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Scientific Visualization

• Numerical methods: fast but unreliable.
  • Qualitatively wrong results possible.
  • E.g: missing or non-existing critical points.
• Symbolic methods: reliable but slow.
  • Exponential in degree of polynomial.
  • Up to degree 5 or so.
• Hybrid symbolic-numerical methods: reliable and faster.
  • Still exponential complexity.
  • Up to degree 10 or so.

Parallel processing to investigate high-degree curves/surfaces.