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This book is designed to introduce graduate students and researchers to the primary methods useful for approximating integrals. The emphasis is on those methods that have been found to be of practical use, focusing on approximating higher- dimensional integrals with coverage of the lower-dimensional case as well. Included in the book are asymptotic techniques, multiple quadrature and quasi-random techniques and a complete development of Monte Carlo algorithms. For the Monte Carlo section important sampling methods, variance reduction techniques and the primary Markov Chain Monte Carlo algorithms are covered. This book brings these various techniques together for the first time, and provides an accessible textbook and reference for researchers in a wide variety of disciplines.
This text investigates the primary computational methods required to approximate integrals, specifically focusing on the challenges of higher-dimensional integration. Authors Michael Evans and Tim Swartz provide a comprehensive framework for both deterministic and stochastic approaches, drawing on their expertise in statistical computation. The book synthesizes asymptotic techniques, quadrature, and Monte Carlo algorithms to offer a unified resource for researchers and graduate students navigating complex numerical problems.
What You Will Find
Experts identify this work as a foundational reference for those applying numerical integration in diverse scientific fields. Readers frequently note the technical density of the prose, which is tailored specifically for graduate-level study and professional research applications.
Page Count:
288
Publication Date:
2000-05-15
Publisher:
Oxford University Press
ISBN-10:
0198502788
ISBN-13:
9780198502784
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