This book presents a concise introduction to computational engineering by introducing a wide range of numerical methods. These methods include finite difference methods, finite volume methods, finite element methods, virtual bee algorithms, and cellular automata. It also covers some advanced topics such as heat transfer, reaction-diffusion system, optimisation, and pattern formation. The accompanied concise Matlab programs demonstrate how each numerical method works. This book can serve as an introductory textbook. Computational engineering has become the emerging interdisciplinary technology for modelling and design in engineering and science. It has become the third component, complementing the traditional theoretical and experimental approaches to problem-solving. This book strives to provide a simple guide, especially for undergraduates and graduates, to a wide range of numerical methods commonly used in computational modelling. Topics include the finite difference methods, elasticity, combustion, heat conduction, reaction-diffusion system, pattern formation, optimisation, cellular automata, consolidation, and fracture dynamics. The book also provides many simple and short computer programs to help the readers to understand the fundamental principles of computational engineering and to carry out their own modelling and simulations. The book can serve as a stepping stone to more advanced topics in scientific computing. About Author: Xin-She Yang received his D.Phil in applied mathematics from the University of Oxford. He is currently a research fellow at the University of Cambridge. Dr Yang has published extensively in various international journals, book chapters, and conference proceedings. His research interests include asymptotic analysis, bioinspired algorithms, combustion, computational engineering, mathematical modelling, optimisation, gravity, solar eclipse, scientific programming and pattern formation.