io.github.kensuke1984.kibrary.math

クラス Integrand

java.lang.Object

io.github.kensuke1984.kibrary.math.Integrand

public final class Integrand
extends java.lang.Object

Integrand utilities

メソッドのサマリー

修飾子とタイプ	メソッドと説明
static double	bySimpsonRule(double f0, double f1, double f2, double h) ∫f(x)dx (a ≤ x ≤ b), h = b-a, answer = h/6*(f(a)+4*f((a+b)/2)+f(b)) by Simpson's rule.
static double	jeffreysMethod1(double h, double... y) 1: ∫02h(ax-1/2+bx1/2)dx
static double	jeffreysMethod2(double h, double... y) 2:∫03h(ax-1/2+bx1/2)dx
static double	jeffreysMethod3(double h, double... y) 3: ∫03h (a x-1/2 + b x1/2 + c x3/2) dx
static double	jeffreysMethod4(double h, double... y) 4: ∫02h (a x1/2 + b x3/2) dx
static double	jeffreysMethod5(double h, double... y) 5: ∫03h (a x1/2 + b x3/2) dx
static double	jeffreysMethod6(double h, double... y) 6: ∫03h(a x1/2 + b x3/2 + c x5/2) dx

クラスから継承されたメソッド java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

メソッドの詳細

bySimpsonRule

public static double bySimpsonRule(double f0,
                                   double f1,
                                   double f2,
                                   double h)

∫f(x)dx (a ≤ x ≤ b), h = b-a, answer = h/6*(f(a)+4*f((a+b)/2)+f(b)) by Simpson's rule.

パラメータ:

f0 - f(a)

f1 - f((a+b)/2)

f2 - f(b)

h - b-a

戻り値:

∫f(x)dx

関連項目:

Japanese or English

jeffreysMethod1

public static double jeffreysMethod1(double h,
                                     double... y)

1: ∫₀^2h(ax^-1/2+bx^1/2)dx

パラメータ:

h - where integral interval is 0 → 2h

y - f(h), f(2h) for the approximation

戻り値:

value by 1

関連項目:

"page 289 eq.1 Jeffereys & Jeffreys"

jeffreysMethod2

public static double jeffreysMethod2(double h,
                                     double... y)

2:∫₀^3h(ax^-1/2+bx^1/2)dx

パラメータ:

h - where integral interval is 0 → 3h

y - f(h), f(2h), f(3h) for the approximation

戻り値:

value by 2

関連項目:

"page 289 eq.2 Jeffereys & Jeffreys"

jeffreysMethod3

public static double jeffreysMethod3(double h,
                                     double... y)

3: ∫₀^3h (a x^-1/2 + b x^1/2 + c x^3/2) dx

パラメータ:

h - where integral interval is 0 → 3h

y - f(h), f(2h), f(3h) for the approximation

戻り値:

value by 3

関連項目:

"page 289 eq.3 Jeffereys & Jeffreys"

jeffreysMethod4

public static double jeffreysMethod4(double h,
                                     double... y)

4: ∫₀^2h (a x^1/2 + b x^3/2) dx

パラメータ:

h - where integral interval is 0 → 2h

y - f(h), f(2h) for the approximation

戻り値:

value by 4

関連項目:

"page 289 eq.4 Jeffereys & Jeffreys"

jeffreysMethod5

public static double jeffreysMethod5(double h,
                                     double... y)

5: ∫₀^3h (a x^1/2 + b x^3/2) dx

パラメータ:

h - where integral interval is 0 → 3h

y - f(h), f(2h), f(3h) for the approximation

戻り値:

value by 5

関連項目:

"page 289 eq.5 Jeffereys & Jeffreys"

jeffreysMethod6

public static double jeffreysMethod6(double h,
                                     double... y)

6: ∫₀^3h(a x^1/2 + b x^3/2 + c x^5/2) dx

パラメータ:

h - where integral interval is 0 → 3h

y - f(h), f(2h), f(3h) for the approximation

戻り値:

value by 6

関連項目:

"page 289 eq.6 Jeffereys & Jeffreys"