Classical application areas

 

• celestial mechanics

  • calculation of orbits, gravitational fields

  • Fourier, Poisson series

    
    
    

  • Delaunay's (1867) calculation of the orbit of the Moon took him 20 years (including physical effects like non-symmentry of the earth and influence of the Sun); recalculation on a small computer (1980) took 20 hours of CPU time; the check found only a few mistakes in his hand calculations in some of the high order terms

  • systems TRIGMAN (1970), CAMAL (1975)

• general theory of relativity

  • calculations with various metrics

  • systems CAMAL (1975), SHEEP (1977), general purpose systems

• quantum electro-dynamics

• high energy physics

  • interaction of particles, Dirac matrices, Feynman diagrams, calculation of integrals

  • systems REDUCE (1968), SCHOONSHIP (1971)