Index

A B C E F G H I K L M N P R S T X Y
All Classes and Interfaces|All Packages

A

AbstractEquationSolver<E> - Class in by.andd3dfx.math.pde.solver

Abstract base class for partial differential equation solvers.

AbstractEquationSolver() - Constructor for class by.andd3dfx.math.pde.solver.AbstractEquationSolver

AbstractEquationSolver.KappaNu - Record Class in by.andd3dfx.math.pde.solver

Record class to store boundary condition parameters for the tridiagonal algorithm.

area() - Method in record class by.andd3dfx.math.pde.solver.Solution

Returns the value of the area record component.

Area - Record Class in by.andd3dfx.math.space

Represents a two-dimensional space-time domain for partial differential equations.

Area(Interval, Interval) - Constructor for record class by.andd3dfx.math.space.Area

Creates an instance of a Area record class.

B

BorderCondition - Interface in by.andd3dfx.math.pde.border

Base interface for boundary conditions in partial differential equations.

BorderConditionType1 - Class in by.andd3dfx.math.pde.border

Represents a Dirichlet boundary condition (Type 1) for partial differential equations.

BorderConditionType1() - Constructor for class by.andd3dfx.math.pde.border.BorderConditionType1

BorderConditionType2 - Class in by.andd3dfx.math.pde.border

Represents a Neumann boundary condition (Type 2) for partial differential equations.

BorderConditionType2() - Constructor for class by.andd3dfx.math.pde.border.BorderConditionType2

BorderConditionType3 - Class in by.andd3dfx.math.pde.border

Represents a Robin boundary condition (Type 3) for partial differential equations.

BorderConditionType3() - Constructor for class by.andd3dfx.math.pde.border.BorderConditionType3

buildArea(Equation, double, double) - Method in class by.andd3dfx.math.pde.solver.AbstractEquationSolver

Builds a space-time computational domain for the equation solution.

by.andd3dfx.math.matrix - package by.andd3dfx.math.matrix

by.andd3dfx.math.pde.border - package by.andd3dfx.math.pde.border

by.andd3dfx.math.pde.equation - package by.andd3dfx.math.pde.equation

by.andd3dfx.math.pde.solver - package by.andd3dfx.math.pde.solver

by.andd3dfx.math.space - package by.andd3dfx.math.space

by.andd3dfx.util - package by.andd3dfx.util

C

calcKappaNu(BorderCondition, double, double) - Method in class by.andd3dfx.math.pde.solver.AbstractEquationSolver

Calculates Kappa and Nu parameters for the tridiagonal algorithm based on boundary conditions.

E

equals(Object) - Method in record class by.andd3dfx.math.pde.solver.AbstractEquationSolver.KappaNu

Indicates whether some other object is "equal to" this one.

equals(Object) - Method in record class by.andd3dfx.math.pde.solver.Solution

Indicates whether some other object is "equal to" this one.

equals(Object) - Method in record class by.andd3dfx.math.space.Area

Indicates whether some other object is "equal to" this one.

equation() - Method in record class by.andd3dfx.math.pde.solver.Solution

Returns the value of the equation record component.

Equation - Class in by.andd3dfx.math.pde.equation

Abstract base class representing a second-order partial differential equation.

Equation(double, double, double, BorderCondition, BorderCondition) - Constructor for class by.andd3dfx.math.pde.equation.Equation

Creates a new partial differential equation with specified domain and boundary conditions.

EquationSolver<E> - Interface in by.andd3dfx.math.pde.solver

Interface for numerical solvers of partial differential equations.

F

FileUtil - Class in by.andd3dfx.util

Util to serialize data into files

FileUtil() - Constructor for class by.andd3dfx.util.FileUtil

fill(double) - Method in class by.andd3dfx.math.matrix.Matrix2D

Fills all elements of the matrix with the specified value.

G

gdU_dt0(double) - Method in class by.andd3dfx.math.pde.equation.HyperbolicEquation

Returns the initial condition for the time derivative ∂U/∂t at time t = 0.

gdU_dx(double) - Method in class by.andd3dfx.math.pde.border.BorderConditionType2

Returns the prescribed value of the spatial derivative at the boundary at time t.

get(int, int) - Method in class by.andd3dfx.math.matrix.Matrix2D

Returns the value at the specified matrix position (i,j).

getRow(int) - Method in class by.andd3dfx.math.matrix.Matrix2D

Returns a copy of the specified row as an array.

gF(double, double, double) - Method in class by.andd3dfx.math.pde.equation.Equation

Returns the source term F(x,t,U) of the equation.

gH() - Method in class by.andd3dfx.math.pde.border.BorderConditionType3

Returns the coefficient h in the Robin boundary condition.

gK(double, double, double) - Method in class by.andd3dfx.math.pde.equation.Equation

Returns the coefficient K(x,t,U) of the second-order space derivative term.

gL(double, double, double) - Method in class by.andd3dfx.math.pde.equation.Equation

Returns the coefficient L(x,t,U) of the first-order time derivative term.

gL(double, double, double) - Method in class by.andd3dfx.math.pde.equation.ParabolicEquation

Returns the coefficient L(x,t,U) of the first-order time derivative term.

gM(double, double, double) - Method in class by.andd3dfx.math.pde.equation.Equation

Returns the coefficient M(x,t,U) of the second-order time derivative term.

gM(double, double, double) - Method in class by.andd3dfx.math.pde.equation.HyperbolicEquation

Returns the coefficient M(x,t,U) of the second-order time derivative term.

gTheta(double) - Method in class by.andd3dfx.math.pde.border.BorderConditionType3

Returns the prescribed reference value Θ(t) at time t.

gU(double) - Method in class by.andd3dfx.math.pde.border.BorderConditionType1

Returns the prescribed value of the solution at the boundary at time t.

gU0(double) - Method in class by.andd3dfx.math.pde.equation.Equation

Returns the initial condition U(x) at time t = 0.

gUt(double) - Method in record class by.andd3dfx.math.pde.solver.Solution

Retrieves a spatial slice of the solution at a specified time moment.

gUt(int) - Method in record class by.andd3dfx.math.pde.solver.Solution

Retrieves a spatial slice of the solution at a specified time layer index.

gUx(double) - Method in record class by.andd3dfx.math.pde.solver.Solution

Retrieves a temporal slice of the solution at a specified spatial coordinate.

gUx(int) - Method in record class by.andd3dfx.math.pde.solver.Solution

Retrieves a temporal slice of the solution at a specified spatial column index.

gV(double, double, double) - Method in class by.andd3dfx.math.pde.equation.Equation

Returns the coefficient V(x,t,U) of the first-order space derivative term.

H

h() - Method in class by.andd3dfx.math.space.Interval

Returns the step size between points in the interval.

hashCode() - Method in record class by.andd3dfx.math.pde.solver.AbstractEquationSolver.KappaNu

Returns a hash code value for this object.

hashCode() - Method in record class by.andd3dfx.math.pde.solver.Solution

Returns a hash code value for this object.

hashCode() - Method in record class by.andd3dfx.math.space.Area

Returns a hash code value for this object.

HyperbolicEquation - Class in by.andd3dfx.math.pde.equation

Represents a hyperbolic partial differential equation, which typically describes wave propagation and oscillation processes.

HyperbolicEquation(double, double, double, BorderCondition, BorderCondition) - Constructor for class by.andd3dfx.math.pde.equation.HyperbolicEquation

Creates a new hyperbolic partial differential equation with specified domain and boundary conditions.

HyperbolicEquationSolver - Class in by.andd3dfx.math.pde.solver

Solver for hyperbolic partial differential equations.

HyperbolicEquationSolver() - Constructor for class by.andd3dfx.math.pde.solver.HyperbolicEquationSolver

I

i(double) - Method in class by.andd3dfx.math.space.Interval

Returns the index of the point closest to the specified coordinate.

Interval - Class in by.andd3dfx.math.space

Represents a one-dimensional interval with uniform discretization.

Interval() - Constructor for class by.andd3dfx.math.space.Interval

Creates a default interval [0,1] with a single step.

Interval(double, double, double) - Constructor for class by.andd3dfx.math.space.Interval

Creates an interval [left,right] with a specified step size.

Interval(double, double, int) - Constructor for class by.andd3dfx.math.space.Interval

Creates an interval [left,right] with a specified number of points.

K

kappa() - Method in record class by.andd3dfx.math.pde.solver.AbstractEquationSolver.KappaNu

Returns the value of the kappa record component.

KappaNu(double, double) - Constructor for record class by.andd3dfx.math.pde.solver.AbstractEquationSolver.KappaNu

Creates an instance of a KappaNu record class.

L

left() - Method in class by.andd3dfx.math.space.Interval

Returns the left boundary of the interval.

M

Matrix2D - Class in by.andd3dfx.math.matrix

Represents a two-dimensional matrix of real numbers with fixed dimensions.

Matrix2D(int, int) - Constructor for class by.andd3dfx.math.matrix.Matrix2D

Creates a new matrix with specified dimensions, initialized with zeros.

MatrixXY - Class in by.andd3dfx.math.matrix

A specialized matrix for storing pairs of (x,y) coordinates.

MatrixXY(int) - Constructor for class by.andd3dfx.math.matrix.MatrixXY

Creates a new matrix for storing N coordinate pairs.

max() - Method in class by.andd3dfx.math.matrix.Matrix2D

Returns the maximum value stored in the matrix.

min() - Method in class by.andd3dfx.math.matrix.Matrix2D

Returns the minimum value stored in the matrix.

N

n() - Method in class by.andd3dfx.math.space.Interval

Returns the number of points in the interval.

nu() - Method in record class by.andd3dfx.math.pde.solver.AbstractEquationSolver.KappaNu

Returns the value of the nu record component.

P

ParabolicEquation - Class in by.andd3dfx.math.pde.equation

Represents a parabolic partial differential equation, which typically describes heat conduction or mass diffusion processes.

ParabolicEquation(double, double, double, BorderCondition, BorderCondition) - Constructor for class by.andd3dfx.math.pde.equation.ParabolicEquation

Creates a new parabolic partial differential equation with specified domain and boundary conditions.

ParabolicEquationSolver - Class in by.andd3dfx.math.pde.solver

Solver for parabolic partial differential equations.

ParabolicEquationSolver() - Constructor for class by.andd3dfx.math.pde.solver.ParabolicEquationSolver

prepare(Equation, Area) - Method in class by.andd3dfx.math.pde.solver.AbstractEquationSolver

Initializes the solution matrix with initial conditions.

R

reborn(double) - Method in class by.andd3dfx.math.space.Interval

Recreates the interval with a new step size while maintaining the same boundaries.

reborn(int) - Method in class by.andd3dfx.math.space.Interval

Recreates the interval with a new number of points while maintaining the same boundaries.

right() - Method in class by.andd3dfx.math.space.Interval

Returns the right boundary of the interval.

S

save(Matrix2D, String, boolean) - Static method in class by.andd3dfx.util.FileUtil

Save matrix into file

saveFunc(Interval, Function<Double, Double>, String) - Static method in class by.andd3dfx.util.FileUtil

Save function y(x) on given interval into file

saveFunc(Interval, Function<Double, Double>, Function<Double, Double>, String) - Static method in class by.andd3dfx.util.FileUtil

Save function y(x) on given time interval into file for parameterized functions x(t) and y(t)

serialize(StringBuilder, String) - Static method in class by.andd3dfx.util.FileUtil

Save text data from StringBuilder instance into file

set(int, int, double) - Method in class by.andd3dfx.math.matrix.Matrix2D

Sets a value at the specified matrix position (i,j).

setRow(int, double[]) - Method in class by.andd3dfx.math.matrix.Matrix2D

Sets an entire row of the matrix using the provided array.

setX(int, double) - Method in class by.andd3dfx.math.matrix.MatrixXY

Sets the x-coordinate at the specified index.

setY(int, double) - Method in class by.andd3dfx.math.matrix.MatrixXY

Sets the y-coordinate at the specified index.

solution() - Method in record class by.andd3dfx.math.pde.solver.Solution

Returns the value of the solution record component.

Solution<E> - Record Class in by.andd3dfx.math.pde.solver

Record class representing a numerical solution of a partial differential equation on a defined space-time domain.

Solution(E, Area, Matrix2D) - Constructor for record class by.andd3dfx.math.pde.solver.Solution

Creates an instance of a Solution record class.

solve(HyperbolicEquation, double, double) - Method in class by.andd3dfx.math.pde.solver.HyperbolicEquationSolver

Solves hyperbolic partial differential equation using numerical method.

solve(ParabolicEquation, double, double) - Method in class by.andd3dfx.math.pde.solver.ParabolicEquationSolver

Solves parabolic partial differential equation using numerical method.

solve(E, double, double) - Method in interface by.andd3dfx.math.pde.solver.EquationSolver

Solves a partial differential equation using numerical methods.

solve3DiagonalEquationsSystem(double[], double[], double[], double[], AbstractEquationSolver.KappaNu, AbstractEquationSolver.KappaNu) - Static method in class by.andd3dfx.math.pde.solver.AbstractEquationSolver

Solves a tridiagonal system of linear algebraic equations using the Thomas algorithm.

sUt(String, double) - Method in record class by.andd3dfx.math.pde.solver.Solution

Saves solution data U(x) for a single time moment to a file.

sUt(String, double[]) - Method in record class by.andd3dfx.math.pde.solver.Solution

Saves solution data U(x,t) for specified time moments to a file.

sUx(String, double) - Method in record class by.andd3dfx.math.pde.solver.Solution

Saves solution data U(t) for a single spatial coordinate to a file.

sUx(String, double[]) - Method in record class by.andd3dfx.math.pde.solver.Solution

Saves solution data U(x,t) for specified spatial coordinates to a file.

swapCols(int, int) - Method in class by.andd3dfx.math.matrix.Matrix2D

Swaps two columns of the matrix.

swapRows(int, int) - Method in class by.andd3dfx.math.matrix.Matrix2D

Swaps two rows of the matrix.

T

t() - Method in record class by.andd3dfx.math.space.Area

Returns the value of the t record component.

ti(double) - Method in record class by.andd3dfx.math.space.Area

Returns the temporal index closest to the specified time value.

tLeft() - Method in record class by.andd3dfx.math.space.Area

Returns the left boundary of the temporal domain.

tn() - Method in record class by.andd3dfx.math.space.Area

Returns the number of points in the temporal domain.

toString() - Method in record class by.andd3dfx.math.pde.solver.AbstractEquationSolver.KappaNu

Returns a string representation of this record class.

toString() - Method in record class by.andd3dfx.math.pde.solver.Solution

Returns a string representation of this record class.

toString() - Method in record class by.andd3dfx.math.space.Area

Returns a string representation of this record class.

tRight() - Method in record class by.andd3dfx.math.space.Area

Returns the right boundary of the temporal domain.

tx(int) - Method in record class by.andd3dfx.math.space.Area

Returns the time value at the specified temporal index.

X

x() - Method in record class by.andd3dfx.math.space.Area

Returns the value of the x record component.

x(int) - Method in class by.andd3dfx.math.matrix.MatrixXY

Returns the x-coordinate at the specified index.

x(int) - Method in class by.andd3dfx.math.space.Interval

Returns the coordinate value at the specified index.

xi(double) - Method in record class by.andd3dfx.math.space.Area

Returns the spatial index closest to the specified coordinate.

xLeft() - Method in record class by.andd3dfx.math.space.Area

Returns the left boundary of the spatial domain.

xn() - Method in record class by.andd3dfx.math.space.Area

Returns the number of points in the spatial domain.

xRight() - Method in record class by.andd3dfx.math.space.Area

Returns the right boundary of the spatial domain.

xx(int) - Method in record class by.andd3dfx.math.space.Area

Returns the spatial coordinate at the specified spatial index.

Y

y(int) - Method in class by.andd3dfx.math.matrix.MatrixXY

Returns the y-coordinate at the specified index.

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