Numerical Calabi-Yau metrics
  We develop numerical methods for approximating Ricci flat metrics on Calabi-Yau hypersurfaces in projective spaces. Our approach is based on finding balanced metrics, and builds on recent theoretical work by Donaldson. We illustrate our methods in detail for a one parameter family of quintics. We also suggest several ways to extend our results. 
Michael R. Douglas, Robert L. Karp, Sergio Lukic, Rene Reinbacher