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Parameterized Adaptive Multidimensional Integration Routines (PAMIR): Localization by Repeated 2^p Subdivision

High Energy Physics - Phenomenology 2010-10-29 v2 Mathematical Software Numerical Analysis Numerical Analysis

Abstract

This book draft gives the theory of a new method for p dimensional adaptive integration by repeated 2^p subdivision of simplexes and hypercubes. A new method of constructing high order integration routines for these geometries permits adjustable samplings of the integration region controlled by user supplied parameters. An outline of the programs and use instructions are also included in the draft. The fortran programs are not included, but will be published with this draft as a book.

Keywords

Cite

@article{arxiv.1009.4647,
  title  = {Parameterized Adaptive Multidimensional Integration Routines (PAMIR): Localization by Repeated 2^p Subdivision},
  author = {Stephen L. Adler},
  journal= {arXiv preprint arXiv:1009.4647},
  year   = {2010}
}

Comments

84 pages Latex, figures included; minor changes to program descriptions and tildes added to Eqs. (63) and (65)

R2 v1 2026-06-21T16:18:13.137Z