Recently, when we study higher-dimensional algebraic varieties, and especially moduli spaces of such varieties, the computational investigation and numerical analysis of these objects become increasingly important. For instance, computers are useful when we examine GIT compactifications of moduli spaces of projective hypersurfaces, or when analyzing isolated singularities of these hypersurfaces numerically. In dealing with higher-dimensional hypersurfaces, computing numerical invariants or analyzing isolated singular points directly via Groebner bases can become computationally infeasible. However, alternative computational methods and numerical techniques are available for overcoming such difficulties.