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Description
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This book provides a unified view of numerical analysis, mathematical modeling in applications, and programming, which is known as scientific computing or computational science. The integrated science of solving a problem with mathematical, numerical, and programming tools makes this book quite unique among related books since it covers a wide array of topics from mathematical modeling to implementing a working computer program. The book describes: how models are set up; how they are preprocessed mathematically with scaling, classification, and approximation; and how a problem is solved numerically with suitable numerical methods. All results are shown appropriately with visualization. The examples in the book are taken from scientific and engineering applications, such as mechanics, fluid dynamics, solid mechanics, chemical engineering, electromagnetic filed theory, control theory, etc. The numerical methods are demonstrated on simple model problems and programmed in MATLAB. The author also highlights the ideas behind some well-known methods, such as finite differences and finite elements. Both MATLAB and the interactive scientific computing program Comsol Multiphysics are used to solve real-world problems found throughout the book.
Related Website http://www.csc.kth.se/~edsberg
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