When it comes to analysis, the term numerical integration indicates a group of algorithms for calculating the numerical value of a definite integral on an interval.
Numerical integration algorithms compute an approximate solution to a
definite integral with a certain degree of accuracy. NumericalIntegration
is the direct supertype of:
-
IntervalsIntegration, which is used for numerical integration algorithms that split the integration bounds into intervals.
-
AdaptiveQuadrature, which uses the "adaptive quadrature" algorithm to evaluate the integral.
The function must be continuous in the [lowerBound, upperBound]
interval.
- Implementers
Constructors
- NumericalIntegration({required String function, required double lowerBound, required double upperBound})
-
Creates a NumericalIntegration object.
const
Properties
- function → String
-
The function to be integrated on the given interval.
final
- hashCode → int
-
The hash code for this object.
no setteroverride
- lowerBound → double
-
The lower bound of the integral.
final
- runtimeType → Type
-
A representation of the runtime type of the object.
no setterinherited
- upperBound → double
-
The upper bound of the integral.
final
Methods
-
evaluateFunction(
double x) → double -
Evaluates the given function on the
x
point. -
integrate(
) → ({List< double> guesses, double result}) - Calculates the numerical value of the definite function integral between lowerBound and upperBound. Returns a Record object whose members are:
-
noSuchMethod(
Invocation invocation) → dynamic -
Invoked when a nonexistent method or property is accessed.
inherited
-
toString(
) → String -
A string representation of this object.
override
Operators
-
operator ==(
Object other) → bool -
The equality operator.
override