Decimal Arithmetic for Java - http://www2.hursley.ibm.com/decimalj/ Improved BigDecimal class from IBM. [Open source]
Math Parser - http://www.bestcode.com/html/jbcparser.html Package to parse and evaluate mathematical expressions at runtime. [Commercial]
Java Numerics - http://math.nist.gov/javanumerics/ Working group that offers presentation, news, and libraries related to numerical computing.
JeksParser - http://www.eteks.com/jeks/en/ Parses and computes expressions or functions primarily for use in spreadsheet applications such as the example provided. [Beta Evaluation]
AutoAbacus - http://www.singularsys.com/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]
JEP - Java Mathematical Expression Parser - http://www.singularsys.com/jep/ Java classes for parsing and evaluating mathematical expressions. Supports multiple variables and user-defined functions. [Open source, GPL or commercial]
Significant Figures - http://ostermiller.org/utils/SignificantFigures.html Handles parsing, rounding, and displaying numbers for scientific applications.
JGraphT - http://jgrapht.sourceforge.net/ 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 - http://jmathtools.sourceforge.net A mathematical Java toolbox designed to be easily used and modified for scientific software engineering. [Open source, BSD License]
JEPLite - http://jeplite.sourceforge.net/ 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]
FPLib - http://www.geocities.com/andre_leiradella/#fplib A small Java class that implements methods to perform arithmetic operations on 16:16 fixed-point numbers. [Open source, MIT license]
Colt - http://dsd.lbl.gov/~hoschek/colt/ High performance scientific and technical computing data structures and methods. (Open Source, Attribution)
JFormula - http://www.japisoft.com/ A Java library for evaluating mathematical expression. It is compatible with the JDK 1.1 and later. [Shareware]
ArciMath BigDecimal - http://users.belgacombusiness.net/arci/math/ Fast and improved BigDecimal class. [Commercial/Free]
JMP - Sparse matrix library - http://rs.cipr.uib.no/mtj/ 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]
JMatLink - http://www.held-mueller.de/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]
Mathematical expression parser library for Java [GPL] - http://oglimmer.de/java/mathematical_expression_parser.php 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]
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