Package org.opensourcephysics.numerics

Interface Summary

Interface	Description
Function	Title: Function Description: A function of one variable.
InvertibleFunction	Title: InvertibleFunction Description: An invertible function of one variable.
MatrixTransformation	MatrixTransformation maps coordinates from one coordinate system to another using a matrix.
MultiVarFunction	Title: Function Description: A function of multiple variables.
ODE	ODE defines a system of differential equations by providing access to the rate equations.
ODEAdaptiveSolver	ODEAdaptiveSolver extends the ODE solver to add adaptive step size capabilities.
ODEEventSolver	ODEEventSolver is an interface for a Solver for ODE which accepts and deals with StateEvents
ODEInterpolationSolver
ODESolver	ODE defines a minimal differential equation solver.
StateEvent	StateEvent defines an event consisting in that a given numeric value changes sign from positive to negative.
Transformation	Transformation maps coordinates from one coordinate system to another.
VectorFunction	VectorFunction defines a function of multiple variables that returns a resultant vector.

Class Summary

Class	Description
AbstractODESolver	AbstractODE provides a common superclass for ODESolvers.
Adams4	Title: Adams4 Description: A fourth order Predictor-Corrector ODE solver.
Adams5	Title: Adams5 Description: A fifth order Predictor-Corrector (PECE) ODE solver.
Adams6	Title: Adams6 Description: A sixth order Predictor-Corrector ODE solver.
ArrayLib	Library of supplementary array routines not supported by the java.util.Arrays class.
Butcher5	Butcher5 implements a fifth order Runge-Kutta ODE solver using an algorithm developed by Butcher.
CashKarp45	CashKarp45 implements a RKF 4/5 ODE solver with variable step size using Cash-Karp coefficients.
Complex	Class description
ComplexEigenvalueDecomposition	A Java Complex Eigenvalue Decomposition based on an Ada version of a NAG Fortran library subroutine.
ComplexMatrix	Class description
CubicSpline	Class description
CurveFitting	Class CurveFitting defines various curve fitting algorithms inluding linear regression.
Derivative	Derivative defines various derivative algorithms.
DormandPrince45	DormandPrince45 implements a RKF 4/5 ODE solver with variable step size using Dormand-Prince coefficients.
DoubleArray	DoubleArray stores an array of doubles as a string and as an array.
EigenvalueDecomposition	Eigenvalues and eigenvectors of a real matrix.
Euler	Euler implements an Euler method ODE solver.
EulerRichardson	An Euler-Richardson (midpoint) method ODE solver.
Fehlberg8	Title: Fehlberg8 Description: An eigth order Runge-Kutta ODE solver.
FFT	FFT computes FFT's of complex, double precision data of arbitrary length n.
FFT2D	FFT2D computes the FFT of 2 dimensional complex, double precision data.
FFTReal	FFTReal computes the discrete Fourier coefficients a[0], ...., a[N/2] and b[1], ...., b[N/2 - 1] of the discrete partial Fourier sum a[0] + a[1]*cos(N/2*omega*x) + Sum (k=1,2,...,N/2-1) (a[2*k] * cos(k * omega * x) + a[2*k+1] * sin(k * omega * x)) given real functional values y[0], ...., y[N-1].
FunctionTransform	Class description
HessianMinimize	Class description
Heun3	Heun3 implements Heun's third order algorithm for solving ODEs by evaluating the rate at the initial state, and two intermediate states.
IntegerArray	IntegerArray stores an array of doubles as a string and as an array.
Integral	Class Integral defines various integration algorithms.
Interpolation	Class Interpolation defines simple interpolation algorithms.
LagrangeInterpolator	LagrangeInterpolator uses a polynomial interpolation formula to evaluate values between data points.
LeapFrog	LeapFrog method ODE solver.
Legendre	Legendre defines Legendre Polynomials based on of Alan Jeffrey's Handbook of Mathematical Formulas an Integrals.
LevenbergMarquardt	LevenbergMarquardt performs a minimization of a nonlinear multivariable function using the Levenberg-Marquardt algorithm.
LogBase10Function	Class description
LUPDecomposition	Lower Upper Permutation (LUP) decomposition See Object Oriented Implementation of Numerical Methods by Didier H.
MathExpParser	MathExpParser defines an abstract super class for mathematical expression parsers.
Matrix2DTransformation	Matrix2DTransformation implements 2D affine transformations
Matrix2DTransformation.Matrix2DTransformationLoader
Matrix3DTransformation	Matrix3DTransformation implements 3D affine transformations using a matrix representation.
Matrix3DTransformation.Affine3DTransformationLoader
NumericsLog	Logs numerics messages to the OSPLog using reflection.
ODEBisectionEventSolver	ODEBisectionEventSolver is an ODEEventSolver that uses the bisection method for root finding.
ODEMultistepSolver	ODEMultistepSolver performs multiple ODE steps so that a uniform step size is maintained.
ODESolverFactory	A factory class that creates an ODESolver using a name.
ParsedFunction	ParsedFunction defines a function of a single varianble using a String.
ParsedMultiVarFunction	ParsedMultiVarFunction defines a function of multiple variables using a String.
PBC	Implements methods to support periodic boundary condtions.
Polynomial	Polynomial implements a mathematical polynomial: c[0] + c[1] * x + c[2] * x^2 + ....
PolynomialLeastSquareFit	Polynomial least square fit without any error estimation.
Quaternion	Quaternion models a unit quaternion and implements quaternion arithmetic.
Quaternion.QuaternionLoader
Ralston2	Ralston2 implements Ralston's algorithm for solving ODEs by evaluating the rate at the initial state, estimating the rate for the final state, and using a weighted average of these two rates to advance the state.
RK4	Title: RK4 Description: A fourth order Runge-Kutta ODE solver.
RK45	RK45 implements an Runge-Kutta 4/5 ODE solver with variable step size.
RK45MultiStep	Title: RK45MultiStep Description: Perform multiple RK4/5 ODE steps so that a uniform step size is maintained
Root	Class Root defines various root finding algorithms.
SuryonoParser	The class Parser is a mathematical expression parser.
Util	A utility class for numerical analysis.
Vec3D	A 3-element vector that is represented by double-precision floating point x,y,z coordinates.
VectorMath	VectorMath is a utility class for vector math.
Verlet	Verlet: A velocity Verlet method ODE solver.

Exception Summary

Exception	Description
NumericMethodException	Indicates that an error occured in a numeric method.
ODESolverException	Signals that a numerical error occured within an ODE solver.
ParserException	Indicates that an error occurred in parser operation, and the operation could not be completed.