Higher-Order Numerical Methods for Transient Wave Equations

Abstract

Using real-life applications, this graduate-level textbook introducesdifferent mathematical methods of scientific computation to solveminimization problems using examples ranging from locating an aircraft,finding the best time to replace a computer, analyzing developmentson the stock market, and constructing phylogenetic trees. The textbookfocuses on several methods, including nonlinear least squares withconfidence analysis, singular value decomposition, best basis, dynamicprogramming, linear programming, and various optimization procedures.Each chapter solves several realistic problems, introducing the modellingoptimization techniques and simulation as required. This allows readersto see how the methods are put to use, making it easier to graspthe basic ideas. There are also worked examples, practical notes,and background materials to help the reader understand the topicscovered. Interactive exercises are available at www.cambridge.org/9780521849890.