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9780898712957

Random Number Generation and Quasi-Monte Carlo Methods

by
  • ISBN13:

    9780898712957

  • ISBN10:

    0898712955

  • Format: Paperback
  • Copyright: 1992-07-01
  • Publisher: Society for Industrial & Applied

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Summary

Tremendous progress has taken place in the related areas of uniform pseudorandom number generation and quasi-Monte Carlo methods in the last five years. This volume contains recent important work in these two areas, and stresses the interplay between them. Some developments contained here have never before appeared in book form. Includes the discussion of the integrated treatment of pseudorandom numbers and quasi-Monte Carlo methods; the systematic development of the theory of lattice rules and the theory of nets and (t,s)-sequences; the construction of new and better low-discrepancy point sets and sequences; Nonlinear congruential methods; the initiation of a systematic study of methods for pseudorandom vector generation; and shift-register pseudorandom numbers.

Table of Contents

Preface
Monte Carlo methods and Quasi-Monte Carlo methods
Quasi-Monte Carlo methods for numerical integration
Low-discrepancy point sets and sequences
Nets and (t,s)-sequences
Lattice rules for numerical integration
Quasi- Monte Carlo methods for optimization
Random numbers and pseudorandom numbers
Nonlinear congruential pseudorandom numbers
Shift-Register pseudorandom numbers
Pseudorandom vector generation
Finite fields and linear recurring sequences
Continued fractions
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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