Computational engineering has become the emerging interdisciplinary technology for the modelling and design in engineering and science. It becomes 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 method, the finite volume method, the finite element method, elasticity, heat conduction, reaction-diffusion system, and pattern formation. 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 the Author Xin-She Yang received his Ph.D 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 journals, book chapters, and conference proceedings. His research interests include asymptotic analysis, basin modelling, bioinspired algorithms, combustion, computational engineering, gravity, solar eclipse, scientific programming and pattern formation.
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