This text contains results of research on: numerical solutions of Schrodinger-type problems; sampling theorems; numerical methods for large-scale non-convex quadratic programming; derivative-free algorithms; free material optimization; Moreau's sweeping process and a perspective on contemporary industrial mathematics work. The book also includes wavelet-based digital watermarking techniques and computer simulation of meteorological parameters. One chapter of the book is also devoted to the importance of strange attractors for industrial mathematics.