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This book presents lecture notes from the XVI§'Jacques-Louis Lions' Spanish-French School on Numerical Simulation in Physics§and Engineering, held in Pamplona (Navarra, Spain) in September 2014. The subjects covered include: numerical analysis of§isogeometric methods, convolution quadrature for wave simulations, mathematical§methods in image processing and computer vision, modeling and optimization§techniques in food processes, bio-processes and bio-systems, and GPU computing§for numerical simulation. The book is highly recommended to graduate students in§Engineering or Science who want to focus on numerical simulation, either as a§research topic or in the field of industrial applications. It can also benefit§senior researchers and technicians working in industry who are interested in§the use of state-of-the-art numerical techniques in the fields addressed here.§Moreover, the book can be used as a textbook for master courses in Mathematics,§Physics, or Engineering.§§