The Industrial Society is characterized by Automation of Production (Ford prod. line).
The Information Society is characterized by Automation of Computation (computer).
Modern Society being a combination of Industrial Society and Information Society, is characterized by Automation of Production and Computation.
Key elements of Computational Mathematical Modeling:
Automation of discretization: Galerkin methods (finite elements)
Automation of meshing: mesh-adaptivity to fit specific solution
Automation of optimization: solution-adaptivity to fit opt. criteria
Automation of pde-modeling: key open problem!