Introduction to the Fast Multipole Method

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A01=James J.P. Stewart
A01=Victor Anisimov
advanced electrostatics simulation
angular momentum theory
Author_James J.P. Stewart
Author_Victor Anisimov
Azimuthal Index
Biomolecular Simulations
Category=PHVN
Charge Set
Charge Sources
computational biophysics
computational physics
computer implementation
Derived Recurrence Relations
Double Precision
Electrostatic Potential
Electrostatic Potential Function
Enddo Enddo
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
fast multipole method
FMM
Helper Expansion
High Performance Computing
Inverse Distance Function
lattice sum calculations
Legendre Polynomials
Local Coordinate System
M2L Translation
mathematical modeling
Molecular Dynamics
Multipole Expansion
NF Region
Omp Parallel
Orbital Index
parallel computing techniques
periodic boundary conditions
Quantum Biology
quantum mechanics applications
Recurrence Relations
Solid Harmonics
Spherical Harmonic Functions
Spherical Harmonics
Spherical Polar Coordinates
Vector Diagram
Wigner Matrix

Product details

  • ISBN 9781032337401
  • Weight: 793g
  • Dimensions: 178 x 254mm
  • Publication Date: 13 Jun 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Introduction to the Fast Multipole Method introduces the reader to the theory and computer implementation of the Fast Multipole Method. It covers the topics of Laplace’s equation, spherical harmonics, angular momentum, the Wigner matrix, the addition theorem for solid harmonics, and lattice sums for periodic boundary conditions, along with providing a complete, self-contained explanation of the math of the method, so that anyone having an undergraduate grasp of calculus should be able to follow the material presented. The authors derive the Fast Multipole Method from first principles and systematically construct the theory connecting all the parts.

Key Features

  • Introduces each topic from first principles
  • Derives every equation presented, and explains each step in its derivation
  • Builds the necessary theory in order to understand, develop, and use the method
  • Describes the conversion from theory to computer implementation
  • Guides through code optimization and parallelization

Victor Anisimov is an Application Performance Engineer at the Argonne Leadership Computing Facility. He holds a Ph.D. degree in Physical Chemistry from the Institute of Chemical Physics of the Russian Academy of Sciences (1997), which was followed by 5 years of computational chemistry software development with Fujitsu, where his team developed the linear scaling semi-empirical quantum chemistry code LocalSCF that expanded the limits of the approximate electronic structure theory to millions of atoms. He performed postdoctoral work at the University of Maryland at Baltimore (2003-2008), and at the University of Texas at Houston (2008-2011), improving molecular dynamics methods and contributing to the CHARMM code. In the National Center for Supercomputing Applications at the University of Illinois at Urbana-Champaign (2011-2019), Dr. Anisimov held the position of Senior Research Scientist, conducted application support for petascale resource allocation teams on the Blue Waters supercomputer, optimized various application codes, and improved the performance and scaling profiles of coupled cluster singles and doubles electronic structure method in NWChem code. Dr. Anisimov works on the faithful representation of long-range electrostatic interactions in large-scale molecular simulations, near-neighbor communication algorithms, and linear-scaling methods. He specializes in performance optimization and fidelity improvements of electronic structure and soft matter simulation application codes on exascale platforms.

James J. P. Stewart pioneered the use of semiempirical quantum chemistry methods in research and teaching. After teaching at the University of Strathclyde in Glasgow, Scotland, he became a researcher at the United States Air Force Academy, then taught as an adjoint professor at the University of Colorado. For the past 30 years, his company, Stewart Computational Chemistry, has been marketing his program, MOPAC, which now has over 30,000 licensed users and groups worldwide. Dr. Stewart has authored over 150 research papers and his works have been cited over 38,000 times.

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