MidpointRule class base
The "midpoint rule" is a technique for approximating the value of a definite integral.
This algorithm requires the intervals parameter, which indicates how many partitions have to be computed by the algorithm.
The midpoint rule estimates a definite integral using a Riemann sum with sub-intervals of equal width.
- Inheritance
-
- Object
- NumericalIntegration
- IntervalsIntegration
- MidpointRule
Constructors
- MidpointRule({required String function, required double lowerBound, required double upperBound, int intervals = 30})
-
Creates a MidpointRule object.
const
Properties
- function → String
-
The function to be integrated on the given interval.
finalinherited
- hashCode → int
-
The hash code for this object.
no setterinherited
- intervals → int
-
The number of parts in which the interval
[lowerBound, upperBound]
has to be split by the algorithm.finalinherited - lowerBound → double
-
The lower bound of the integral.
finalinherited
- runtimeType → Type
-
A representation of the runtime type of the object.
no setterinherited
- upperBound → double
-
The upper bound of the integral.
finalinherited
Methods
-
evaluateFunction(
double x) → double -
Evaluates the given function on the
x
point.inherited -
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:
override
-
noSuchMethod(
Invocation invocation) → dynamic -
Invoked when a nonexistent method or property is accessed.
inherited
-
toString(
) → String -
A string representation of this object.
inherited
Operators
-
operator ==(
Object other) → bool -
The equality operator.
inherited