User:Stewartadcock/Grand challenge equations

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The Grand Challenge Equations.

Arguably, these are the most important fundamental equations in science.

Discovery of efficient/exact methods for solving any of these equations would be expected to revolutionise their respective fields and the modern computational sciences.

  • Newton's Equations
Newton's equations describe the motion of bodies and are the basis of classical mechanics.
  • Schroedinger Equation (Time dependent)
Describe the quantum mechanical wavefunction, the basis of quantum chemistry.
  • Navier-Stokes Equation
  • Poisson Equation
  • Heat Equation
  • Helmhltz Equation
  • Discrete Fourier Transform
  • Maxwell's Equations
  • Partition Function
  • Population Dynamics
  • Combined First and Second Laws of Thermodynamics
  • Radiosity
  • Rational B-Spline