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Numerical Computation

  • Adaptive precision control to generate results with guaranteed precision.
  • High-performance compilation of list-oriented, procedural and functional numerical operations.
  • Optimized algorithms for one- and higher-dimensional interpolation.
  • Optimized algorithms for solution of differential equations.
  • Solution of boundary value ordinary differential equations, and initial value partial differential equations.
  • High-dimensional numerical integration.
  • Optimized minimization algorithms.
  • LU and Jordan decomposition of matrices.
  • Numerical differentiation.
  • Automatic comparison and manipulation of exact numeric quantities.
  • Support for exact implicitly-defined algebraic numbers.
  • Support for interval arithmetic.
  • Fully adjustable global numerical precision control model.
  • New capabilities for extracting segments of digits in exact and inexact numbers.
  • Machine-independent mechanisms for input and output of numbers without loss of precision.


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