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Lattice methods were recently developed to handle the multiple integrals that occur in quantum chemistry, physics, statistical mechanics, Bayesian statistics, and numerous other fields. Lattice Methods for Multiple Integration provides an outstanding introduction to the subject, offering numerous examples and detailed, practical descriptions of how each method can be applied to a wide range of situations. Thorough and self-contained, the book includes a user-friendly overview of lattice theory and introduces an important new algorithm--along with tables unavailable elsewhere--that both allows for the practical evaluation of multiple integrals in many variables and efficiently produces an error estimate. The book concludes with extensive numerical tests which compare lattice methods to other methods, such as the Monte Carlo.
This text investigates the application and efficacy of lattice methods for solving complex multiple integration problems across various scientific disciplines. Authors I. H. Sloan and S. Joe provide a rigorous framework for understanding these numerical techniques, drawing upon their expertise in computational mathematics. The book serves as both a theoretical introduction to lattice theory and a practical manual for researchers needing to evaluate integrals in high-dimensional spaces.
What You Will Find
Experts recognize this work as a foundational resource for practitioners in quantum chemistry and statistical mechanics. Readers frequently note the technical precision of the algorithms provided and the utility of the included numerical comparisons for real-world application.
Page Count:
256
Publication Date:
1994-11-17
Publisher:
Clarendon Press
ISBN-10:
0198534728
ISBN-13:
9780198534723
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