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ArciMath BigDecimal
Fast and improved BigDecimal class. [Commercial/Free]

AutoAbacus
An equation solving library that finds solutions to equation sets. A set of equations can be passed in as text, while AutoAbacus attempts to find a solution that satisfies all constraints. [Commercial, trial version]

Colt
High performance scientific and technical computing data structures and methods. (Open Source, Attribution)

Decimal Arithmetic for Java
Improved BigDecimal class from IBM. [Open source]

FPLib
A small Java class that implements methods to perform arithmetic operations on 16:16 fixed-point numbers. [Open source, MIT license]

Java Numerics
Working group that offers presentation, news, and libraries related to numerical computing.

JeksParser
Parses and computes expressions or functions primarily for use in spreadsheet applications such as the example provided. [Beta Evaluation]

JEP - Java Mathematical Expression Parser
Java classes for parsing and evaluating mathematical expressions. Supports multiple variables and user-defined functions. [Open source, GPL or commercial]

JEPLite
A light-weighted (re)implementation of the Java Expression Parser (jep.sourceforge.net). The intention is to strip some of its not-so-often-used features, and thus speeding the rest. Includes expression optimizer. [Open source, GPL]

JFormula
A Java library for evaluating mathematical expression. It is compatible with the JDK 1.1 and later. [Shareware]

JGraphT
A class library that provides mathematical graph-theory objects and algorithms. JGraphT supports a rich gallery of graphs and is designed to be powerful, extensible and easy to use. [Open source, LGPL]

JMathTools
A mathematical Java toolbox designed to be easily used and modified for scientific software engineering. [Open source, BSD License]

JMatLink
Connects Java and MATLAB. Native methods make it possible to use MATLAB's computational engine inside your own java applications, applets and servlets. [Freeware, source available]

JMP - Sparse matrix library
A library for sparse matrix computations. Includes a sparse BLAS, many iterative solvers for different problems, sparse matrix I/O and parallelization. [Open source, GPL]

JSpline+
For spline approximation, core matrix operations, and linear system solutions. [Commercial w/demo]

Mantissa (Mathematical Algorithms for Numerical Tasks In Space System Applications)
A class library devoted to simulation, including a comprehensive ODE solving package, as well as least square estimators, solvers, polynomials, basic statistics features. [Open source, BSD-like]

Math Parser
Package to parse and evaluate mathematical expressions at runtime. [Commercial]

Mathematical expression parser library for Java [GPL]
Library to parse mathematical expressions like x^2+sin(x)-root(1/3*x). The following mathematical operations are supported: + - * / ( ) ^ root log sin cos tan asin acos atan. [Open source, GPL]

Mersenne Twister Pseudo Random Number Generator Classes
Offers multiple replacement implementations for java.util.Random. [Open Source]

Significant Figures
Handles parsing, rounding, and displaying numbers for scientific applications.

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