Half of the GRAND CHALLENGE EQUATIONS (courtesy of San Diego Supercomputer Center) |
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1. | ¶tv + (v×Ñ)v = - (1/r)ÑP + Ñ2 v - ÑF | A. | Poisson Equation | ||||||||||||
2. | Ñ2u = ¶tu | B. | Discrete Fourier Transform | ||||||||||||
3. | - Ñ2 u + lu = f | C. | Helmholtz Equation | ||||||||||||
4. | [ ¶x ¶x F + ¶y ¶y F + ¶z ¶z F ] = 4p Gr | D. | Schroedinger Equation | ||||||||||||
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E. | Navier-Stokes Equation | ||||||||||||
6. | - [ h / ( 2pi ) ] ¶tY(r,t) = - [ h2 / ( 8p2m ) ] Ñ2 Y(r,t) + VY(r,t) | F. | Heat Equation |