A B C D E F G H I K M N P R S T U X

A

A - Variable in class signal.example.swData

A - Variable in class signal.example.fbed2data

A - Variable in class signal.example.eulerData

A - Variable in class signal.example.fbednhdata40

A - Variable in class signal.example.rEulerData

A - Variable in class signal.example.hh2data

A - Variable in class signal.example.fbednhdata05

A - Variable in class signal.example.fbed1data

A - Variable in class signal.example.hh3data

A - Variable in class signal.example.example

alpha - Variable in class signal.example.swData

alpha - Variable in class signal.example.fbed2data

alpha - Variable in class signal.example.eulerData

alpha - Variable in class signal.example.fbednhdata40

alpha - Variable in class signal.example.rEulerData

alpha - Variable in class signal.example.hh2data

alpha - Variable in class signal.example.fbednhdata05

alpha - Variable in class signal.example.fbed1data

alpha - Variable in class signal.example.hh3data

alpha - Variable in class signal.example.example

B

B - Variable in class signal.example.swData

B - Variable in class signal.example.fbed2data

B - Variable in class signal.example.eulerData

B - Variable in class signal.example.fbednhdata40

B - Variable in class signal.example.rEulerData

B - Variable in class signal.example.hh2data

B - Variable in class signal.example.fbednhdata05

B - Variable in class signal.example.fbed1data

B - Variable in class signal.example.hh3data

B - Variable in class signal.example.example

beta - Variable in class signal.example.fbednhdata40

C

C - Variable in class signal.example.example

chebyCoef(double[], double[], int) - Static method in class signal.lib.chebyshevPolynomial

Given discrete function values u, the method returns the first N+1 discrete Chebyshev coefficients, ak

chebySeries(double[], double) - Static method in class signal.lib.chebyshevPolynomial

Evaluates the Chebyshev partial sum u += aN[k]*T(x,k) by Clenshaw's recurrence relation

chebyshevPolynomial - class signal.lib.chebyshevPolynomial.

Implements methods associated with the Chebyshev Polynomials, Tk(x).

chebyshevPolynomial() - Constructor for class signal.lib.chebyshevPolynomial

CJ(int, int) - Static method in class signal.lib.chebyshevPolynomial

weights and normalizing factors, 1/Cj

D

D - Variable in class signal.example.example

data - Variable in class signal.example.swData

data - Variable in class signal.example.fbed2data

data - Variable in class signal.example.eulerData

data - Variable in class signal.example.fbednhdata40

data - Variable in class signal.example.rEulerData

The Chebyshev SSV solution on a mapped grid formed with map 1 and alpha = 0.9999

data - Variable in class signal.example.hh2data

data - Variable in class signal.example.fbednhdata05

The Chebyshev super spectral viscosity solution on the CGL grid

data - Variable in class signal.example.fbed1data

data - Variable in class signal.example.hh3data

data - Variable in class signal.example.example

Derivative(double[], double[]) - Static method in class signal.lib.utility

Given a vector of function values U, the derivate of the function is returned in the vector d.

E

edgeDetect - class signal.lib.edgeDetect.

Finds edge locations in functions.

edgeDetect() - Constructor for class signal.lib.edgeDetect

edgeDetectAB - class signal.lib.edgeDetectAB.

Finds edge locations in functions.

edgeDetectAB() - Constructor for class signal.lib.edgeDetectAB

eulerData - class signal.example.eulerData.

Eulter Equations on [-5,5] at t=1.8.

eulerData() - Constructor for class signal.example.eulerData

exact - Variable in class signal.example.swData

exact - Variable in class signal.example.fbed2data

exact - Variable in class signal.example.eulerData

exact - Variable in class signal.example.rEulerData

The reference solution is computed using the Nessayahu-Tadmor method with N=2000 (interpolated with cubic option of Matlabs interp1 back to the spectral grid with N=512) and a very small time step.

exact - Variable in class signal.example.hh2data

exact - Variable in class signal.example.fbednhdata05

The reference solution is computed using Roe's Method with N=1024 (interpolated with cubic option of Matlabs interp1 back to the CGL grid with N=256) and a very small time step.

exact - Variable in class signal.example.fbed1data

exact - Variable in class signal.example.hh3data

exact - Variable in class signal.example.example

example - class signal.example.example.

The form in which example data should be in.

example() - Constructor for class signal.example.example

F

fact(int) - Static method in class signal.lib.utility

Returns the factorial of an integer.

fbed1data - class signal.example.fbed1data.

Homogeneous Fluidized bed shock/rarefaction problem at t=0.5 on [-0.2,0.2].

fbed1data() - Constructor for class signal.example.fbed1data

fbed2data - class signal.example.fbed2data.

Homogeneous Fluidized bed shock/shock problem at t=0.5 on [-0.2,0.2].

fbed2data() - Constructor for class signal.example.fbed2data

fbednhdata05 - class signal.example.fbednhdata05.

Fluidized bed slugging problem at t=0.5 on [0,0.25].

fbednhdata05() - Constructor for class signal.example.fbednhdata05

fbednhdata40 - class signal.example.fbednhdata40.

Fluidized bed slugging problem at t=0.5 on [0,0.25].

fbednhdata40() - Constructor for class signal.example.fbednhdata40

findEdges(double[], double, int, double[], double[], Vector, int) - Static method in class signal.lib.edgeDetect

Given a function u, critical threshold JCRIT, and enhancement exponent Q, and a neighborhood parameter NE, the method returns the edge series uE, the nonlinear enhancement uNLE, a Vector d containing the edge locations.

findEdges(double[], double, int, double[], double[], Vector, int, double, double, double[]) - Static method in class signal.lib.edgeDetectAB

G

gamma(double) - Static method in class signal.lib.utility

Returns the Gamma function of a double.

gegenbauerPolynomial - class signal.lib.gegenbauerPolynomial.

The gegenbauerPolynomial class calculates the Gegenbauer (Ultraspherical) Polynomial of degree (L,m).

gegenbauerPolynomial() - Constructor for class signal.lib.gegenbauerPolynomial

gegenbauerReconstruction - class signal.lib.gegenbauerReconstruction.

Applies the Gegenbauer Reconstruction Procedure (GRP).

gegenbauerReconstruction() - Constructor for class signal.lib.gegenbauerReconstruction

gegenbauerReconstructionB - class signal.lib.gegenbauerReconstructionB.

Applies the Gegenbauer Reconstruction Procedure (GRP).

gegenbauerReconstructionB() - Constructor for class signal.lib.gegenbauerReconstructionB

gegenPoly(int, double, double) - Static method in class signal.lib.gegenbauerPolynomial

Three term recurrence relation.

H

h(int, double) - Static method in class signal.lib.gegenbauerPolynomial

Normalization Factor.

hasExact - Variable in class signal.example.swData

hasExact - Variable in class signal.example.fbed2data

hasExact - Variable in class signal.example.eulerData

hasExact - Variable in class signal.example.fbednhdata40

hasExact - Variable in class signal.example.rEulerData

hasExact - Variable in class signal.example.hh2data

hasExact - Variable in class signal.example.fbednhdata05

hasExact - Variable in class signal.example.fbed1data

hasExact - Variable in class signal.example.hh3data

hasExact - Variable in class signal.example.example

hh2data - class signal.example.hh2data.

Hyperbolic Heat Transfer, S=0

hh2data() - Constructor for class signal.example.hh2data

hh3data - class signal.example.hh3data.

Hyperbolic Heat Transfer, S!=0

hh3data() - Constructor for class signal.example.hh3data

hybrid - class signal.lib.hybrid.

The hyprid class contains one public method postProcess() which applies the Gegenbauer Reconstruction Procedure (GRP) in regions (d-EPS,d+EPS) and an exponential filter exp(-alpha([k/N]^gamma)) at points which fall outside these intervals.

hybrid() - Constructor for class signal.lib.hybrid

hybridB - class signal.lib.hybridB.

Same functionality as the hybrid class except that the parameters m, L, and EPS may be specified independently in each subinterval (local approach).

hybridB() - Constructor for class signal.lib.hybridB

I

init() - Method in class pp

K

km(int, double) - Static method in class signal.lib.gegenbauerPolynomial

Christoffel-Darboux formula.

M

main(String[]) - Static method in class pp

map - Variable in class signal.example.swData

map - Variable in class signal.example.fbed2data

map - Variable in class signal.example.eulerData

map - Variable in class signal.example.fbednhdata40

map - Variable in class signal.example.rEulerData

map - Variable in class signal.example.hh2data

map - Variable in class signal.example.fbednhdata05

map - Variable in class signal.example.fbed1data

map - Variable in class signal.example.hh3data

map - Variable in class signal.example.example

N

N - Variable in class signal.example.swData

N - Variable in class signal.example.fbed2data

N - Variable in class signal.example.eulerData

N - Variable in class signal.example.fbednhdata40

N - Variable in class signal.example.rEulerData

N - Variable in class signal.example.hh2data

N - Variable in class signal.example.fbednhdata05

N - Variable in class signal.example.fbed1data

N - Variable in class signal.example.hh3data

N - Variable in class signal.example.example

P

postProcess(double[], double[], double[], Vector, Vector) - Static method in class signal.lib.gegenbauerReconstructionB

postProcess(double[], double[], double[], Vector, Vector, Vector, double, double) - Static method in class signal.lib.hybridB

postProcess(double[], double[], double, double, double[], Vector, Vector) - Static method in class signal.lib.gegenbauerReconstruction

postProcess(double[], double[], double, double, double[], Vector, Vector, double, double, double) - Static method in class signal.lib.hybrid

pp - class pp.

pp() - Constructor for class pp

R

rEulerData - class signal.example.rEulerData.

Reactive Eulter Equations on [-1,1] at t=0.5.

rEulerData() - Constructor for class signal.example.rEulerData

S

signal.example - package signal.example

signal.lib - package signal.lib

swData - class signal.example.swData.

Shallow Water Equations on [-1,1]

swData() - Constructor for class signal.example.swData

T

T(double, double) - Static method in class signal.lib.chebyshevPolynomial

Returns the Chebyshev Polynomial of degree N

toFromCheby(double[], double[], int, int) - Static method in class signal.lib.utility

Performs a discrete Chebyshev Transform of a vector of any length N.

Tp(double, double) - Static method in class signal.lib.chebyshevPolynomial

Returns the derivative of the Chebyshev Polynomial of degree N

transpose(double[][], double[][]) - Static method in class signal.lib.utility

twoD - Variable in class signal.example.swData

twoD - Variable in class signal.example.fbed2data

twoD - Variable in class signal.example.rEulerData

twoD - Variable in class signal.example.fbed1data

twoD - Variable in class signal.example.example

tx(double, double, double) - Static method in class signal.lib.gegenbauerPolynomial

Maps [a,b] to [-1,1].

U

uMax - Variable in class signal.example.swData

uMax - Variable in class signal.example.fbed2data

uMax - Variable in class signal.example.eulerData

uMax - Variable in class signal.example.fbednhdata40

uMax - Variable in class signal.example.rEulerData

uMax - Variable in class signal.example.hh2data

uMax - Variable in class signal.example.fbednhdata05

uMax - Variable in class signal.example.fbed1data

uMax - Variable in class signal.example.hh3data

uMax - Variable in class signal.example.example

uMin - Variable in class signal.example.swData

uMin - Variable in class signal.example.fbed2data

uMin - Variable in class signal.example.eulerData

uMin - Variable in class signal.example.fbednhdata40

uMin - Variable in class signal.example.rEulerData

uMin - Variable in class signal.example.hh2data

uMin - Variable in class signal.example.fbednhdata05

uMin - Variable in class signal.example.fbed1data

uMin - Variable in class signal.example.hh3data

uMin - Variable in class signal.example.example

utility - class signal.lib.utility.

Implements miscellaneous methods not appropriate for any other class.

utility() - Constructor for class signal.lib.utility

X

xGL(int, int) - Static method in class signal.lib.chebyshevPolynomial

Returns CGL points in the order order order -1,...,1

xGLr(int, int) - Static method in class signal.lib.chebyshevPolynomial

Returns CGL points in the order order 1,...,-1

A B C D E F G H I K M N P R S T U X