This book presents numerous approaches to solve a range of engineering problems. It develops underlying approximation theory from first principles, building a rigorous foundation on which modern approximation methods can be broadly formulated. The book places both existing and new approximation methods in a common theoretical framework by combining classical methods from probability theory and estimation theory with methods from approximation theory. The authors compare competing solutions of benchmark problems to provide a ...
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This book presents numerous approaches to solve a range of engineering problems. It develops underlying approximation theory from first principles, building a rigorous foundation on which modern approximation methods can be broadly formulated. The book places both existing and new approximation methods in a common theoretical framework by combining classical methods from probability theory and estimation theory with methods from approximation theory. The authors compare competing solutions of benchmark problems to provide a qualitative appreciation of several approaches. They also extend available methods to solve multi-resolution approximation problems in an N -dimensional space.
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