This book for graduate students and researchers in engineering, computational science, applied mathematics, and statistics explains methods for solving problems in high-dimensional parameter studies, especially in parameterized models for physics and engineering applications. The book focuses on computing and using the active subspace, which is a dimension reduction tool for use in parameter space. Techniques are presented for using a model’s active subspace, for improving parameter studies, and for dimension reduction. Three cases are provided: a scramjet, a photovoltaic solar cell, and a method for airfoil shape optimization. Many b&w graphs are included. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
Techniques and algorithms for discovering and exploiting active subspaces: important new dimension reduction tools for computational scientists.
