Computer Algebra Packages

Topics

• (Non)Commutative Algebra & Algebraic Geometry
• Differential Equation Solvers & Tools
• Finite Element Analysis
• Group Theory
• High Energy Physics
• Number Theory
• Tensor Calculus

(Non)Commutative Algebra & Algebraic Geometry

• Albert
• Bergman
• CALI
• CASA
• CLICAL
• CLIFFORD
• CoCoA
• FELIX
• GANITH
• GB
• The Grassman package
• GRB
• GROEBNER (from RISC-Linz)
• GROEBNER (REDUCE package)
• IDEALS
• KAN
• Macaulay 2
• MAS
• NCALGEBRA
• SACLIB
• Singular
• WU

Differential Equation Solvers & Tools

• A review of ODE Solvers
• CONTENT: Dynamical System Software
• CRACK
• DELiA
• DESIR
• DIMSYM
• FIDE
• ODEtools (symmetry methods)
• liesymm
• ODESOLVE
• PDEtools package
• Phaser: an Animator/Simulator for Dynamical Systems for IBM PC's
• The Poincare package
• SPDE
• StandardForm
• SYM_DE

Finite Element Analysis

• PDEase
• SENAC

Group Theory

• ANU Software
• Cayley
• CHEVIE
• GAP
• LiE
• LIE (REDUCE package)
• Magma
• The Magnus system for exploring infinite groups
• Schur
• Symmetrica

Number Theory

• KANT
• LiDIA
• NTL

Tensor Calculus

• CARTAN
• Eins
• GRTensor
• MathTensor
• Redten
• Ricci
• Tensors in Macsyma (R)
• Tools of Tensor Calculus

High Energy Physics

See also the FreeHEP Software database.

• FeynArts
• Foam
• The Partials package
• Schoonschip
• Tracer