthIntegrator integ =
                new AdamsBashforthIntegrator(nSteps, 1.0e-6 * range, 0.1 * range, 1.0e-10, 1.0e-10);
            TestProblemHandler handler = new TestProblemHandler(pb, integ);
            integ.addStepHandler(handler);
            integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                            pb.getFinalTime(), new double[pb.getDimension()]);
            if (nSteps < 4) {
                assertTrue(integ.getEvaluations() > 150);
            } else {
                assertTrue(integ.getEvaluations() < 70);
            }

View Full Code Here

        assertEquals("Adams-Moulton", integ.getName());
    }


    @Test
    public void polynomial() throws DerivativeException, IntegratorException {
        TestProblem6 pb = new TestProblem6();
        double range = FastMath.abs(pb.getFinalTime() - pb.getInitialTime());


        for (int nSteps = 1; nSteps < 7; ++nSteps) {
            AdamsMoultonIntegrator integ =
                new AdamsMoultonIntegrator(nSteps, 1.0e-6 * range, 0.1 * range, 1.0e-9, 1.0e-9);
            TestProblemHandler handler = new TestProblemHandler(pb, integ);
            integ.addStepHandler(handler);
            integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                            pb.getFinalTime(), new double[pb.getDimension()]);
            if (nSteps < 4) {
                assertTrue(integ.getEvaluations() > 140);
            } else {
                assertTrue(integ.getEvaluations() < 90);
            }

View Full Code Here

        assertEquals("Adams-Bashforth", integ.getName());
    }


    @Test
    public void polynomial() throws DerivativeException, IntegratorException {
        TestProblem6 pb = new TestProblem6();
        double range = Math.abs(pb.getFinalTime() - pb.getInitialTime());


        for (int nSteps = 1; nSteps < 8; ++nSteps) {
            AdamsBashforthIntegrator integ =
                new AdamsBashforthIntegrator(nSteps, 1.0e-6 * range, 0.1 * range, 1.0e-10, 1.0e-10);
            TestProblemHandler handler = new TestProblemHandler(pb, integ);
            integ.addStepHandler(handler);
            integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                            pb.getFinalTime(), new double[pb.getDimension()]);
            if (nSteps < 4) {
                assertTrue(integ.getEvaluations() > 160);
            } else {
                assertTrue(integ.getEvaluations() < 80);
            }

View Full Code Here

        assertEquals("Adams-Moulton", integ.getName());
    }


    @Test
    public void polynomial() throws DerivativeException, IntegratorException {
        TestProblem6 pb = new TestProblem6();
        double range = Math.abs(pb.getFinalTime() - pb.getInitialTime());


        for (int nSteps = 1; nSteps < 7; ++nSteps) {
            AdamsMoultonIntegrator integ =
                new AdamsMoultonIntegrator(nSteps, 1.0e-6 * range, 0.1 * range, 1.0e-9, 1.0e-9);
            TestProblemHandler handler = new TestProblemHandler(pb, integ);
            integ.addStepHandler(handler);
            integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                            pb.getFinalTime(), new double[pb.getDimension()]);
            if (nSteps < 4) {
                assertTrue(integ.getEvaluations() > 150);
            } else {
                assertTrue(integ.getEvaluations() < 100);
            }

View Full Code Here

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Related Classes of org.apache.commons.math.ode.TestProblem6

org.apache.commons.math.ode.nonstiff.AdamsBashforthIntegratorTest

org.apache.commons.math.ode.nonstiff.AdamsMoultonIntegratorTest

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