Class MappedExpander.DoubleLogarithmicMap

java.lang.Object

com.github.gbenroscience.math.numericalmethods.MappedExpander.DoubleLogarithmicMap

All Implemented Interfaces:

MappedExpander.DomainMap

Enclosing class:

MappedExpander

public static class MappedExpander.DoubleLogarithmicMap
extends Object
implements MappedExpander.DomainMap

A DomainMap that clusters nodes tightly at BOTH the lower bound (a) and the upper bound (b). Uses a Hyperbolic Tangent transformation.

Author:

GBEMIRO

Constructor Summary

Constructors

Constructor	Description
DoubleLogarithmicMap(double a, double b, double s)

Method Summary

Modifier and Type	Method	Description
double	derivativeFactor(double u)
double	dx_du(double u)
double	toChebyshev(double x)
double	toPhysical(double u)

Methods inherited from class java.lang.Object

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

Constructor Details

DoubleLogarithmicMap

public DoubleLogarithmicMap(double a,
 double b,
 double s)

Parameters:

s - Sensitivity. For a tanh map, a value between 3.0 and 5.0 is ideal. s = 4.0 creates extreme clustering at the boundaries.

Method Details

toPhysical

public double toPhysical(double u)

Specified by:

toPhysical in interface MappedExpander.DomainMap

toChebyshev

public double toChebyshev(double x)

Specified by:

toChebyshev in interface MappedExpander.DomainMap

dx_du

public double dx_du(double u)

Specified by:

dx_du in interface MappedExpander.DomainMap

derivativeFactor

public double derivativeFactor(double u)

Specified by:

derivativeFactor in interface MappedExpander.DomainMap