## Computational Mathematics Driven by Industrial Problems: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 21-27, 1999These lecture notes by very authoritative scientists survey recent advances of mathematics driven by industrial application showing not only how mathematics is applied to industry but also how mathematics has drawn benefit from interaction with real-word problems. The famous David Report underlines that innovative high technology depends crucially for its development on innovation in mathematics. The speakers include three recent presidents of ECMI, one of ECCOMAS (in Europe) and the president of SIAM. |

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adaptive adjoint equation aerodynamic airfoil algorithm analysis applied approximation basis boundary conditions complexity computational configuration control problem convergence corresponding cost function crystal defined denotes design point Deuflhard discrete domain drag reduction dynamical edge eigenvalue example Figure filter bank finite element flow equations forcing Fourier frequency Galerkin methods gradient graph greedy algorithm grid highpass ill-posed problems initial input integral Inverse Problems inviscid iteration J.L. LIONS Kruskal's algorithm length lift coefficient linear Mach mathematical matrix mesh MG methods minimization minimum spanning tree multigrid multilevel multiplicative Navier-Stokes equations node nonlinear nucleation obtained operator optimal control orthogonal output parameter partial differential equation phase polymers polynomial produce radiative reduced Reynolds number samples Section shortest path signal simulations sinusoidal slots smooth solution solve space span station Steiner tree subspace symmetric temperature theory Tikhonov regularization transform variables variation vector viscous vortex wavelet wing zero