%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.128", %%% date = "21 September 2018", %%% time = "08:15:33 MDT", %%% filename = "fastmultipole.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "32118 19528 80245 840586", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "Barnes--Hut; bibliography; BibTeX; Fast %%% Multipole Method", %%% license = "public domain", %%% supported = "no", %%% docstring = "This is a bibliography of publications on %%% fast multipole methods, which reduce the %%% practical computation of the O(N^2) %%% interactions for the N-body problem to O(N %%% lg N) and O(N). This bibliography is still %%% preliminary; there may be a few entries %%% that are not directly about fast multipole %%% methods that should be removed. %%% %%% This relatively new method has wide %%% applicability, from molecular mechanics at %%% the quantum level, to particle models for %%% combustion simulation, to modeling of %%% galaxy formation at the astronmical level, %%% and it therefore seemed useful to collect %%% in one place everything that I could find %%% about it in various databases (Compendex, %%% JSTOR, MathSciNet, OCLC Article1st, OCLC %%% Papers1st, OCLC WorldCat, U.S. Library of %%% Congress catalog, and University of %%% California MELVYL catalog), and in the %%% bibliography archives of the TeX User Group %%% and the BibNet Project, which I maintain. %%% %%% There is a significant gap in the coverage %%% for the years 1986--1992 (see below), because %%% most databases to which I have access only %%% began data collection in the late 1980s or %%% early 1990s. %%% %%% At version 2.128, the year coverage looked %%% like this: %%% %%% 1978 ( 1) 1992 ( 25) 2006 ( 30) %%% 1979 ( 0) 1993 ( 28) 2007 ( 28) %%% 1980 ( 0) 1994 ( 44) 2008 ( 37) %%% 1981 ( 0) 1995 ( 49) 2009 ( 32) %%% 1982 ( 1) 1996 ( 60) 2010 ( 14) %%% 1983 ( 0) 1997 ( 48) 2011 ( 18) %%% 1984 ( 0) 1998 ( 43) 2012 ( 18) %%% 1985 ( 4) 1999 ( 26) 2013 ( 11) %%% 1986 ( 5) 2000 ( 20) 2014 ( 17) %%% 1987 ( 4) 2001 ( 13) 2015 ( 12) %%% 1988 ( 11) 2002 ( 24) 2016 ( 8) %%% 1989 ( 12) 2003 ( 28) 2017 ( 8) %%% 1990 ( 15) 2004 ( 28) 2018 ( 4) %%% 1991 ( 13) 2005 ( 32) %%% 19xx ( 1) %%% %%% Article: 555 %%% Book: 18 %%% InCollection: 28 %%% InProceedings: 99 %%% PhdThesis: 5 %%% Proceedings: 57 %%% TechReport: 7 %%% Unpublished: 3 %%% %%% Total entries: 772 %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% BibTeX citation tags are uniformly chosen as %%% name:year:abbrev, where name is the family %%% name of the first author or editor, year is a %%% 4-digit number, and abbrev is a 3-letter %%% condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted %%% first by ascending year, and within each %%% year, alphabetically by author or editor, %%% and then, if necessary, by the 3-letter %%% abbreviation at the end of the BibTeX %%% citation tag, using the bibsort -byyear %%% utility. Year order has been chosen to %%% make it easier to identify the most recent %%% work. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{ "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi" } @String{ack-jb= "John Burchett, Department of Electrical Engineering, Duke University, Durham, NC, USA, email: \path=johnb@ee.duke.edu="} @String{ack-jks= "John K. Salmon, Center for Advanced Computing Research, 158-79 California Institute of Technology, Pasadena, CA 91125, USA, Tel:+1 626 395-2907, FAX: +1 626 584-5917, WWW: \path=http://www.cacr.caltech.edu/~johns/=, email: \path=johns@ccsf.caltech.edu="} @String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"}

%%% ==================================================================== %%% Institution abbreviations:

@String{inst-CERFACS= "CERFACS"} @String{inst-CERFACS:adr= "Toulouse, France"} @String{inst-ISI= "International Supercomputing Institute, Inc."} @String{inst-ISI:adr= "St. Petersburg, FL, USA"} @String{inst-RAL= "Rutherford Appleton Laboratory"} @String{inst-RAL:adr= "Chilton, Oxon, England"} @String{inst-UIUC-CSRD= "University of Illinois at Urbana-Champaign, Center for Supercomputing Research and Development"} @String{inst-UIUC-CSRD:adr= "Urbana, IL 61801, USA"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ABSTR-PAP-AM-CHEM-SOC= "Abstracts of Papers of the American Chemical Society"} @String{j-ACTA-NUMERICA= "Acta Numerica"} @String{j-ADV-COMPUT-MATH= "Advances in Computational Mathematics"} @String{j-APPL-COMPUT-HARMON-ANAL= "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications"} @String{j-APPL-NUM-MATH= "Applied Numerical Mathematics: Transactions of IMACS"} @String{j-ASTROPHYSICAL-J= "Astrophysical Journal"} @String{j-ASTROPHYSICAL-J-SUPPL-SER= "Astrophysical Journal. Supplement Series"} @String{j-BIT= "BIT (Nordisk tidskrift for informationsbehandling)"} @String{j-BIT-NUM-MATH= "BIT Numerical Mathematics"} @String{j-C-PLUS-PLUS-REPORT= "C++ Report"} @String{j-C-R-ACAD-SCI-PARIS-SER-I-MATH= "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique"} @String{j-C-R-MATH-ACAD-SCI-PARIS= "Comptes Rendus Math{\'e}matique. Acad{\'e}mie des Sciences. Paris"} @String{j-CACM= "Communications of the ACM"} @String{j-CCPE= "Concurrency and Computation: Prac\-tice and Experience"} @String{j-CGF= "Com{\-}pu{\-}ter Graphics Forum"} @String{j-CHEM-PHYS-LETT= "Chemical Physics Letters"} @String{j-CHRON-HIGHER-ED= "The Chronicle of Higher Education"} @String{j-COMM-NUMER-METHODS-ENGRG= "Communications in Numerical Methods in Engineering"} @String{j-COMMUN-APPL-MATH-COMPUT-SCI= "Communications in Applied Mathematics and Computational Science"} @String{j-COMMUN-COMPUT-PHYS= "Communications in Computational Physics"} @String{j-COMP-ARCH-NEWS= "ACM SIGARCH Computer Architecture News"} @String{j-COMP-GRAPHICS= "Computer Graphics"} @String{j-COMP-J= "The Computer Journal"} @String{j-COMP-MECH= "Computational mechanics"} @String{j-COMP-PHYS-COMM= "Computer Physics Communications"} @String{j-COMP-PHYSICS= "Computers in Physics"} @String{j-COMP-STRUCTURES= "Computers and Structures"} @String{j-COMPUT-ACOUSTICS= "Journal of Computational Acoustics"} @String{j-COMPUT-MATH-APPL= "Computers and Mathematics with Applications"} @String{j-COMPUT-MECH= "Computational mechanics"} @String{j-COMPUT-METH-APPL-MECH-ENG= "Computer Methods in Applied Mechanics and Engineering"} @String{j-COMPUT-SCI-ENG= "Computing in Science and Engineering"} @String{j-COMPUT-VIS-SCI= "Computing and Visualization in Science"} @String{j-COMPUTER= "Computer"} @String{j-COMPUTING= "Computing: Archiv f{\"u}r informatik und numerik"} @String{j-DYN-CONTIN-DISCR-IMPULS-B= "Dynamics of Continuous, Discrete \& Impulsive Systems. Series B. Applications \& Algorithms"} @String{j-ELECTR-ENG= "Electrical Engineering (American Institute of Electrical Engineers)"} @String{j-ELECTRON-J-BOUND-ELEM= "Electronic Journal of Boundary Elements"} @String{j-ELECTRON-TRANS-NUMER-ANAL= "Electronic Transactions on Numerical Analysis"} @String{j-ENG-ANAL-BOUND-ELEM= "Engineering Analysis with Boundary Elements"} @String{j-EW-J-NUM-MATH= "East-West Journal of Numerical Mathematics"} @String{j-GEOPHYS-J-INT= "Geophysical journal international"} @String{j-IBM-JRD= "IBM Journal of Research and Development"} @String{j-IBM-SYS-J= "IBM Systems Journal"} @String{j-IEEE-APM= "IEEE Antennas and Propagation Magazine"} @String{j-IEEE-COMPUT-SCI-ENG= "IEEE Computational Science \& Engineering"} @String{j-IEEE-MICROW-GUIDED-WAVE-LETT= "IEEE microwave and guided wave letters: a publication of the IEEE Microwave Theory and Techniques Society"} @String{j-IEEE-TRANS-ANTENNAS-PROPAG= "IEEE Transactions on Antennas and Propagation"} @String{j-IEEE-TRANS-BIOMED-ENG= "IEEE Transactions on Biomedical Engineering"} @String{j-IEEE-TRANS-COMPUT= "IEEE Transactions on Computers"} @String{j-IEEE-TRANS-GEOSCI-REMOTE-SENSING= "IEEE Transactions on Geoscience and Remote Sensing"} @String{j-IEEE-TRANS-MICROWAVE-THEORY-TECH= "IEEE transactions on microwave theory and techniques"} @String{j-IEEE-TRANS-PAR-DIST-SYS= "IEEE Transactions on Parallel and Distributed Systems"} @String{j-IJHPCA= "The International Journal of High Performance Computing Applications"} @String{j-IJQC= "International Journal of Quantum Chemistry"} @String{j-IJQC-QC-SYMP= "International Journal of Quantum Chemistry. Quantum Chemistry Symposium"} @String{j-IJQC-SYMP= "International Journal of Quantum Chemistry. Symposium"} @String{j-IJSA= "The International Journal of Supercomputer Applications"} @String{j-IJSAHPC= "The International Journal of Supercomputer Applications and High Performance Computing"} @String{j-IMA-J-APPL-MATH= "IMA Journal of Applied Mathematics"} @String{j-IMA-J-NUMER-ANAL= "IMA Journal of Numerical Analysis"} @String{j-INT-J-HIGH-SPEED-COMPUTING= "International Journal of High Speed Computing"} @String{j-INT-J-MOD-PHYS-C= "International Journal of Modern Physics C [Physics and Computers]"} @String{j-INT-J-NUMER-METHODS-ENG= "International Journal for Numerical Methods in Engineering"} @String{j-INT-J-NUMER-METHODS-FLUIDS= "International Journal for Numerical Methods in Fluids"} @String{j-INT-J-NUMER-MODEL= "International journal of numerical modelling"} @String{j-J-ACM= "Journal of the ACM"} @String{j-J-ACOUST-SOC-AM= "Journal of the Acoustical Society of America"} @String{j-J-ALGORITHMS-COMPUT-TECHNOL= "Journal of Algorithms \& Computational Technology"} @String{j-J-ASTROPHYS-ASTRON= "Journal of Astrophysics and Astronomy"} @String{j-J-CHEM-PHYS= "Journal of Chemical Physics"} @String{j-J-CHEM-THEORY-COMPUT= "Journal of Chemical Theory and Computation"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-CHEM= "Journal of Computational Chemistry"} @String{j-J-COMPUT-PHYS= "Journal of Computational Physics"} @String{j-J-ELECTROMAGN-WAVES-APPL= "Journal of Electromagnetic Waves and Applications"} @String{j-J-ENG-MATH= "Journal of Engineering Mathematics"} @String{j-J-FLUID-MECH= "Journal of Fluid Mechanics"} @String{j-J-MATH-PHYS= "Journal of Mathematical Physics"} @String{j-J-MECH-PHYS-SOLIDS= "Journal of the mechanics and physics of solids"} @String{j-J-NUMER-METHODS-COMPUT-APPL= "Journal on Numerical Methods and Computer Applications"} @String{j-J-OPT-SOC-AM-A= "Journal of the Optical Society of America. A, Optics, image science, and vision"} @String{j-J-PAR-DIST-COMP= "Journal of Parallel and Distributed Computing"} @String{j-J-PHYS-B= "Journal of physics. B, Atomic, molecular, and optical physics: an Institute of Physics journal"} @String{j-J-PHYS-CHEM= "J. Phys. Chem."} @String{j-J-SCI-COMPUT= "Journal of Scientific Computing"} @String{j-J-SIAM= "Journal of the Society for Industrial and Applied Mathematics"} @String{j-J-STAT-PHYS= "Journal of Statistical Physics"} @String{j-J-SUPERCOMPUTING= "The Journal of Supercomputing"} @String{j-J-UNIV-SCI-TECHNOL-CHINA= "Journal of University of Science and Technology of China. Zhongguo Kexue Jishu Daxue Xuebao"} @String{j-LECT-NOTES-COMP-SCI= "Lecture Notes in Computer Science"} @String{j-LINEAR-ALGEBRA-APPL= "Linear Algebra and its Applications"} @String{j-MATH-COMP-MODELLING= "Mathematical and computer modelling"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-MODEL-NUM-ANA= "Mathematical modelling and numerical analysis = Modelisation math{\'e}matique et analyse num{\'e}rique: $M^2AN$"} @String{j-MICROW-OPT-TECHNOL-LETT= "Microwave and Optical Technology Letters"} @String{j-MOL-PHYS= "Molecular Physics"} @String{j-MOL-SIM= "Molecular simulation"} @String{j-MONTHLY-NOT-ROY-ASTRON-SOC= "Monthly Notices of the Royal Astronomical Society"} @String{j-NAMS= "Notices of the American Mathematical Society"} @String{j-NATURE= "Nature"} @String{j-NEW-ASTRON= "New Astronomy"} @String{j-NUCLEAR-INSTR-METH-PHYS-RES-A= "Nuclear instruments and methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment"} @String{j-NUM-MATH= "Numerische Mathematik"} @String{j-NUMER-ALGORITHMS= "Numerical Algorithms"} @String{j-OPT-LET= "Optics Letters"} @String{j-PARALLEL-COMPUTING= "Parallel Computing"} @String{j-PARALLEL-PROCESS-LETT= "Parallel Processing Letters"} @String{j-PHILOS-TRANS-R-SOC-LOND-SER-A= "Philosophical transactions of the Royal Society of London Series A"} @String{j-PHYS-CHEM-CHEM-PHYS= "Physical Chemistry Chemical Physics: PCCP"} @String{j-PHYS-LET-A= "Physics Letters A"} @String{j-PHYS-MED-BIOL= "Physics in Medicine and Biology"} @String{j-PHYS-REV-A= "Physical Review A (Atomic, Molecular, and Optical Physics)"} @String{j-PHYS-REV-E= "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)"} @String{j-PROC-INT-CONF-PAR-PROC= "Proceedings of the International Conference on Parallel Processing"} @String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI= "Proceedings of the Royal Society A: Mathematical, Physical, \& Engineering Sciences"} @String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI= "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences"} @String{j-PUBL-ASTRON-SOC-JPN= "Publications of the {Astronomical Society of Japan}"} @String{j-QUART-J-MECH-APPLIED-MATH= "Quarterly Journal of Mechanics and Applied Mathematics"} @String{j-RADIO-SCI= "Radio Science"} @String{j-REV-MOD-PHYS= "Reviews of Modern Physics"} @String{j-RUSS-J-NUM-ANAL-MATH-MODEL= "Russian journal of numerical analysis and mathematical modelling"} @String{j-SCIENCE= "Science"} @String{j-SIAM-J-ALG-DISC-METH= "SIAM Journal on Algebraic and Discrete Methods"} @String{j-SIAM-J-APPL-MATH= "SIAM Journal on Applied Mathematics"} @String{j-SIAM-J-COMPUT= "SIAM Journal on Computing"} @String{j-SIAM-J-MAT-ANA-APPL= "SIAM Journal on Matrix Analysis and Applications"} @String{j-SIAM-J-MATH-ANA= "SIAM journal on mathematical analysis"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-J-SCI-COMP= "SIAM Journal on Scientific Computing"} @String{j-SIAM-J-SCI-STAT-COMP= "SIAM Journal on Scientific and Statistical Computing"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-SIGMETRICS= "ACM SIGMETRICS Performance Evaluation Review"} @String{j-SIGMOD= "SIGMOD Record (ACM Special Interest Group on Management of Data)"} @String{j-SIGPLAN= "ACM SIG{\-}PLAN Notices"} @String{j-SUPERFRI= "Supercomputing Frontiers and Innovations"} @String{j-THEOR-COMP-SCI= "Theoretical Computer Science"} @String{j-TOCS= "ACM Transactions on Computer Systems"} @String{j-TODS= "ACM Transactions on Database Systems"} @String{j-TOG= "ACM Transactions on Graphics"} @String{j-TOMS= "ACM Transactions on Mathematical Software"} @String{j-TOPLAS= "ACM Transactions on Programming Languages and Systems"} @String{j-WAVES-RANDOM-COMPLEX-MEDIA= "Waves in Random and Complex Media. Propagation, Scattering and Imaging"} @String{j-Z-ANGE-MATH-MECH= "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-ACS= "American Chemical Society"} @String{pub-ACS:adr= "Washington, DC, USA"} @String{pub-AGARD= "AGARD"} @String{pub-AGARD:adr= "Neuilly sur Seine, France"} @String{pub-AMS= "American Mathematical Society"} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-AP= "Academic Press"} @String{pub-AP:adr= "New York, NY, USA"} @String{pub-BIRKHAUSER-BOSTON= "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr= "Cambridge, MA, USA"} @String{pub-CAMBRIDGE= "Cambridge University Press"} @String{pub-CAMBRIDGE:adr= "Cambridge, UK"} @String{pub-CLARENDON= "Clarendon Press"} @String{pub-CLARENDON:adr= "Oxford, UK"} @String{pub-HILGER= "Adam Hilger Ltd."} @String{pub-HILGER:adr= "Bristol, UK"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-IOS= "IOS Press"} @String{pub-IOS:adr= "Postal Drawer 10558, Burke, VA 2209-0558, USA"} @String{pub-KLUWER= "Kluwer Academic Publishers Group"} @String{pub-KLUWER:adr= "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-MIT= "MIT Press"} @String{pub-MIT:adr= "Cambridge, MA, USA"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-PRINCETON= "Princeton University Press"} @String{pub-PRINCETON:adr= "Princeton, NJ, USA"} @String{pub-SIAM= "Society for Industrial and Applied Mathematics"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SPIE= "SPIE Optical Engineering Press"} @String{pub-SPIE:adr= "Bellingham, WA, USA"} @String{pub-SRI= "SRI International"} @String{pub-SRI:adr= "333 Ravenswood Avenue, Menlo Park, CA 94025-3493, USA, Tel: +1 415 859 6387, FAX: +1 415 859-6028"} @String{pub-SV= "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"} @String{pub-WORLD-SCI= "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr= "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"}

%%% ==================================================================== %%% Series abbreviations:

@String{ser-LNCSE= "Lecture Notes in Computational Science and Engineering"}

%%% ==================================================================== %%% Bibliography entries, sorted by year, and then by citation label, %%% with `bibsort -byyear':

@Article{Bentley:1978:FAC, author = "Jon Louis Bentley and Jerome H. Friedman", title = "Fast Algorithms for Constructing Minimal Spanning Trees in Coordinate Spaces", journal = j-IEEE-TRANS-COMPUT, volume = "C-27", number = "2", pages = "97--105", year = "1978", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1978.1675043", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "Fill in the blank!", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "IEEE Transactions on Computers", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "fast multipole method", } @Article{Cipriani:1982:CEE, author = "Joseph Cipriani and Bernard Silvi", title = "{Cartesian} expressions for electric multipole moment operators", journal = j-MOL-PHYS, volume = "45", number = "2", pages = "259--272", year = "1982", CODEN = "MOPHAM", ISSN = "0026-8976 (print), 1362-3028 (electronic)", ISSN-L = "0026-8976", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Molecular Physics", journal-URL = "http://www.tandfonline.com/loi/tmph20", keywords = "fast multipole method", } @InCollection{Aarseth:1985:MTS, author = "Sverre J. Aarseth", editor = "Jeremiah U. Brackbill and Bruce I. (Bruce Ira) Cohen", booktitle = "Multiple Time Scales", title = "Direct Methods for {$N$}-body Simulations", volume = "3", publisher = pub-AP, address = pub-AP:adr, bookpages = "xiii + 442", pages = "377--418", year = "1985", ISBN = "0-12-123420-7", ISBN-13 = "978-0-12-123420-1", LCCN = "QA377 .M946 1985", bibdate = "Tue Sep 28 09:35:26 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; melvyl.cdlib.org:210/CDL90", series = "Computational techniques", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", subject = "Differential equations, Partial; Numerical solutions; Monte Carlo method; Nonlinear theories", } @Article{Appel:1985:EPM, author = "Andrew W. Appel", title = "An efficient program for many-body simulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "85--103", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "85-04", MRnumber = "85m:85001", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, classification = "A0490 (Other topics in relativity and gravitation); A9510C (Celestial mechanics); C4240 (Programming and algorithm theory); C6110 (Systems analysis and programming); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Comp. Sci., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithmic changes; astrophysics; celestial mechanics; code-tuning; computational complexity; cosmology; data structure modifications; digital simulation; gravitation; gravitational force field; hardware modifications; many-body simulation; N-body problems; particle interactions; physics computing; programming; software; software engineering; tree-structured Universe", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Brooks:1985:SEE, author = "Charles L. {Brooks, III} and B. Montgomery Pettitt and Martin Karplus", title = "Structural and energetic effects of truncating long ranged interactions in ionic and polar fluids", journal = j-J-CHEM-PHYS, volume = "83", number = "11", pages = "5897--5908", year = "1985", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Rokhlin:1985:RSI, author = "V. Rokhlin", title = "Rapid solution of integral equations of classical potential theory", journal = j-J-COMPUT-PHYS, volume = "60", number = "2", pages = "187--207", day = "15", month = sep, year = "1985", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(85)90002-6", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sun Jan 1 15:59:26 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999185900026", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Barnes:1986:HFC, author = "J. E. Barnes and P. Hut", title = "A Hierarchical {$ O(N \log N) $} force-calculation algorithm", journal = j-NATURE, volume = "324", number = "6270", pages = "446--449", month = "????", year = "1986", CODEN = "NATUAS", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Wed Oct 28 08:06:34 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "This paper appears to be the origin of fast multipole algorithms; its $ O(N \log N) $ complexity was later improved to $ O(N) $ \cite{Greengard:1987:FAP}. See also \cite{Appel:1985:EPM}, which might predate this work.", acknowledgement = ack-nhfb, fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", keywords = "fast multipole method", } @InProceedings{Barnes:1986:USS, author = "Joshua E. Barnes", title = "An efficient {$N$}-body algorithm for a fine-grain parallel computer", crossref = "Hut:1986:USS", pages = "175--180", year = "1986", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Boris:1986:VNN, author = "Jay Boris", title = "A Vectorized `Near Neighbors' Algorithm of Order {$N$} using a Monotonic Logical Grid", journal = j-J-COMPUT-PHYS, volume = "66", number = "1", pages = "1--20", month = sep, year = "1986", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(86)90050-1", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sun Jan 1 15:59:31 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999186900501", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @InCollection{Dejonge:1986:USS, author = "Herwig Dejonge and Piet Hut", title = "Round-off sensitivity in the {$N$}-body problem", crossref = "Hut:1986:USS", pages = "212--214", year = "1986", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Book{Allen:1987:CSL, author = "M. P. Allen and D. J. Tildesley", title = "Computer Simulation of Liquids", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xix + 385", year = "1987", ISBN = "0-19-855645-4", ISBN-13 = "978-0-19-855645-9", LCCN = "QC145.2 .A431 1987", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Berger:1987:PSN, author = "Marsha Berger and Shahid Bokhari", title = "A Partitioning Strategy for Non-Uniform Problems on Multiprocessors", journal = j-IEEE-TRANS-COMPUT, volume = "C-36", number = "5", pages = "570--580", month = may, year = "1987", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1987.1676942", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "ICASE Report No. 85-55, Nov. 1985.", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "IEEE Transactions on Computers", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "fast multipole method", } @Article{Greengard:1987:FAP, author = "L. Greengard and V. Rokhlin", title = "A fast algorithm for particle simulations", journal = j-J-COMPUT-PHYS, volume = "73", number = "2", pages = "325--348", month = dec, year = "1987", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(87)90140-9", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sun Jan 1 15:59:38 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib; JSTOR database", note = "This paper is credited as the origin of the fast multipole method, with an $ O(N) $ algorithm. It was reprinted in the same journal, vol. 135, pp. 280--292, August 1997.", URL = "http://www.sciencedirect.com/science/article/pii/0021999187901409", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @PhdThesis{Greengard:1987:REP, author = "L. Greengard", title = "The Rapid Evaluation of Potential Fields in Particle Systems", type = "Ph.D. Thesis", school = "Yale University", address = "New Haven, CT, USA", pages = "????", year = "1987", bibdate = "Thu Apr 22 16:07:54 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "This thesis won an ACM Distinguished Dissertation Award, and was later published as a book \cite{Greengard:1988:REPa}.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Ambrosiano:1988:FMM, author = "John Ambrosiano and Leslie Greengard and Vladimir Rokhlin", title = "The fast multipole method for gridless particle simulation", journal = j-COMP-PHYS-COMM, volume = "48", number = "1", pages = "117--125", month = jan, year = "1988", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(88)90029-X", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Wed Dec 9 18:02:25 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; JSTOR database", acknowledgement = ack-nhfb, affiliationaddress = "Berkeley Research Associates, Springfield, VA, USA", classification = "701; 723; 921; 931; 932", conference = "Part Methods in Fluid Dyn and Plasma Phys, Proc of the Workshop", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "computer aided analysis; electrostatics; fast multipole method; mathematical techniques --- Boundary Value Problems; particle-in-cell methods; plasmas; Simulation", meetingaddress = "Los Alamos, NM, USA", meetingdate = "Apr 13--15 1987", meetingdate2 = "04/13--15/87", } @InProceedings{Ambrosiano:1988:GPS, author = "John Ambrosiano and Leslie Greengard and Vladimir Rokhlin", title = "Gridless plasma simulations via the fast multipole method", crossref = "Kartashev:1988:SPI", pages = "334--342", year = "1988", bibdate = "Fri Apr 23 19:29:20 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Bouchet:1988:CSU, author = "Fran{\c{c}}ois R. Bouchet and Lars Hernquist", title = "Cosmological Simulations using the Hierarchical Tree Method", journal = j-ASTROPHYSICAL-J-SUPPL-SER, volume = "68", number = "4", pages = "521--538", year = "1988", CODEN = "APJSA2", ISSN = "0067-0049 (print), 1538-4365 (electronic)", ISSN-L = "0067-0049", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Astrophysical Journal. Supplement Series", keywords = "fast multipole method", } @Article{Boyer:1988:MDC, author = "L. L. Boyer and G. S. Pawley", title = "Molecular Dynamics of Clusters of Particles Interacting with Pairwise Forces Using a Massively Parallel Computer", journal = j-J-COMPUT-PHYS, volume = "78", number = "2", pages = "405--423", month = oct, year = "1988", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(88)90057-5", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sun Jan 1 15:59:42 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999188900575", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Carrier:1988:FAM, author = "J. Carrier and L. Greengard and V. Rokhlin", title = "A fast adaptive multipole algorithm for particle simulations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "669--686", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C20 (70-08 78-08 78A35 82-08)", MRnumber = "89e:65008", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0320 (Classical mechanics of discrete systems: general mathematical aspects); A0340G (Fluid dynamics: general mathematical aspects); A5265 (Plasma simulation); C7320 (Physics and Chemistry)", corpsource = "Elf Aquitaine and Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "adaptive multipole algorithm; asymptotic CPU time estimate; Coulomb law; digital simulation; fluid dynamics; force fields; molecular dynamics; N-body problems; n-body problems; particle simulations; physics computing; plasma physics; plasma simulation; potential theory; vortices", treatment = "P Practical", } @TechReport{Greengard:1988:EIF, author = "Leslie Greengard and Vladimir Rokhlin", title = "On the efficient implementation of the fast multipole algorithm", type = "Technical Report", number = "TR-602 (or RR-602??)", institution = "Yale University", address = "New Haven, CT, USA", month = "????", year = "1988", bibdate = "Sat Apr 24 07:23:58 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Book{Greengard:1988:REPa, author = "Leslie Greengard", title = "The rapid evaluation of potential fields in particle systems", publisher = pub-MIT, address = pub-MIT:adr, pages = "iv + 90", year = "1988", ISBN = "0-262-07110-X", ISBN-13 = "978-0-262-07110-9", LCCN = "QC20.7.P67 G74 1988", bibdate = "Thu Apr 22 17:20:46 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "ACM distinguished dissertations", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Greengard:1988:REPb, author = "L. Greengard and V. Rokhlin", title = "The rapid evaluation of potential fields in three dimensions", crossref = "Anderson:1988:VMP", pages = "121--141", year = "1988", bibdate = "Thu Apr 22 17:26:46 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; JSTOR database", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Book{Hockney:1988:CSU, author = "R. W. Hockney and J. W. Eastwood", title = "Computer Simulation Using Particles", publisher = pub-HILGER, address = pub-HILGER:adr, pages = "xxi + 540", year = "1988", ISBN = "0-85274-392-0", ISBN-13 = "978-0-85274-392-8", LCCN = "QA76.9.C65 H63 1988", bibdate = "Sat Apr 24 07:33:02 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Barnes:1989:EAT, author = "Joshua E. Barnes and Piet Hut", title = "Error Analysis of a Tree Code", journal = j-ASTROPHYSICAL-J-SUPPL-SER, volume = "70", number = "2", pages = "389--417", year = "1989", CODEN = "APJSA2", ISSN = "0067-0049 (print), 1538-4365 (electronic)", ISSN-L = "0067-0049", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Astrophysical Journal. Supplement Series", keywords = "fast multipole method", } @Article{Cichocki:1989:EIP, author = "B. Cichocki and B. U. Felderhof and K. Hinsen", title = "Electrostatic interactions in periodic {Coulomb} and dipolar systems", journal = j-PHYS-REV-A, volume = "39", number = "10", pages = "5350--5358", year = "1989", CODEN = "PLRAAN", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", ISSN-L = "1050-2947", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Physical Review A (Atomic, Molecular, and Optical Physics)", journal-URL = "http://pra.aps.org/browse", keywords = "fast multipole method", } @InProceedings{Greengard:1989:PVF, author = "Leslie Greengard and William D. Gropp", title = "A parallel version of the fast multipole method", crossref = "Rodrigue:1989:PPS", pages = "213--222", year = "1989", MRclass = "65E05 (65W05)", MRnumber = "1 012 587", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Grest:1989:VLC, author = "Gary S. Grest and Burkhard D{\"u}nweg and Kurt Kremer", title = "Vectorized link cell {Fortran} code for molecular dynamics simulations for a large number of particles", journal = j-COMP-PHYS-COMM, volume = "55", number = "3", pages = "269--285", month = oct, year = "1989", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(89)90125-2", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Apr 24 07:29:16 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @Article{Jernigan:1989:TCL, author = "J. Garrett Jernigan and David H. Porter", title = "A tree code with logarithmic reduction of force terms, hierarchical regularization of all variables, and explicit accuracy controls", journal = j-ASTROPHYSICAL-J-SUPPL-SER, volume = "71", number = "??", pages = "871--893", month = dec, year = "1989", CODEN = "APJSA2", DOI = "https://doi.org/10.1086/191400", ISSN = "0067-0049 (print), 1538-4365 (electronic)", ISSN-L = "0067-0049", bibdate = "Tue Sep 28 07:03:37 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "A method for integrating the Newtonian gravitational equations of motion for an arbitrary number of point particles is presented, which provide explicit control on the maximum error in the acceleration of each particle due to each force term. Empirical analyses of the methods performance are given. An explicit relation between the input parameters and the level of errors in the calculated forces is developed. The advantages of the method include the speed of the static force calculation, the ability to treat large spatial and temporal ranges, and favorable scalings of the total computational expense to perform astrophysical problems.", acknowledgement = ack-nhfb, fjournal = "Astrophysical Journal. Supplement Series", keywords = "binary data; center of mass; computational astrophysics; computerized simulation; equations of motion; fast multipole method; many body problem; stellar models; trees (mathematics); variable stars", } @Article{Katzenelson:1989:CSB, author = "Jacob Katzenelson", title = "Computational structure of the {$N$}-body problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "787--815", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "70-08 (70-04 70F15 76F99)", MRnumber = "90e:70002", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, classification = "A0320 (Classical mechanics of discrete systems: general mathematical aspects); C4240 (Programming and algorithm theory); C7320 (Physics and Chemistry)", corpsource = "Dept. of Electr. Eng. and Comput. Sci., MIT, Cambridge, MA, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational structure; N-body problem; N-body problems; parallel algorithms; parallel computers; physics computing; recursive equations; tree algorithms", treatment = "T Theoretical or Mathematical", } @InProceedings{Nabors:1989:FMA, author = "K. Nabors and J. White", booktitle = "Proceedings of the Custom Integrated Circuits Conference. Town \& Country Hotel, San Diego, California, May 15--18, 1989", title = "Fast multipole algorithm for capacitance extraction of complex {$3$-D} geometries", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "21.7/1--4", month = may, year = "1989", CODEN = "PCICER", ISBN = "????", ISBN-13 = "????", ISSN = "0886-5930", LCCN = "TK7874 .C87 1989", bibdate = "Wed Dec 9 18:02:25 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "IEEE catalog no. 89CH2671-6. IEEE catalog no. 89CM2671-6", acknowledgement = ack-nhfb, affiliation = "MIT, Dep of Electrical Engineering \& Comput Sci, Cambridge, MA, USA", classification = "701; 708; 723; 921", conference = "Proceedings of the IEEE 1989 Custom Integrated Circuits Conference", conferenceyear = "1989", journalabr = "Proc Custom Integr Circuits Conf", keywords = "Algorithms; Capacitance Extraction; Complex 3-D Geometries; Computer Programming; Dielectric Materials; Fast Algorithm; Gaussian Elimination; Mathematical Techniques--Iterative Methods; Multipole Algorithm", meetingaddress = "San Diego, CA, USA", meetingdate = "May 15--18 1989", meetingdate2 = "05/15--18/89", publisherinfo = "IEEE Service Center", sponsor = "IEEE, Electron Devices Soc, New York, NY, USA; IEEE, Solid-State Circuits Council, USA; IEEE, Rochester Section, USA", } @Article{ODonnell:1989:FAN, author = "S. T. O'Donnell and V. Rokhlin", title = "A fast algorithm for the numerical evaluation of conformal mappings", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "475--487", month = may, year = "1989", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0910031", ISSN = "0196-5204", MRclass = "65E05 (30C30)", MRnumber = "90h:65034", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "conformal mappings; connected regions; discretization; fast algorithm; Fast Multipole Method; integral equations; Kerzman-Stein integral equation; numerical evaluation; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Park:1989:BBT, author = "S. C. Park and J. P. Draayer", title = "Balanced binary tree code for scientific applications", journal = j-COMP-PHYS-COMM, volume = "55", number = "2", pages = "189--204", month = sep, year = "1989", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(89)90076-3", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 10:28:28 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465589900763", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Saad:1989:DCH, author = "Y. Saad and M. H. Schultz", title = "Data communication in hypercubes", journal = j-J-PAR-DIST-COMP, volume = "6", number = "1", pages = "115--135", month = feb, year = "1989", CODEN = "JPDCER", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Sat Apr 12 17:13:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, classification = "C4230 (Switching theory)", corpsource = "Res. Center for Sci. Comput., Yale Univ., New Haven, CT, USA", fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", keywords = "algorithms; conjugate gradient; data transfer; Gaussian elimination; hypercube network; hypercube topology; hypercubes; methods; multiprocessor interconnection networks; N-body problem; numerical; parallel processing", treatment = "T Theoretical or Mathematical", } @TechReport{Skeel:1989:MDS, author = "Robert D. Skeel", title = "Macromolecular dynamics on a shared-memory multiprocessor", type = "Technical Report", number = "CSRD 929; Numerical Computing Group 89-5", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "15", month = oct, year = "1989", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "This is a study of the effect of data structures and algorithms on parallelism and vectorization for the molecular dynamics package GROMOS. About 80\% of the computing time (for the GROMOS benchmark) is spent on the nonbonded interactions, and an important issue is the method that is used for finding all pairs of atoms (actually atom groups) which are within a given cutoff radius of each other. Favored by the authors of GROMOS is the use of the (Verlet) neighbor list. Substantial restructuring of their code for the nonbonded interactions has resulted in a speedup of 6.9 for the 8-processor Alliant FX/8 through the use of concurrent subroutine calls. Vectorization gave a further improvement of 30\%. However, the neighbor list approach does not scale up linearly with the number of atoms (nor would it be suitable if cutoffs were abandoned in favor of such techniques as the fast multipole method). Therefore an alternative subroutine that implements the `gridcell plus linked list' approach was also rewritten and tested. This resulted in the discovery of an apparent flaw in an early study of the relative merits of linked list gridcells versus neighbor lists. It is observed that actually the neighbor list approach is not much faster.", acknowledgement = ack-nhfb, annote = "Supported in part by the U.S. Department of Energy. Supported in part by the National Science Foundation.", keywords = "Molecular dynamics --- Computer simulation", } @Article{Anonymous:1990:RUM, author = "Anonymous", title = "Renewing {U.S.} mathematics: a plan for the 1990s. {Appendix B}: {Recent} research accomplishments and related opportunities", journal = j-NAMS, volume = "37", number = "8", pages = "984--1008", year = "1990", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "01A65 (00A99 01A60)", MRnumber = "MR1071445 (92c:01040)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "With a commentary by Allyn Jackson", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", keywords = "fast multipole method", } @Article{Bakker:1990:SPC, author = "A. F. Bakker and G. H. Gilmer and M. H. Grabow and K. Thompson", title = "A Special Purpose Computer for Molecular Dynamics Calculations", journal = j-J-COMPUT-PHYS, volume = "90", number = "2", pages = "313--335", month = oct, year = "1990", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(90)90169-2", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:55:44 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999190901692", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Barnes:1990:MTC, author = "Joshua E. Barnes", title = "A Modified Tree Code: Don't Laugh; It Runs", journal = j-J-COMPUT-PHYS, volume = "87", number = "1", pages = "161--170", month = mar, year = "1990", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(90)90232-P", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:55:40 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/002199919090232P", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @InProceedings{Boehncke:1990:MDS, author = "K. Boehncke and Helmut Heller and H. Grubmuller and Klaus Schulten", booktitle = "NATUG-3. Proceedings of the Third North American Transputers Users Group", title = "Molecular Dynamics Simulations on a Systolic Ring of Transputers", publisher = "????", address = "????", pages = "83--94", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @InProceedings{Brunet:1990:OHD, author = "J.-P. Brunet and J. P. Mesirov and A. Edelman", title = "An optimal hypercube direct {$N$}-body solver on the {Connection Machine}", crossref = "IEEE:1990:PSN", pages = "748--752", year = "1990", bibdate = "Wed Apr 15 18:34:48 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A0320 (Classical mechanics of discrete systems: general mathematical aspects); A9510C (Celestial mechanics); C7320 (Physics and Chemistry)", corpsource = "Thinking Machines Corp., Cambridge, MA, USA", keywords = "16K CM-2; 32-bit precision; CM-2; Connection Machine; direct N-body solvers; Gray codes; hypercube networks; interacting point vortices; N-body problems; parallel algorithms; time-wise edge disjoint Hamiltonian paths", sponsororg = "IEEE; ACM; Lawrence Livermore Nat. Lab.; Los Alamos Nat. Lab.; NASA Ames Res. Center; Nat. Center Atmos. Res.; NSF; SIAM; Supercomput. Res. Center", treatment = "T Theoretical or Mathematical", } @Article{Davis:1990:CEF, author = "M. E. Davis and J. A. McCammon", title = "Calculating electrostatic forces from grid-calculated potentials", journal = j-J-COMPUT-CHEM, volume = "11", number = "3", pages = "401--409", month = apr, year = "1990", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.540110315", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:54:10 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", onlinedate = "7 Sep 2004", } @Article{Deem:1990:TCS, author = "M. W. Deem and J. M. Newsam and S. K. Sinha", title = "The $ h = 0 $ Term in {Coulomb} Sums by the {Ewald} Transformation", journal = j-J-PHYS-CHEM, volume = "94", pages = "8356--8359", year = "1990", CODEN = "JPCHAX", ISSN = "0022-3654 (print), 1541-5740 (electronic)", ISSN-L = "0022-3654", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "J. Phys. Chem.", journal-URL = "http://pubs.acs.org/journal/jpchax", keywords = "fast multipole method", } @Article{Greengard:1990:NSB, author = "Leslie Greengard", title = "The numerical solution of the $n$-body problem", journal = j-COMP-PHYSICS, volume = "4", number = "2", pages = "142--152", month = "????", year = "1990", CODEN = "CPHYE2", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Sat Apr 24 07:26:53 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computers in Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/cip", keywords = "fast multipole method", } @Article{Greengard:1990:PFC, author = "L. Greengard", title = "Potential flow in channels", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "603--620", year = "1990", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0911035", ISSN = "0196-5204", MRclass = "76M25 (76C05 76D99 78A30)", MRnumber = "MR1054628 (91e:76083)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "fast multipole method", } @Article{Greengard:1990:PVF, author = "L. Greengard and W. D. Gropp", title = "A parallel version of the fast multipole method", journal = j-COMPUT-MATH-APPL, volume = "20", number = "7", pages = "63--71", year = "1990", CODEN = "CMAPDK", DOI = "https://doi.org/10.1016/0898-1221(90)90349-O", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", MRclass = "78-08 (70-08 70F10 78A35)", MRnumber = "91e:78003", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computers \& Mathematics with Applications. An International Journal", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", keywords = "fast multipole method", } @Article{Heller:1990:MDS, author = "Helmut Heller and H. Grubmuller and Klaus Schulten", title = "Molecular dynamics simulation on a parallel computer", journal = j-MOL-SIM, volume = "5", number = "??", pages = "133--165", month = "????", year = "1990", CODEN = "MOSIEA", ISSN = "0892-7022 (print), 1029-0435 (electronic)", ISSN-L = "0892-7022", bibdate = "Sat Apr 24 07:30:53 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, annote = "Describes work on 60 Transputers.", fjournal = "Molecular simulation", keywords = "fast multipole method", } @InProceedings{Makino:1990:GSP, author = "J. Makino and T. Ito and T. Ebisuzaki and D. Sugimoto", editor = "{IEEE}", booktitle = "Proceedings of the International Conference on Application Specific Array Processors, 1990", title = "{GRAPE}: a special-purpose computer for {$N$}-body problems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "180--189", year = "1990", DOI = "https://doi.org/10.1109/ASAP.1990.145455", bibdate = "Sat Nov 24 08:25:04 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=145455", acknowledgement = ack-nhfb, book-URL = "http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=486", } @Article{Rokhlin:1990:RSI, author = "Vladimir Rokhlin", title = "Rapid solution of integral equations of scattering theory in two dimensions", journal = j-J-COMPUT-PHYS, volume = "86", number = "2", pages = "414--439", month = feb, year = "1990", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(90)90107-C", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:55:39 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/002199919090107C", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Sugimoto:1990:SPC, author = "D. Sugimoto and Y. Chikada and J. Makino and T. Ito and T. Ebisuzaki and M. Umemura", title = "A special-purpose computer for gravitational many-body problems", journal = j-NATURE, volume = "345", number = "6270", pages = "33--35", day = "3", month = may, year = "1990", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/345033a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Nov 24 07:05:52 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.nature.com/nature/journal/v345/n6270/pdf/345033a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", } @Article{Alpert:1991:FAE, author = "Bradley K. Alpert and Vladimir Rokhlin", title = "A fast algorithm for the evaluation of {Legendre} expansions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "158--179", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D20 (41A50)", MRnumber = "91i:65042", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "These polynomials are used in the Fast Multipole Method, and this paper shows how they can be computed in {$ O(N) $} time.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lawrence Berkeley Lab., California Univ., CA, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximation theory; Chebyshev approximation; Chebyshev nodes; evaluation of Legendre expansions; fast algorithm; fast Fourier transform; finite Legendre series; polynomials; rapid calculation", treatment = "T Theoretical or Mathematical", } @Article{Belhadj:1991:MDS, author = "M. Belhadj and Howard E. Alper and Ronald M. Levy", title = "Molecular dynamics simulations of water with {Ewald} summation for the long range electrostatic interactions", journal = j-CHEM-PHYS-LETT, volume = "179", number = "1--2", pages = "13--20", year = "1991", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "Fill in the blank!", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Caillol:1991:NSH, author = "J. M. Caillol and D. Levesque", title = "Numerical simulations of homogeneous and inhomogeneous ionic systems: An efficient alternative to the {Ewald} method", journal = j-J-CHEM-PHYS, volume = "94", number = "1", pages = "597--607", year = "1991", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Chynoweth:1991:SOL, author = "S. Chynoweth and U. C. Klomp and L. E. Scales", title = "Simulation of organic liquids using pseudo-pairwise interatomic forces on a toroidal transputer array", journal = j-COMP-PHYS-COMM, volume = "62", number = "2--3", pages = "297--306", month = mar, year = "1991", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(91)90102-Q", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @Article{Greengard:1991:FGT, author = "Leslie Greengard and John Strain", title = "The fast {Gauss} transform", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "79--94", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R10", MRnumber = "91i:65205", bibdate = "Sat Apr 24 07:26:41 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, annote = "Describes a method for evaluation of {$N$} Gaussians at {$M$} points in {$ O(M + N) $} time.", classification = "C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "applied mathematics; arbitrarily distributed points; direct evaluation; divide-and-conquer strategy; fast Gauss transform; Hermite expansions; polynomials; series (mathematics); Taylor series; transforms", treatment = "T Theoretical or Mathematical", } @Article{Hanrahan:1991:RHR, author = "Pat Hanrahan and David Salzman and Larry Aupperle", title = "A rapid hierarchical radiosity algorithm", journal = j-COMP-GRAPHICS, volume = "25", number = "4", pages = "197--206", month = jul, year = "1991", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", ISSN-L = "0097-8930", bibdate = "Mon Oct 4 18:49:34 MDT 1999", bibsource = "Graphics/imager/imager.91.bib; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/122718/p197-hanrahan/", acknowledgement = ack-nhfb, annote = "This paper presents a rapid hierarchical radiosity algorithm for illuminating scenes containing large polygonal patches. The algorithm constructs a hierarchical representation of the form factor matrix by adaptively subdividing patches into subpatches according to a user-supplied error bound. The algorithm guarantees that all form factors are calculated to the same precision, removing many common image artifacts due to in accurate form factors. More importantly, the algorithm decomposes the form factor matrix into at most O(n) blocks (where n is the number of elements). Previous radiosity algorithms represented the element-to-element transport interactions with n2 form factors. Visibility algorithms are given that work well with this approach. Standard techniques for shooting and gathering can be used with the hierarchical representation to solve for equilibrium radiosities, but we also discuss using a brightness-weighted error criteria, in conjunction with multigridding, to even more rapidly progressively refine the image.", conference = "held in Las Vegas, Nevada; 28 July -- 2 August 1991", fjournal = "Computer Graphics", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166", keywords = "algorithms; radiosity, ray tracing, global illumination, n-body problem", subject = "{\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Radiosity. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Geometric algorithms, languages, and systems. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Raytracing.", } @InProceedings{Leathrum:1991:PFM, author = "James F. {Leathrum, Jr.} and John A. {Board, Jr.}", title = "Parallelization of the fast multipole algorithm using the {BO12} transputer network", crossref = "Welch:1991:TPW", pages = "296--310", year = "1991", bibdate = "Sat Apr 24 07:44:58 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Describes an implementation of the fast multipole algorithm on a semi-torus-connected set of 8 transputers.", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Liem:1991:MDS, author = "S. Y. Liem and D. Brown and Julian H. R. Clarke", title = "Molecular dynamics simulations on distributed memory machines", journal = j-COMP-PHYS-COMM, volume = "67", number = "2", pages = "261--267", month = dec, year = "1991", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(91)90021-C", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Apr 24 07:51:09 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @Article{Schmidt:1991:IFM, author = "K. E. Schmidt and Michael A. Lee", title = "Implementing the {Fast Multipole Method} in Three Dimensions", journal = j-J-STAT-PHYS, volume = "63", number = "5--6", pages = "1223--1235", month = jun, year = "1991", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/BF01030008", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Sat Aug 30 10:58:44 MDT 2014", bibsource = "http://link.springer.com/journal/10955; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=63&issue=5; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib", note = "See erratum \cite{Schmidt:1997:EIF}.", URL = "http://link.springer.com/article/10.1007/BF01030008", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", keywords = "fast multipole method", } @Article{Victory:1991:CAF, author = "H. D. {Victory, Jr.} and Garry Tucker and Keshab Ganguly", title = "The Convergence Analysis of Fully Discretized Particle Methods for Solving {Vlasov--Poisson} Systems", journal = j-SIAM-J-NUMER-ANAL, volume = "28", number = "4", pages = "955--989", month = aug, year = "1991", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65M12 (76M25 82D10 85A05)", MRnumber = "92d:65157", MRreviewer = "Hassan Emamirad", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "fast multipole method", } @Article{Windemuth:1991:MDC, author = "A. Windemuth and K. Schulten", title = "Molecular dynamics on the {Connection Machine}", journal = j-MOL-SIM, volume = "5", number = "??", pages = "353--361", month = "????", year = "1991", CODEN = "MOSIEA", ISSN = "0892-7022 (print), 1029-0435 (electronic)", ISSN-L = "0892-7022", bibdate = "Thu Apr 22 16:00:57 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Molecular simulation", keywords = "fast multipole method", xxnote = "Check journal name??", } @Article{Zhao:1991:PMM, author = "Feng Zhao and S. Lennart Johnsson", title = "The Parallel Multipole Method on the {Connection Machine}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1420--1437", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65C20 70-08 70F10)", MRnumber = "92h:65211", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "fast multipole method", } @Article{Anderson:1992:IFM, author = "Christopher R. Anderson", title = "An Implementation of the Fast Multipole Method without Multipoles", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "923--947", month = jul, year = "1992", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0913055", ISSN = "0196-5204", MRclass = "65C99 (34B27 35J05)", MRnumber = "93b:65012", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "fast multipole method", } @Article{Board:1992:AMD, author = "John A. {Board, Jr.} and Jeffrey W. Causey and James F. {Leathrum, Jr.} and Andreas Windemuth and Klaus Schulten", title = "Accelerated molecular-dynamics simulation with the parallel fast multipole algorithm", journal = j-CHEM-PHYS-LETT, volume = "198", number = "1", pages = "89--94", day = "2", month = oct, year = "1992", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Sat Apr 24 06:58:53 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, annote = "Describes PFMA, a parallel fast multipole algorithm implemented in Linda.", fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Boyd:1992:FACb, author = "John P. Boyd", title = "A Fast Algorithms for {Chebyshev}, {Fourier} and Sinc Interpolation onto an Irregular Grid", journal = j-J-COMPUT-PHYS, volume = "103", number = "2", pages = "243--257", month = dec, year = "1992", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(92)90399-J", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:54:46 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/002199919290399J", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Boyd:1992:MEP, author = "John P. Boyd", title = "Multipole Expansions and Pseudospectral Cardinal Functions: {A} New Generalization of the {Fast Fourier Transform}", journal = j-J-COMPUT-PHYS, volume = "103", number = "1", pages = "184--186", month = nov, year = "1992", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(92)90333-T", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:54:45 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/002199919290333T", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Ding:1992:ALSb, author = "Hong-Qiang Ding and Naoki Karasawa and William A. {Goddard, III}", title = "Atomic level simulations on a million particles --- the cell multipole method of {Coulomb} and {London} nonbond interactions", journal = j-J-CHEM-PHYS, volume = "97", number = "6", pages = "4309--4315", day = "15", month = sep, year = "1992", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Sat Apr 24 07:12:59 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Ding:1992:OSC, author = "Hong-Qiang Ding and Naoki Karasawa and William A. {Goddard, III}", title = "Optimal spline cutoffs for {Coulomb} and {van der Waals} interactions", journal = j-CHEM-PHYS-LETT, volume = "193", number = "1--3", pages = "197--201", year = "1992", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Ding:1992:RCM, author = "Hong-Qiang Ding and Naoki Karasawa and William A. {Goddard, III}", title = "The reduced cell multipole method for {Coulomb} interactions in periodic systems with million-atom unit cells", journal = j-CHEM-PHYS-LETT, volume = "196", number = "??", pages = "6--10", day = "7", month = aug, year = "1992", CODEN = "CMPHC2", ISSN = "0301-0104 (print), 1873-4421 (electronic)", ISSN-L = "0009-2614", bibdate = "Sat Apr 24 07:12:59 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @InProceedings{Ebisuzaki:1992:GSP, author = "T. Ebisuzaki and T. Ito and J. Makino and S. K. Okumura and D. Sugimoto", editor = "{IEEE}", booktitle = "Proceedings of the Twenty-Fifth Hawaii International Conference on System Sciences, 1992", title = "{GRAPE-2A}: a special purpose computer for simulations of many-body systems with arbitrary central force", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "171--180", year = "1992", DOI = "https://doi.org/10.1109/HICSS.1992.183159", bibdate = "Sat Nov 24 08:02:51 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Engheta:1992:FMM, author = "Nader Engheta and William D. Murphy and Vladimir Rokhlin and Marius S. Vassiliou", title = "The Fast Multipole Method ({FMM}) for Electromagnetic Scattering Problems", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "40", number = "6", pages = "634--641", month = jun, year = "1992", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/8.144597", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78-08 (78A45)", MRnumber = "1 170 021", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @InProceedings{Fullagar:1992:BMM, author = "David P. Fullagar and Peter J. Quinn and Carl J. Grillmair and John K. Salmon and Michael S. Warren", title = "{$N$}-body Methods on {MIMD} Supercomputers: Astrophysics on the {Intel Touchstone Delta}", crossref = "Anonymous:1992:SCA", year = "1992", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "ftp://ftp.cacr.caltech.edu/nbody/asc5paper.ps.Z", acknowledgement = ack-jks # " and " # ack-nhfb, keywords = "fast multipole method", } @Article{Hinsen:1992:RDE, author = "K. Hinsen and B. U. Felderhof", title = "Reduced description of electric multipole potential in {Cartesian} coordinates", journal = j-J-MATH-PHYS, volume = "33", number = "11", pages = "3731--3735", month = nov, year = "1992", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "78A30", MRnumber = "93g:78011", bibdate = "Fri Jan 2 07:23:17 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", keywords = "fast multipole method", } @InProceedings{Leathrum:1992:MAF, author = "James F. {Leathrum, Jr.} and John A. {Board, Jr.}", title = "Mapping the adaptive fast multipole algorithm onto {MIMD} systems", crossref = "Mehrotra:1992:USC", pages = "161--178", year = "1992", bibdate = "Sat Apr 24 07:48:35 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @PhdThesis{Leathrum:1992:PFMa, author = "James F. {Leathrum, Jr.}", title = "Parallelization of the {Fast Multipole Algorithm}: Algorithm and Architecture Design", type = "Ph.D. Thesis", school = "Duke University", address = "????", pages = "????", month = "????", year = "1992", bibdate = "Sat Apr 24 07:50:26 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @TechReport{Leathrum:1992:PFMb, author = "James F. {Leathrum, Jr.} and John A. {Board, Jr.}", title = "The parallel fast multipole algorithm in three dimensions", type = "Technical Report", number = "TR92-001", institution = "Duke University", address = "Durham, NC, USA", month = "????", year = "1992", bibdate = "Sat Apr 24 07:47:31 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Lin:1992:MDD, author = "S. L. Lin and J. Mellor-Crummey and B. M. Pettitt and G. N. {Phillips Jr.}", title = "Molecular dynamics on a distributed-memory multiprocessor", journal = j-J-COMPUT-CHEM, volume = "13", number = "8", pages = "1022--1035", month = oct, year = "1992", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.540130813", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:54:19 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Sep 2004", remark = "Describes work on Intel i860 system.", xxauthor = "S. L. Lin and J. Mellor-Crummey and B. Montgomery Pettitt and G. N. {Phillips, Jr.}", } @InProceedings{Okumura:1992:GHP, author = "S. K. Okumura and J. Makino and T. Ebisuzaki and T. Ito and T. Fukushige and D. Sugimoto and E. Hashimoto and K. Tomida and N. Miyakawa", editor = "{IEEE}", booktitle = "Proceedings of the Twenty-Fifth Hawaii International Conference on System Sciences, 1992", title = "{GRAPE-3}: highly parallelized special-purpose computer for gravitational many-body simulations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "151--160", year = "1992", DOI = "https://doi.org/10.1109/HICSS.1992.183157", bibdate = "Sat Nov 24 08:01:07 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Pan:1992:CCM, author = "Victor Pan", title = "Complexity of Computations with Matrices and Polynomials", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "225--262", month = jun, year = "1992", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1034049", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65Y20 (12Y05 65F05 68Q25 68Q40)", MRnumber = "93g:65179", MRreviewer = "D. Bini", bibdate = "Sat Mar 29 09:55:02 MDT 2014", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/34/2; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper reviews the complexity of polynomial and matrix computations, as well as their various correlations to each other and some major techniques for the design of algebraic and numerical algorithms.", acknowledgement = ack-nhfb, affiliation = "State Univ of New York", affiliationaddress = "Albany, NY, USA", classification = "721.1; 723.1; 921.1", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", journalabr = "SIAM Rev", keywords = "Algorithms; Computation theory; Computational complexity; Computer programming; Matrix computations; Numerical linear algebra; Polynomial complexity; Polynomials", onlinedate = "June 1992", } @InProceedings{Pan:1992:PCT, author = "V. Y. Pan and J. H. Reif and S. R. Tate", title = "The power of combining the techniques of algebraic and numerical computing: improved approximate multipoint polynomial evaluation and improved multipole algorithms", crossref = "IEEE:1992:ASF", pages = "703--713", year = "1992", bibdate = "Thu Apr 5 06:13:50 MDT 2001", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Singh:1992:IHB, author = "Jaswinder Pal Singh", title = "Implications of hierarchical {$N$}-body methods for multiprocessor architecture", journal = j-COMP-ARCH-NEWS, volume = "20", number = "2", pages = "436--436", month = may, year = "1992", CODEN = "CANED2", ISSN = "0163-5964 (ACM), 0884-7495 (IEEE)", ISSN-L = "0163-5964", bibdate = "Fri May 12 09:40:43 MDT 2006", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "ACM SIGARCH Computer Architecture News", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J89", } @InProceedings{Warren:1992:ANS, author = "Michael S. Warren and John K. Salmon", title = "Astrophysical {$N$}-body simulations using hierarchical tree data structures", crossref = "IEEE:1992:PSM", pages = "570--576", year = "1992", bibdate = "Wed Apr 15 15:37:20 MDT 1998", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "1992 Gordon Bell Prize winner.", URL = "ftp://ftp.cacr.caltech.edu/nbody/sc92.ps.Z", acknowledgement = ack-jks # " and " # ack-nhfb, classification = "A9510C (Celestial mechanics); A9810 (Stellar dynamics); A9850D (Kinematics, dynamics, and rotation); C6120 (File organisation); C7350 (Astronomy and astrophysics)", corpsource = "Los Alamos Nat. Lab., NM, USA", keywords = "astrophysical motivation; astrophysical N-body simulations; astrophysics computing; galaxies; galaxy; hierarchical tree data structures; Intel Touchstone Delta system; N-body problems; performance; stellar dynamics; tree data structures", sponsororg = "IEEE; ACM", treatment = "A Application; P Practical; T Theoretical or Mathematical", } @InProceedings{Allen:1993:GIM, author = "E. H. Allen and J. B. Herendeen and P. L. Levin and J. H. Petrangelo", title = "A {Galerkin} implementation of the multipole expansion approach for accurate and fast solution of first and second kind {Fredholm} equations", crossref = "Brebbia:1993:BEX", pages = "485--500", year = "1993", bibdate = "Sat Apr 24 09:40:34 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Biesiadecki:1993:DMT, author = "Jeffrey J. Biesiadecki and Robert D. Skeel", title = "Dangers of Multiple Time Step Methods", journal = j-J-COMPUT-PHYS, volume = "109", number = "2", pages = "318--328", month = dec, year = "1993", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1993.1220", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:54:52 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999183712209", fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Brown:1993:DDP, author = "David Brown and Julian H. R. Clarke and Motoi Okuda and Takao Yamazaki", title = "A domain decomposition parallelization strategy for molecular dynamics simulations on distributed memory machines", journal = j-COMP-PHYS-COMM, volume = "74", number = "1", pages = "67--80", month = jan, year = "1993", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(93)90107-N", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @Article{Brunet:1993:HAD, author = "Jean-Philippe Brunet and Jill P. Mesirov and Alan Edelman", title = "Hypercube algorithms for direct {$N$}-body solvers for different granularities", journal = j-SIAM-J-SCI-COMP, volume = "14", number = "5", pages = "1143--1158", month = sep, year = "1993", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "70-08 (65Y05 70F10 76M25)", MRnumber = "94e:70002", bibdate = "Tue Apr 29 18:15:07 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "See erratum \cite{Brunet:1994:EHA}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Buchholtz:1993:VAM, author = "Volkhard Buchholtz and Thorsten Poschel", title = "A vectorized algorithm for molecular-dynamics of short-range interacting particles", journal = j-INT-J-MOD-PHYS-C, volume = "4", pages = "1049--1057", month = oct, year = "1993", CODEN = "IJMPEO", ISSN = "0129-1831 (print), 1793-6586 (electronic)", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "International Journal of Modern Physics C [Physics and Computers]", journal-URL = "http://www.worldscientific.com/loi/ijmpc", keywords = "fast multipole method", } @Article{Christiansen:1993:FMM, author = "Dorthe Christiansen and John W. Perram and Henrik G. Petersen", title = "On the fast multipole method for computing the energy of periodic assemblies of charged and dipolar particles", journal = j-J-COMPUT-PHYS, volume = "107", number = "2", pages = "403--405", month = aug, year = "1993", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1993.1154", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78A30", MRnumber = "1 229 232", bibdate = "Mon Jan 2 07:54:50 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S002199918371154X", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Coifman:1993:FMM, author = "R. Coifman and V. Rokhlin and S. Wandzura", title = "The fast multipole method for the wave equation: a pedestrian prescription", journal = j-IEEE-APM, volume = "35", number = "3", pages = "7--12", month = jun, year = "1993", CODEN = "IAPMEZ", DOI = "https://doi.org/10.1109/74.250128", ISSN = "1045-9243 (print), 1558-4143 (electronic)", ISSN-L = "1045-9243", bibdate = "Thu Apr 22 15:34:49 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Antennas and Propagation Magazine", keywords = "fast multipole method", } @Article{Darden:1993:PME, author = "Tom Darden and Darrin York and Lee Pedersen", title = "Particle mesh {Ewald} --- an {$ N \log N $} method for {Ewald} sums in large systems", journal = j-J-CHEM-PHYS, volume = "98", pages = "10089--10092", day = "15", month = jun, year = "1993", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Debolt:1993:AMP, author = "Stephen E. Debolt and Peter A. Kollman", title = "{AMBERCUBE MD}, parallelization of {AMBER}'s molecular dynamics module for distributed-memory hypercube computers", journal = j-J-COMPUT-CHEM, volume = "14", number = "3", pages = "312--329", month = mar, year = "1993", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.540140307", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:54:21 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Sep 2004", } @InProceedings{Ebisuzaki:1993:GSP, author = "T. Ebisuzaki and T. Fukushige and M. Taiji and J. Makino and D. Sugimoto and T. Ito and S. K. Okumura and E. Hashimoto and K. Tomida and N. Miyakawa", editor = "{IEEE}", booktitle = "Proceeding of the Twenty-Sixth Hawaii International Conference on System Sciences, 1993", title = "{GRAPE}: special purpose computer for simulations of many-body systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "134--143", year = "1993", DOI = "https://doi.org/10.1109/HICSS.1993.270751", bibdate = "Sat Nov 24 07:59:18 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @InProceedings{Fukushige:1993:SPC, author = "T. Fukushige and J. Makino and T. Ito and S. K. Okumura and T. Ebisuzaki and D. Sugimoto", editor = "{IEEE}", booktitle = "Proceeding of the Twenty-Sixth Hawaii International Conference on System Sciences, 1993", title = "A special purpose computer for particle dynamics simulation based on {Ewald} method: {WINE-1}", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "124--133", year = "1993", DOI = "https://doi.org/10.1109/HICSS.1993.270752", bibdate = "Sat Nov 24 08:16:06 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, book-URL = "http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=449", } @InProceedings{Glosli:1993:FMM, author = "J. N. Glosli and M. R. Philpott", title = "Fast Multipole Method in Simulations of Aqueous Systems", crossref = "Halley:1993:PSM", pages = "80--89", year = "1993", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Greenbaum:1993:LED, author = "A. Greenbaum and L. Greengard and G. B. McFadden", title = "{Laplace}'s equation and the {Dirichlet--Neumann} map in multiply connected domains", journal = j-J-COMPUT-PHYS, volume = "105", number = "2", pages = "267--278", month = apr, year = "1993", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1993.1073", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N99 (65E05)", MRnumber = "MR1210407 (93m:65170)", bibdate = "Mon Jan 2 07:54:48 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999183710739", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Kondratyev:1993:MME, author = "V. N. Kondratyev", title = "Multipole moments of electronic vacancies produced by fast particles in atomic clusters", journal = j-PHYS-LET-A, volume = "179", number = "3", pages = "209--??", day = "9", month = aug, year = "1993", CODEN = "PYLAAG", ISSN = "0375-9601 (print), 1873-2429 (electronic)", ISSN-L = "0375-9601", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Physics Letters A", journal-URL = "http://www.sciencedirect.com/science/journal/03759601", keywords = "fast multipole method", } @Article{Lambin:1993:ESM, author = "Ph. Lambin and P. Senet", title = "{Ewald} Summation of Multipolar Interactions at an Arbitrary Order on a Two-Dimensional Lattice", journal = j-IJQC, volume = "46", number = "1", pages = "101--107", year = "1993", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Apr 24 09:32:49 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "fast multipole method", } @Article{Lu:1993:FAS, author = "C. C. Lu and W. C. Chew", title = "Fast algorithm for solving hybrid integral equations", journal = "IEEE Proceedings-H", volume = "140", number = "6", pages = "455--560", month = dec, year = "1993", bibdate = "Thu Apr 22 15:41:13 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Lustig:1993:FMM, author = "Steven R. Lustig and J. J. Cristy and D. A. Pensak", title = "The {Fast Multipole Method} in Canonical Ensemble Dynamics on Massively Parallel Computers", journal = "MRS Proceedings", volume = "278", pages = "9--??", year = "1993", CODEN = "????", DOI = "https://doi.org/10.1557/PROC-278-9", ISSN = "1946-4274", bibdate = "Tue Sep 20 18:14:27 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "The fast multipole method (FMM) is implemented in canonical ensemble particle simulations to compute non-bonded interactions efficiently with explicit error control. Multipole and local expansions have been derived to implement the FMM efficiently in Cartesian coordinates for soft-sphere (inverse power law), Lennard-Jones, Morse and Yukawa potential functions. Significant reductions in execution times have been achieved with respect to the direct method. For a given number, $N$, of particles the execution times of the direct method scale as $ O(N^2) $. The FMM execution times scale as $ O(N) $ on sequential workstations and vector processors and asymptotically $ O(\log N) $ on massively parallel computers. Connection Machine CM-2 and WAVETRACER-DTC parallel FMM implementations execute faster than the Cray-YMP vectorized FMM for ensemble sizes larger than 28k and 35k, respectively. For 256k particle ensembles the CM-2 parallel FMM is 12 times faster than the Cray-YMP vectorized direct method and 2.2 times faster than the vectorized FMM. For 256k particle ensembles the WAVETRACER-DTC parallel FMM is 33 times faster than the Cray-YMP vectorized direct method.", acknowledgement = ack-nhfb, } @InProceedings{Nyland:1993:DIA, author = "L. S. Nyland and J. F. Prins and J. H. Reif", title = "A Data-Parallel Implementation of the Adaptive Fast Multipole Algorithm", crossref = "Makedon:1993:PDA", pages = "111--122", year = "1993", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Piecuch:1993:MSC, author = "P. Piecuch", title = "{MAPLE} Symbolic Computation of the Long-Range Many-Body Intermolecular Potentials: Three-Body Induction Forces Between Two Atoms and a Linear Molecule", journal = j-IJQC, volume = "47", number = "4", pages = "261--305", year = "1993", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Wed Jan 3 14:24:13 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Inst. of Chem., Wroclaw Univ., Poland", chemicalindex = "ArArHCl/ss Ar/ss Cl/ss H/ss", classification = "A3420 (Interatomic and intermolecular potentials and forces); C7320 (Physics and Chemistry)", fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "Ar-Ar-HCl; Atoms; High-resolution microwave studies; Irreducible tensor formalism; Isosceles triangular configuration; LATEX; Linear molecule; Long-range many-body intermolecular potentials; MAPLE symbolic computation; Multipole approximation level; Nonadditive induction effects; Rayleigh--Schr{\"o}dinger perturbation theory; Three-body induction forces; Typesetting language; Van der Waals coefficients", thesaurus = "Argon; Hydrogen compounds; Intermolecular mechanics; Physics computing; Potential energy functions", } @Article{Shimada:1993:ECC, author = "Jiro Shimada and Hiroki Kaneko and Toshikazu Takada", title = "Efficient calculations of {Coulombic} interactions in biomolecular simulations with periodic boundary conditions", journal = j-J-COMPUT-CHEM, volume = "14", number = "7", pages = "867--878", month = jul, year = "1993", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.540140712", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:54:22 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Sep 2004", } @InProceedings{Singh:1993:PAF, author = "Jaswinder P. Singh and Chris Holt and John L. Hennessy and Anoop Gupta", title = "A Parallel Adaptive Fast Multipole Method", crossref = "IEEE:1993:PSP", pages = "54--67", year = "1993", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib", acknowledgement = ack-nhfb, affiliation = "Stanford Univ", affiliationaddress = "Stanford, CA, USA", classification = "723; 723.5; C4190 (Other numerical methods); C4240P (Parallel programming and algorithm theory); C7320 (Physics and chemistry computing); C7350 (Astronomy and astrophysics computing)", corpsource = "Comput. Sys. Lab., Stanford Univ., CA, USA", keywords = "45-fold speedups; 48-processor Stanford DASH machine; Adaptive fast multipole method; architectures; astronomy computing; Computer simulation; Data locality; data locality; effective parallel performance; Fast multipole method (FMM); galactic simulations; load balancing; N-body applications; N-body problems; parallel adaptive fast multipole method; parallel algorithms; Parallel processing systems; physics computing; representative N-body application; resource allocation; shared address space multiprocessor; shared memory systems; Stanford dash machine; Static domain decomposition; Two-ring Kendall Square Research KSR-1; two-ring Kendall Square Research KSR-1; uniform FMM", sponsororg = "IEEE; ACM SIGARCH", treatment = "P Practical", } @InProceedings{Warren:1993:PHO, author = "Michael S. Warren and John K. Salmon", title = "A Parallel Hashed Oct-Tree {$N$}-Body Algorithm", crossref = "IEEE:1993:PSP", pages = "12--21", year = "1993", bibdate = "Sat Apr 24 14:53:31 1999", bibsource = "Compendex database; http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "ftp://ftp.cacr.caltech.edu/nbody/sc93.ps.Z", acknowledgement = ack-jks # " and " # ack-nhfb, affiliation = "Los Alamos Natl Lab", affiliationaddress = "Los Alamos, NM, USA", classification = "723; 723.5; 921; C4240P (Parallel programming and algorithm theory); C7320 (Physics and chemistry computing)", corpsource = "Los Alamos Nat. Lab., NM, USA", keywords = "512 processor Intel Touchstone Delta system; Algorithms; Complex physical system study; Computer aided analysis; Data storage equipment; efficient adaptive N-body method; force calculations; hash table; machine arithmetic accuracy; memory locations; Multiple processors; N-body method; N-body problems; N-body simulations; parallel algorithms; Parallel hashed Oct-tree N-body algorithm; parallel hashed oct-tree N-body algorithm; parallel program; particle number; physics computing; tree topology; Trees (mathematics); wide-ranging applications", sponsororg = "IEEE; ACM SIGARCH", treatment = "P Practical", } @Article{Zheng:1993:EMM, author = "Xuehe Zheng and Michael C. Zerner", title = "Electric Multipole Moment Integrals Evaluated over {Slater}-Type Orbitals", journal = j-IJQC-QC-SYMP, volume = "27", pages = "431--450", year = "1993", CODEN = "IJQSDI", ISSN = "0161-3642", bibdate = "Wed Jan 3 14:24:13 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib", acknowledgement = ack-nhfb, journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "fast multipole method", } @PhdThesis{Aluru:1994:DIH, author = "Srinivas Aluru", title = "Distribution-Independent Hierarchical {$N$}-body Methods ({Greengard} Method)", type = "Ph.D. Thesis", school = "Iowa State University", address = "Ames, IA, USA", pages = "????", month = "????", year = "1994", bibdate = "Fri Apr 23 19:27:15 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://dogbert.ee.duke.edu/School/Reference/Multipole.html", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @InProceedings{Aluru:1994:TDI, author = "S. Aluru and G. M. Prabhu and J. Gustafson", title = "Truly Distribution-Independent Algorithms for the {$N$}-body Problem", crossref = "IEEE:1994:PSW", pages = "420--428", year = "1994", bibdate = "Fri Apr 23 19:27:02 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "This paper proves that Greengard's algorithm is not $ {O(N)} $ for non-uniform distributions.", URL = "http://dogbert.ee.duke.edu/School/Reference/Multipole.html; http://sc94.ameslab.gov/AP/contents.html", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Angyan:1994:CAM, author = "J{\'a}nos G. {\'A}ngy{\'a}n and Christophe Chipot", title = "A Comprehensive Approach to Molecular Charge Density Models: From Distributed Multipoles to Fitted Atomic Charges", journal = j-IJQC, volume = "52", number = "1", pages = "17--37", day = "15", month = sep, year = "1994", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Apr 24 09:36:42 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "fast multipole method", } @InProceedings{Anonymous:1994:GOS, author = "Anonymous", title = "{GRAPE-4}: {A} One-Tflops Special-Purpose Computer for Astrophysical {$N$}-body Problem", crossref = "IEEE:1994:PSW", pages = "429--438", year = "1994", bibdate = "Mon Aug 26 10:38:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Anonymous:1994:SPF, author = "Anonymous", title = "Scalable Parallel Formulations of the {Barnes--Hut} Method for $n$-Body Simulations", crossref = "IEEE:1994:PSW", pages = "439--448", year = "1994", bibdate = "Mon Aug 26 10:38:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Anonymous:1994:TDA, author = "Anonymous", title = "Truly Distribution-Independent Algorithms for the {$N$}-body and Problem", crossref = "IEEE:1994:PSW", pages = "420--428", year = "1994", bibdate = "Mon Aug 26 10:38:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Antonuccio-Delogu:1994:PTB, author = "V. Antonuccio-Delogu and U. Becciani", title = "A Parallel Tree {$N$}-Body Code for Heterogeneous Clusters", journal = j-LECT-NOTES-COMP-SCI, volume = "879", pages = "17--32", year = "1994", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Wed Sep 15 10:01:31 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncs1994.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", keywords = "computing; heterogeneous network; PARA; parallel scientific computing", } @InProceedings{Barnett:1994:ICC, author = "Mike Barnett and Lance Shuler and Robert van de Geijn and Satya Gupta and David G. Payne and Jerrell Watts", booktitle = "Proceedings of the Scalable High-Performance Computing Conference", title = "Interprocessor collective communication library (InterCom)", publisher = "????", address = "????", pages = "357--364", year = "1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Berman:1994:RME, author = "C. Leonard Berman and Leslie Greengard", title = "A renormalization method for the evaluation of lattice sums", journal = j-J-MATH-PHYS, volume = "35", number = "11", pages = "6036--6048", month = nov, year = "1994", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "11M41 (11Z05)", MRnumber = "95i:11100", MRreviewer = "Christian Grosche", bibdate = "Fri Jan 2 07:23:17 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", keywords = "fast multipole method", } @InProceedings{Board:1994:SIM, author = "John A. {Board, Jr.} and Ziyad S. Hakura and William D. Elliott and Daniel C. Gray and William J. Blanke and James F. {Leathrum, Jr.}", title = "Scalable implementations of multipole-accelerated algorithms for molecular dynamics", crossref = "IEEE:1994:PSH", pages = "95--102", year = "1994", bibdate = "Sat Apr 24 07:03:36 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @TechReport{Board:1994:SVM, author = "John A. {Board, Jr.} and Ziyad S. Hakura and William D. Elliott and Willim T. Rankin", title = "Scalable variants of multipole-accelerated algorithms for molecular dynamics applications", type = "Technical Report", number = "TR 94-006", institution = "Duke University", address = "Durham, NC, USA", month = "????", year = "1994", bibdate = "Sat Apr 24 07:06:07 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Brown:1994:DDP, author = "David Brown and Julian H. R. Clarke and Motoi Okuda and Takao Yamazaki", title = "A domain decomposition parallel processing algorithm for molecular dynamics simulations of polymers", journal = j-COMP-PHYS-COMM, volume = "83", number = "1", pages = "1--13", month = oct, year = "1994", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(94)90030-2", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @Article{Brunet:1994:EHA, author = "Jean-Philippe Brunet and Alan Edelman and Jill P. Mesirov", title = "Erratum: {``Hypercube algorithms for direct $N$-body solvers for different granularities'' [SIAM J. Sci. Comput. {\bf 14} (1993), no. 5, 1143--1158, MR 94e:70002]}", journal = j-SIAM-J-SCI-COMP, volume = "15", number = "1", pages = "238--238", month = jan, year = "1994", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "70-08 (65Y05 70F10 76M25)", MRnumber = "1 257 167", bibdate = "Tue Apr 29 18:15:07 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "See \cite{Brunet:1993:HAD}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @InProceedings{Clark:1994:PMD, author = "Terry W. Clark and Reinhard von Hanxleden and J. Andrew McCammon and L. Ridgway Scott", title = "Parallelizing molecular dynamics using spatial decomposition", crossref = "IEEE:1994:PSH", pages = "357--364", year = "1994", bibdate = "Sat Apr 24 07:11:11 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, annote = "Discusses ways to make the fast multipole algorithm {$ O(N / P) $} on {$P$} processors.", keywords = "fast multipole method", } @TechReport{Elliott:1994:FFT, author = "William D. Elliott and John A. {Board, Jr.}", title = "Fast {Fourier} transform accelerated fast multipole algorithm", type = "Technical Report", number = "TR 94-001", institution = "Duke University", address = "Durham, NC, USA", month = "????", year = "1994", bibdate = "Sat Apr 24 07:20:40 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @InProceedings{Grama:1994:SPF, author = "A. Y. Grama and V. Kumar and A. Sameh", title = "Scalable Parallel Formulations of the {Barnes--Hut} Method for $n$-Body Simulations", crossref = "IEEE:1994:PSW", pages = "439--448", year = "1994", bibdate = "Wed Apr 15 09:36:13 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://sc94.ameslab.gov/AP/contents.html", acknowledgement = ack-nhfb, } @Article{Greengard:1994:FAC, author = "Leslie Greengard", title = "Fast algorithms for classical physics", journal = j-SCIENCE, volume = "265", number = "5174", pages = "909--914", day = "12", month = aug, year = "1994", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Apr 24 07:28:07 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", keywords = "fast multipole method", } @InCollection{Greengard:1994:NEE, author = "Leslie Greengard and Monique Moura", booktitle = "Acta numerica, 1994", title = "On the numerical evaluation of electrostatic fields in composite materials", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "379--410", year = "1994", MRclass = "78A30 (73B27 78-08)", MRnumber = "MR1288100 (95d:78004)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Acta Numer.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Kokubo:1994:HSP, author = "E. Kokubo and J. Makino and M. Taiji", editor = "{IEEE}", booktitle = "{Proceedings of the Twenty-Seventh Hawaii International Conference on System Sciences, 1994}", title = "{HARP-1}: a special-purpose computer for {$N$}-body simulation with the {Hermite} integrator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "292--301", year = "1994", DOI = "https://doi.org/10.1109/HICSS.1994.323162", bibdate = "Sat Nov 24 08:12:48 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @PhdThesis{Liu:1994:PIB, author = "Pangfeng Liu", title = "The Parallel Implementation of {$N$}-body Algorithms", type = "Ph.D. Thesis", school = "Yale University", address = "New Haven, CT, USA", pages = "????", month = "????", year = "1994", bibdate = "Sat Apr 24 07:55:29 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @Article{Lu:1994:MAS, author = "C. C. Lu and W. C. Chew", title = "A multilevel algorithm for solving a boundary integral equation of wave scattering", journal = j-MICROW-OPT-TECHNOL-LETT, volume = "7", number = "10", pages = "466--470", month = jul, year = "1994", CODEN = "MOTLEO", ISSN = "0895-2477 (print), 1098-2760 (electronic)", ISSN-L = "0895-2477", bibdate = "Thu Apr 22 15:42:23 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Microwave and Optical Technology Letters", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2760", keywords = "fast multipole method", } @InProceedings{Makino:1994:GOT, author = "J. Makino and M. Taiji and T. Ebisuzaki and D. Sugimoto", title = "{GRAPE-4}: a One-{Tflops} Special-Purpose Computer for Astrophysical {$N$}-body Problem", crossref = "IEEE:1994:PSW", pages = "429--438", year = "1994", DOI = "https://doi.org/10.1109/SUPERC.1994.344306", bibdate = "Wed Apr 15 09:36:13 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://sc94.ameslab.gov/AP/contents.html", acknowledgement = ack-nhfb, } @Article{Nakano:1994:MMD, author = "Aiichiro Nakano and Rajiv K. Kalia and Priya Vashishta", title = "Multiresolution molecular dynamics algorithm for realistic materials modeling on parallel computers", journal = j-COMP-PHYS-COMM, volume = "83", number = "2--3", pages = "197--214", month = dec, year = "1994", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(94)90048-5", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Apr 24 07:56:55 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, annote = "Describes implementation on Intel Touchstone Delta and IBM SP1 systems.", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @Article{Niedermeier:1994:SAM, author = "Christoph Niedermeier and Paul Tavan", title = "A structure adapted multipole method for electrostatic interactions in protein dynamics", journal = j-J-CHEM-PHYS, volume = "101", number = "1", pages = "734--748", month = "????", year = "1994", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Sat Apr 24 07:58:19 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @InProceedings{Ohno:1994:DSP, author = "Y. Ohno and J. Makino and I. Hachisu and T. Ebisuzaki and D. Sugimoto", editor = "{IEEE}", booktitle = "{Proceedings of the Twenty-Seventh Hawaii International Conference on System Sciences, 1994}", title = "{DREAM-1A}: special-purpose computer for computational fluid dynamics", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "282--291", year = "1994", DOI = "https://doi.org/10.1109/HICSS.1994.323163", bibdate = "Sat Nov 24 08:16:06 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "arnumber=323163; http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&", acknowledgement = ack-nhfb, book-URL = "http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=935", } @Article{Petersen:1994:VFM, author = "Henrik G. Petersen and Dorthe Soelvason and John W. Perram and E. R. Smith", title = "The very fast multipole method", journal = j-J-CHEM-PHYS, volume = "101", number = "10", pages = "8870--8876", day = "15", month = nov, year = "1994", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Sat Apr 24 08:03:07 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, annote = "The algorithm is still {$ O(N) $}, but has a speedup of two in 2-D, and three in 3-D.", fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Pfalzner:1994:HTC, author = "Susanne Pfalzner and Paul Gibbon", title = "A {$3$D} hierarchical tree code for dense plasma simulation", journal = j-COMP-PHYS-COMM, volume = "79", number = "1", pages = "24--38", month = feb, year = "1994", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(94)90227-5", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:29:42 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465594902275", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Pluta:1994:DHE, author = "Tadeusz Pluta and Jozef Noga and Rodney J. Bartlett", title = "Determination of Higher Electric Polarizability Tensors from Unrelaxed Coupled Cluster Density Matrix Calculations of Electric Multipole Moments", journal = j-IJQC-SYMP, volume = "28", pages = "379--393", year = "1994", CODEN = "IJQSAF", ISSN = "0538-821X", bibdate = "Sat Apr 24 09:17:53 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Quantum Chemistry. Quantum Chemistry Symposium", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-461X", keywords = "fast multipole method", } @PhdThesis{Pringle:1994:NST, author = "Gavin J. Pringle", title = "Numerical Study of Three-Dimensional Flow using Fast Parallel Particle Algorithms", type = "Ph.D. Thesis", school = "Napier University", address = "Edinburgh, Scotland", month = "????", year = "1994", bibdate = "Sat Apr 24 08:10:10 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, keywords = "fast multipole method", } @InProceedings{Rokhlin:1994:FMM, author = "V. Rokhlin and S. M. Wandzura", title = "The Fast Multipole Method for Periodic Structures", crossref = "IEEE:1994:IAP", pages = "424--426", year = "1994", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Russo:1994:FTV, author = "Giovanni Russo and John A. Strain", title = "Fast triangulated vortex methods for the {$2$D} {Euler} equations", journal = j-J-COMPUT-PHYS, volume = "111", number = "2", pages = "291--323", month = apr, year = "1994", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1994.1065", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M25 (65M99)", MRnumber = "MR1275026 (95b:76074)", bibdate = "Mon Jan 2 07:54:54 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999184710655", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Salmon:1994:FPT, author = "John K. Salmon and Michael S. Warren and Gregoire S. Winckelmans", title = "Fast Parallel Tree Codes for Gravitational and Fluid Dynamical {$N$}-Body Problems", journal = j-IJSA, volume = "8", number = "2", pages = "129--142", month = "Summer", year = "1994", CODEN = "IJSAE9", ISSN = "0890-2720", bibdate = "Sat Apr 24 14:54:34 1999", bibsource = "Compendex database; http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijsa.bib", URL = "ftp://ftp.cacr.caltech.edu/nbody/ijsa.ps.Z; ftp://ftp.cacr.caltech.edu/nbody/ijsanofig.ps.Z", abstract = "The paper discusses two physical systems from different disciplines that make use of the same algorithmic and mathematical structures as a way of reducing the number of operations to complete a realistic simulation. In the gravitational N-body problem, the acceleration of an object is given by the familiar Newtonian laws of motion and gravitation. In the simulation of incompressible flows, the flow may be modelled by the dynamics of a set of N interacting vortices. Both type of simulations are carried out on the Intel Touchstone Delta, a parallel MIMD computer with 512 processors.", acknowledgement = ack-jks # " and " # ack-nhfb, affiliation = "Dept. of Phys., California Institute of Technol.", affiliationaddress = "Pasadena, CA, USA", classification = "631.1; 722.4; 723.1; 723.5; 921.6; 931.5", fjournal = "International Journal of Supercomputer Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", journalabr = "Int J Supercomput Appl High Perform Comput", keywords = "Algorithms; Approximation theory; Computational complexity; Computer simulation; Fluid dynamical N body problem; Fluid dynamics; Gravitation; Gravitational N body problem; Intel Touchstone Delta; Parallel processing systems; Trees (mathematics); Vortex flow", } @Article{Salmon:1994:STC, author = "John K. Salmon and Michael S. Warren", title = "Skeletons from the Treecode Closet", journal = j-J-COMPUT-PHYS, volume = "111", number = "1", pages = "136--155", month = mar, year = "1994", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1994.1050", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:54:54 MST 2012", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "ftp://ftp.cacr.caltech.edu/nbody/skeletons.ps.Z; http://www.ccsf.caltech.edu/~johns/ftp/nbody/skeletons.ps.Z; http://www.sciencedirect.com/science/article/pii/S0021999184710503", acknowledgement = ack-jks # " and " # ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Schmitt:1994:CDF, author = "H. Schmitt", title = "Contour Dynamics and the Fast Multipole Method", journal = j-SIAM-J-SCI-COMP, volume = "15", number = "4", pages = "997--1001", month = jul, year = "1994", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65M55 (65N55 76C99 76M25)", MRnumber = "95a:65159", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Shimada:1994:PFM, author = "Jiro Shimada and Hiroki Kaneko and Toshikazu Takada", title = "Performance of fast multipole methods for calculating electrostatic interactions in biomacromolecular simulations", journal = j-J-COMPUT-CHEM, volume = "15", number = "1", pages = "28--43", month = jan, year = "1994", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.540150105", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:54:24 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Sep 2004", } @Article{Song:1994:FMM, author = "J. M. Song and W. C. Chew", title = "Fast Multipole Method Solution Using Parametric Geometry", journal = j-MICROW-OPT-TECHNOL-LETT, volume = "7", number = "16", pages = "760--765", month = nov, year = "1994", CODEN = "MOTLEO", ISSN = "0895-2477 (print), 1098-2760 (electronic)", ISSN-L = "0895-2477", bibdate = "Thu Apr 22 15:43:26 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Microwave and Optical Technology Letters", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2760", keywords = "fast multipole method", } @InProceedings{Taiji:1994:GTM, author = "M. Taiji and J. Makino and T. Ebisuzaki and D. Sugimoto", editor = "{IEEE}", booktitle = "{Proceedings of the Eighth International Parallel Processing Symposium, 1994}", title = "{GRAPE-4}: a {teraFLOPS} massively parallel special-purpose computer system for astrophysical {$N$}-body simulations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "280--287", year = "1994", DOI = "https://doi.org/10.1109/IPPS.1994.288288", bibdate = "Sat Nov 24 08:05:38 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @InProceedings{Wagner:1994:RPA, author = "R. L. Wagner and W. C. Chew", title = "A Ray Propagation Approach for Accelerating the Fast Multipole Method", crossref = "IEEE:1994:IAP", pages = "427--430", year = "1994", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Wagner:1994:RPF, author = "R. L. Wagner and W. C. Chew", title = "A Ray-Propagation Fast Multipole Algorithm", journal = j-MICROW-OPT-TECHNOL-LETT, volume = "7", number = "10", pages = "435--438", month = jul, year = "1994", CODEN = "MOTLEO", ISSN = "0895-2477 (print), 1098-2760 (electronic)", ISSN-L = "0895-2477", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Microwave and Optical Technology Letters", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2760", keywords = "fast multipole method", } @Article{White:1994:DEI, author = "C. A. White and M. Head-Gordon", title = "Derivation and efficient implementation of the fast multipole method", journal = j-J-CHEM-PHYS, volume = "101", number = "8", pages = "6593--6605", month = "????", year = "1994", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Thu Apr 22 15:58:26 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Zurek:1994:LSS, author = "W. H. Zurek and P. J. Quinn and J. K. Salmon and M. S. Warren", title = "Large Scale Structure after {COBE}: {Peculiar} Velocities and Correlations of Cold Dark Matter Halos", journal = j-ASTROPHYSICAL-J, volume = "431", number = "2 (or 1??)", pages = "559--??", year = "1994", CODEN = "ASJOAB", ISSN = "0004-637X (print), 1538-4357 (electronic)", ISSN-L = "0004-637X", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "ftp://ftp.cacr.caltech.edu/nbody/cdp10.ps.Z", acknowledgement = ack-jks # " and " # ack-nhfb, fjournal = "Astrophysical Journal", journal-URL = "http://iopscience.iop.org/0004-637X/", keywords = "fast multipole method", } @Article{Auffinger:1995:STE, author = "Pascal Auffinger and David L. Beveridge", title = "A simple test for evaluating the truncation effects in simulations of systems involving charged groups", journal = j-CHEM-PHYS-LETT, volume = "234", number = "4--6", pages = "413--415", year = "1995", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Bandi:1995:ASS, author = "S. Bandi and D. Thalmann", title = "An Adaptive Spatial Subdivision of the Object Space for Fast Collision Detection of Animated Rigid Bodies", journal = j-CGF, volume = "14", number = "3", pages = "C/259--C/270", month = sep, year = "1995", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", ISSN-L = "0167-7055", bibdate = "Fri Jul 18 14:09:45 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/cgf.bib", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques); C6185 (Simulation techniques)", conflocation = "Maastricht, Netherlands; 18 Aug.-1 Sept. 1995", conftitle = "EUROGRAPHICS '95", corpsource = "Comput. Graphics Lab., Swiss Federal Inst. of Technol., Lausanne, Switzerland", fjournal = "Com{\-}pu{\-}ter Graphics Forum", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/", keywords = "adaptive spatial subdivision; Adaptive spatial subdivision; adaptive spatial subdivision; analyzer; animated rigid bodies; Animated rigid bodies; bounding; bounding box tests; Bounding boxes; boxes; collision detection tests; Collision detection tests; Collision detection time; collision detection time; computer animation; detection; digital; digital differential; digital differential analysers; Digital differential analyzer; fast collision; Fast collision detection; hierarchical; Hierarchical bounding box tests; object space; Object space; object space; octree structure; Octree structure; octree structure; octrees; rigid body animation; Rigid body animation; rigid body animation; run time simulation; Run time simulation; run time simulation; simulation; Simulation; user interfaces", thesaurus = "Computer animation; Digital differential analysers; Digital simulation; Octrees; User interfaces", treatment = "P Practical", } @Article{Berman:1995:GMC, author = "C. Leonard Berman", title = "Grid-Multipole Calculations", journal = j-SIAM-J-SCI-COMP, volume = "16", number = "5", pages = "1082--1091", month = sep, year = "1995", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65C99 (70-08 70F10)", MRnumber = "96d:65018", bibdate = "Fri Dec 4 16:17:35 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Bharadwaj:1995:FMB, author = "Ranganathan Bharadwaj and Andreas Windemuth and S. Sridharan and Barry Honig and Anthony Nicholls", title = "The fast multipole boundary element method for molecular electrostatics: an optimal approach for large systems", journal = j-J-COMPUT-CHEM, volume = "16", number = "7", pages = "898--913", month = jul, year = "1995", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.540160707", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:54:30 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Sep 2004", } @InProceedings{Callahan:1995:ADC, author = "Paul B. Callahan and S. Rao Kosaraju", booktitle = "{Proceedings of the Sixth Annual ACM-SIAM Symposium on Discrete Algorithms (San Francisco, CA, 1995)}", title = "Algorithms for dynamic closest pair and {$n$}-body potential fields", publisher = pub-ACM, address = pub-ACM:adr, pages = "263--272", year = "1995", MRclass = "68U05 (65Y25 78-08)", MRnumber = "MR1321856 (96e:68125)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Callahan:1995:DMP, author = "Paul B. Callahan and S. Rao Kosaraju", title = "A Decomposition of Multidimensional Point Sets with Applications to $k$-Nearest-Neighbors and $n$-Body Potential Fields", journal = j-J-ACM, volume = "42", number = "1", pages = "67--90", month = jan, year = "1995", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Mon May 15 21:04:34 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0004-5411/200853.html", abstract = "We define the notion of a {\em well-separated pair decomposition\/} of points in $d$-dimensional space. We then develop efficient sequential and parallel algorithms for computing such a decomposition. We apply the resulting decomposition to the efficient computation of $k$-nearest neighbors and $n$-body potential fields.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "algorithms; theory", subject = "{\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Geometrical problems and computations. {\bf F.1.2}: Theory of Computation, COMPUTATION BY ABSTRACT DEVICES, Modes of Computation, Parallelism and concurrency. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Parallel algorithms.", } @Article{Challacombe:1995:RRC, author = "Matt Challacombe and Eric Schwegler and Jan Almlof", title = "Recurrence relations for calculations of the {Cartesian} multipole tensor", journal = j-CHEM-PHYS-LETT, volume = "241", number = "1--2", pages = "67--72", day = "14", month = jul, year = "1995", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Sat Apr 24 07:08:03 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Unpublished{Demmel:1995:FHM, author = "James Demmel", title = "Fast Hierarchical Methods for the {$N$}-body Problem (continued) {(CS 267, Apr 25 1995)}", day = "25", month = apr, year = "1995", bibdate = "Thu Apr 22 16:10:20 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "CS 267 class notes.", URL = "http://now.cs.berkeley.edu/~demmel/cs267/lecture27/lecture27OLD.html", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Draghicescu:1995:FAV, author = "Cristina I. Draghicescu and Mircea Draghicescu", title = "A Fast Algorithm for Vortex Blob Interactions", journal = j-J-COMPUT-PHYS, volume = "116", number = "1", pages = "69--78", month = jan, year = "1995", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1995.1006", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M25 (76C05)", MRnumber = "MR1315209 (96d:76072)", MRreviewer = "Thomas Y. Hou", bibdate = "Mon Jan 2 07:54:59 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999185710066", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Dutt:1995:FFT, author = "A. Dutt and Vladimir Rokhlin", title = "Fast {Fourier} transforms for non-equispaced data. 2", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "2", number = "1", pages = "85--100", month = jan, year = "1995", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", keywords = "fast multipole method", } @Article{Esselink:1995:CAL, author = "Klaas Esselink", title = "A comparison of algorithms for long-range interactions", journal = j-COMP-PHYS-COMM, volume = "87", number = "3", pages = "375--395", month = jun, year = "1995", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(95)00003-X", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Apr 24 07:21:56 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @InProceedings{Fukushige:1995:BSG, author = "T. Fukushige and J. Makino", booktitle = "{Proceedings of the 1995 ACM\slash IEEE Conference on Supercomputing}", title = "{$N$}-body simulation of galaxy formation on {GRAPE-4} special-purpose computer", publisher = pub-ACM, address = pub-ACM:adr, pages = "????", year = "1995", DOI = "https://doi.org/10.1145/369028.369130", bibdate = "Sat Nov 24 06:48:55 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @InProceedings{Hamilton:1995:FMM, author = "L. R. Hamilton and J. J. Ottusch and M. A. Stalzer and R. S. Turley", title = "The Fast Multipole Method for Large 2nd Scatterers (Invited Paper)", crossref = "Anonymous:1995:PAC", pages = "606--613", year = "1995", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Hamilton:1995:RGM, author = "John T. Hamilton and George Majda", title = "On the {Rokhlin--Greengard} method with vortex blobs for problems posed in all space or periodic in one direction", journal = j-J-COMPUT-PHYS, volume = "121", number = "1", pages = "29--50", day = "1", month = oct, year = "1995", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1995.1177", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M25", MRnumber = "MR1352339 (96d:76075)", bibdate = "Mon Jan 2 07:55:04 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999185711771", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Hendrickson:1995:PMB, author = "Bruce Hendrickson and Steve Plimpton", title = "Parallel Many-Body Simulations without All-to-All Communication", journal = j-J-PAR-DIST-COMP, volume = "27", number = "1", pages = "15--25", month = may, year = "1995", CODEN = "JPDCER", DOI = "https://doi.org/10.1006/jpdc.1995.1068", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Thu Mar 9 09:18:57 MST 2000", bibsource = "http://www.idealibrary.com/servlet/useragent?func=showAllIssues&curIssueID=jpdc; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.idealibrary.com/links/doi/10.1006/jpdc.1995.1068/production; http://www.idealibrary.com/links/doi/10.1006/jpdc.1995.1068/production/pdf", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0320 (Classical mechanics of discrete systems: general mathematical aspects); C5440 (Multiprocessing systems); C6185 (Simulation techniques); C7320 (Physics and chemistry computing)", corpsource = "Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", keywords = "computing; digital simulation; interacting particles; load imbalance; many-body problems; massively parallel computing; method; molecular dynamics; molecular dynamics simulations; N-body problems; parallel; parallel many-body simulations; parallel processing; physics", treatment = "A Application; P Practical", } @InProceedings{Holt:1995:HBM, author = "Chris Holt and Jaswinder Pal Singh", title = "Hierarchical $n$-body methods on shared address space multiprocessors", crossref = "Bailey:1995:PSS", pages = "313--318", year = "1995", bibdate = "Sat Apr 24 07:36:17 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, annote = "Discusses both the Barnes--Hut algorithm and the Fast Multipole Algorithm.", keywords = "fast multipole method", } @Article{Krishnan:1995:PAF, author = "S. Krishnan and L. V. Kale", title = "A parallel Adaptive Fast Multipole Algorithm for $n$-Body Problems", journal = j-PROC-INT-CONF-PAR-PROC, volume = "??", number = "??", pages = "III", month = "????", year = "1995", CODEN = "PCPADL", ISSN = "0190-3918", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the International Conference on Parallel Processing", keywords = "fast multipole method", } @Article{Kutteh:1995:GFM, author = "R. Kutteh and E. Apra and J. Nichols", title = "A generalized fast multipole approach for {Hartree--Fock} and density functional computations", journal = j-CHEM-PHYS-LETT, volume = "238", number = "1--3", pages = "173--??", month = "????", year = "1995", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Kutteh:1995:ICM, author = "Ramzi Kutteh and John B. Nicholas", title = "Implementing the cell multipole method for dipolar and charged dipolar systems", journal = j-COMP-PHYS-COMM, volume = "86", number = "3", pages = "236--254", day = "1", month = may, year = "1995", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(94)00020-3", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Apr 24 07:39:48 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, annote = "Describes an implementation of the cell multipole method, essentially the Fast Multipole Algorithm in {Cartesian} coordinates.", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @Article{Linton:1995:MMB, author = "C. M. Linton", title = "Multipole methods for boundary-value problems involving a sphere in a tube", journal = j-IMA-J-APPL-MATH, volume = "55", number = "2", pages = "187--204", month = "????", year = "1995", CODEN = "IJAMDM", ISSN = "0272-4960 (print), 1464-3634 (electronic)", ISSN-L = "0272-4960", MRclass = "76M99 (76B10 76D07 76Q05)", MRnumber = "96f:76070", bibdate = "Tue Dec 26 06:37:59 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "IMA journal of applied mathematics", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", keywords = "fast multipole method", } @Article{Lustig:1995:TFM, author = "Steven R. Lustig and Sanjeev Rastogi and Norman Wagner", title = "Telescoping Fast Multipole Methods Using {Chebyshev} Economization", journal = j-J-COMPUT-PHYS, volume = "122", number = "2", pages = "317--322", month = dec, year = "1995", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1995.1217", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:55:06 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", URL = "http://www.sciencedirect.com/science/article/pii/S002199918571217X", acknowledgement = ack-nhfb, affiliation = "Central Res., DuPont Electron., Wilmington, DE, USA", fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @InProceedings{MacDonald:1995:FSM, author = "P. A. MacDonald and T. Itoh", title = "Fast simulation of microstrip antennas using the fast multipole method", crossref = "Anonymous:1995:ECP", pages = "737--741", year = "1995", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Makino:1995:ABS, author = "J. Makino and M. Taiji", booktitle = "{Proceedings of the 1995 ACM\slash IEEE Conference on Supercomputing}", title = "Astrophysical {$N$}-body simulations on the {GRAPE-4} special-purpose computer", crossref = "Karin:1995:PAI", pages = "63--??", year = "1995", DOI = "https://doi.org/10.1109/SUPERC.1995.241960; https://doi.org/10.1145/224170.224400", bibdate = "Sat Nov 24 06:46:56 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.supercomp.org/sc95/proceedings/721_JMAK/SC95.HTM", acknowledgement = ack-nhfb, } @Article{McKenney:1995:FPS, author = "A. McKenney and L. Greengard and A. Mayo", title = "A Fast {Poisson} Solver for Complex Geometries", journal = j-J-COMPUT-PHYS, volume = "118", number = "2", pages = "348--355", month = may, year = "1995", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1995.1104", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N55", MRnumber = "MR1329638 (96a:65179)", bibdate = "Mon Jan 2 07:55:02 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999185711047", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Panas:1995:PET, author = "Itai Panas", title = "Practical Expressions for the Two-Center Multipole Expansion of $ r \pm 1_{12} $", journal = j-IJQC, volume = "53", number = "3", pages = "255--263", day = "5", month = feb, year = "1995", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Apr 24 09:19:23 1999", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", journalabr = "Int J Quant Chem", keywords = "fast multipole method", } @Article{Peirce:1995:SMM, author = "A. P. Peirce and J. A. L. Napier", title = "A spectral multipole method for efficient solution of large-scale boundary element models in elastostatics", journal = j-INT-J-NUMER-METHODS-ENG, volume = "38", number = "23", pages = "4009--4034", month = "????", year = "1995", CODEN = "IJNMBH", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", bibdate = "Sat Apr 24 07:59:11 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", keywords = "fast multipole method", } @Article{Perez-Jorda:1995:SAR, author = "Jose M. Perez-Jorda and Weitao Yang", title = "A simple {$ O(N \log N) $} algorithm for the rapid evaluation of particle-particle interactions", journal = j-CHEM-PHYS-LETT, volume = "247", number = "4--6", pages = "484--490", day = "29", month = dec, year = "1995", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Sat Apr 24 08:01:34 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Petersen:1995:EEFa, author = "Henrik G. Petersen and Dorthe Solvason and John W. Perram and E. R. Smith", title = "Error estimates for the fast multipole method. 1. the two-dimensional case", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "448", number = "1934", pages = "389--400", day = "8", month = mar, year = "1995", CODEN = "PRLAAZ", ISSN = "0080-4630", bibdate = "Sat Apr 24 08:04:26 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences", journal-URL = "http://rspa.royalsocietypublishing.org/content/current", keywords = "fast multipole method", } @Article{Petersen:1995:EEFb, author = "Henrik G. Petersen and E. R. Smith and Dorthe Solvason", title = "Error-estimates for the fast multipole method. 2. the three-dimensional case", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "448", number = "1934", pages = "401--418", day = "8", month = mar, year = "1995", CODEN = "PRLAAZ", ISSN = "0080-4630", bibdate = "Sat Apr 24 08:04:26 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences", journal-URL = "http://rspa.royalsocietypublishing.org/content/current", keywords = "fast multipole method", } @Article{Singer:1995:PIF, author = "J. K. Singer", title = "Parallel implementation of the fast multipole method with periodic boundary conditions", journal = j-EW-J-NUM-MATH, volume = "3", number = "3", pages = "199--216", year = "1995", CODEN = "EJNMEA", ISSN = "0928-0200", MRclass = "65Y05 (65N99 70F10)", MRnumber = "96i:65126", MRreviewer = "N. Gass", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "East-West Journal of Numerical Mathematics", keywords = "fast multipole method", } @Article{Singh:1995:IHB, author = "Jaswinder Pal Singh and John L. Hennessy and Anoop Gupta", title = "Implications of Hierarchical {$N$}-Body Methods for Multiprocessor Architectures", journal = j-TOCS, volume = "13", number = "2", pages = "141--202", month = may, year = "1995", CODEN = "ACSYEC", ISSN = "0734-2071 (print), 1557-7333 (electronic)", ISSN-L = "0734-2071", bibdate = "Wed Jan 13 18:36:53 MST 1999", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.acm.org:80/pubs/citations/journals/tocs/1995-13-2/p141-singh/", abstract = "To design effective large-scale multiprocessors, designers need to understand the characteristics of the applications that will use the machines. Application characteristics of particular interest include the amount of communication relative to computation, the structure of the communication, and the local cache and memory requirements, as well as how these characteristics scale with larger problems and machines. One important class of applications is based on hierarchical N-body methods, which are used to solve a wide range of scientific and engineering problems efficiently. Important characteristics of these methods include the nonuniform and dynamically changing nature of the domains to which they are applied, and their use of long-range, irregular communication. This article examines the key architectural implications of representative applications that use the two dominant hierarchical N-body methods: the Barnes--Hut Method and the Fast Multipole Method. We first show that exploiting temporal locality on accesses to communicated data is critical to obtaining good performance on these applications and then argue that coherent caches on shared-address-space machines exploit this locality both automatically and very effectively. Next, we examine the implications of scaling the applications to run on larger machines. We use scaling methods that reflect the concerns of the application scientist and find that this leads to different conclusions about how communication traffic and local cache and memory usage scale than scaling based only on data set size. In particular, we show that under the most realistic form of scaling, both the communication-to-computation ratio as well as the working-set size (and hence the ideal cache size per processor) grow slowly as larger problems are run on larger machines. Finally, we examine the effects of using the two dominant abstractions for interprocessor communication: a shared address space and explicit message passing between private address spaces. We show that the lack of an efficiently supported shared address space will substantially increase the programming complexity and performance overheads for these applications.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Computer Systems", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J774", keywords = "algorithms; experimentation; measurement; performance", subject = "{\bf C.1.2} Computer Systems Organization, PROCESSOR ARCHITECTURES, Multiple Data Stream Architectures (Multiprocessors). {\bf C.0} Computer Systems Organization, GENERAL, System architectures. {\bf C.4} Computer Systems Organization, PERFORMANCE OF SYSTEMS. {\bf C.5.1} Computer Systems Organization, COMPUTER SYSTEM IMPLEMENTATION, Large and Medium (``Mainframe'') Computers.", } @Article{Singh:1995:LBD, author = "Jaswinder Pal Singh and Chris Holt and Takashi Totsuka and Anoop Gupta and John Hennessy", title = "Load Balancing and Data Locality in Adaptive Hierarchical {$N$}-Body Methods: {Barnes--Hut}, Fast Multipole, and Radiosity", journal = j-J-PAR-DIST-COMP, volume = "27", number = "2", pages = "118--141", month = jun, year = "1995", CODEN = "JPDCER", DOI = "https://doi.org/10.1006/jpdc.1995.1077", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Fri Mar 10 07:23:18 2000", bibsource = "http://www.idealibrary.com/servlet/useragent?func=showAllIssues&curIssueID=jpdc; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.idealibrary.com/links/doi/10.1006/jpdc.1995.1077/production; http://www.idealibrary.com/links/doi/10.1006/jpdc.1995.1077/production/pdf; http://www.math.utah.edu/pub/tex/bib/jpardistcomp.bib", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques); C6150J (Operating systems); C6150N (Distributed systems software)", corpsource = "Comput. Syst. Lab., Stanford Univ., CA, USA", fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", keywords = "adaptive hierarchical N-body; automatic scheduler; Barnes--Hut; Barnes--Hut method; calculations; computer graphics; data locality; decomposition techniques; fast multipole; fast multipole method; load balancing; methods; parallel performance; partitioning; radiosity; resource allocation; scheduling; scheduling techniques", treatment = "A Application; P Practical", } @Article{Solvason:1995:RCE, author = "D. Solvason and J. Kolafa and H. G. Petersen and J. W. Perram", title = "A rigorous comparison of the {Ewald} method and the fast multipole method in two dimensions", journal = j-COMP-PHYS-COMM, volume = "87", number = "3", pages = "307--318", month = jun, year = "1995", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(95)00027-D", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Apr 24 08:14:28 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @InProceedings{Song:1995:FMM, author = "J. M. Song and W. C. Chew", title = "Fast Multipole Method Solution of Three Dimensional Integral Equation", crossref = "IEEE:1995:IAP", pages = "1528--1531", year = "1995", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Stalzer:1995:PFMa, author = "Mark A. Stalzer", title = "A parallel fast multipole method for the {Helmholtz} equation", journal = j-PARALLEL-PROCESS-LETT, volume = "5", number = "2", pages = "263--274", month = jun, year = "1995", CODEN = "PPLTEE", ISSN = "0129-6264 (print), 1793-642X (electronic)", MRclass = "65Y05 (65F50 65N22)", MRnumber = "97k:65306", MRreviewer = "I. Norman Katz", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/parallelprocesslett.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, affiliation = "Hughes Research Lab", classification = "716.1; 721.1; 722.4; 723.2; 921.1; 921.6; C4130 (Interpolation and function approximation); C4170 (Differential equations); C4240C (Computational complexity); C4240P (Parallel programming and algorithm theory)", corpsource = "Hughes Res. Labs., Malibu, CA, USA", countrypub = "Singapore", fjournal = "Parallel Processing Letters", journal-URL = "http://www.worldscientific.com/loi/ppl", journalabr = "Parallel Process Lett", keywords = "algorithm; antenna radiation patterns; communications costs; Computational complexity; computational complexity; Data communication systems; Fast multipole method; Helmholtz equation; Helmholtz equations; impedance matrix; iterative; Iterative methods; iterative solvers; Matrix algebra; matrix-vector; methods; multiplication; Paragon XP/S; parallel; Parallel algorithms; parallel algorithms; parallel fast multipole method; Parallel processing systems; product; radar cross sections; sparse components; Time complexity analysis; time complexity analysis; Vectors", treatment = "P Practical; T Theoretical or Mathematical", } @InProceedings{Stalzer:1995:PFMb, author = "M. A. Stalzer", title = "Parallelizing the Fast Multipole Method for the {Helmholtz} Equation", crossref = "Bailey:1995:PSS", pages = "325--330", year = "1995", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Warren:1995:PPP, author = "Michael S. Warren and John K. Salmon", title = "A portable parallel particle program", journal = j-COMP-PHYS-COMM, volume = "87", number = "1--2", pages = "266--290", day = "2", month = may, year = "1995", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(94)00177-4", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", URL = "http://qso.lanl.gov/papers/cpc/v9.ps", acknowledgement = ack-jks # " and " # ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @InProceedings{Warren:1995:PPV, author = "Michael S. Warren and John K. Salmon", title = "A parallel, portable and versatile treecode", crossref = "Bailey:1995:PSS", pages = "319--324", year = "1995", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://qso.lanl.gov/papers/siam95/pp.ps", acknowledgement = ack-jks # " and " # ack-nhfb, keywords = "fast multipole method", } @InProceedings{Winckelmans:1995:AFP, author = "G. S. Winckelmans and J. K. Salmon and M. S. Warren and A. Leonard and B. Jodoin", title = "Application of Fast Parallel and Sequential Tree Codes to Computing Three-Dimensional Flows with Vortex Element and Boundary Element Methods", crossref = "Beale:1993:VFR", pages = "??--??", year = "1995", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-jks # " and " # ack-nhfb, keywords = "fast multipole method", } @InProceedings{Winckelmans:1995:FST, author = "Gr{\'e}goire S. Winckelmans and John K. Salmon and Michael S. Warren and Anthony Leonard", title = "The fast solution of three-dimensional fluid dynamical {$N$}-body problems using parallel tree codes: vortex element method and boundary element method", crossref = "Bailey:1995:PSS", year = "1995", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-jks # " and " # ack-nhfb, keywords = "fast multipole method", } @InCollection{Windemuth:1995:AAM, author = "A. Windemuth.", title = "Advanced algorithms for molecular dynamics simulation: {The} program {PMD}", crossref = "Mattson:1995:PCC", pages = "151--169", year = "1995", bibdate = "Sat Apr 24 09:53:23 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Xu:1995:NPB, author = "G. Xu", title = "A New Parallel {$N$}-Body Gravity Solver: {TPM}", journal = j-ASTROPHYSICAL-J-SUPPL-SER, volume = "98", number = "??", pages = "335--??", month = may, year = "1995", CODEN = "APJSA2", ISSN = "0067-0049 (print), 1538-4365 (electronic)", ISSN-L = "0067-0049", bibdate = "Sat Nov 24 07:13:23 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Astrophysical Journal. Supplement Series", } @Article{Zhou:1995:NMD, author = "Ruhong Zhou and Bruce J. Berne", title = "A new molecular dynamics method combining the reference system propagator algorithm with a fast multipole method for simulating proteins and other complex systems", journal = j-J-CHEM-PHYS, volume = "103", number = "21", pages = "9444--9459", month = "????", year = "1995", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Thu Apr 22 16:02:15 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Adamson:1996:CCT, author = "Ross A. Adamson and Jeremy P. Dombroski and Peter M. W. Gill", title = "Chemistry without {Coulomb} tails", journal = j-CHEM-PHYS-LETT, volume = "254", number = "5-6", pages = "329--336", year = "1996", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Aluru:1996:GBA, author = "Srinivas Aluru", title = "{Greengard}'s {$N$}-body algorithm is not order {$N$}", journal = j-SIAM-J-SCI-COMP, volume = "17", number = "3", pages = "773--776", month = may, year = "1996", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "70-08 (70F10)", MRnumber = "97a:70002", bibdate = "Fri Dec 4 14:47:53 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/17/3; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/27203", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Becciani:1996:WDS, author = "U. Becciani and V. Antonuccio-Delogu and A. Pagliaro", title = "A work- and data-sharing parallel tree {$N$}-body code", journal = j-COMP-PHYS-COMM, volume = "99", number = "1", pages = "9--20", month = dec, year = "1996", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/S0010-4655(96)00121-X", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Tue Jan 03 19:19:12 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Bhanot:1996:HDP, author = "B. Bhanot and J. Janak and R. Walkup and V. Sonnad", title = "Hierarchical decomposition: {A} parallel implementation of the {Barnes--Hut} tree algorithm", journal = j-INT-J-HIGH-SPEED-COMPUTING, volume = "8", number = "1", pages = "1--12", month = "????", year = "1996", CODEN = "IHSCEZ", ISSN = "0129-0533", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "ftp://ftp.ira.uka.de/bibliography/Misc/Bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; OCLC Article1st database", acknowledgement = ack-nhfb, fjournal = "International Journal of High Speed Computing", journal-URL = "http://www.worldscientific.com/worldscinet/ijhsc", keywords = "fast multipole method", } @InProceedings{Bindiganavale:1996:DNR, author = "S. S. Bindiganavale and J. L. Volakis and H. Wang", title = "Dielectric Nose Radome Scattering by Using the Fast Multipole Method to Calculate the {RCS} of Large Objects", crossref = "IEEE:1996:IAP", pages = "930--933", year = "1996", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Bindiganavale:1996:GUFa, author = "S. S. Bindiganavale and J. L. Volakis", title = "Guidelines for Using the Fast Multipole Method to Calculate the {RCS} of Large Objects", crossref = "Anonymous:1996:PAC", pages = "596--603", year = "1996", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Bindiganavale:1996:GUFb, author = "S. S. Bindiganavale and J. L. Volakis", title = "Guidelines for using the fast multipole method to calculate the {RCS} for large objects", journal = j-MICROW-OPT-TECHNOL-LETT, volume = "11", number = "4", pages = "190--??", month = "????", year = "1996", CODEN = "MOTLEO", ISSN = "0895-2477 (print), 1098-2760 (electronic)", ISSN-L = "0895-2477", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Microwave and Optical Technology Letters", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2760", keywords = "fast multipole method", } @Article{Burant:1996:AEG, author = "J. C. Burant and M. C. Strain and G. E. Scuseria and M. J. Frisch", title = "Analytic energy gradients for the {Gaussian} very fast multipole method ({GvFMM})", journal = j-CHEM-PHYS-LETT, volume = "248", number = "1--2", pages = "43--49", day = "5", month = jan, year = "1996", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Burant:1996:KSA, author = "J. C. Burant and M. C. Strain and G. E. Scuseria and M. J. Frisch", title = "{Kohn--Sham} analytic energy second derivatives with the {Gaussian} very fast multipole method ({GvFMM})", journal = j-CHEM-PHYS-LETT, volume = "258", number = "1--2", pages = "45--52", day = "9", month = aug, year = "1996", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Burkholder:1996:HFA, author = "Robert J. Burkholder and Do-Hoon Kwon", title = "High-frequency asymptotic acceleration of the fast multipole method", journal = j-RADIO-SCI, volume = "31", number = "5", pages = "1199--??", month = "????", year = "1996", CODEN = "RASCAD", ISSN = "0048-6604 (print), 1944-799x (electronic)", ISSN-L = "0048-6604", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Paper 96RS01785.", acknowledgement = ack-nhfb, fjournal = "Radio Science", keywords = "fast multipole method", } @Unpublished{Demmel:1996:FHMa, author = "James Demmel", title = "Fast Hierarchical Methods for the {$N$}-body Problem, Part 1 {(CS 267, Apr 16 1996)}", day = "16", month = apr, year = "1996", bibdate = "Fri Apr 23 18:51:45 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "CS 267 class notes.", URL = "http://www.cs.berkeley.edu/~demmel/cs267/lecture26/lecture26.html", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Unpublished{Demmel:1996:FHMb, author = "James Demmel", title = "Fast Hierarchical Methods for the {$N$}-body Problem, Part 2 {(CS 267, Apr 16 1996)}", day = "16", month = apr, year = "1996", bibdate = "Fri Apr 23 18:51:45 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "CS 267 class notes.", URL = "http://www.cs.berkeley.edu/~demmel/cs267/lecture27/lecture27.html", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Dikaiakos:1996:FAS, author = "Marios D. Dikaiakos and Anne Rogers and Kenneth Steiglitz", title = "Functional algorithm simulation of the fast multipole method: {Architectural} implications", journal = j-PARALLEL-PROCESS-LETT, volume = "6", number = "1", pages = "55--66", month = mar, year = "1996", CODEN = "PPLTEE", ISSN = "0129-6264 (print), 1793-642X (electronic)", bibdate = "Mon Apr 14 10:50:40 MDT 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/parallelprocesslett.bib", acknowledgement = ack-nhfb, affiliation = "Univ of Washington", classification = "716.1; 721.1; 722.4; 723.2; 723.5; C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming)C4240C (Computational complexity); C6150N (Distributed systems software)", corpsource = "Dept. of Astron., Washington Univ., Seattle, WA, USA", countrypub = "Singapore", fjournal = "Parallel Processing Letters", journal-URL = "http://www.worldscientific.com/loi/ppl", journalabr = "Parallel Process Lett", keywords = "communication; communication characteristics; computation; computational complexity; Computational methods; computer architecture; Computer simulation; Data communication systems; Electric network topology; Fast multipole method; fast multipole method; Functional algorithm simulation; functional algorithm simulation; message-passing multiprocessor; Multiprocessing systems; multiring architecture; N-body problem solution; parallel; parallel algorithm; Parallel algorithms; parallel algorithms; patterns; processing; speedup; time", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Dombroski:1996:KCE, author = "Jeremy P. Dombroski and Stephen W. Taylor and Peter M. W. Gill", title = "{KWIK} --- {Coulomb} energies in {$ O(N) $} work", journal = j-J-PHYS-CHEM, volume = "100", pages = "6272--6276", month = apr # " 11", year = "1996", CODEN = "JPCHAX", ISSN = "0022-3654 (print), 1541-5740 (electronic)", ISSN-L = "0022-3654", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "J. Phys. Chem.", journal-URL = "http://pubs.acs.org/journal/jpchax", keywords = "fast multipole method", } @Article{Dubinski:1996:PTC, author = "John Dubinski", title = "A parallel tree code", journal = j-NEW-ASTRON, volume = "1", number = "2", pages = "133--147", month = oct, year = "1996", CODEN = "NEASFS", DOI = "https://doi.org/10.1016/S1384-1076(96)00009-7", ISSN = "1384-1076 (print), 1384-1092 (electronic)", ISSN-L = "1384-1076", bibdate = "Tue Sep 28 06:55:08 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "We describe a new implementation of a parallel N-body tree code. The code is load-balanced using the method of orthogonal recursive bisection to subdivide the $N$-body system into independent rectangular volumes each of which is mapped to a processor on a parallel computer. On the Cray T3D, the load balance is in the range of 70--90\% depending on the problem size and number of processors. The code can handle simulations with $ > 10 $ million particles, roughly a factor of $ 10 $ greater than allowed on vectorized tree codes.", acknowledgement = ack-nhfb, fjournal = "New Astronomy", journal-URL = "http://www.sciencedirect.com/science/journal/13841076", keywords = "cosmology: theory; fast multipole method; galaxies: formation; galaxies: kinematics and dynamics; methods: numerical", } @Article{Dutt:1996:FAP, author = "A. Dutt and M. Gu and V. Rokhlin", title = "Fast Algorithms for Polynomial Interpolation, Integration, and Differentiation", journal = j-SIAM-J-NUMER-ANAL, volume = "33", number = "5", pages = "1689--1711", month = oct, year = "1996", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65D05 (65Yxx)", MRnumber = "1 411 845", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/33/5; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "fast multipole method", } @Article{Elliott:1996:FFT, author = "William D. Elliott and John A. {Board, Jr.}", title = "Fast {Fourier} Transform Accelerated Fast Multipole Algorithm", journal = j-SIAM-J-SCI-COMP, volume = "17", number = "2", pages = "398--415", month = mar, year = "1996", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65T10 (31C20 70-08 70F10 78-08 78A30)", MRnumber = "97b:65154", MRreviewer = "Manfred Tasche", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Fenley:1996:FAM, author = "Marcia O. Fenley and Wilma K. Olson and Kiat Chua and Alexander H. Boschitsch", title = "Fast adaptive multipole method for computation of electrostatic energy in simulations of polyelectrolyte {DNA}", journal = j-J-COMPUT-CHEM, volume = "17", number = "8", pages = "976--991", month = jun, year = "1996", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/(SICI)1096-987X(199606)17:8<976::AID-JCC7>3.0.CO;2-O", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 15:11:09 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Dec 1998", } @Article{Franklin:1996:GMI, author = "Mark A. Franklin and Vasudha Govindan", title = "A general matrix iterative model for dynamic load balancing", journal = j-PARALLEL-COMPUTING, volume = "22", number = "7", pages = "969--989", day = "1", month = oct, year = "1996", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Fri Aug 6 10:15:03 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1996&volume=22&issue=7; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1996&volume=22&issue=7&aid=1077", acknowledgement = ack-nhfb, affiliation = "Washington Univ", affiliationaddress = "St. Louis, MO, USA", classification = "722.4; 723.1; 723.5; 921.1; 921.5; 921.6; B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C5470 (Performance evaluation and testing); C6150J (Operating systems); C7320 (Physics and chemistry computing)", corpsource = "Comput. and Commun. Res. Center, Washington Univ., St. Louis, MO, USA", fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", journalabr = "Parallel Comput", keywords = "algorithm parameters; allocation; application; balancing algorithms; Computer simulation; developers; Dynamic load balancing; dynamic load balancing; general matrix iterative model; Iterative methods; iterative methods; iterative model; Mathematical models; matrix; Matrix algebra; matrix algebra; Matrix iterative model; N-body problems; optimal; Optimization; Parallel algorithms; parallel computing systems; Parallel N body simulation; parallel N-body; Parallel processing systems; Performance; performance; performance evaluation; performance tool; physics computing; Program processors; redistribution algorithms; resource; simulation; time-varying workload distributions", treatment = "A Application; P Practical", } @InProceedings{Fukushige:1996:BSG, author = "T. Fukushige and J. Makino", title = "{$N$}-Body Simulation of Galaxy Formation on {GRAPE-4} Special-Purpose Computer", crossref = "ACM:1996:SCP", pages = "48--??", year = "1996", DOI = "https://doi.org/10.1109/SUPERC.1994.344306", bibdate = "Sat Nov 24 08:10:28 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Greengard:1996:DAP, author = "Leslie Greengard and June-Yub Lee", title = "A direct adaptive {Poisson} solver of arbitrary order accuracy", journal = j-J-COMPUT-PHYS, volume = "125", number = "2", pages = "415--424", month = may, year = "1996", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1996.0103", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65M55 (65N55)", MRnumber = "MR1388155 (96m:65090)", bibdate = "Mon Jan 2 07:55:09 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999196901035", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Greengard:1996:IEM, author = "Leslie Greengard and Mary Catherine Kropinski and Anita Mayo", title = "Integral equation methods for {Stokes} flow and isotropic elasticity in the plane", journal = j-J-COMPUT-PHYS, volume = "125", number = "2", pages = "403--414", month = may, year = "1996", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1996.0102", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "73C02 (73V35 76D07)", MRnumber = "MR1388154 (97a:73022)", bibdate = "Mon Jan 2 07:55:09 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999196901023", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Gurel:1996:ESS, author = "L. Gurel and M. I. Aksun", title = "Electromagnetic Scattering Solution of Conducting Strips in Layered Media Using the Fast Multipole Method", journal = j-IEEE-MICROW-GUIDED-WAVE-LETT, volume = "6", number = "8", pages = "277--277", month = "????", year = "1996", CODEN = "IMGLE3", DOI = "https://doi.org/10.1109/75.508552", ISSN = "1051-8207 (print), 1558-2329 (electronic)", ISSN-L = "1051-8207", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Microwave and Guided Wave Letters", keywords = "fast multipole method", } @InProceedings{Gurel:1996:FMM, author = "L. Gurel and M. I. Aksun", title = "Fast Multipole Method in Layered Media: {2-D} Electromagnetic Scattering Problems", crossref = "IEEE:1996:IAP", pages = "1734--1737", year = "1996", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Hu:1996:DPI, author = "Yu Hu and S. Lennart Johnsson", title = "A Data-Parallel Implementation of Hierarchical {$N$}-Body Methods", journal = j-IJSAHPC, volume = "10", number = "1", pages = "3--40", month = "Spring", year = "1996", CODEN = "IJSCFG", ISSN = "1078-3482", bibdate = "Thu Aug 22 17:34:45 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Supercomputer Applications and High Performance Computing", journal-URL = "http://hpc.sagepub.com/content/by/year", keywords = "fast multipole method", } @Article{Kutteh:1996:RCG, author = "R. Kutteh and E. Apra and J. Nichols", title = "Reply to Comment on {``A generalized fast multipole approach for Hartree--Fock and density functional computations''}", journal = j-CHEM-PHYS-LETT, volume = "248", number = "5--6", pages = "484--485", month = "????", year = "1996", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Lambert:1996:MBA, author = "Christophe G. Lambert and Thomas A. Darden and John A. {Board, Jr.}", title = "A multipole-based algorithm for efficient calculation of forces and potentials in macroscopic periodic assemblies of particles", journal = j-J-COMPUT-PHYS, volume = "126", number = "2", pages = "274--285", month = jul, year = "1996", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1996.0137", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:55:10 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999196901370", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Book{Leszczynski:1996:CCR, editor = "Jerzy Leszczynski", title = "Computational chemistry: reviews of current trends", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "????", year = "1996", ISBN = "981-02-2572-5 (hardcover), 981-02-2843-0 (paperback)", ISBN-13 = "978-981-02-2572-8 (hardcover), 978-981-02-2843-9 (paperback)", LCCN = "QD39.3.M3C66 1996", bibdate = "Mon Dec 06 18:39:51 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, annote = "Contains a chapter on fast multipole methods in quantum chemistry.", keywords = "fast multipole method", } @InProceedings{Lu:1996:AFA, author = "C.-C. Lu and J.-M. Song and Weng Cho Chew and E. Michielssen", title = "The Application of Far-Field Approximation to Accelerate the Fast Multipole Method", crossref = "IEEE:1996:IAP", pages = "1738--1741", year = "1996", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Lu:1996:AFMa, author = "Ninglong Lu and Jian-Ming Jin", title = "Application of Fast Multipole Method to Finite-Element Boundary-Integral Solution of Scattering Problems", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "44", number = "6", pages = "781--786", month = "????", year = "1996", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/8.509880", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "part 1", MRnumber = "97b:78002", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @InProceedings{Lu:1996:AFMb, author = "N. Lu and J.-M. Jin", title = "Application of Fast Multipole Method to Finite Element-Boundary Integral Solution of Scattering Problems", crossref = "Anonymous:1996:PAC", pages = "1182--1189", year = "1996", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Lu:1996:MPF, author = "E. J.-L. Lu and D. I. Okunbor", title = "A Massively Parallel Fast Multipole Algorithm in Three Dimensions", crossref = "IEEE:1996:PFI", pages = "40--48", year = "1996", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Lu:1996:PIF, author = "E. J.-L. Lu and D. I. Okunbor", title = "Parallel implementation of {3D FMA} using {MPI}", crossref = "IEEE:1996:PSM", pages = "119--124", year = "1996", bibdate = "Sat Apr 19 16:34:54 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A0320 (Classical mechanics of discrete systems: general mathematical aspects); A0545 (Theory and models of chaotic systems); A9510C (Celestial mechanics); A9575P (Mathematical and computer techniques in astronomy); C4240C (Computational complexity); C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming); C6150E (General utility programs)C7330 (Biology and medical computing); C6150N (Distributed systems software); C7320 (Physics and chemistry computing); C7350 (Astronomy and astrophysics computing)", conftitle = "Proceedings. Second MPI Developer's Conference", corpsource = "Dept. of Comput. Sci., Missouri Univ., Rolla, MO, USA", keywords = "3D fast multipole algorithm; application program interfaces; astronomy computing; astrophysics; biochemistry; biology computing; biomolecular dynamics; biophysics; chaos; chaotic characteristics; chemistry computing; communication back-end; communication overhead; computational complexity; digital simulation; galactic system; load balancing; long-range force calculation; message passing; Message Passing Interface; MPI; N-body problems; N-body systems simulation; parallel algorithms; parallel implementation; partitioning technique; physics computing; portable scalable parallel library; resource allocation; time complexity", sponsororg = "IEEE Comput. Soc. Tech. Committee on Distributed Process", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Macdonald:1996:FSM, author = "P. A. Macdonald and T. Itoh", title = "Fast Simulation of Microstrip Structures Using the Fast Multipole Method", journal = j-INT-J-NUMER-MODEL, volume = "9", number = "5", pages = "345--??", month = "????", year = "1996", CODEN = "IJNFEX", ISSN = "0894-3370 (print), 1099-1204 (electronic)", ISSN-L = "0894-3370", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International journal of numerical modelling", keywords = "fast multipole method", } @Article{McKenney:1996:AFM, author = "A. McKenney", title = "An Adaptation of the Fast Multipole Method for Evaluating Layer Potentials in Two Dimensions", journal = j-COMPUT-MATH-APPL, volume = "31", number = "1", pages = "33--57", month = "????", year = "1996", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", MRclass = "65D20", MRnumber = "96g:65028", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computers \& Mathematics with Applications. An International Journal", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", keywords = "fast multipole method", } @InProceedings{McKenney:1996:MDS, author = "A. McKenney and R. Pachter and S. Patnaik and W. Adams", title = "Molecular Dynamics Simulations of a Siloxane-Based Liquid Crystal Using an Improved Fast Multipole Algorithm Implementation", crossref = "Kaxiras:1996:MTS", pages = "99--106", year = "1996", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Niedermeier:1996:FVS, author = "C. Niedermeier and P. Tavan", title = "Fast Version of the Structure Adapted Multipole Method-Efficient Calculation of Electrostatic Forces in Protein Dynamics", journal = j-MOL-SIM, volume = "17", number = "1", pages = "57--??", month = "????", year = "1996", CODEN = "MOSIEA", ISSN = "0892-7022 (print), 1029-0435 (electronic)", ISSN-L = "0892-7022", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Molecular simulation", keywords = "fast multipole method", } @InProceedings{Okunbor:1996:IMB, author = "Daniel I. Okunbor", booktitle = "Proceedings of Dynamic Systems and Applications, Vol.\ 2 ({Atlanta, GA, 1995})", title = "Integration methods for {$N$}-body problems", publisher = "Dynamic", address = "Atlanta, GA", pages = "435--442", year = "1996", MRclass = "65L05", MRnumber = "MR1419559 (97h:65092)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Perez-Jorda:1996:CRS, author = "Jose M. Perez-Jorda and Weitao Yang", title = "A concise redefinition of the solid spherical harmonics and its use in fast multipole methods", journal = j-J-CHEM-PHYS, volume = "104", number = "20", pages = "8003--??", month = "????", year = "1996", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Book{Pfalzner:1996:MBT, author = "Susanne Pfalzner and Paul Gibbon", title = "Many-body tree methods in physics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "ix + 168", year = "1996", ISBN = "0-521-49564-4 (hardcover), 0-511-52936-8 (electronic)", ISBN-13 = "978-0-521-49564-6 (hardcover), 978-0-511-52936-8 (electronic)", LCCN = "QC174.17.P7 P44 1996", bibdate = "Tue Oct 26 14:40:21 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/cam027/95036237.htm; http://www.loc.gov/catdir/toc/cam023/95036237.htm", acknowledgement = ack-nhfb, keywords = "fast multipole method", subject = "Many-body problem; Algorithms; Mathematical physics", tableofcontents = "Frontmatter: i--vi \\ Contents: vii--viii \\ Preface: ix--x \\ Errata: xi--xii \\ 1: Introduction: 1--8 \\ 2: Basic Principles of the Hierarchical Tree Method: 9--36 \\ 3: Open Boundary Problems: 37--64 \\ 4: Optimisation of Hierarchical Tree Codes: 65--87 \\ 5: Periodic Boundary Conditions: 88--108 \\ 6: Periodic Boundary Problems: 109--125 \\ 7: The Fast Multipole Method: 126--148 \\ Appendix 1: Multipole Expansion in Two Dimensions: 149--151 \\ Appendix 2: Spherical Harmonics: 152--154 \\ Appendix 3: Near-Neighbour Search: 155--156 \\ References: 157--164 \\ Index: 165--168", } @Article{Pollock:1996:CPF, author = "E. L. Pollock and J. Glosli", title = "Comments on {P$^3$M}, {FMM}, and the {Ewald} method for large periodic {Coulombic} systems", journal = j-COMP-PHYS-COMM, volume = "95", number = "2--3", pages = "93--110", month = jun, year = "1996", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(96)00043-4", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Apr 24 08:08:47 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "fast multipole method", } @Article{Rahola:1996:DFT, author = "Jussi Rahola", title = "Diagonal forms of the translation operators in the fast multipole algorithm for scattering problems", journal = j-BIT-NUM-MATH, volume = "36", number = "2", pages = "333--358", month = jun, year = "1996", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01731987", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65R20 (65F10 78-08 78A45)", MRnumber = "97k:65298", MRreviewer = "Wojciech Mydlarczyk", bibdate = "Wed Jan 4 18:52:24 MST 2006", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=36&issue=2; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://www.mai.liu.se/BIT/contents/bit36.html; http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=36&issue=2&spage=333", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "fast multipole method", } @Article{Ringbom:1996:FSG, author = "A. Ringbom and G. Tibell and R. Zorro and J. Blomgren and H. Conde and K. Elmgren and S. Hultqvist and J. Nilsson and N. Olsson and C. Fahlander and L. Nilsson and J. Nyberg and D. Reistad and P.-U. Renberg and L. Westerberg and A. Likar and S. Wender", title = "A facility for studies of giant multipole resonances by fast heavy-ion scattering", journal = j-NUCLEAR-INSTR-METH-PHYS-RES-A, volume = "373", number = "1", pages = "57--??", month = "????", year = "1996", CODEN = "NIMAER", ISSN = "0168-9002, 0167-5087", ISSN-L = "0168-9002", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Nuclear instruments and methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment", keywords = "fast multipole method", } @Article{Salmon:1996:GCC, author = "John Salmon", title = "Generation of correlated and constrained {Gaussian} stochastic processes for {$N$}-body simulations", journal = j-ASTROPHYSICAL-J, volume = "460", number = "1//1", pages = "59--??", year = "1996", CODEN = "ASJOAB", ISSN = "0004-637X (print), 1538-4357 (electronic)", ISSN-L = "0004-637X", bibsource = "http://www.ccsf.caltech.edu/~johns/papers.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-jks # " and " # ack-nhfb, fjournal = "Astrophysical Journal", journal-URL = "http://iopscience.iop.org/0004-637X/", keywords = "fast multipole method", } @Article{Scherbinin:1996:UME, author = "A. V. Scherbinin and V. I. Pupyshev and N. F. Stepanov", title = "On the Use of Multipole Expansion of the {Coulomb} Potential in Quantum Chemistry", journal = j-IJQC, volume = "60", number = "4", pages = "843--??", month = "????", year = "1996", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Fri Mar 7 21:33:39 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "fast multipole method", } @InProceedings{Song:1996:MFM, author = "J. M. Song and C. C. Lu and W. C. Chew", title = "Multilevel Fast Multipole Algorithm ({MLFMA}) for Complex Objects", crossref = "IEEE:1996:IAP", pages = "1730--1733", year = "1996", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Strain:1996:ALS, author = "Matthew C. Strain and Gustavo E. Scuseria and Michael J. Frisch", title = "Achieving linear scaling for the electronic quantum {Coulomb} problem", journal = j-SCIENCE, volume = "271", number = "5245", pages = "51--53", day = "5", month = jan, year = "1996", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Apr 24 08:15:01 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", keywords = "fast multipole method", } @InProceedings{Strickland:1996:POF, author = "James H. Strickland and Roy S. Baty", title = "A pragmatic overview of fast multipole methods", crossref = "Renegar:1996:MNA", pages = "807--830", year = "1996", MRclass = "65D30 (65R20)", MRnumber = "97k:65059", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Wang:1996:EFM, author = "H. Y. Wang and R. LeSar", title = "An efficient fast multipole algorithm based on an expansion in the solid harmonics", journal = j-J-CHEM-PHYS, volume = "104", number = "11", pages = "4173--4179", month = "????", year = "1996", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Thu Apr 22 15:57:10 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{White:1996:CGF, author = "C. A. White and B. G. Johnson and P. M. W. Gill and M. Head-Gordon", title = "Comment on {``A generalized fast multipole approach for Hartree--Fock and density functional computations''}", journal = j-CHEM-PHYS-LETT, volume = "248", number = "5", pages = "482--??", month = "????", year = "1996", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{White:1996:FTF, author = "C. A. White and M. Head-Gordon", title = "Fractional tiers in fast multipole method calculations", journal = j-CHEM-PHYS-LETT, volume = "257", number = "5", pages = "647--??", month = "????", year = "1996", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{White:1996:LSD, author = "C. A. White and B. G. Johnson and P. M. W. Gill and M. Head-Gordon", title = "Linear scaling density functional calculations via the continuous fast multipole method", journal = j-CHEM-PHYS-LETT, volume = "253", number = "3", pages = "268--??", month = "????", year = "1996", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{White:1996:RAQ, author = "Christopher A. White and Martin Head-Gordon", title = "Rotating around the quartic angular momentum barrier in fast multipole method calculations", journal = j-J-CHEM-PHYS, volume = "105", number = "12", pages = "5061--??", month = "????", year = "1996", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @InCollection{Atkinson:1997:NSB, author = "Kendall E. Atkinson", booktitle = "The state of the art in numerical analysis ({York, 1996})", title = "The numerical solution of boundary integral equations", volume = "63", publisher = "Oxford Univ. Press", address = "New York", pages = "223--259", year = "1997", MRclass = "65N38 (35J05 45L05)", MRnumber = "MR1628348 (99g:65117)", MRreviewer = "Jacob Steinberg", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Inst. Math. Appl. Conf. Ser. New Ser.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Beatson:1997:FER, author = "R. K. Beatson and W. A. Light", title = "Fast evaluation of radial basis functions: methods for two-dimensional polyharmonic splines", journal = j-IMA-J-NUMER-ANAL, volume = "17", number = "3", pages = "343--372", year = "1997", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D07 (41A15)", MRnumber = "MR1459329 (98d:65016)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", keywords = "fast multipole method", } @InProceedings{Beatson:1997:SCF, author = "Rick Beatson and Leslie Greengard", title = "A short course on fast multipole methods", crossref = "Ainsworth:1997:WMM", pages = "1--37", year = "1997", MRclass = "65N30 (65N55 70-08 78-08)", MRnumber = "1 600 672", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Becciani:1997:PTC, author = "U. Becciani and R. Ansaloni and V. Antonuccio-Delogu and G. Erbacci and M. Gambera and A. Pagliaro", title = "A parallel tree code for large {$N$}-body simulation: dynamic load balance and data distribution on a {CRAY} {T3D} system", journal = j-COMP-PHYS-COMM, volume = "106", number = "1--2", pages = "105--113", day = "2", month = oct, year = "1997", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/S0010-4655(97)00102-1", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:30:20 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465597001021", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Bishop:1997:DMT, author = "Thomas C. Bishop and Robert D. Skeel and Klaus Schulten", title = "Difficulties with multiple time stepping and fast multipole algorithm in molecular dynamics", journal = j-J-COMPUT-CHEM, volume = "18", number = "14", pages = "1785--1791", day = "15", month = nov, year = "1997", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/(SICI)1096-987X(19971115)18:14<1785::AID-JCC7>3.0.CO;2-G", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 15:11:16 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Dec 1998", } @InProceedings{Blackston:1997:HPE, author = "David Blackston and Torsten Suel", title = "Highly Portable and Efficient Implementations of Parallel Adaptive {$N$}-Body Methods", crossref = "ACM:1997:SHP", pages = "1--20", year = "1997", bibdate = "Sat Nov 24 07:54:40 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.supercomp.org/sc97/proceedings/TECH/BLACKSTO/INDEX.HTM", acknowledgement = ack-nhfb, } @InProceedings{Blelloch:1997:PCB, author = "Guy Blelloch and Girija Narlikar", title = "A Practical Comparison of {$N$}-Body Algorithms", crossref = "Bhatt:1997:PAT", pages = "81--96", year = "1997", MRclass = "70-08 (68Q22 70F10)", MRnumber = "MR1442042 (98a:70003)", bibdate = "Sat Oct 16 09:05:22 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.cs.cmu.edu/afs/cs.cmu.edu/project/scandal/public/papers/dimacs-nbody.html; http://www.cs.cmu.edu/afs/cs.cmu.edu/project/scandal/public/papers/dimacs-nbody.pdf; http://www.cs.cmu.edu/afs/cs.cmu.edu/project/scandal/public/papers/dimacs-nbody.ps.gz", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Challacombe:1997:PBC, author = "Matt Challacombe and Chris White and Martin Head-Gordon", title = "Periodic boundary conditions and the fast multipole method", journal = j-J-CHEM-PHYS, volume = "107", number = "23", pages = "10131--??", month = "????", year = "1997", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Chen:1997:FMM, author = "Y. H. Chen and W. C. Chew and S. Zeroug", title = "Fast multipole method as an efficient solver for {2D} elastic wave surface integral equations", journal = j-COMP-MECH, volume = "20", number = "6", pages = "495--??", month = "????", year = "1997", CODEN = "CMMEEE", ISSN = "0178-7675 (print), 1432-0924 (electronic)", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Cheng:1997:NEE, author = "Hongwei Cheng and Leslie Greengard", title = "On the numerical evaluation of electrostatic fields in dense random dispersions of cylinders", journal = j-J-COMPUT-PHYS, volume = "136", number = "2", pages = "629--639", year = "1997", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78A25 (78-08)", MRnumber = "MR1474417 (98i:78008)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Chew:1997:FSM, author = "W. C. Chew and J. M. Jin and C. C. Lu and E. Michielssen and J. M. Song", title = "Fast solution methods in electromagnetics", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "45", number = "3", pages = "533--543", month = mar, year = "1997", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/8.558669", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", bibdate = "Thu Apr 22 15:44:16 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @Article{Crowley:1997:AIS, author = "Michael F. Crowley and Tom A. Darden and Thomas E. {Cheatham, III} and David W. {Deerfield, II}", title = "Adventures in Improving the Scaling and Accuracy of a Parallel Molecular Dynamics Program", journal = j-J-SUPERCOMPUTING, volume = "11", number = "3", pages = "255--278", month = nov, year = "1997", CODEN = "JOSUED", ISSN = "0920-8542 (print), 1573-0484 (electronic)", ISSN-L = "0920-8542", bibdate = "Wed Mar 18 08:29:27 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.wkap.nl/oasis.htm/144238", acknowledgement = ack-nhfb, classification = "C5220P (Parallel architecture); C5440 (Multiprocessing systems); C7320 (Physics and chemistry computing)", corpsource = "Supercomput. Center, Pittsburgh, PA, USA", fjournal = "The Journal of Supercomputing", journal-URL = "http://link.springer.com/journal/11227", keywords = "AMBER; electrostatic interactions; molecular dynamics method; parallel molecular dynamics program; parallel processing; particle mesh Ewald method; physics computing; scalability; scaling", pubcountry = "Netherlands", treatment = "A Application; P Practical", } @Article{Darve:1997:FMM, author = "Eric Darve", title = "Fast-multipole method: a mathematical study", journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH, volume = "325", number = "9", pages = "1037--1042", year = "1997", CODEN = "CASMEI", ISSN = "0249-6291", MRclass = "65Mxx", MRnumber = "MR1485626 (98m:65208)", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique", journal-URL = "http://www.sciencedirect.com/science/journal/1631073X", keywords = "fast multipole method", } @Article{Eichinger:1997:FAR, author = "M. Eichinger and H. Grubm{\"u}ller and Helmut Heller and Paul Tavan", title = "{FAMUSAMM}: an algorithm for rapid evaluation of electrostatic interactions in molecular dynamics simulations", journal = j-J-COMPUT-CHEM, volume = "18", number = "14", pages = "1729--1749", day = "15", month = nov, year = "1997", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/(SICI)1096-987X(19971115)18:14<1729::AID-JCC3>3.0.CO;2-M", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 15:11:16 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Dec 1998", } @Article{Figueirido:1997:ELS, author = "Francisco Figueirido and Ronald M. Levy and Ruhong Zholl and B. J. Berne", title = "Erratum: {``Large scale simulation of macromolecules in solution: Combining the periodic fast multipole method with multiple time step integrators''}", journal = j-J-CHEM-PHYS, volume = "107", number = "17", pages = "7002--??", month = "????", year = "1997", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @Article{Figueirido:1997:LSS, author = "Francisco Figueirido and Ronald M. Levy and Ruhong Zhou and B. J. Berne", title = "Large scale simulation of macromolecules in solution: Combining the periodic fast multipole method with multiple time step integrators", journal = j-J-CHEM-PHYS, volume = "106", number = "23", pages = "9835--9849", month = "????", year = "1997", CODEN = "JCPSA6", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", keywords = "fast multipole method", } @InProceedings{Gaspar:1997:FSB, author = "C. Gaspar", title = "Fast solution of boundary integral equations by using multigrid methods and multipole evaluation technique", crossref = "Marchetti:1997:ICB", pages = "603--612", year = "1997", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Greengard:1997:NVF, author = "Leslie Greengard and Vladimir Rokhlin", title = "A new version of the {Fast Multipole Method} for the {Laplace} equation in three dimensions", journal = j-ACTA-NUMERICA, volume = "6", pages = "229--269", year = "1997", CODEN = "ANUMFU", DOI = "https://doi.org/10.1017/S0962492900002725", ISBN = "0-521-59106-6", ISBN-13 = "978-0-521-59106-5", ISSN = "0962-4929 (print), 1474-0508 (electronic)", ISSN-L = "0962-4929", MRclass = "65Nxx, 65C20", MRnumber = "MR1489257 (99c:65012)", MRreviewer = "G. A. Evans", bibdate = "Sat Sep 24 10:23:36 MDT 2011", bibsource = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/Bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/actanumerica.bib", acknowledgement = ack-nhfb, ajournal = "Acta Numer.", fjournal = "Acta Numerica", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU", keywords = "fast multipole method", onlinedate = "07 November 2008", } @InProceedings{Guerel:1997:FRC, author = "L. Guerel", title = "Fast Radar Cross Section ({RCS}) Computation via the Fast Multipole Method", crossref = "Anonymous:1997:RSA", pages = "6--??", year = "1997", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Hoyler:1997:FMM, author = "G. Hoyler and R. Unbehauen", title = "The fast multipole method for {EMC} problems", journal = j-ELECTR-ENG, volume = "80", number = "??", pages = "403--411", month = "????", year = "1997", CODEN = "ELENAC", ISSN = "0095-9197", bibdate = "Thu Apr 22 15:47:48 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Electrical Engineering (American Institute of Electrical Engineers)", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6413714", keywords = "fast multipole method", } @Book{Iserles:1997:AN, editor = "A. Iserles", title = "Acta numerica. 1997", volume = "6", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "iv + 551", year = "1997", ISBN = "0-521-59106-6", ISBN-13 = "978-0-521-59106-5", MRclass = "65-06", MRnumber = "MR1489254 (98g:65005)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Acta Numerica", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Jandhyala:1997:HFS, author = "V. Jandhyala and E. Michielssen and W. C. Chew", title = "A Hybrid Fast Steepest Descent --- Multipole Algorithm for Analyzing {$3$-D} Scattering from Rough Surfaces", crossref = "Anonymous:1997:PAC", pages = "974--980", year = "1997", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{LeRouzo:1997:MEC, author = "H. {Le Rouzo}", title = "Multipole Expansion of {Cartesian Gaussian} Orbitals About a New Origin", journal = j-IJQC, volume = "64", number = "6", pages = "647--??", month = "????", year = "1997", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Oct 10 17:04:49 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "fast multipole method", } @Article{Lim:1997:MDV, author = "Kian-Tat Lim and Sharon Brunett and Mihail Iotov and Richard B. McClurg and Nagarajan Vaidehi and Siddharth Dasgupta and Stephen Taylor and William A. {Goddard III}", title = "Molecular dynamics for very large systems on massively parallel computers: the {MPSim} program", journal = j-J-COMPUT-CHEM, volume = "18", number = "4", pages = "501--521", month = mar, year = "1997", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/(SICI)1096-987X(199703)18:4<501::AID-JCC5>3.0.CO;2-X", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 15:11:13 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "7 Dec 1998", } @Article{McDowell:1997:CGM, author = "Sean A. C. McDowell", title = "Computation of General Multipole Moment Expansions for {$N$} Atoms by {MAPLE}", journal = j-IJQC, volume = "62", number = "4", pages = "343--351", day = "15", month = apr, year = "1997", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Apr 24 09:20:56 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "fast multipole method", } @InProceedings{Nishida:1997:AFM, author = "T. Nishida and K. Hayami", title = "Application of the fast multipole method to the {$3$-D BEM} analysis of electron guns", crossref = "Marchetti:1997:ICB", pages = "613--624", year = "1997", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Rajamony:1997:PDS, author = "Ramakrishnan Rajamony and Alan L. Cox", title = "Performance debugging shared memory parallel programs using run-time dependence analysis", journal = j-SIGMETRICS, volume = "25", number = "1", pages = "75--87", month = jun, year = "1997", CODEN = "????", DOI = "https://doi.org/10.1145/258612.258678", ISSN = "0163-5999 (print), 1557-9484 (electronic)", ISSN-L = "0163-5999", bibdate = "Thu Jun 26 11:23:09 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "We describe a new approach to performance debugging that focuses on automatically identifying computation transformations to reduce synchronization and communication. By grouping writes together into {\em equivalence classes}, we are able to tractably collect information from long-running programs. Our performance debugger analyzes this information and suggests computation transformations in terms of the source code. We present the transformations suggested by the debugger on a suite of four applications. For Barnes--Hut and Shallow, implementing the debugger suggestions improved the performance by a factor of 1.32 and 34 times respectively on an 8-processor IBM SP2. For Ocean, our debugger identified excess synchronization that did not have a significant impact on performance. ILINK, a genetic linkage analysis program widely used by geneticists, is already well optimized. We use it only to demonstrate the feasibility of our approach to long-running applications. We also give details on how our approach can be implemented. We use novel techniques to convert control dependences to data dependences, and to compute the source operands of stores. We report on the impact of our instrumentation on the same application suite we use for performance debugging. The instrumentation slows down the execution by a factor of between 4 and 169 times. The log files produced during execution were all less than 2.5 Mbytes in size.", acknowledgement = ack-nhfb, fjournal = "ACM SIGMETRICS Performance Evaluation Review", journal-URL = "http://portal.acm.org/toc.cfm?id=J618", } @InProceedings{Rokhlin:1997:SFM, author = "Vladimir Rokhlin and Mark A. Stalzer", title = "Scalability of the fast multipole method for the {Helmholtz} equation", crossref = "Heath:1997:PES", pages = "8", year = "1997", MRclass = "65N30", MRnumber = "MR1602545", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Schmidt:1997:EIF, author = "K. E. Schmidt and Michael A. Lee", title = "Erratum: {Implementing the fast multipole method in three dimensions}", journal = j-J-STAT-PHYS, volume = "87", number = "3--4", pages = "955--955", month = may, year = "1997", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/BF02181257", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 18:51:42 MDT 2014", bibsource = "http://link.springer.com/journal/10955; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=87&issue=3; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib", note = "See \cite{Schmidt:1991:IFM}.", URL = "http://link.springer.com/article/10.1007/BF02181257", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", } @Article{Schmidt:1997:MES, author = "K. E. Schmidt and Michael A. Lee", title = "Multipole {Ewald} sums for the fast multipole method", journal = j-J-STAT-PHYS, volume = "89", number = "1--2", pages = "411--424", month = oct, year = "1997", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/BF02770773", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 18:52:06 MDT 2014", bibsource = "http://link.springer.com/journal/10955; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=89&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib", URL = "http://link.springer.com/article/10.1007/BF02770773", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", } @InProceedings{Sendur:1997:SRP, author = "I. K. Sendur and L. Guerel", title = "Solution of Radiation Problems Using the Fast Multipole Method", crossref = "IEEE:1997:IAP", pages = "4--11", year = "1997", bibdate = "Sat Apr 24 10:05:12 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Shanker:1997:FMA, author = "B. Shanker and S.-K. Han and E. Michielssen and W. C. Chew", title = "A Fast Multipole Approach to Computing Scattering from an Inhomogeneous Bianisotropic Cylindrical Object Using {Beltrami} Fields", crossref = "IEEE:1997:IAP", pages = "43.8", year = "1997", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Shanker:1997:OSI, author = "Balasubramaniam Shanker and Eric Michielssen", title = "Oblique scattering from an inhomogeneous chiral cylindrical object with use of axial {Beltrami} fields and the fast multipole method", journal = j-J-OPT-SOC-AM-A, volume = "14", number = "10", pages = "2786--??", month = "????", year = "1997", CODEN = "JOAOD6", ISSN = "0740-3232", ISSN-L = "1084-7529", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Optical Society of America. A, Optics, image science, and vision", journal-URL = "https://www.osapublishing.org/josaa/", keywords = "fast multipole method", } @InProceedings{Shanker:1997:SIC, author = "B. Shanker and E. Michielssen and W. C. Chew", title = "Scattering from Inhomogeneous Chiral Cylindrical Composites Using Axial {Beltrami} Fields and the Fast Multipole Method", crossref = "Anonymous:1997:PAC", pages = "774--780", year = "1997", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Solvason:1997:EEF, author = "Dorth S{\o}lvason and Henrik G. Petersen", title = "Error estimates for the fast multipole method", journal = j-J-STAT-PHYS, volume = "86", number = "1--2", pages = "391--420", month = jan, year = "1997", CODEN = "JSTPSB", DOI = "https://doi.org/10.1007/BF02180212", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Thu Aug 28 18:51:11 MDT 2014", bibsource = "http://link.springer.com/journal/10955; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=86&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib", URL = "http://link.springer.com/article/10.1007/BF02180212", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", journal-URL = "http://link.springer.com/journal/10955", } @Article{Song:1997:MFM, author = "J. Song and C-C Lu and W. C. Chew", title = "Multilevel Fast Multipole Algorithm for Electromagnetic Scattering by Large Complex Objects", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "45", number = "10", pages = "1488--1493", month = oct, year = "1997", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/8.633855", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", bibdate = "Thu Apr 22 15:43:52 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb # " and " # ack-jb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @InProceedings{Warren:1997:PPI, author = "M. S. Warren and J. K. Salmon and D. J. Becker and M. P. Goda and T. Sterling and G. S. Winckelmans", title = "{Pentium Pro} inside: {I}. {A} treecode at 430 gigaflops on {ASCI Red}, {II}. {Price}\slash performance of {{\$50\slash Mflop}} on {Loki} and {Hyglac}", crossref = "ACM:1997:SHP", pages = "61--??", year = "1997", DOI = "https://doi.org/10.1109/SC.1997.10057", bibdate = "Sat Nov 24 06:51:32 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @InProceedings{Yeung:1997:TNL, author = "M. S. Yeung and E. Barouch", title = "Three-dimensional nonplanar lithography simulation using a periodic fast multipole method [3051-66]", crossref = "Fuller:1997:OMX", pages = "509--521", year = "1997", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Book{Ying:1997:VM, author = "Lung-an Ying and Pingwen Zhang", title = "Vortex methods", volume = "381", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "x + 347", year = "1997", ISBN = "0-7923-4276-3; 7-03-005756-2", ISBN-13 = "978-0-7923-4276-2; 978-7-03-005756-3", MRclass = "76M23 (65M12 76D05)", MRnumber = "MR1705273 (2000f:76093)", MRreviewer = "Thomas Y. Hou", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Mathematics and its Applications", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Aluru:1998:DIH, author = "Srinivas Aluru and John Gustafson and G. M. Prabhu and Fatih E. Sevilgen", title = "Distribution-Independent Hierarchical Algorithms for the {$N$}-Body Problem", journal = j-J-SUPERCOMPUTING, volume = "12", number = "4", pages = "303--??", month = "????", year = "1998", CODEN = "JOSUED", ISSN = "0920-8542 (print), 1573-0484 (electronic)", ISSN-L = "0920-8542", bibdate = "Sat Jan 2 17:58:21 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "The Journal of Supercomputing", journal-URL = "http://link.springer.com/journal/11227", keywords = "fast multipole method", } @Article{Beatson:1998:FER, author = "R. K. Beatson and G. N. Newsam", title = "Fast evaluation of radial basis functions: moment-based methods", journal = j-SIAM-J-SCI-COMP, volume = "19", number = "5", pages = "1428--1449", year = "1998", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65D20 (41A30)", MRnumber = "MR1618780 (99d:65059)", MRreviewer = "Ming Gen Cui", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Bokanowski:1998:FMM, author = "Oliver Bokanowski and Mohammed Lemou", title = "Fast multipole method for multidimensional integrals", journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH, volume = "326", number = "1", pages = "105--110", year = "1998", CODEN = "CASMEI", ISSN = "0764-4442 (print), 1778-3577 (electronic)", MRclass = "65D30", MRnumber = "MR1649509 (99e:65035)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique", journal-URL = "http://www.sciencedirect.com/science/journal/1631073X", keywords = "fast multipole method", } @Article{Capuzzo-Dolcetta:1998:CBF, author = "R. Capuzzo-Dolcetta and P. Miocchi", title = "A Comparison between the Fast Multipole Algorithm and the Tree-Code to Evaluate Gravitational Forces in {$3$-D}", journal = j-J-COMPUT-PHYS, volume = "143", number = "1", pages = "29--48", day = "10", month = jun, year = "1998", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1998.5949", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "70-08 (70F10 85-08)", MRnumber = "MR1624668 (99c:70001)", bibdate = "Mon Jan 2 07:55:26 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999198959496", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Chen:1998:FEV, author = "F. Chen and D. Suter", title = "Fast Evaluation of Vector Splines in Three Dimensions", journal = j-COMPUTING, volume = "61", number = "3", pages = "189--213", year = "1998", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65D07 (65Y25 68Q25)", MRnumber = "MR1660402 (99k:65016)", bibdate = "Fri Oct 15 15:41:46 MDT 1999", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.springer.at/springer.py?Page=40&Key=362&cat=3&id_journal=8; MathSciNet database; OCLC Contents1st database", URL = "http://www.springer.at/journals/pdf/3809.pdf", acknowledgement = ack-nhfb, classification = "723; 723.2; 723.5; 921; 921.1; 921.6", fjournal = "Computing: Archiv f{\"u}r informatik und numerik", journal-URL = "http://link.springer.com/journal/607", journalabr = "Comput Vienna New York", keywords = "Algorithms; Approximation theory; Computer simulation; Data structures; Error analysis; Fast multipole methods; Multipole expansion; Taylor series expansion; Vector spline techniques; Vectors", } @Article{Chen:1998:UFM, author = "Fang Chen and David Suter", title = "Using a Fast Multipole Method to Accelerate Spline Evaluations", journal = j-IEEE-COMPUT-SCI-ENG, volume = "5", number = "3", pages = "24--31", month = jul # "\slash " # sep, year = "1998", CODEN = "ISCEE4", DOI = "https://doi.org/10.1109/99.714590", ISSN = "1070-9924 (print), 1558-190X (electronic)", ISSN-L = "1070-9924", bibdate = "Sat Jan 9 08:57:23 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://dlib.computer.org/cs/books/cs1998/pdf/c3024.pdf; http://www.computer.org/cse/cs1998/c3024abs.htm", acknowledgement = ack-nhfb, fjournal = "IEEE Computational Science \& Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=99", keywords = "fast multipole method", } @Article{Dembart:1998:AFM, author = "Ben Dembart and Elizabeth Yip", title = "The Accuracy of Fast Multipole Methods for {Maxwell}'s Equations", journal = j-IEEE-COMPUT-SCI-ENG, volume = "5", number = "3", pages = "48--56", month = jul # "\slash " # sep, year = "1998", CODEN = "ISCEE4", DOI = "https://doi.org/10.1109/99.714593", ISSN = "1070-9924 (print), 1558-190X (electronic)", ISSN-L = "1070-9924", bibdate = "Sat Jan 9 08:57:23 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://dlib.computer.org/cs/books/cs1998/pdf/c3048.pdf; http://www.computer.org/cse/cs1998/c3048abs.htm", acknowledgement = ack-nhfb, fjournal = "IEEE Computational Science \& Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=99", keywords = "fast multipole method", } @Article{Ergin:1998:FET, author = "A. Arif Ergin and Balasubramaniam Shanker and Eric Michielssen", title = "Fast evaluation of three-dimensional transient wave fields using diagonal translation operators", journal = j-J-COMPUT-PHYS, volume = "146", number = "1", pages = "157--180", day = "10", month = oct, year = "1998", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1998.5908", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76Q05 (76M25 78-08 78A45)", MRnumber = "MR1650476 (99g:76134)", bibdate = "Mon Jan 2 07:55:29 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999198959083", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Fujiwara:1998:FMM, author = "H. Fujiwara", title = "The fast multipole method for integral equations of seismic scattering problems", journal = j-GEOPHYS-J-INT, volume = "133", number = "3", pages = "773--??", month = "????", year = "1998", CODEN = "GJINEA", ISSN = "0956-540x (print), 1365-246x (electronic)", ISSN-L = "0956-540X", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Geophysical journal international", journal-URL = "http://gji.oxfordjournals.org/content/by/year", keywords = "fast multipole method", } @Article{Gerchikov:1998:EMP, author = "L. G. Gerchikov and A. N. Ipatov and A. V. Solov'yov", title = "Excitation of multipole plasmon resonances in clusters by fast electron impact", journal = j-J-PHYS-B, volume = "31", number = "13", pages = "3065--??", month = "????", year = "1998", CODEN = "JPAMA4", ISSN = "0953-4075 (print), 1361-6455 (electronic)", ISSN-L = "0953-4075", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics B: Atomic and Molecular Physics", journal-URL = "http://iopscience.iop.org/0022-3700/", keywords = "fast multipole method", } @InProceedings{Grama:1998:IEB, author = "A. Grama and V. Sarin and A. Sameh", title = "Improving Error Bounds for Multipole-Based Treecodes", crossref = "IEEE:1998:FIC", pages = "73--80", year = "1998", bibdate = "Sat Apr 24 10:06:51 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InProceedings{Grama:1998:PMD, author = "Ananth Grama and Vivek Sarin and Ahmed Sameh", title = "Piecewise Multipoles for Dense Iterative Solvers", crossref = "Mandel:1992:SIM", pages = "??--??", year = "1998", bibdate = "Fri Apr 23 19:12:22 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.cs.purdue.edu/homes/sarin/Papers/CopperMtn_98/HTML_fmm/fmm_abstract_WWW.html", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Grama:1998:SPF, author = "Ananth Grama and Vipin Kumar and Ahmed Sameh", title = "Scalable parallel formulations of the {Barnes--Hut} method for $n$-body simulations", journal = j-PARALLEL-COMPUTING, volume = "24", number = "5--6", pages = "797--822", day = "1", month = jun, year = "1998", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Fri Aug 6 10:15:48 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1998&volume=24&issue=5-6; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.elsevier.com/cas/tree/store/parco/sub/1998/24/5-6/1288.pdf", acknowledgement = ack-nhfb, affiliation = "Purdue Univ", affiliationaddress = "West Lafayette, IN, USA", classification = "722.4; 723.2; 723.5; 921; 921.4", fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", journalabr = "Parallel Comput", keywords = "Barnes Hut method; Computational methods; Computer simulation; Domain decomposition; Hierarchical tree codes; Load balance; Natural sciences computing; Parallel processing systems; Trees (mathematics)", } @Article{Greengard:1998:AFM, author = "Leslie Greengard and Jingfang Huang and Vladimir Rokhlin and Stephen Wandzura", title = "Accelerating Fast Multipole Methods for the {Helmholtz} Equation at Low Frequencies", journal = j-IEEE-COMPUT-SCI-ENG, volume = "5", number = "3", pages = "32--38", month = jul # "\slash " # sep, year = "1998", CODEN = "ISCEE4", DOI = "https://doi.org/10.1109/99.714591", ISSN = "1070-9924 (print), 1558-190X (electronic)", ISSN-L = "1070-9924", bibdate = "Sat Jan 9 08:57:23 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://dlib.computer.org/cs/books/cs1998/pdf/c3032.pdf; http://www.computer.org/cse/cs1998/c3032abs.htm", acknowledgement = ack-nhfb, fjournal = "IEEE Computational Science \& Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=99", keywords = "fast multipole method", } @Article{Greengard:1998:GEI, author = "Leslie Greengard and Stephen Wandzura", title = "{Guest Editor}'s Introduction: Fast Multipole Methods", journal = j-IEEE-COMPUT-SCI-ENG, volume = "5", number = "3", pages = "16--18", month = jul # "\slash " # sep, year = "1998", CODEN = "ISCEE4", DOI = "https://doi.org/10.1109/MCSE.1998.714588", ISSN = "1070-9924 (print), 1558-190X (electronic)", ISSN-L = "1070-9924", bibdate = "Sat Jan 9 08:57:23 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://dlib.computer.org/cs/books/cs1998/pdf/c3016.pdf", acknowledgement = ack-nhfb, fjournal = "IEEE Computational Science \& Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=99", keywords = "fast multipole method", } @Article{Greengard:1998:NEE, author = "Leslie Greengard and Johan Helsing", title = "On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites", journal = j-J-MECH-PHYS-SOLIDS, volume = "46", number = "8", pages = "1441--1462", year = "1998", CODEN = "JMPSA8", ISSN = "0022-5096 (print), 1873-4782 (electronic)", ISSN-L = "0022-5096", MRclass = "73V20 (73B27 73K20)", MRnumber = "MR1634000 (99e:73102)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Mechanics and Physics of Solids", journal-URL = "http://www.sciencedirect.com/science/journal/00225096", keywords = "fast multipole method", } @Article{Greengard:1998:NVF, author = "Leslie Greengard and Xiaobai Sun", title = "A New Version of the {Fast Gauss Transform}", journal = "Documenta Mathematica, Journal der Deutschen Mathematiker-Vereinigung", volume = "Extra Volume {ICM III}", pages = "575--584", year = "1998", ISSN = "1431-0635 (print), 1431-0643 (electronic)", ISSN-L = "1431-0635", MRclass = "65R10 , 44A35, 35K05", bibdate = "Sat Nov 28 08:24:58 2015", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.emis.ams.org/journals/DMJDMV/xvol-icm/16/Greengard.MAN.html", abstract = "he evaluation of the sum of $N$ Gaussians at $M$ points in space arises as a computational task in diffusion, fluid dynamics, finance, and, more generally, in mollification. The work required for direct evaluation grows like the product $ N M$, rendering large-scale calculations impractical. We present an improved version of the fast Gauss transform [L. Greengard and J. Strain, {\em SIAM J. Sci. Stat. Comput.} {\bf 12}, 79 (1991)], which evaluates the sum of $N$ Gaussians at $M$ arbitrarily distributed points in $ O(N + M)$ work, where the constant of proportionality depends only on the precision required. The new scheme is based on a diagonal form for translating Hermite expansions and is significantly faster than previous versions.", acknowledgement = ack-nhfb, } @Article{Guseinov:1998:AEM, author = "I. I. Guseinov", title = "Analytical Evaluation of Molecular Electric and Magnetic Multipole Moment Integrals Over {Slater}-Type Orbitals", journal = j-IJQC, volume = "68", number = "3", pages = "145--150", day = "5", month = jun, year = "1998", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Apr 24 09:22:00 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "fast multipole method", } @Article{Gyure:1998:PMH, author = "Mark F. Gyure and Mark A. Stalzer", title = "A Prescription for the Multilevel {Helmholtz} Fast Multipole Method", journal = j-IEEE-COMPUT-SCI-ENG, volume = "5", number = "3", pages = "39--47", month = jul # "\slash " # sep, year = "1998", CODEN = "ISCEE4", DOI = "https://doi.org/10.1109/99.714592", ISSN = "1070-9924 (print), 1558-190X (electronic)", ISSN-L = "1070-9924", bibdate = "Sat Jan 9 08:57:23 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://dlib.computer.org/cs/books/cs1998/pdf/c3039.pdf; http://www.computer.org/cse/cs1998/c3039abs.htm", acknowledgement = ack-nhfb, fjournal = "IEEE Computational Science \& Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=99", keywords = "fast multipole method", } @InProceedings{Hamada:1998:PPS, author = "T. Hamada and T. Fukushige and A. Kawai and J. Makino", editor = "{IEEE}", booktitle = "{Proceedings of the IEEE Symposium on FPGAs for Custom Computing Machines, 1998}", title = "{PROGRAPE-1}: a programmable special-purpose computer for many-body simulations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "256--257", year = "1998", DOI = "https://doi.org/10.1109/FPGA.1998.707905", bibdate = "Sat Nov 24 08:06:59 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Hrycak:1998:IFM, author = "Tomasz Hrycak and Vladimir Rokhlin", title = "An improved fast multipole algorithm for potential fields", journal = j-SIAM-J-SCI-COMP, volume = "19", number = "6", pages = "1804--1826", year = "1998", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65C20 (65N99 70-08 70F10 78-08)", MRnumber = "MR1638052 (99d:65026)", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Jandhyala:1998:CSD, author = "V. Jandhyala and E. Michielssen and S. Balasubramaniam and W. C. Chew", title = "A Combined Steepest Descent-Fast Multipole Algorithm for the Fast Analysis of Three-Dimensional Scattering by Rough Surfaces", journal = j-IEEE-TRANS-GEOSCI-REMOTE-SENSING, volume = "36", number = "3", pages = "738--748", month = "????", year = "1998", CODEN = "IGRSD2", DOI = "https://doi.org/10.1109/36.673667", ISSN = "0196-2892 (print), 1558-0644 (electronic)", ISSN-L = "0196-2892", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Geoscience and Remote Sensing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=36", keywords = "fast multipole method", } @Article{Jandhyala:1998:FAA, author = "Vikram Jandhyala and Shanker Balasubramaniam and Eric Michielssen and Weng C. Chew", title = "Fast algorithm for the analysis of scattering by dielectric rough surfaces", journal = j-J-OPT-SOC-AM-A, volume = "15", number = "7", pages = "1877--1885", year = "1998", CODEN = "JOAOD6", ISSN = "1084-7529, 0740-3232", ISSN-L = "1084-7529", MRclass = "78-08 (78A45)", MRnumber = "MR1621532 (99c:78004)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Optical Society of America A. Optics, Image Science, and Vision", journal-URL = "https://www.osapublishing.org/josaa/", keywords = "fast multipole method", } @Article{Kudin:1998:FMA, author = "Konstantin N. Kudin and Gustavo E. Scuseria", title = "A fast multipole algorithm for the efficient treatment of the {Coulomb} problem in electronic structure calculations of periodic systems with {Gaussian} orbitals", journal = j-CHEM-PHYS-LETT, volume = "289", number = "5", pages = "611--??", month = "????", year = "1998", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Kudin:1998:FMM, author = "Konstantin N. Kudin and Gustavo E. Scuseria", title = "A fast multipole method for periodic systems with arbitrary unit cell geometries", journal = j-CHEM-PHYS-LETT, volume = "283", number = "1", pages = "61--??", month = "????", year = "1998", CODEN = "CHPLBC", ISSN = "0009-2614 (print), 1873-4448 (electronic)", ISSN-L = "0009-2614", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Chemical Physics Letters", journal-URL = "http://www.sciencedirect.com/science/journal/00092614", keywords = "fast multipole method", } @Article{Labreuche:1998:CTF, author = "Christophe Labreuche", title = "A convergence theorem for the fast multipole method for $2$-dimensional scattering problems", journal = j-MATH-COMPUT, volume = "67", number = "222", pages = "553--591", month = "????", year = "1998", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N12 (41A58)", MRnumber = "MR1458223 (98g:65103)", MRreviewer = "P. Rochus", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "fast multipole method", } @Article{Lee:1998:PPS, author = "J.-Y. Lee and K. Jeong", title = "A parallel {Poisson} solver using the fast multipole method on networks of workstations", journal = j-COMPUT-MATH-APPL, volume = "36", number = "4", pages = "47--61", year = "1998", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", MRclass = "65N30 (65Y05)", MRnumber = "MR1635439 (99c:65206)", bibdate = "Tue Oct 27 18:19:07 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computers \& Mathematics with Applications. An International Journal", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", keywords = "fast multipole method", } @Article{Lemou:1998:MEF, author = "M. Lemou", title = "Multipole expansions for the {Fokker--Planck--Landau} operator", journal = j-NUM-MATH, volume = "78", number = "4", pages = "597--618", year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "82C31 (82-08)", MRnumber = "MR1606249 (99e:82068)", MRreviewer = "Carlo Cercignani", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fast multipole method", } @InCollection{Makino:1998:SSS, author = "J. Makino and M. Taiji", editor = "J. Makino and M. Taiji", booktitle = "????", title = "Scientific Simulations with Special-Purpose Computers --- the {GRAPE} Systems", publisher = "????", address = "????", pages = "??--??", year = "1998", bibdate = "Sat Nov 24 07:08:05 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Marengo:1998:TDP, author = "Edwin A. Marengo and Anthony J. Devaney", title = "Time-dependent plane wave and multipole expansions of the electromagnetic field", journal = j-J-MATH-PHYS, volume = "39", number = "7", pages = "3643--3660", month = jul, year = "1998", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Sat Aug 15 13:36:36 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", keywords = "fast multipole method", } @Article{Pellegrini:1998:EFS, author = "Marco Pellegrini", title = "Electrostatic fields without singularities: theory, algorithms and error analysis", journal = j-J-ACM, volume = "45", number = "6", pages = "924--964", month = nov, year = "1998", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Mon Mar 29 14:44:34 MST 1999", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "The author compares his methods against fast multipole methods for point-to-volume integrals.", URL = "http://www.acm.org:80/pubs/citations/journals/jacm/1998-45-6/p924-pellegrini/", abstract = "The following problems that arise in the computation of electrostatic forces and in the Boundary Element Method are considered. Given two convex interior-disjoint polyhedra in 3-space endowed with a volume charge density which is a polynomial in the Cartesian coordinates of $ R^3 $, compute the Coulomb force acting on them. Given two interior-disjoint polygons in 3-space endowed with a surface charge density which is polynomial in the Cartesian coordinates of $ R^3 $, compute the normal component of the Coulomb force acting on them. For both problems adaptive Gaussian approximation algorithms are given, which, for $n$ Gaussian points, in time {$ O(n) $}, achieve absolute error {$ O(c^{\sqrt {n}}) $} for a constant $ c > 1 $. Such a result improves upon previously known best asymptotic bounds. This result is achieved by blending techniques from integral geometry, computational geometry and numerical analysis. In particular, integral geometry is used in order to represent the forces as integrals whose kernel is free from singularities.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "algorithms; theory", subject = "{\bf F.2.2} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Geometrical problems and computations. {\bf G.1.4} Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation, Error analysis.", } @Article{Rokhlin:1998:SDF, author = "V. Rokhlin", title = "Sparse diagonal forms for translation operators for the {Helmholtz} equation in two dimensions", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "5", number = "1", pages = "36--67", year = "1998", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "65R20", MRnumber = "MR1492792 (98m:65225)", MRreviewer = "Paul Andrew Martin", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", keywords = "fast multipole method", } @Article{Shanker:1998:FMA, author = "Balasubramanian Shanker and Sang-Kyun Han and Eric Michielssen", title = "A fast multipole approach to analyze scattering from an inhomogeneous bianisotropic cylindrical object embedded in a chiral host", journal = j-RADIO-SCI, volume = "33", number = "1", pages = "17--??", month = "????", year = "1998", CODEN = "RASCAD", ISSN = "0048-6604 (print), 1944-799x (electronic)", ISSN-L = "0048-6604", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Paper 97RS02469.", acknowledgement = ack-nhfb, fjournal = "Radio Science", keywords = "fast multipole method", } @Article{Song:1998:FISa, author = "J. M. Song and C. C. Lu and W. C. Chew and S. W. Lee", title = "{Fast Illinois Solver Code (FISC)}", journal = j-IEEE-APM, volume = "40", number = "3", pages = "27--34", month = jun, year = "1998", CODEN = "IAPMEZ", DOI = "https://doi.org/10.1109/74.706067", ISSN = "1045-9243 (print), 1558-4143 (electronic)", ISSN-L = "1045-9243", bibdate = "Thu Apr 22 15:46:03 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Antennas and Propagation Magazine", keywords = "fast multipole method", } @Article{Song:1998:FISb, author = "J. M. Song and C. C. Lu and W. C. Chew and S. W. Lee", title = "{Fast Illinois Solver Code (FISC)}", journal = "Annual Review of Progress in Applied Computational Electromagnetics", volume = "2", number = "??", pages = "966--973", year = "1998", bibdate = "Sat Apr 24 10:13:33 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Strickland:1998:MCG, author = "James H. Strickland and Roy S. Baty", title = "Modification of the {Carrier}, {Greengard}, and {Rokhlin} {FMM} for Independent Source and Target Fields", journal = j-J-COMPUT-PHYS, volume = "142", number = "1", pages = "123--128", day = "1", month = may, year = "1998", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1998.5907", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:55:25 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999198959071", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @Article{Teng:1998:PGP, author = "Shang-Hua Teng", title = "Provably Good Partitioning and Load Balancing Algorithms for Parallel Adaptive {$N$}-Body Simulation", journal = j-SIAM-J-SCI-COMP, volume = "19", number = "2", pages = "635--656", month = mar, year = "1998", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "70-08 (05C85 68Q22 70F10 76M25 85-08)", MRnumber = "MR1618856 (99a:70006)", bibdate = "Fri Dec 4 14:47:53 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/19/2; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/28894", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @InProceedings{Warren:1998:AAL, author = "M. S. Warren and T. C. Germann and P. S. Lomdahl and D. M. Beazley and J. K. Salmon", booktitle = "{Proceedings of the 1998 ACM\slash IEEE conference on Supercomputing}", title = "{Avalon}: an {Alpha\slash Linux} cluster achieves {10 Gflops} for {{\$15K}}", publisher = pub-ACM, address = pub-ACM:adr, pages = "1--11", year = "1998", bibdate = "Sat Nov 24 06:54:36 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://dl.acm.org/citation.cfm?id=509058.509130", acknowledgement = ack-nhfb, } @Article{Xue:1998:THT, author = "Guoliang Xue", title = "An {$ {\rm O}(n) $} time hierarchical tree algorithm for computing force field in $n$-body simulations", journal = j-THEOR-COMP-SCI, volume = "197", number = "1--2", pages = "157--169", day = "15", month = may, year = "1998", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:21:46 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1998&volume=197&issue=1-2; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.elsevier.com/cas/tree/store/tcs/sub/1998/197/1-2/2768.pdf", acknowledgement = ack-nhfb, classification = "A0320 (Classical mechanics of discrete systems: general mathematical aspects); C1160 (Combinatorial mathematics); C4210 (Formal logic); C4240P (Parallel programming and algorithm theory)", conftitle = "Linear Logic '96 (papers in summary form only received)", corpsource = "Dept. of Comput. Sci. and Electr. Eng., Vermont Univ., Burlington, VT, USA", fjournal = "Theoretical Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/03043975", keywords = "force field; N-body problems; n-body simulations; O(n) time hierarchical tree algorithm; pairwise interaction; parallel algorithms; trees (mathematics)", pubcountry = "Netherlands", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Yang:1998:STE, author = "Tao Yang and Cong Fu", title = "Space\slash time-efficient scheduling and execution of parallel irregular computations", journal = j-TOPLAS, volume = "20", number = "6", pages = "1195--1222", month = nov, year = "1998", CODEN = "ATPSDT", ISSN = "0164-0925 (print), 1558-4593 (electronic)", ISSN-L = "0164-0925", bibdate = "Wed Apr 21 14:24:56 MDT 1999", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.acm.org:80/pubs/citations/journals/toplas/1998-20-6/p1195-yang/", abstract = "In this article we investigate the trade-off between time and space efficiency in scheduling and executing parallel irregular computations on distributed-memory machines. We employ acyclic task dependence graphs to model irregular parallelism with mixed granularity, and we use direct remote memory access to support fast communication. We propose new scheduling techniques and a run-time active memory management scheme to improve memory utilization while retaining good time efficiency, and we provide a theoretical analysis on correctness and performance. This work is implemented in the context of the RAPID system which uses an inspector/executor approach to parallelize irregular computations at run-time. We demonstrate the effectiveness of the proposed techniques on several irregular applications such as sparse matrix code and the fast multipole method for particle simulation. Our experimental results on Cray-T3E show that problems large sizes can be solved under limited space capacity, and that the loss of execution efficiency caused by the extra memory management overhead is reasonable.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Programming Languages and Systems", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J783", keywords = "algorithms; design; experimentation; performance", subject = "{\bf C.1.2} Computer Systems Organization, PROCESSOR ARCHITECTURES, Multiple Data Stream Architectures (Multiprocessors). {\bf D.1.3} Software, PROGRAMMING TECHNIQUES, Concurrent Programming, Parallel programming. {\bf D.3.4} Software, PROGRAMMING LANGUAGES, Processors, Run-time environments. {\bf G.2.2} Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Graph algorithms.", } @Article{Yarvin:1998:GOD, author = "Norman Yarvin and Vladimir Rokhlin", title = "A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics", journal = j-J-COMPUT-PHYS, volume = "147", number = "2", pages = "594--609", day = "10", month = dec, year = "1998", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1998.6104", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78-08 (33C55 65T20)", MRnumber = "MR1663599 (99h:78007)", bibdate = "Mon Jan 2 07:55:30 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999198961046", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Zhao:1998:TSM, author = "J. S. Zhao and W. C. Chew and C. C. Lu and E. Michielssen and J. M. Song", title = "Thin-stratified medium fast-multipole algorithm for solving microstrip structures", journal = j-IEEE-TRANS-MICROWAVE-THEORY-TECH, volume = "46", number = "4", pages = "395--403", month = apr, year = "1998", CODEN = "IETMAB", DOI = "https://doi.org/10.1109/22.664140", ISSN = "0018-9480 (print), 1557-9670 (electronic)", ISSN-L = "0018-9480", bibdate = "Thu Apr 22 15:49:10 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "IEEE transactions on microwave theory and techniques", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=22", keywords = "fast multipole method", } @Article{Amini:1999:ADF, author = "S. Amini and A. T. J. Profit", title = "Analysis of a diagonal form of the fast multipole algorithm for scattering theory", journal = j-BIT-NUM-MATH, volume = "39", number = "4", pages = "585--602", month = dec, year = "1999", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1023/A:1022331021899", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65N38 (35J05 35P25 45L05 65R20)", MRnumber = "MR1735095 (2000m:65144)", bibdate = "Wed Jan 4 15:06:03 MST 2006", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=39&issue=4; http://www.mai.liu.se/BIT/contents/bit39.html; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; OCLC Article1st database", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=39&issue=4&spage=585", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "fast multipole method", } @Article{Anderson:1999:TDS, author = "Richard J. Anderson", title = "Tree Data Structures for {$N$}-Body Simulation", journal = j-SIAM-J-COMPUT, volume = "28", number = "6", pages = "1923--1940", month = dec, year = "1999", CODEN = "SMJCAT", ISSN = "0097-5397 (print), 1095-7111 (electronic)", ISSN-L = "0097-5397", bibdate = "Sat Jan 22 13:21:32 MST 2000", bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICOMP/28/6; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/32630", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Computing", journal-URL = "http://epubs.siam.org/sicomp", keywords = "fast multipole method", } @Article{Antonuccio-Delogu:1999:PTA, author = "V. Antonuccio-Delogu and U. Becciani and M. Gambera and A. Pagliaro", title = "Parallel Tree Algorithms for {$N$}-body Simulations", journal = j-LECT-NOTES-COMP-SCI, volume = "1557", pages = "579--580", year = "1999", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Tue Sep 14 06:09:05 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncs1999a.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", keywords = "image processing; multimedia; parallel computation; parallel computing; parallel numerics; ParNum", } @Article{Baldini:1999:HPC, author = "S. Baldini and L. Giraud and J. G. Izaguirre and J. M. Jimenez and L. M. Matey", title = "High Performance Computing in Multibody System Design", journal = j-IJHPCA, volume = "13", number = "2", pages = "99--??", month = "Summer", year = "1999", CODEN = "IHPCFL", ISSN = "1094-3420 (print), 1741-2846 (electronic)", ISSN-L = "1094-3420", bibdate = "Thu Apr 08 07:59:50 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, journal-URL = "http://hpc.sagepub.com/content/by/year", keywords = "fast multipole method", } @Article{Boschitsch:1999:FAM, author = "Alexander H. Boschitsch and Marcia O. Fenley and Wilma K. Olson", title = "A Fast Adaptive Multipole Algorithm for Calculating Screened {Coulomb} ({Yukawa}) Interactions", journal = j-J-COMPUT-PHYS, volume = "151", number = "1", pages = "212--241", day = "1", month = may, year = "1999", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1998.6176", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:55:33 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999198961769", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @Article{Cheng:1999:FAM, author = "H. Cheng and L. Greengard and V. Rokhlin", title = "A fast adaptive multipole algorithm in three dimensions", journal = j-J-COMPUT-PHYS, volume = "155", number = "2", pages = "468--498", day = "1", month = nov, year = "1999", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1999.6355", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N55", MRnumber = "MR1723309 (2000h:65178)", MRreviewer = "So-Hsiang Chou", bibdate = "Mon Jan 2 07:55:38 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999199963556", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Edelman:1999:FFF, author = "Alan Edelman and Peter McCorquodale and Sivan Toledo", title = "The Future {Fast Fourier Transform}?", journal = j-SIAM-J-SCI-COMP, volume = "20", number = "3", pages = "1094--1114", month = may, year = "1999", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65T20 (65Y20)", MRnumber = "MR1667402 (99m:65253)", MRreviewer = "Manfred Tasche", bibdate = "Wed Oct 23 09:18:31 MDT 2002", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/20/3; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/31626", abstract = "It seems likely that improvements in arithmetic speed will continue to outpace advances in communication bandwidth. Furthermore, as more and more problems are working on huge datasets, it is becoming increasingly likely that data will be distributed across many processors because one processor does not have sufficient storage capacity. For these reasons, we propose that an inexact DFT such as an approximate matrix-vector approach based on singular values or a variation of the Dutt--Rokhlin fast-multipole-based algorithm may outperform any exact parallel FFT. The speedup may be as large as a factor of three in situations where FFT run time is dominated by communication. For the multipole idea we further propose that a method of ``virtual charges'' may improve accuracy, and we provide an analysis of the singular values that are needed for the approximate matrix-vector approaches.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Fukushige:1999:HPS, author = "Toshiyuki Fukushige and Piet Hut and Junichiro Makino", title = "High-Performance Special-Purpose Computers in Science", journal = j-COMPUT-SCI-ENG, volume = "1", number = "2", pages = "12--13, 16", month = mar # "\slash " # apr, year = "1999", CODEN = "CSENFA", DOI = "https://doi.org/10.1109/5992.753041", ISSN = "1521-9615 (print), 1558-366X (electronic)", ISSN-L = "1521-9615", bibdate = "Fri Oct 13 14:31:09 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/computscieng.bib", URL = "http://dlib.computer.org/cs/books/cs1999/pdf/c2012.pdf; http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=753041", acknowledgement = ack-nhfb, book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992", fjournal = "Computing in Science and Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992", } @Article{Goedecker:1999:LSE, author = "Stefan Goedecker", title = "Linear scaling electronic structure methods", journal = j-REV-MOD-PHYS, volume = "71", number = "4", pages = "1085--1123", month = jul, year = "1999", CODEN = "RMPHAT", DOI = "https://doi.org/10.1103/RevModPhys.71.1085", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Wed May 23 10:16:19 MDT 2012", bibsource = "http://rmp.aps.org/toc/RMP/v71/i4; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/revmodphys1990.bib", URL = "http://link.aps.org/doi/10.1103/RevModPhys.71.1085; http://rmp.aps.org/abstract/RMP/v71/i4/p1085_1", acknowledgement = ack-nhfb, fjournal = "Reviews of Modern Physics", journal-URL = "http://rmp.aps.org/browse", } @Article{Griebel:1999:SGB, author = "M. Griebel and P. Oswald and T. Schiekofer", title = "Sparse grids for boundary integral equations", journal = j-NUM-MATH, volume = "83", number = "2", pages = "279--312", year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L05)", MRnumber = "MR1712687 (2000h:65195)", MRreviewer = "Andreas Rathsfeld", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fast multipole method", } @InProceedings{Kawai:1999:MAB, author = "Atsushi Kawai and Toshiyuki Fukushige and Junichiro Makino", title = "\$7.3/{Mflops} Astrophysical {$N$}-Body Simulation with Treecode on {GRAPE-5}", crossref = "ACM:1999:SOC", pages = "??--??", year = "1999", DOI = "https://doi.org/10.1145/331532.331598", bibdate = "Thu Feb 24 09:02:57 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.sc99.org/techpapers/", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Koc:1999:EAN, author = "S. Koc and Jiming Song and W. C. Chew", title = "Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem", journal = j-SIAM-J-NUMER-ANAL, volume = "36", number = "3", pages = "906--921", year = "1999", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "78M25 (65F30 78A25)", MRnumber = "MR1681017 (2000a:78041)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "fast multipole method", } @Article{Kropinski:1999:IEM, author = "M. C. A. Kropinski", title = "Integral equation methods for particle simulations in creeping flows", journal = j-COMPUT-MATH-APPL, volume = "38", number = "5-6", pages = "67--87", year = "1999", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", MRclass = "76T20 (76M25)", MRnumber = "MR1707828 (2000d:76124)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computers \& Mathematics with Applications. An International Journal", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", keywords = "fast multipole method", } @Article{Ly:1999:SPD, author = "H. V. Ly and F. Reitich and M. R. Jolly and H. T. Banks and K. Ito", title = "Simulations of particle dynamics in magnetorheological fluids", journal = j-J-COMPUT-PHYS, volume = "155", number = "1", pages = "160--177", day = "10", month = oct, year = "1999", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1999.6335", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M25 (76A99 76W05)", MRnumber = "MR1716489 (2000f:76097)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999199963350", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{Makino:1999:YAF, author = "Junichiro Makino", title = "Yet another fast multipole method without multipoles---pseudoparticle multipole method", journal = j-J-COMPUT-PHYS, volume = "151", number = "2", pages = "910--920", day = "20", month = may, year = "1999", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1999.6226", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "85-08", MRnumber = "MR1686386 (2000b:85001)", bibdate = "Mon Jan 2 07:55:34 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999199962265", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "fast multipole method", } @Article{McCurdy:1999:ECP, author = "Collin McCurdy and John Mellor-Crummey", title = "An evaluation of computing paradigms for {$N$}-body simulations on distributed memory architectures", journal = j-SIGPLAN, volume = "34", number = "8", pages = "25--36", month = aug, year = "1999", CODEN = "SINODQ", ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160 (electronic)", ISSN-L = "0362-1340", bibdate = "Thu Apr 27 06:29:30 MDT 2000", bibsource = "http://www.acm.org/pubs/contents/proceedings/ppopp/301104/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.acm.org/pubs/citations/proceedings/ppopp/301104/p25-mccurdy/", acknowledgement = ack-nhfb, fjournal = "ACM SIGPLAN Notices", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706", keywords = "fast multipole method", } @InCollection{Najm:1999:CLE, author = "H. N. Najm and R. B. Milne and K. D. Devine and S. N. Kempka", booktitle = "Flows and related numerical methods ({Toulouse, 1998})", title = "A coupled {Lagrangian--Eulerian} scheme for reacting flow modeling", volume = "7", publisher = "Soc. Math. Appl. Indust.", address = "Paris", pages = "304--313", year = "1999", MRclass = "76M23 (76M20 76V05 80A32)", MRnumber = "MR1738003 (2000k:76100)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "ESAIM Proc.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Pereira:1999:PBI, author = "N. S. A. Pereira", title = "A Parallel {$N$}-body Integrator Using {MPI}", journal = j-LECT-NOTES-COMP-SCI, volume = "1573", pages = "627--639", year = "1999", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Tue Sep 14 06:09:05 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncs1999a.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", keywords = "parallel processing; VECPAR; vector processing", } @Article{Reif:1999:ACP, author = "John H. Reif", title = "Approximate complex polynomial evaluation in near constant work per point", journal = j-SIAM-J-COMPUT, volume = "28", number = "6", pages = "2059--2089", year = "1999", CODEN = "SMJCAT", ISSN = "0097-5397 (print), 1095-7111 (electronic)", ISSN-L = "0097-5397", MRclass = "65D15 (65Y20 68Q25)", MRnumber = "MR1699001 (2000m:65023)", MRreviewer = "Menachem Dishon", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Computing", journal-URL = "http://epubs.siam.org/sicomp", keywords = "fast multipole method", } @Article{Schwichtenberg:1999:AMM, author = "H. Schwichtenberg and G. Winter and H. Wallmeier", title = "Acceleration of molecular mechanic simulation by parallelization and fast multipole techniques", journal = j-PARALLEL-COMPUTING, volume = "25", number = "5", pages = "535--546", day = "1", month = may, year = "1999", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Fri Aug 6 10:16:06 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1999&volume=25&issue=5; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.elsevier.com/cas/tree/store/parco/sub/1999/25/5/1406.pdf", acknowledgement = ack-nhfb, fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", keywords = "fast multipole method", } @Article{Sidonio:1999:PBI, author = "N. Sidonio and A. Pereira", title = "A Parallel {$N$}-body Integrator Using {MPI}", journal = j-LECT-NOTES-COMP-SCI, volume = "1573", pages = "627--??", year = "1999", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Mon Sep 13 16:57:02 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncs1999a.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", keywords = "fast multipole method", } @Article{Wambsganss:1999:GLN, author = "Joachim Wambsganss", title = "Gravitational lensing: numerical simulations with a hierarchical tree code", journal = j-J-COMPUT-APPL-MATH, volume = "109", number = "1--2", pages = "353--372", day = "30", month = sep, year = "1999", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", bibdate = "Sat Feb 25 12:39:47 MST 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042799001648", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @InProceedings{Wang:1999:LSM, author = "Zhiqiang Wang and James Lupo and Alan McKenney and Ruth Pachter", title = "Large Scale Molecular Dynamics Simulations With Fast Multipole Implementations", crossref = "ACM:1999:SOC", pages = "??--??", year = "1999", bibdate = "Thu Feb 24 09:02:57 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.sc99.org/techpapers/", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Yarvin:1999:IFM, author = "Norman Yarvin and Vladimir Rokhlin", title = "An Improved Fast Multipole Algorithm for Potential Fields on the Line", journal = j-SIAM-J-NUMER-ANAL, volume = "36", number = "2", pages = "629--666", month = apr, year = "1999", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65E05 (65D99)", MRnumber = "MR1675269 (2000b:65044)", MRreviewer = "N. Papamichael", bibdate = "Sat Jul 17 19:41:10 MDT 1999", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/36/2; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/32923", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "fast multipole method", } @TechReport{Chao:19xx:MFM, author = "Hsueh-Yung Chao and Jiming Song and Eric Michielssen and Weng Cho Chew", title = "The Multilevel Fast Multipole Algorithm for Analyzing Electromagnetic Radiation from Complex Surfaces-Wire Structures", institution = "Center for Computational Electromagnetics, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign", address = "Urbana, IL 61801-2991", year = "19xx", bibdate = "Thu Apr 22 15:39:17 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.ecs.umass.edu/ece/allerton/papers/MFM/", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Amini:2000:ATE, author = "Sia Amini and Anthony Profit", title = "Analysis of the truncation errors in the fast multipole method for scattering problems", journal = j-J-COMPUT-APPL-MATH, volume = "115", number = "1--2", pages = "23--33", day = "1", month = mar, year = "2000", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/S0377-0427(99)00175-2", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "45L05 (33C10 41A30 65M70 76Q05)", MRnumber = "MR1747208 (2001c:45011)", MRreviewer = "Bruno Scheurer", bibdate = "Sat Feb 25 12:43:33 MST 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042799001752", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "fast multipole method", remark = "Proceedings of the 8th International Congress on Computational and Applied Mathematics, ICCAM-98 (Leuven).", } @Article{Amisaki:2000:PEE, author = "Takashi Amisaki", title = "Precise and efficient {Ewald} summation for periodic fast multipole method", journal = j-J-COMPUT-CHEM, volume = "21", number = "12", pages = "1075--1087", month = sep, year = "2000", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/1096-987X(200009)21:12<1075::AID-JCC4>3.0.CO;2-L", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 15:11:30 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", onlinedate = "11 Jul 2000", } @Article{Becciani:2000:MPT, author = "U. Becciani and V. Antonuccio-Delogu and M. Gambera", title = "A Modified Parallel Tree Code for {$N$}-Body Simulation of the Large-Scale Structure of the Universe", journal = j-J-COMPUT-PHYS, volume = "163", number = "1", pages = "118--132", day = "1", month = sep, year = "2000", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.2000.6557", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:11:57 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999100965574", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @Article{Bespalov:2000:URG, author = "A. N. Bespalov", title = "On the use of a regular grid for implementation of boundary integral methods for wave problems", journal = j-RUSS-J-NUM-ANAL-MATH-MODEL, volume = "15", number = "6", pages = "469--488", year = "2000", CODEN = "RJNMEH", ISSN = "0927-6467 (print), 1569-3988 (electronic)", ISSN-L = "0927-6467", MRclass = "78M25 (65N38)", MRnumber = "MR1819218 (2002a:78042)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Russian Journal of Numerical Analysis and Mathematical Modelling", keywords = "fast multipole method", } @Article{Board:2000:FMA, author = "John Board and Klaus Schulten", title = "The Fast Multipole Algorithm", journal = j-COMPUT-SCI-ENG, volume = "2", number = "1", pages = "76--79", month = jan # "\slash " # feb, year = "2000", CODEN = "CSENFA", ISSN = "1521-9615 (print), 1558-366X (electronic)", ISSN-L = "1521-9615", bibdate = "Fri Oct 13 14:31:09 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "See correspondence \cite{Makino:2000:LEF}.", URL = "http://dlib.computer.org/cs/books/cs2000/pdf/c1076.pdf; http://www.computer.org/cse/cs1999/c1076abs.htm", acknowledgement = ack-nhfb, fjournal = "Computing in Science and Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992", } @Article{Bode:2000:TPM, author = "P. Bode and J. P. Ostriker and G. Xu", title = "The Tree Particle-Mesh {$N$}-Body Gravity Solver", journal = j-ASTROPHYSICAL-J-SUPPL-SER, volume = "128", number = "??", pages = "561--569", month = jun, year = "2000", CODEN = "APJSA2", ISSN = "0067-0049 (print), 1538-4365 (electronic)", ISSN-L = "0067-0049", bibdate = "Sat Nov 24 07:14:58 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Astrophysical Journal. Supplement Series", } @Book{Cottet:2000:VMT, author = "G.-H. (Georges-Henri) Cottet and Petros D. Koumoutsakos", title = "Vortex methods: theory and practice", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xiii + 313", year = "2000", ISBN = "0-521-62186-0 (hardcover), 0-511-52644-X (electronic)", ISBN-13 = "978-0-521-62186-1 (hardcover), 978-0-511-52644-2 (electronic)", LCCN = "QA925 .C68 2000", bibdate = "Tue Sep 20 18:15:01 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/cam029/99012277.htm; http://www.loc.gov/catdir/samples/cam032/99012277.htm; http://www.loc.gov/catdir/toc/cam023/99012277.htm", acknowledgement = ack-nhfb, subject = "Navier-Stokes equations; Numerical solutions; Vortex-motion", tableofcontents = "Frontmatter: i--iv \\ Contents: v--viii \\ Preface: ix--xiv \\ 1: Definitions and Governing Equations: 1--9 \\ 2: Vortex Methods for Two--Dimensional Flows: 10--54 \\ 3: Three--Dimensional Vortex Methods for Inviscid Flows: 55--89 \\ 4: Inviscid Boundary Conditions: 90--120 \\ 5: Viscous Vortex Methods: 121--171 \\ 6: Vorticity Boundary Conditions for the Navier--Stokes Equations: 172--205 \\ 7: Lagrangian Grid Distortions: Problems and Solutions: 206--236 \\ 8: Hybrid Methods: 237--260 \\ Appendix A: Mathematical Tools for the Numerical Analysis of Vortex Methods: 261--283 \\ Appendix B: Fast Multipole Methods for Three-Dimensional N-Body Problems: 284--300 \\ Bibliography: 301--310 \\ Index: 311--313", } @Article{Darve:2000:FMMa, author = "Eric Darve", title = "The fast multipole method. {I}. {Error} analysis and asymptotic complexity", journal = j-SIAM-J-NUMER-ANAL, volume = "38", number = "1", pages = "98--128", year = "2000", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/S0036142999330379", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65F10 (65R20 65Y20)", MRnumber = "MR1770344 (2001e:65047)", MRreviewer = "Michael Griebel", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "fast multipole method", } @Article{Darve:2000:FMMb, author = "Eric Darve", title = "The fast multipole method: numerical implementation", journal = j-J-COMPUT-PHYS, volume = "160", number = "1", pages = "195--240", year = "2000", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.2000.6451", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78M25", MRnumber = "MR1756765 (2001a:78050)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Dongarra:2000:GEI, author = "Jack Dongarra and Francis Sullivan", title = "{Guest Editors}' Introduction: The Top 10 Algorithms", journal = j-COMPUT-SCI-ENG, volume = "2", number = "1", pages = "22--23", month = jan # "\slash " # feb, year = "2000", CODEN = "CSENFA", DOI = "https://doi.org/10.1109/MCISE.2000.814652", ISSN = "1521-9615 (print), 1558-366X (electronic)", ISSN-L = "1521-9615", bibdate = "Fri Oct 13 14:31:09 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/computscieng.bib", note = "See correspondence \cite{Makino:2000:LEF}.", URL = "http://dlib.computer.org/cs/books/cs2000/pdf/c1022.pdf; http://www.computer.org/cse/cs1999/c1022abs.htm", abstract = "In putting together this issue of CiSE, we knew three things: it would be difficult to list just 10 algorithms; it would be fun to assemble the authors and read their papers; and, whatever we came up with in the end, it would be controversial. We tried to assemble the 10 algorithms with the greatest influence on the development and practice of science and engineering in the 20th century. Following is our list (in chronological order): Metropolis Algorithm for Monte Carlo; Simplex Method for Linear Programming; Krylov Subspace Iteration Methods; The Decompositional Approach to Matrix Computations; The Fortran Optimizing Compiler; QR Algorithm for Computing Eigenvalues; Quicksort Algorithm for Sorting; Fast Fourier Transform; Integer Relation Detection; Fast Multipole Method", acknowledgement = ack-nhfb, fjournal = "Computing in Science and Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992", } @Article{Grama:2000:IEB, author = "Ananth Grama and Vivek Sarin and Ahmed Sameh", title = "Improving Error Bounds for Multipole-Based Treecodes", journal = j-SIAM-J-SCI-COMP, volume = "21", number = "5", pages = "1790--1803", month = sep, year = "2000", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N38, 65R20, 65Y05, 65Y20, 70F10, 70-08", MRnumber = "MR1771058 (2001f:65126)", bibdate = "Fri Oct 27 13:32:24 MDT 2000", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/21/5; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/33912; http://www.cs.purdue.edu/homes/sarin/Papers/CopperMtn_98/HTML_fmm_sisc/fmm_sisc_WWW.html", abstract = "Rapid evaluation of potentials in particle systems is an important, time-consuming step in many physical simulations. Over the past decade, the development of treecodes, such as the fast multipole method and Barnes--Hut method, has enabled large scale simulations in astrophysics, molecular dynamics, material science, etc. These methods use fixed-degree polynomial approximations of the potential at a point, due to a set of particles in a hierarchical representation of the particle system. In this paper, we present analysis and experiments to illustrate that fixed-degree multipole approximations can lead to large aggregate errors. We describe an alternate strategy based on careful selection of the multipole degree that leads to asymptotically lower errors while incurring minimal computation overhead. First, we estimate the error associated with each particle-cluster interaction and the aggregate error for each particle. Then we describe a technique for computing the multipole degree of each interaction with a view to reducing aggregate error, and establish the computational complexity of the new method. Following this, we discuss numerical experiments that demonstrate favorable error properties of the new method at the expense of marginal increase in computation. Finally, we report a parallel implementation on the SGI Origin 2000 that achieves excellent speedup for problems from domains such as astrophysics and boundary element solvers.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "Barnes--Hut; boundary elements; fast multipole method; integral equations; parallel computation; particle dynamics", } @Article{Kawai:2000:GSP, author = "A. Kawai and T. Fukushige and J. Makino and M. Taiji", title = "{GRAPE-5}: a Special-Purpose Computer for {$N$}-Body Simulations", journal = j-PUBL-ASTRON-SOC-JPN, volume = "52", number = "??", pages = "659--676", month = aug, year = "2000", CODEN = "PASJAC", ISSN = "0004-6264", bibdate = "Sat Nov 24 07:31:00 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Publications of the {Astronomical Society of Japan}", } @Article{Kawata:2000:CEC, author = "Masaaki Kawata and Masuhiro Mikami", title = "Computationally efficient canonical molecular dynamics simulations by using a multiple time-step integrator algorithm combined with the particle mesh {Ewald} method and with the fast multipole method", journal = j-J-COMPUT-CHEM, volume = "21", number = "3", pages = "201--217", month = feb, year = "2000", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/(SICI)1096-987X(200002)21:3<201::AID-JCC4>3.0.CO;2-#", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 15:11:27 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "28 Jan 2000", } @Article{Makino:2000:LEF, author = "Jun Makino and John Board and Klaus Schulten and Peter Borcherds and Rubin D. {Orduz Z.}", title = "Letters to the Editors: {``The Fast Multipole Algorithm''} and {``The Top 10 Algorithms''}", journal = j-COMPUT-SCI-ENG, volume = "2", number = "3", pages = "4--5", month = may # "\slash " # jun, year = "2000", CODEN = "CSENFA", ISSN = "1521-9615 (print), 1558-366X (electronic)", ISSN-L = "1521-9615", bibdate = "Fri Oct 13 14:31:09 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "See \cite{Dongarra:2000:GEI,Board:2000:FMA}.", URL = "http://dlib.computer.org/cs/books/cs2000/pdf/c3004.pdf", acknowledgement = ack-nhfb, fjournal = "Computing in Science and Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992", } @InProceedings{Makino:2000:TSB, author = "J. Makino and T. Fukushige and M. Koga", booktitle = "{Proceedings of the 2000 ACM\slash IEEE conference on Supercomputing}", title = "A {1.349 Tflops} simulation of black holes in a galactic center on {GRAPE-6}", publisher = pub-ACM, address = pub-ACM:adr, pages = "??--??", year = "2000", bibdate = "Sat Nov 24 06:57:53 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://dl.acm.org/citation.cfm?id=370049.370426", acknowledgement = ack-nhfb, } @Article{Vosbeek:2000:ACD, author = "P. W. C. Vosbeek and H. J. H. Clercx and R. M. M. Mattheij", title = "Acceleration of contour dynamics simulations with a hierarchical-element method", journal = j-J-COMPUT-PHYS, volume = "161", number = "1", pages = "287--311", year = "2000", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M25", MRnumber = "MR1762082 (2001a:76105)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Wilson:2000:PWW, author = "Robin Wilson", title = "The Professor Who Would Not Leave", journal = j-CHRON-HIGHER-ED, volume = "??", number = "??", pages = "??--??", day = "24", month = nov, year = "2000", ISSN = "0009-5982 (print), 1931-1362 (electronic)", ISSN-L = "0009-5982", bibdate = "Mon Sep 02 12:57:04 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://chronicle.com/article/The-Professor-Who-Would-Not/1870/", acknowledgement = ack-nhfb, fjournal = "The Chronicle of Higher Education", remark = "Details the unsuccessful attempt to terminate Professor Piet Hut from the Institute for Advanced Study in Princeton, NJ.", } @Article{Zhang:2000:SDC, author = "Yao Jiang Zhang and Hong Yu Chen and Zhong Lin Gong", title = "Scattering by dielectric coated cylinders using fast multipole algorithm", journal = "Beijing Daxue Xuebao Ziran Kexue Ban", volume = "36", number = "1", pages = "102--108", year = "2000", CODEN = "PCTHAP", ISSN = "0479-8023", MRclass = "78A45 (78M25)", MRnumber = "MR1951282", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Beijing Daxue Xuebao. Ziran Kexue Ban. Acta Scientiarum Naturalium Universitatis Pekinensis", keywords = "fast multipole method", } @Article{Zhao:2000:IES, author = "Jun-Sheng Zhao and Weng Cho Chew", title = "Integral equation solution of {Maxwell}'s equations from zero frequency to microwave frequencies", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "48", number = "10", pages = "1635--1645", year = "2000", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/8.899680", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M05 (78A25)", MRnumber = "MR1809081 (2001k:78056)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @Article{Amor:2001:DPF, author = "M. Amor and F. Arg{\"u}ello and J. L{\'o}pez and O. Plata and E. L. Zapata", title = "A Data Parallel Formulation of the {Barnes--Hut} Method for {$N$}-Body Simulations", journal = j-LECT-NOTES-COMP-SCI, volume = "1947", pages = "342--??", year = "2001", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Sat Feb 2 13:02:51 MST 2002", bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t1947.htm; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://link.springer-ny.com/link/service/series/0558/bibs/1947/19470342.htm; http://link.springer-ny.com/link/service/series/0558/papers/1947/19470342.pdf", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @Article{Beatson:2001:FER, author = "R. K. Beatson and J. B. Cherrie and D. L. Ragozin", title = "Fast evaluation of radial basis functions: methods for four-dimensional polyharmonic splines", journal = j-SIAM-J-MATH-ANA, volume = "32", number = "6", pages = "1272--1310", year = "2001", CODEN = "SJMAAH", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "41A15 (33C55 65D07)", MRnumber = "MR1856249 (2002f:41004)", MRreviewer = "Gregory E. Fasshauer", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", keywords = "fast multipole method", } @Article{Becciani:2001:YRF, author = "U. Becciani and V. Antonuccio-Delogu", title = "Are you ready to {FLY} in the universe? {A} multi-platform {$N$}-body tree code for parallel supercomputers", journal = j-COMP-PHYS-COMM, volume = "136", number = "1--2", pages = "54--63", day = "1", month = may, year = "2001", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/S0010-4655(00)00253-8", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 23:40:57 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465500002538", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Choi:2001:NPO, author = "Cheol Ho Choi and Klaus Ruedenberg and Mark S. Gordon", title = "New parallel optimal-parameter fast multipole method {(OPFMM)}", journal = j-J-COMPUT-CHEM, volume = "22", number = "13", pages = "1484--1501", month = oct, year = "2001", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.1102", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:54:35 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", onlinedate = "31 Jul 2001", } @Article{El-Shenawee:2001:MCS, author = "M. El-Shenawee and C. Rappaport and M. Silevitch", title = "{Monte Carlo} simulations of electromagnetic wave scattering from a random rough surface with three-dimensional penetrable buried object: mine detection application using the steepest-descent fast multipole method", journal = j-J-OPT-SOC-AM-A, volume = "18", number = "12", pages = "3077--3084", month = dec, year = "2001", CODEN = "JOAOD6", DOI = "https://doi.org/10.1364/JOSAA.18.003077", ISSN = "1084-7529 (print), 1520-8532 (electronic)", ISSN-L = "1084-7529", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Optical Society of America. A, Optics, image science, and vision", journal-URL = "https://www.osapublishing.org/josaa/", } @Article{Ethridge:2001:NFM, author = "Frank Ethridge and Leslie Greengard", title = "A new fast-multipole accelerated {Poisson} solver in two dimensions", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "3", pages = "741--760", year = "2001", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827500369967", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N99 (31A10 35J05 78A30)", MRnumber = "MR1860962 (2002i:65146)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Geng:2001:FMM, author = "Norbert Geng and Anders Sullivan and Lawrence Carin", title = "Fast multipole method for scattering from an arbitrary {PEC} target above or buried in a lossy half space", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "49", number = "5", pages = "740--748", year = "2001", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/8.929628", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M05", MRnumber = "MR1835970 (2002c:78023)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @Article{Gimbutas:2001:CIP, author = "Zydrunas Gimbutas and Leslie Greengard and Michael Minion", title = "{Coulomb} Interactions on Planar Structures: Inverting the Square Root of the {Laplacian}", journal = j-SIAM-J-SCI-COMP, volume = "22", number = "6", pages = "2093--2108", month = nov, year = "2001", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827599361199", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "31B10 (35S05 65R10 78A30 86A10)", MRnumber = "MR1856303 (2002i:31003)", bibdate = "Fri Apr 6 20:19:05 MDT 2001", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/22/6; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/36119", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Kropinski:2001:ENM, author = "M. C. A. Kropinski", title = "An efficient numerical method for studying interfacial motion in two-dimensional creeping flows", journal = j-J-COMPUT-PHYS, volume = "171", number = "2", pages = "479--508", year = "2001", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M25 (65M70 76D07 76M40)", MRnumber = "MR1848727 (2002e:76048)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @InProceedings{Makino:2001:PET, author = "J. Makino and E. Kokubo and T. Fukushige", booktitle = "{Proceedings of the 2001 ACM\slash IEEE conference on Supercomputing}", title = "Performance evaluation and tuning of {GRAPE-6} --- towards 40 `real' {Tflops}", publisher = pub-ACM, address = pub-ACM:adr, pages = "2--??", year = "2001", DOI = "https://doi.org/10.1145/1048935.1050153", bibdate = "Sat Nov 24 06:59:48 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Sun:2001:MVF, author = "Xiaobai Sun and Nikos P. Pitsianis", title = "A Matrix Version of the Fast Multipole Method", journal = j-SIAM-REVIEW, volume = "43", number = "2", pages = "289--300", month = jun, year = "2001", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/S0036144500370835", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F30", MRnumber = "MR1861083 (2002h:65066)", bibdate = "Mon Feb 25 18:49:56 MST 2002", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/43/2; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/37083", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", keywords = "fast multipole method", } @Article{Yang:2001:CPD, author = "Dow-Yung Yang and Ananth Grama and Vivek Sarin and Naren Ramakrishnan", title = "Compression of particle data from hierarchical approximate methods", journal = j-TOMS, volume = "27", number = "3", pages = "317--339", month = sep, year = "2001", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/502800.502802", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Wed Feb 6 16:43:42 MST 2002", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "This article presents an analytical and computational framework for the compression of particle data resulting from hierarchical approximate treecodes such as the {\em Barnes--Hut} and {\em Fast Multipole Methods}. Due to approximations introduced by hierarchical methods, various parameters (such as position, velocity, acceleration, potential) associated with a particle can be bounded by distortion radii. Using this distortion radii, we develop storage schemes that guarantee error bounds while maximizing compression. Our schemes make extensive use of spatial and temporal coherence of particle behavior and yield compression ratios higher than 12:1 over raw data, and 6:1 over gzipped (LZ) raw data for selected simulation instances. We demonstrate that for uniform distributions with 2M particles, storage requirements can be reduced from 24 MB to about 1.8 MB (about 7 bits per particle per timestep) for storing particle positions. This is significant because it enables faster storage/retrieval, better temporal resolution, and improved analysis. Our results are shown to scale from small systems (2K particles) to much larger systems (over 2M particles). The associated algorithm is asymptotically optimal in computation time ($ O(n) $ ) with a small constant. Our implementations are demonstrated to run extremely fast---much faster than the time it takes to compute a single time-step advance. In addition, our compression framework relies on a natural hierarchical representation upon which other analysis tasks such as segmented and window retrieval can be built.", accepted = "23 July 2001", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", keywords = "Astrophysics; Barnes--Hut; data compression and analysis; Fast Multipole Method; materials simulation; molecular dynamics; particle dynamics", } @Article{Yuan:2001:PIF, author = "Yanhong Yuan and Prith Banerjee", title = "A Parallel Implementation of a Fast Multipole-Based {$3$-D} Capacitance Extraction Program on Distributed Memory Multicomputers", journal = j-J-PAR-DIST-COMP, volume = "61", number = "12", pages = "1751--1774", day = "1", month = dec, year = "2001", CODEN = "JPDCER", DOI = "https://doi.org/10.1006/jpdc.2001.1725", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Tue Feb 26 06:20:18 MST 2002", bibsource = "http://www.idealibrary.com/servlet/useragent?func=showAllIssues&curIssueID=jpdc; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.idealibrary.com/links/doi/10.1006/jpdc.2001.1725; http://www.idealibrary.com/links/doi/10.1006/jpdc.2001.1725/pdf; http://www.idealibrary.com/links/doi/10.1006/jpdc.2001.1725/ref", acknowledgement = ack-nhfb, fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", } @Article{Bagla:2002:TCC, author = "J. S. Bagla", title = "{TreePM}: a Code for Cosmological {$N$}-Body Simulations", journal = j-J-ASTROPHYS-ASTRON, volume = "23", number = "3--4", pages = "185--196", month = dec, year = "2002", CODEN = "JASRD7", DOI = "https://doi.org/10.1007/BF02702282", ISSN = "0250-6335 (print), 0973-7758 (electronic)", ISSN-L = "0250-6335", bibdate = "Sat Nov 24 07:16:10 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.springerlink.com/content/0250-6335", acknowledgement = ack-nhfb, fjournal = "Journal of Astrophysics and Astronomy", journal-URL = "http://www.springerlink.com/content/0250-6335", } @Article{Cherrie:2002:FER, author = "J. B. Cherrie and R. K. Beatson and G. N. Newsam", title = "Fast evaluation of radial basis functions: methods for generalized multiquadrics in {$ \mathbb {R^n} $}", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "5", pages = "1549--1571", year = "2002", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "41A30 (41A58 65D99)", MRnumber = "MR1885074 (2002j:41013)", MRreviewer = "Gregory E. Fasshauer", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Darrigrand:2002:CFM, author = "Eric Darrigrand", title = "Coupling of fast multipole method and microlocal discretization for the {$3$-D} {Helmholtz} equation", journal = j-J-COMPUT-PHYS, volume = "181", number = "1", pages = "126--154", year = "2002", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.2002.7091", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N22", MRnumber = "MR1925979 (2003h:65151)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Dehnen:2002:HFC, author = "Walter Dehnen", title = "A Hierarchical {$ O(N) $} Force Calculation Algorithm", journal = j-J-COMPUT-PHYS, volume = "179", number = "1", pages = "27--42", day = "10", month = jun, year = "2002", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.2002.7026", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:21 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999102970269", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Eldredge:2002:VPM, author = "Jeff D. Eldredge and Tim Colonius and Anthony Leonard", title = "A vortex particle method for two-dimensional compressible flow", journal = j-J-COMPUT-PHYS, volume = "179", number = "2", pages = "371--399", year = "2002", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M23 (76M28 76Q05)", MRnumber = "MR1911371 (2003g:76084)", MRreviewer = "Monika Nitsche", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Gimbutas:2002:GFM, author = "Zydrunas Gimbutas and Vladimir Rokhlin", title = "A generalized fast multipole method for nonoscillatory kernels", journal = j-SIAM-J-SCI-COMP, volume = "24", number = "3", pages = "796--817", year = "2002", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827500381148", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N99", MRnumber = "MR1950512 (2004a:65176)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Greengard:2002:NVF, author = "Leslie F. Greengard and Jingfang Huang", title = "A new version of the fast multipole method for screened {Coulomb} interactions in three dimensions", journal = j-J-COMPUT-PHYS, volume = "180", number = "2", pages = "642--658", year = "2002", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.2002.7110", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78M99 (65B10 65N99)", MRnumber = "MR1917861 (2003h:78014)", MRreviewer = "Per L{\"o}tstedt", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @InProceedings{Hariharan:2002:SPF, author = "Bhanu Hariharan and Srinivas Aluru and Balasubramaniam Shanker", title = "A Scalable Parallel Fast Multipole Method for Analysis of Scattering from Perfect Electrically Conducting Surfaces", crossref = "IEEE:2002:STI", pages = "??--??", year = "2002", bibdate = "Wed Nov 26 07:34:20 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.sc-2002.org/paperpdfs/pap.pap295.pdf", abstract = "In this paper, we develop a parallel Fast Multipole Method (FMM) based solution for computing the scattered electromagnetic fields from a Perfect Electrically Conducting (PEC) surface. The main contributions of this work are the development of parallel algorithms with the following characteristics: (1) provably efficient worst-case run-time irrespective of the shape of the scatterer, (2) communication efficiency, and (3) guaranteed load balancing within a small constant factor. We have developed a scalable, parallel code and validated it against surfaces for which solution can be computed analytically, and against serial software. The efficiency and scalability of the code is demonstrated with experimental results on an IBM xSeries cluster. Though developed in the context of this particular application, our algorithms can be used in other applications involving parallel FMM.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Ho:2002:SBP, author = "Dac Phuong Ho and Yong Meng Teo and Johan Prawira Gozali", title = "Solving the {$N$}-Body Problem with the {ALiCE Grid System}", journal = j-LECT-NOTES-COMP-SCI, volume = "2550", pages = "87--??", year = "2002", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Sat Nov 30 20:58:14 MST 2002", bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2550.htm; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://link.springer.de/link/service/series/0558/bibs/2550/25500087.htm; http://link.springer.de/link/service/series/0558/papers/2550/25500087.pdf", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", keywords = "fast multipole method", } @Article{Ichiki:2002:ISD, author = "Kengo Ichiki", title = "Improvement of the {Stokesian} dynamics method for systems with a finite number of particles", journal = j-J-FLUID-MECH, volume = "452", pages = "231--262", year = "2002", CODEN = "JFLSA7", ISSN = "0022-1120 (print), 1469-7645 (electronic)", ISSN-L = "0022-1120", MRclass = "76T20 (76D99 76M25)", MRnumber = "MR1891158 (2003a:76105)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Fluid Mechanics", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=FLM", keywords = "fast multipole method", } @Article{Jaramillo-Botero:2002:UFM, author = "Andr{\'e}s Jaramillo-Botero and Alfons Crespo I. Lorente", title = "A Unified Formulation for Massively Parallel Rigid Multibody Dynamics of {$ O(l o g_2 n) $} Computational Complexity", journal = j-J-PAR-DIST-COMP, volume = "62", number = "6", pages = "1001--1020", day = "1", month = jun, year = "2002", CODEN = "JPDCER", DOI = "https://doi.org/10.1006/jpdc.2001.1820", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Wed Oct 23 16:10:32 MDT 2002", bibsource = "http://www.idealibrary.com/servlet/useragent?func=showAllIssues&curIssueID=jpdc; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.idealibrary.com/links/doi/10.1006/jpdc.2001.1820; http://www.idealibrary.com/links/doi/10.1006/jpdc.2001.1820/pdf; http://www.idealibrary.com/links/doi/10.1006/jpdc.2001.1820/ref", acknowledgement = ack-nhfb, fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", keywords = "fast multipole method", } @Article{Kropinski:2002:NMM, author = "M. C. A. Kropinski", title = "Numerical methods for multiple inviscid interfaces in creeping flows", journal = j-J-COMPUT-PHYS, volume = "180", number = "1", pages = "1--24", year = "2002", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M22 (65M99 65R20 76M40)", MRnumber = "MR1913086 (2003c:76089)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Lakshminarasimhulu:2002:CMB, author = "Pasupulati Lakshminarasimhulu and Jeffry D. Madura", title = "A cell multipole based domain decomposition algorithm for molecular dynamics simulation of systems of arbitrary shape", journal = j-COMP-PHYS-COMM, volume = "144", number = "2", pages = "141--153", day = "1", month = apr, year = "2002", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/S0010-4655(02)00157-1", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 23:41:14 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465502001571", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @InProceedings{Lienhart:2002:UFP, author = "G. Lienhart and A. Kugel and R. Manner", title = "Using floating-point arithmetic on {FPGAs} to accelerate scientific {$N$}-body simulations", crossref = "Pocek:2002:FAI", pages = "182--191", year = "2002", DOI = "https://doi.org/10.1109/FPGA.2002.1106673", bibdate = "Sat Oct 9 12:49:37 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "This paper investigates the usage of floating-point arithmetic on FPGAs for N-Body simulation in natural science. The common aspect of these applications is the simple computing structure where forces between a particle and its surrounding particles are summed up. The role of reduced precision arithmetic is discussed, and our implementation of a floating-point arithmetic library with parameterized operators is presented. On the base of this library, implementation strategies of complex arithmetic units are discussed. Finally the realization of a fully pipelined pressure force calculation unit consisting of 60 floating-point operators with a resulting performance of 3.9 Gflops on an off the shelf FPGA is presented.", acknowledgement = ack-nhfb, } @Article{Lupo:2002:LSM, author = "James A. Lupo and Zhiqiang Wang and Alan M. McKenney and Ruth Pachter and William Mattson", title = "A large scale molecular dynamics simulation code using the fast multipole algorithm ({FMD}): Performance and application", journal = "Journal of Molecular Graphics \& Modelling", volume = "21", number = "2", pages = "89--99", month = "????", year = "2002", DOI = "https://doi.org/10.1016/S1093-3263(02)00125-0", ISSN = "1093-3263", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Molecular Graphics \& Modelling", } @InProceedings{Makino:2002:TSP, author = "Junichiro Makino and Eiichiro Kokubo and Toshiyuki Fukushige and Hiroshi Daisaka", title = "A {29.5 Tflops} simulation of planetesimals in {Uranus--Neptune} region on {GRAPE-6}", crossref = "IEEE:2002:STI", pages = "??--??", year = "2002", bibdate = "Wed Nov 26 07:34:20 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.sc-2002.org/paperpdfs/pap.pap146.pdf", abstract = "As an entry for the 2002 Gordon Bell performance prize, we report the performance achieved on the GRAPE-6 system for a simulation of the early evolution of the protoplanet-planetesimal system of the Uranus-Neptune region. GRAPE-6 is a special-purpose computer for astrophysical N-body calculations. The present configuration has 2048 custom pipeline chips, each containing six pipeline processors for the calculation of gravitational interactions between particles. Its theoretical peak performance is 63.4 Tflops. The actual performance obtained was 29.5 Tflops, for a simulation of the early evolution of outer Solar system with 1.8 million planetesimals and two massive protoplanets.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Suda:2002:FSH, author = "Reiji Suda and Masayasu Takami", title = "A fast spherical harmonics transform algorithm", journal = j-MATH-COMPUT, volume = "71", number = "238", pages = "703--715", year = "2002", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65T99 (33C50)", MRnumber = "MR1885622 (2003b:65145)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "fast multipole method", } @Article{Van:2002:TDF, author = "Tri Van and Aihua Wood", title = "A time-domain finite element method for {Helmholtz} equations", journal = j-J-COMPUT-PHYS, volume = "183", number = "2", pages = "486--507", year = "2002", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78M10 (65M60 78A25)", MRnumber = "MR1947779 (2004a:78042)", MRreviewer = "Per L{\"o}tstedt", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Waltz:2002:PCT, author = "J. Waltz and G. L. Page and S. D. Milder and J. Wallin and A. Antunes", title = "A Performance Comparison of Tree Data Structures for {$N$}-Body Simulation", journal = j-J-COMPUT-PHYS, volume = "178", number = "1", pages = "1--14", day = "1", month = may, year = "2002", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.2001.6943", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:15 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999101969438", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @InProceedings{Warren:2002:HDC, author = "Michael S. Warren and Eric H. Weigle and Wu-Chun Feng", title = "High-Density Computing: {A} 240-Processor {Beowulf} in One Cubic Meter", crossref = "IEEE:2002:STI", pages = "??--??", year = "2002", bibdate = "Wed Nov 26 07:34:20 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.sc-2002.org/paperpdfs/pap.pap210.pdf", abstract = "We present results from computations on Green Destiny, a 240-processor Beowulf cluster which is contained entirely within a single 19-inch wide 42U rack. The cluster consists of 240 Transmeta TM5600 667-MHz CPUs mounted on RLX Technologies motherboard blades. The blades are mounted side-by-side in an RLX 3U rack-mount chassis, which holds 24 blades. The overall cluster contains 10 chassis and associated Fast and Gigabit Ethernet switches. The system has a footprint of 0.5 meter2 (6 square feet), a volume of 0.85 meter3 (30 cubic feet) and a measured power dissipation under load of 5200 watts (including network switches). We have measured the performance of the cluster using a gravitational treecode N-body simulation of galaxy formation using 200 million particles, which sustained an average of 38.9 Gflops on 212 nodes of the system. We also present results from a three-dimensional hydrodynamic simulation of a core-collapse supernova", acknowledgement = ack-nhfb, keywords = "Beowulf; blade server; cluster; code morphing; MIPS-per-watt; performance-per-square-foot; RLX; Transmeta; VLIW", } @InCollection{Yoshida:2002:NFM, author = "Ken-ichi Yoshida and Naoshi Nishimura and Shoichi Kobayashi", booktitle = "Mathematical modeling and numerical simulation in continuum mechanics ({Yamaguchi}, 2000)", title = "A new fast multipole boundary integral equation method in elastostatic crack problems in {$3$D}", volume = "19", publisher = pub-SV, address = pub-SV:adr, pages = "271--287", year = "2002", MRclass = "74S15 (65N99)", MRnumber = "MR1901672 (2003c:74100)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Comput. Sci. Eng.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InCollection{Amini:2003:MLF, author = "S. Amini and A. T. J. Profit", booktitle = "Current trends in scientific computing ({Xi'an}, 2002)", title = "Multi-level fast multipole {Galerkin} method for the boundary integral solution of the exterior {Helmholtz} equation", volume = "329", publisher = pub-AMS, address = pub-AMS:adr, pages = "13--19", year = "2003", MRclass = "65N38 (35J10 45E99)", MRnumber = "MR2022627", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Contemp. Math.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Amisaki:2003:DHA, author = "Takashi Amisaki and Shinjiro Toyoda and Hiroh Miyagawa and Kunihiro Kitamura", title = "Development of hardware accelerator for molecular dynamics simulations: a computation board that calculates nonbonded interactions in cooperation with fast multipole method", journal = j-J-COMPUT-CHEM, volume = "24", number = "5", pages = "582--592", day = "15", month = apr, year = "2003", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.10193", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", onlinedate = "25 Feb 2003", } @InCollection{Bachelot:2003:CFM, author = "Alain Bachelot and Eric Darrigrand and Katherine Mer-Nkonga", booktitle = "Mathematical and numerical aspects of wave propagation---{WAVES} 2003", title = "Coupling of a fast multipole method and a microlocal discretization for integral equations of electromagnetism", publisher = pub-SV, address = pub-SV:adr, pages = "669--674", year = "2003", MRclass = "78M25", MRnumber = "MR2080633", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Bachelot:2003:CMF, author = "Alain Bachelot and Eric Darrigrand and Katherine Mer-Nkonga", title = "Coupling of a multilevel fast multipole method and a microlocal discretization for the {$3$-D} integral equations of electromagnetism", journal = j-C-R-MATH-ACAD-SCI-PARIS, volume = "336", number = "6", pages = "505--510", year = "2003", DOI = "https://doi.org/10.1016/S1631-073X(03)00113-4", ISSN = "1631-073x (print), 1778-3569 (electronic)", ISSN-L = "1631-073X", MRclass = "78M25 (35A27 35Q60 78A45)", MRnumber = "MR1975088 (2004b:78021)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris", keywords = "fast multipole method", } @Article{Banjai:2003:MMS, author = "Lehel Banjai and L. N. Trefethen", title = "A Multipole Method for {Schwarz--Christoffel} Mapping of Polygons with Thousands of Sides", journal = j-SIAM-J-SCI-COMP, volume = "25", number = "3", pages = "1042--1065", month = may, year = "2003", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827502411675", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "30C30 (65E05)", MRnumber = "MR2046124 (2004m:30011)", MRreviewer = "N. Papamichael", bibdate = "Mon Jan 12 19:00:43 MST 2004", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/3; http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/41167", ZMnumber = "1060.30012", acknowledgement = ack-nhfb, classmath = "30C30 (Numerical methods in conformal mapping theory); 65E05 (Numerical methods in complex analysis); 70F10 (n-body problem)", fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "conformal mapping; fast multipole method; Koch snowflake; Schwarz--Christoffel mapping", } @Article{Bohme:2003:FAF, author = "Martin B{\"o}hme and Daniel Potts", title = "A fast algorithm for filtering and wavelet decomposition on the sphere", journal = j-ELECTRON-TRANS-NUMER-ANAL, volume = "16", pages = "70--92", year = "2003", ISSN = "1068-9613 (print), 1097-4067 (electronic)", ISSN-L = "1068-9613", MRclass = "65T99 (42C10 94A12)", MRnumber = "MR1988721 (2004f:65220)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Electronic Transactions on Numerical Analysis", journal-URL = "http://etna.mcs.kent.edu/", keywords = "fast multipole method", } @Article{Bordner:2003:BES, author = "A. J. Bordner and G. A. Huber", title = "Boundary element solution of the linear {Poisson--Boltzmann} equation and a multipole method for the rapid calculation of forces on macromolecules in solution", journal = j-J-COMPUT-CHEM, volume = "24", number = "3", pages = "353--367", month = feb, year = "2003", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.10195", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:54:42 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", onlinedate = "17 Jan 2003", } @Book{Buhmann:2003:RBF, author = "M. D. Buhmann", title = "Radial basis functions: theory and implementations", volume = "12", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 259", year = "2003", ISBN = "0-521-63338-9", ISBN-13 = "978-0-521-63338-3", MRclass = "41-02 (41A30 65-02)", MRnumber = "MR1997878 (2004f:41001)", MRreviewer = "Gregory E. Fasshauer", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Cambridge Monographs on Applied and Computational Mathematics", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @TechReport{Carpentieri:2003:CFM, author = "B. Carpentieri and I. S. Duff and L. Giraud and G. Sylvand", title = "Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations", type = "Report", number = "RAL-TR-2003-024 and TR/PA/03/77", institution = inst-RAL # " and " # inst-CERFACS, address = inst-RAL:adr # " and " # inst-CERFACS:adr, month = "????", year = "2003", bibdate = "Tue Jan 03 06:27:16 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "To appear in SIAM J. Sci. Comput.", URL = "http://epubs.cclrc.ac.uk/bitstream/316/raltr-2003024.pdf", acknowledgement = ack-nhfb, xxtitle = "Combining fast multipole techniques and an approximate inverse preconditioner for large parallel electromagnetics calculations", } @Book{Chen:2003:CTS, editor = "Zhangxin Chen and Roland Glowinski and Kaitai Li", title = "Current trends in scientific computing", volume = "329", publisher = pub-AMS, address = pub-AMS:adr, pages = "x + 372", year = "2003", ISBN = "0-8218-3261-1", ISBN-13 = "978-0-8218-3261-5", MRclass = "65-06 (35-06)", MRnumber = "MR2022625 (2004h:65005)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Papers from the ICM 2002 Beijing Satellite Conference on Scientific Computing held at Xi'an Jiaotong University, Xi'an, August 15--18, 2002", series = "Contemporary Mathematics", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Dorband:2003:SHS, author = "Ernst Nils Dorband and Marc Hemsendorf and David Merritt", title = "Systolic and hyper-systolic algorithms for the gravitational {$N$}-body problem, with an application to {Brownian} motion", journal = j-J-COMPUT-PHYS, volume = "185", number = "2", pages = "484--511", day = "1", month = mar, year = "2003", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/S0021-9991(02)00067-0", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:28 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999102000670", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Gumerov:2003:RCM, author = "Nail A. Gumerov and Ramani Duraiswami", title = "Recursions for the Computation of Multipole Translation and Rotation Coefficients for the {$3$-D} {Helmholtz} Equation", journal = j-SIAM-J-SCI-COMP, volume = "25", number = "4", pages = "1344--1381", month = jul, year = "2003", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827501399705", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Sat Apr 16 12:07:12 MDT 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/4; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/39970", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Have:2003:PIF, author = "Pascal Hav{\'e}", title = "A parallel implementation of the fast multipole method for {Maxwell}'s equations", journal = j-INT-J-NUMER-METHODS-FLUIDS, volume = "43", number = "8", pages = "839--864", year = "2003", CODEN = "IJNFDW", DOI = "https://doi.org/10.1002/fld.534", ISSN = "0271-2091 (print), 1097-0363 (electronic)", ISSN-L = "0271-2091", MRclass = "78M25 (65Y05)", MRnumber = "MR2030722 (2004k:78033)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "ECCOMAS Computational Fluid Dynamics Conference, Part III (Swansea, 2001)", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Fluids", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363", keywords = "fast multipole method", } @Article{Makino:2003:GMP, author = "J. Makino and T. Fukushige and M. Koga and K. Namura", title = "{GRAPE-6}: Massively-Parallel Special-Purpose Computer for Astrophysical Particle Simulations", journal = j-PUBL-ASTRON-SOC-JPN, volume = "55", number = "??", pages = "1163--1187", month = dec, year = "2003", CODEN = "PASJAC", ISSN = "0004-6264", bibdate = "Sat Nov 24 07:10:19 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Publications of the {Astronomical Society of Japan}", } @Article{Ogata:2003:SPI, author = "Shuji Ogata and Timothy J. Campbell and Rajiv K. Kalia and Aiichiro Nakano and Priya Vashishta and Satyavani Vemparala", title = "Scalable and portable implementation of the fast multipole method on parallel computers", journal = j-COMP-PHYS-COMM, volume = "153", number = "3", pages = "445--461", day = "1", month = jul, year = "2003", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/S0010-4655(03)00246-7", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 23:41:31 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465503002467", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Ohnuki:2003:TEA, author = "Shinichiro Ohnuki and Weng Cho Chew", title = "Truncation error analysis of multipole expansion", journal = j-SIAM-J-SCI-COMP, volume = "25", number = "4", pages = "1293--1306", year = "2003", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "78A45 (78M25)", MRnumber = "MR2045057 (2005c:78025)", MRreviewer = "Per L{\"o}tstedt", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Ong:2003:FAT, author = "E. T. Ong and K. M. Lim and K. H. Lee and H. P. Lee", title = "A fast algorithm for three-dimensional potential fields calculation: fast {Fourier} transform on multipoles", journal = j-J-COMPUT-PHYS, volume = "192", number = "1", pages = "244--261", day = "20", month = nov, year = "2003", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/S0021-9991(03)00377-2", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:35 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999103003772", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Pruett:2003:ABA, author = "C. David Pruett and Joseph W. Rudmin and Justin M. Lacy", title = "An adaptive {$N$}-body algorithm of optimal order", journal = j-J-COMPUT-PHYS, volume = "187", number = "1", pages = "298--317", day = "1", month = may, year = "2003", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/S0021-9991(03)00101-3", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:29 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999103001013", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Ramachandran:2003:FTD, author = "Prabhu Ramachandran and S. C. Rajan and M. Ramakrishna", title = "A fast, two-dimensional panel method", journal = j-SIAM-J-SCI-COMP, volume = "24", number = "6", pages = "1864--1878", year = "2003", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "76M25 (65E05)", MRnumber = "MR2005611 (2004g:76099)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Sarvas:2003:PIA, author = "Jukka Sarvas", title = "Performing interpolation and anterpolation entirely by fast {Fourier} transform in the {$3$-D} multilevel fast multipole algorithm", journal = j-SIAM-J-NUMER-ANAL, volume = "41", number = "6", pages = "2180--2196", year = "2003", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/S0036142902405655", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65T40 (78A40)", MRnumber = "MR2034611 (2005d:65249)", MRreviewer = "Feng Dai", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "fast multipole method", } @InCollection{Sylvand:2003:CIC, author = "Guillaume Sylvand", booktitle = "Mathematical and numerical aspects of wave propagation---{WAVES} 2003", title = "Complex industrial computations in electromagnetism using the fast multipole method", publisher = pub-SV, address = pub-SV:adr, pages = "657--662", year = "2003", MRclass = "78M25", MRnumber = "MR2080631", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InCollection{Tausch:2003:FMM, author = "Johannes Tausch", booktitle = "Current trends in scientific computing ({Xi'an}, 2002)", title = "The fast multipole method for arbitrary {Green}'s functions", volume = "329", publisher = pub-AMS, address = pub-AMS:adr, pages = "307--314", year = "2003", MRclass = "65N38", MRnumber = "MR2022655", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Contemp. Math.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Tausch:2003:MBS, author = "Johannes Tausch and Jacob White", title = "Multiscale bases for the sparse representation of boundary integral operators on complex geometry", journal = j-SIAM-J-SCI-COMP, volume = "24", number = "5", pages = "1610--1629", year = "2003", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N38", MRnumber = "MR1978152 (2004d:65151)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Tausch:2003:SBP, author = "J. Tausch", title = "Sparse {BEM} for potential theory and {Stokes} flow using variable order wavelets", journal = j-COMPUT-MECH, volume = "32", number = "4-6", pages = "312--318", year = "2003", CODEN = "CMMEEE", ISSN = "0178-7675 (print), 1432-0924 (electronic)", ISSN-L = "0178-7675", MRclass = "65N38 (76D07 76M15)", MRnumber = "MR2031264 (2004j:65202)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computational Mechanics. Solids, Fluids, Engineered Materials, Aging Infrastructure, Molecular Dynamics, Heat Transfer, Manufacturing Processes, Optimization, Fracture \& Integrity", keywords = "fast multipole method", } @InProceedings{Ying:2003:NPK, author = "Lexing Ying and George Biros and Denis Zorin and Harper Langston", title = "A new parallel kernel-independent fast multipole method", crossref = "ACM:2003:SII", pages = "??--??", year = "2003", bibdate = "Wed Nov 26 07:34:20 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.sc-conference.org/sc2003/inter_cal/inter_cal_detail.php?eventid=10707#2; http://www.sc-conference.org/sc2003/paperpdfs/pap166.pdf", abstract = "We present a new adaptive fast multipole algorithm and its parallel implementation. The algorithm is kernel-independent in the sense that the evaluation of pairwise interactions does not rely on any analytic expansions, but only utilizes kernel evaluations. The new method provides the enabling technology for many important problems in computational science and engineering. Examples include viscous flows, fracture mechanics and screened Coulombic interactions. Our MPI-based parallel implementation logically separates the computation and communication phases to avoid synchronization in the upward and downward computation passes, and thus allows us to fully exploit computation and communication overlapping. We measure isogranular and fixed-size scalability for a variety of kernels on the Pittsburgh Supercomputing Center's TCS-1 AlphaServer on up to 3000 processors. We have solved viscous flow problems with up to 2.1 billion unknowns and we have achieved 1.6 Tflops/s peak performance and 1.13 Tflops/s sustained performance.", acknowledgement = ack-nhfb, keywords = "adaptive algorithms; boundary integral equations; Fast multipole methods; massively parallel computing; N-body problems; viscous flows", } @Article{Antoine:2004:APE, author = "X. Antoine and A. Bendali and M. Darbas", title = "Analytic preconditioners for the electric field integral equation", journal = j-INT-J-NUMER-METHODS-ENG, volume = "61", number = "8", pages = "1310--1331", year = "2004", CODEN = "IJNMBH", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "78A45 (65R20)", MRnumber = "MR2095317 (2005e:78014)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", keywords = "fast multipole method", } @Book{Brebbia:2004:BEX, editor = "C. A. Brebbia", title = "Boundary elements {XXVI}", volume = "19", publisher = "WIT Press, Southampton", pages = "xvi + 466", year = "2004", ISBN = "1-85312-708-6", ISBN-13 = "978-1-85312-708-3", MRclass = "65-06 (65N38 74-06 74S15 76-06 76M15)", MRnumber = "MR2090760 (2005d:65006)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Papers from the 26th World Conference on Boundary Elements and other Mesh Reduction Methods held in Bologna, April 19--21, 2004", series = "International Series on Advances in Boundary Elements", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Buchau:2004:FEB, author = "Andr{\'e} Buchau and Wolfgang Hafla and Wolfgang M. Rucker", title = "Fast and efficient {$3$D} boundary element method for closed domains", journal = "COMPEL", volume = "23", number = "4", pages = "859--865", year = "2004", ISSN = "0332-1649", MRclass = "65N38 (78M15)", MRnumber = "MR2124778 (2005j:65154)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "COMPEL. The International Journal for Computation and Mathematics in Electrical and Electronic Engineering", keywords = "fast multipole method", } @InCollection{Buchau:2004:FMB, author = "A. Buchau and W. Hafla and F. Groh and W. M. Rucker", booktitle = "Boundary elements {XXVI}", title = "Fast multipole boundary element method for the solution of {$3$D} electrostatic field problems", volume = "19", publisher = "WIT Press, Southampton", pages = "369--379", year = "2004", MRclass = "65N38 (78A30 78M25)", MRnumber = "MR2088658", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Int. Ser. Adv. Bound. Elem.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Carayol:2004:EEF, author = "Quentin Carayol and Francis Collino", title = "Error estimates in the fast multipole method for scattering problems. {I}. {Truncation} of the {Jacobi--Anger} series", journal = j-MATH-MODEL-NUM-ANA, volume = "38", number = "2", pages = "371--394", year = "2004", CODEN = "RMMAEV", DOI = "https://doi.org/10.1051/m2an:2004017", ISSN = "0764-583X (print), 1290-3841 (electronic)", ISSN-L = "0764-583X", MRclass = "41A80 (33C10)", MRnumber = "MR2069152 (2005e:41089)", MRreviewer = "Luoqing Li", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "M2AN. Mathematical Modelling and Numerical Analysis", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=MZA", keywords = "fast multipole method", } @Article{Chandrasekaran:2004:DCA, author = "S. Chandrasekaran and M. Gu", title = "A divide-and-conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices", journal = j-NUM-MATH, volume = "96", number = "4", pages = "723--731", year = "2004", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "MR2036363 (2005a:65037)", MRreviewer = "Fabio Di Benedetto", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fast multipole method", } @Article{Darve:2004:EFM, author = "Eric Darve and Pascal Hav{\'e}", title = "Efficient fast multipole method for low-frequency scattering", journal = j-J-COMPUT-PHYS, volume = "197", number = "1", pages = "341--363", year = "2004", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2003.12.002", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65R20 (35J05 35Q60 78A45)", MRnumber = "MR2061248 (2005d:65245)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Darve:2004:FMM, author = "Eric Darve and Pascal Hav{\'e}", title = "A fast multipole method for {Maxwell} equations stable at all frequencies", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "362", number = "1816", pages = "603--628", day = "15", month = mar, year = "2004", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.2003.1337", ISSN = "1364-503X (print), 1471-2962 (electronic)", ISSN-L = "1364-503X", MRclass = "78A25 (78M25)", MRnumber = "MR2075909 (2005g:78005)", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", keywords = "fast multipole method", } @Article{Dubinski:2004:GPH, author = "J. Dubinski and J. Kim and C. Park and R. Humble", title = "{GOTPM}: a parallel hybrid particle-mesh treecode", journal = j-NEW-ASTRON, volume = "9", number = "??", pages = "111--126", month = feb, year = "2004", CODEN = "NEASFS", ISSN = "1384-1076 (print), 1384-1092 (electronic)", ISSN-L = "1384-1076", bibdate = "Sat Nov 24 07:17:15 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "New Astronomy", journal-URL = "http://www.sciencedirect.com/science/journal/13841076", } @Article{El-Shenawee:2004:RSM, author = "Magda El-Shenawee", title = "Resonant spectra of malignant breast cancer tumors using the three-dimensional electromagnetic fast multipole model", journal = j-IEEE-TRANS-BIOMED-ENG, volume = "51", number = "1", pages = "35--44", month = jan, year = "2004", CODEN = "IEBEAX", DOI = "https://doi.org/10.1109/TBME.2003.820392", ISSN = "0018-9294 (print), 1558-2531 (electronic)", ISSN-L = "0018-9294", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Biomedical Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=10", } @Article{Fann:2004:SOM, author = "G. Fann and G. Beylkin and R. J. Harrison and K. E. Jordan", title = "Singular operators in multiwavelet bases", journal = j-IBM-SYS-J, volume = "48", number = "2", pages = "161--172", month = "????", year = "2004", CODEN = "IBMSA7", DOI = "https://doi.org/10.1147/rd.482.0161", ISSN = "0018-8670", bibdate = "Tue Sep 28 06:50:39 MDT 2004", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.research.ibm.com/journal/", URL = "http://www.research.ibm.com/journal/rd/482/fann.html; http://www.research.ibm.com/journal/rd/482/fann.pdf", abstract = "We review some recent results on multiwavelet methods for solving integral and partial differential equations and present an efficient representation of operators using discontinuous multiwavelet bases, including the case for singular integral operators. Numerical calculus using these representations produces fast $ O(N) $ methods for multiscale solution of integral equations when combined with low separation rank methods. Using this formulation, we compute the Hilbert transform and solve the Poisson and Schr{\"o}dinger equations. For a fixed order of multiwavelets and for arbitrary but finite precision computations, the computational complexity is $ O(N) $. The computational structures are similar to fast multipole methods but are more generic in yielding fast $ O(N) $ algorithm development.", acknowledgement = ack-nhfb, fjournal = "IBM Systems Journal", keywords = "fast multipole method", ordernumber = "G322-0239", } @Article{Ginste:2004:FMM, author = "Dries Vande Ginste and Hendrik Rogier and Frank Olyslager and Dani{\"e}l De Zutter", title = "A fast multipole method for layered media based on the application of perfectly matched layers---the {$2$-D} case", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "52", number = "10", pages = "2631--2640", year = "2004", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2004.834396", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M25 (78A48)", MRnumber = "MR2107315", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @Article{Greengard:2004:IEM, author = "Leslie Greengard and Mary Catherine Kropinski", title = "Integral equation methods for {Stokes} flow in doubly-periodic domains", journal = j-J-ENG-MATH, volume = "48", number = "2", pages = "157--170", year = "2004", CODEN = "JLEMAU", ISSN = "0022-0833 (print), 1573-2703 (electronic)", ISSN-L = "0022-0833", MRclass = "76D07 (65R20 76M25)", MRnumber = "MR2033414 (2004j:76042)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Engineering Mathematics", journal-URL = "http://www.springerlink.com/content/0022-0833", keywords = "fast multipole method", } @Article{Jiang:2004:NCE, author = "L. J. Jiang and W. C. Chew", title = "A new capacitance extraction method", journal = j-J-ELECTROMAGN-WAVES-APPL, volume = "18", number = "3", pages = "287--299", year = "2004", CODEN = "JEWAE5", ISSN = "0920-5071 (print), 1569-3937 (electronic)", ISSN-L = "0920-5071", MRclass = "78M25", MRnumber = "MR2045289 (2005b:78026)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Electromagnetic Waves and Applications", journal-URL = "http://www.tandfonline.com/loi/tewa20", keywords = "fast multipole method", } @Article{Kudin:2004:RIL, author = "Konstantin N. Kudin and Gustavo E. Scuseria", title = "Revisiting infinite lattice sums with the periodic fast multipole method", journal = j-J-CHEM-PHYS, volume = "121", number = "7", pages = "2886--2890", day = "15", month = aug, year = "2004", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.1771634", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", report-number = "Kudin, Konstantin/A-7723-2008; Scuseria, Gustavo/F-6508-2011", } @Article{Lee:2004:SIP, author = "Jeonghwa Lee and Jun Zhang and Cai-Cheng Lu", title = "Sparse inverse preconditioning of multilevel fast multipole algorithm for hybrid integral equations in electromagnetics", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "52", number = "9", pages = "2277--2287", year = "2004", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2004.834084", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78A45 (78M25)", MRnumber = "MR2084368", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @InCollection{Lemou:2004:MAF, author = "Mohammed Lemou", booktitle = "Modeling and computational methods for kinetic equations", title = "On multipole approximations of the {Fokker--Planck--Landau} operator", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "195--218", year = "2004", MRclass = "82C80 (82C31 82D10)", MRnumber = "MR2068585 (2005f:82122)", MRreviewer = "Emilio N. M. Cirillo", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Model. Simul. Sci. Eng. Technol.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Makino:2004:FPT, author = "J. Makino", title = "A Fast Parallel Treecode with {GRAPE}", journal = j-PUBL-ASTRON-SOC-JPN, volume = "56", number = "??", pages = "521--531", month = jun, year = "2004", CODEN = "PASJAC", ISSN = "0004-6264", bibdate = "Sat Nov 24 07:24:15 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Publications of the {Astronomical Society of Japan}", } @Article{Nilsson:2004:SHF, author = "Martin Nilsson", title = "Stability of the High Frequency Fast Multipole Method for {Helmholtz}' Equation in Three Dimensions", journal = j-BIT, volume = "44", number = "4", pages = "773--791", year = "2004", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/s10543-004-4412-8", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65B10", MRnumber = "MR2211044 (2006m:65013)", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=44&issue=4; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=44&issue=4&spage=773", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", keywords = "fast multipole method", } @Article{Ong:2004:FFT, author = "Eng Teo Ong and Heow Pueh Lee and Kian Meng Lim", title = "A fast {Fourier} transform on multipoles ({FFTM}) algorithm for solving {Helmholtz} equation in acoustics analysis", journal = j-J-ACOUST-SOC-AM, volume = "116", number = "3", pages = "1362--1371", month = sep, year = "2004", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.1775273", ISSN = "0001-4966", ISSN-L = "0001-4966", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", report-number = "Lim, Kian-Meng/B-2556-2010", } @Article{Potts:2004:FCR, author = "Daniel Potts and Gabriele Steidl and Arthur Nieslony", title = "Fast convolution with radial kernels at nonequispaced knots", journal = j-NUM-MATH, volume = "98", number = "2", pages = "329--351", year = "2004", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65T40 (65F50 65R10 65Y20)", MRnumber = "MR2092745 (2005f:65184)", MRreviewer = "Manfred Tasche", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fast multipole method", } @Article{Rodin:2004:PCP, author = "Gregory J. Rodin and James R. Overfelt", title = "Periodic conduction problems: the fast multipole method and convergence of integral equations and lattice sums", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI, volume = "460", number = "2050", pages = "2883--2902", year = "2004", CODEN = "PRLAAZ", DOI = "https://doi.org/10.1098/rspa.2004.1318", ISSN = "1364-5021 (print), 1471-2946 (electronic)", ISSN-L = "1364-5021", MRclass = "65R20 (74Q05 76M50 76S05)", MRnumber = "MR2097277 (2005i:65227)", MRreviewer = "D. G. Natroshvili", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rspa.royalsocietypublishing.org/", keywords = "fast multipole method", } @Article{Sabariego:2004:AFM, author = "R. V. Sabariego and J. Gyselinck and C. Geuzaine and P. Dular and W. Legros", title = "Application of the fast multipole method to hybrid finite element-boundary element models", journal = j-J-COMPUT-APPL-MATH, volume = "168", number = "1--2", pages = "403--412", day = "1", month = jul, year = "2004", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2003.12.011", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65N38 (65N30)", MRnumber = "MR2079507", bibdate = "Sat Feb 25 12:59:59 MST 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042703009841", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "fast multipole method", } @Article{Sabariego:2004:CME, author = "R. V. Sabariego and J. Gyselinck and P. Dular and J. De Coster and F. Henrotte and K. Hameyer", title = "Coupled mechanical-electrostatic {FE--BE} analysis with {FMM} acceleration: application to a shunt capacitive {MEMS} switch", journal = "COMPEL", volume = "23", number = "4", pages = "876--884", year = "2004", ISSN = "0332-1649", MRclass = "65N30 (65N38 78M10 78M15)", MRnumber = "MR2124780 (2005j:65148)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "COMPEL. The International Journal for Computation and Mathematics in Electrical and Electronic Engineering", keywords = "fast multipole method", } @Article{Suda:2004:APA, author = "Reiji Suda and Shingo Kuriyama", title = "Another preprocessing algorithm for generalized one-dimensional fast multipole method", journal = j-J-COMPUT-PHYS, volume = "195", number = "2", pages = "790--803", year = "2004", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2003.10.018", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65F30", MRnumber = "MR2046755 (2004m:65058)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Suda:2004:SAF, author = "Reiji Suda", title = "Stability analysis of the fast {Legendre} transform algorithm based on the fast multipole method", journal = "Proc. Estonian Acad. Sci. Phys. Math.", volume = "53", number = "2", pages = "107--115", year = "2004", ISSN = "1406-0086", MRclass = "65R10", MRnumber = "MR2066750 (2005d:65242)", MRreviewer = "Alexander S. Denisjuk", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Estonian Academy of Sciences. Proceedings. Physics. Mathematics. Eesti Teaduste Akadeemia. Toimetised. F{\"u}{\"u}sika. Matemaatika", keywords = "fast multipole method", } @Article{Tausch:2004:VOF, author = "J. Tausch", title = "The variable order fast multipole method for boundary integral equations of the second kind", journal = j-COMPUTING, volume = "72", number = "3-4", pages = "267--291", year = "2004", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/s00607-004-0063-5", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65N38", MRnumber = "MR2081824 (2005h:65230)", MRreviewer = "Carsten Carstensen", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computing. Archives for Scientific Computing", journal-URL = "http://link.springer.com/journal/607", keywords = "fast multipole method", } @Article{Ying:2004:KIA, author = "Lexing Ying and George Biros and Denis Zorin", title = "A kernel-independent adaptive fast multipole algorithm in two and three dimensions", journal = j-J-COMPUT-PHYS, volume = "196", number = "2", pages = "591--626", year = "2004", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2003.11.021", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N99 (35J05 35Q30)", MRnumber = "MR2054351 (2005d:65235)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Antoine:2005:AIE, author = "X. Antoine and M. Darbas", title = "Alternative integral equations for the iterative solution of acoustic scattering problems", journal = j-QUART-J-MECH-APPLIED-MATH, volume = "58", number = "1", pages = "107--128", year = "2005", CODEN = "QJMMAV", DOI = "https://doi.org/10.1093/qjmamj/hbh023", ISSN = "0033-5614 (print), 1464-3855 (electronic)", ISSN-L = "0033-5614", MRclass = "76Q05 (65R20 76M25)", MRnumber = "MR2136972 (2005k:76118)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "The Quarterly Journal of Mechanics and Applied Mathematics", journal-URL = "http://qjmam.oxfordjournals.org/content/by/year", keywords = "fast multipole method", } @Article{Barba:2005:AVV, author = "L. A. Barba and A. Leonard and C. B. Allen", title = "Advances in viscous vortex methods---meshless spatial adaption based on radial basis function interpolation", journal = j-INT-J-NUMER-METHODS-FLUIDS, volume = "47", number = "5", pages = "387--421", year = "2005", CODEN = "IJNFDW", DOI = "https://doi.org/10.1002/fld.811", ISSN = "0271-2091 (print), 1097-0363 (electronic)", ISSN-L = "0271-2091", MRclass = "76M23 (65M50 76B99 76D05)", MRnumber = "MR2115535 (2005h:76062)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Fluids", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363", keywords = "fast multipole method", } @Article{Bischof:2005:DPC, author = "Holger Bischof and Sergei Gorlatch and Roman Leshchinskiy and Jens M{\"u}ller", title = "Data Parallelism in {C++} Template Programs: a {Barnes--Hut} Case Study", journal = j-PARALLEL-PROCESS-LETT, volume = "15", number = "3", pages = "257--272", month = sep, year = "2005", CODEN = "PPLTEE", DOI = "https://doi.org/10.1142/S0129626405002209", ISSN = "0129-6264 (print), 1793-642X (electronic)", bibdate = "Thu Sep 2 09:08:11 MDT 2010", bibsource = "http://ejournals.wspc.com.sg/ppl/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Parallel Processing Letters", journal-URL = "http://www.worldscientific.com/loi/ppl", } @Article{Bokanowski:2005:FMM, author = "Olivier Bokanowski and Mohammed Lemou", title = "Fast Multipole Method for Multivariable Integrals", journal = j-SIAM-J-NUMER-ANAL, volume = "42", number = "5", pages = "2098--2117", month = oct, year = "2005", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/S0036142902409690", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65D30 (81-08)", MRnumber = "MR2139238 (2006b:65028)", MRreviewer = "Kai Diethelm", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/42/5; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/40969", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "fast multipole method", } @Article{Buchau:2005:FMM, author = "Andr{\'e} Buchau and Wolfgang Hafla and Friedemann Groh and Wolfgang M. Rucker", title = "Fast multipole method based solution of electrostatic and magnetostatic field problems", journal = j-COMPUT-VIS-SCI, volume = "8", number = "3-4", pages = "137--144", year = "2005", DOI = "https://doi.org/10.1007/s00791-005-0003-8", ISSN = "1432-9360 (print), 1433-0369 (electronic)", ISSN-L = "1432-9360", MRclass = "78M05 (78A15 78A30)", MRnumber = "MR2191673", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computing and Visualization in Science", keywords = "fast multipole method", } @Article{Carayol:2005:EEF, author = "Quentin Carayol and Francis Collino", title = "Error estimates in the fast multipole method for scattering problems. {II}. {Truncation} of the {Gegenbauer} series", journal = j-MATH-MODEL-NUM-ANA, volume = "39", number = "1", pages = "183--221", year = "2005", CODEN = "RMMAEV", DOI = "https://doi.org/10.1051/m2an:2005008", ISSN = "0764-583X (print), 1290-3841 (electronic)", ISSN-L = "0764-583X", MRclass = "41A80 (33C55 33F05 76Q05)", MRnumber = "MR2136205 (2006h:41047)", MRreviewer = "Luoqing Li", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "M2AN. Mathematical Modelling and Numerical Analysis", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=MZA", keywords = "fast multipole method", } @Article{Carpentieri:2005:CFM, author = "B. Carpentieri and I. S. Duff and L. Giraud and G. Sylvand", title = "Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations", journal = j-SIAM-J-SCI-COMP, volume = "27", number = "3", pages = "774--792", month = may, year = "2005", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/040603917", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N38 (78M15 78M25)", MRnumber = "MR2199907 (2006j:65376)", MRreviewer = "Nilima Nigam", bibdate = "Mon Nov 21 14:52:54 MST 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/27/3; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/60391", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Chowdhury:2005:SLM, author = "Indranil Chowdhury and Vikram Jandhyala", title = "Single Level Multipole Expansions and Operators for Potentials of the Form $ r^{- \lambda } $", journal = j-SIAM-J-SCI-COMP, volume = "26", number = "3", pages = "930--943", month = may, year = "2005", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Sat Apr 16 12:07:23 MDT 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/26/3; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/60224", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Fischer:2005:AIP, author = "Matthias Fischer and Holger Perfahl and Lothar Gaul", title = "Approximate inverse preconditioning for the fast multipole {BEM} in acoustics", journal = j-COMPUT-VIS-SCI, volume = "8", number = "3-4", pages = "169--177", year = "2005", DOI = "https://doi.org/10.1007/s00791-005-0006-5", ISSN = "1432-9360 (print), 1433-0369 (electronic)", ISSN-L = "1432-9360", MRclass = "65N38", MRnumber = "MR2191676", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computing and Visualization in Science", keywords = "fast multipole method", } @Article{Frauenfelder:2005:FEE, author = "Philipp Frauenfelder and Christoph Schwab and Radu Alexandru Todor", title = "Finite elements for elliptic problems with stochastic coefficients", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "194", number = "2-5", pages = "205--228", year = "2005", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/j.cma.2004.04.008", ISSN = "0045-7825, 0374-2830", ISSN-L = "0045-7825", MRclass = "65N30 (60H15 60H35)", MRnumber = "MR2105161 (2005i:65186)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", journal-URL = "http://www.sciencedirect.com/science/journal/00457825", keywords = "fast multipole method", } @Article{Gumerov:2005:CSC, author = "Nail A. Gumerov and Ramani Duraiswami", title = "Computation of scattering from clusters of spheres using the fast multipole method", journal = j-J-ACOUST-SOC-AM, volume = "117", number = "4 Pt 1", pages = "1744--1761", month = apr, year = "2005", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.1853017", ISSN = "0001-4966", ISSN-L = "0001-4966", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", report-number = "Gumerov, Nail/G-7529-2011; Duraiswami, Ramani/J-6070-2012", } @Article{Harbrecht:2005:WGB, author = "H. Harbrecht and U. K{\"a}hler and R. Schneider", title = "Wavelet {Galerkin} {BEM} on unstructured meshes", journal = j-COMPUT-VIS-SCI, volume = "8", number = "3-4", pages = "189--199", year = "2005", DOI = "https://doi.org/10.1007/s00791-005-0009-2", ISSN = "1432-9360 (print), 1433-0369 (electronic)", ISSN-L = "1432-9360", MRclass = "65N38 (65T60)", MRnumber = "MR2191678 (2006j:65378)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computing and Visualization in Science", keywords = "fast multipole method", } @Article{Izaguirre:2005:PMS, author = "Jes{\'u}s A. Izaguirre and Scott S. Hampton and Thierry Matthey", title = "Parallel multigrid summation for the {$N$}-body problem", journal = j-J-PAR-DIST-COMP, volume = "65", number = "8", pages = "949--962", month = aug, year = "2005", CODEN = "JPDCER", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Fri Jul 11 20:32:33 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.sciencedirect.com/science/journal/07437315", abstract = "An $ \Theta (n) $ parallel multigrid summation method (MG) for the N-body problem is presented. The method was originally devised for vacuum boundary conditions. Here, it is extended to periodic boundary conditions and implemented in parallel using force decomposition and MPI. MG is based on a hierarchical decomposition of computational kernels on multiple grids. For low accuracy calculations, appropriate for molecular dynamics, a sequential implementation is as fast or faster than particle mesh Ewald (PME). Our parallel implementation is more scalable than PME. The method can be combined with multiple time stepping integrators to produce a powerful simulation protocol for simulation of biological molecules and other materials. The parallel implementation is tested on both a Linux cluster with Myrinet interconnect and a shared memory computer. It is available as open-source at http://protomol.sourceforge.net. An auxiliary tool allows the automatic selection of optimal parameters for MG, and is available at http://mdsimaid.cse.nd.edu.", acknowledgement = ack-nhfb, fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", } @Article{Kurzak:2005:COF, author = "Jakub Kurzak and B. Montgomery Pettitt", title = "Communications overlapping in fast multipole particle dynamics methods", journal = j-J-COMPUT-PHYS, volume = "203", number = "2", pages = "731--743", day = "1", month = mar, year = "2005", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2004.09.012", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:48 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999104004024", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Kurzak:2005:MPI, author = "Jakub Kurzak and B. Montgomery Pettitt", title = "Massively parallel implementation of a fast multipole method for distributed memory machines", journal = j-J-PAR-DIST-COMP, volume = "65", number = "7", pages = "870--881", month = jul, year = "2005", CODEN = "JPDCER", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Fri Jul 11 20:32:33 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.sciencedirect.com/science/journal/07437315", acknowledgement = ack-nhfb, fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", } @Article{Kybic:2005:FMA, author = "Jan Kybic and Maureen Clerc and Olivier Faugeras and Renaud Keriven and Tho Papadopoulo", title = "Fast multipole acceleration of the {MEG\slash EEG} boundary element method", journal = j-PHYS-MED-BIOL, volume = "50", number = "19", pages = "4695--4710", month = "????", year = "2005", CODEN = "PHMBA7", DOI = "https://doi.org/10.1088/0031-9155/50/19/018", ISSN = "0031-9155 (print), 1361-6560 (electronic)", ISSN-L = "0031-9155", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Physics in Medicine and Biology", journal-URL = "http://iopscience.iop.org/0031-9155", } @InCollection{Langer:2005:CBF, author = "Ulrich Langer and Olaf Steinbach", booktitle = "Domain decomposition methods in science and engineering", title = "Coupled boundary and finite element tearing and interconnecting methods", volume = "40", publisher = "Springer", address = "Berlin", pages = "83--97", year = "2005", DOI = "https://doi.org/10.1007/3-540-26825-1_6", MRclass = "65N38 (65N30 65N55)", MRnumber = "MR2235732 (2007c:65113)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Comput. Sci. Eng.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Margonari:2005:FMM, author = "Massimiliano Margonari and Marc Bonnet", title = "Fast multipole method applied to elastostatic {BEM-FEM} coupling", journal = j-COMP-STRUCTURES, volume = "83", number = "10-11", pages = "700--717", year = "2005", CODEN = "CMSTCJ", DOI = "https://doi.org/10.1016/j.compstruc.2004.09.007", ISSN = "0045-7949 (print), 1879-2243 (electronic)", ISSN-L = "0045-7949", MRclass = "65N38 (74S05 74S15)", MRnumber = "MR2140260 (2005m:65293)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computers \& Structures. An International Journal", journal-URL = "http://www.sciencedirect.com/science/journal/00457949", keywords = "fast multipole method", } @Article{Marzouk:2005:MCO, author = "Youssef M. Marzouk and Ahmed F. Ghoniem", title = "{$K$}-means clustering for optimal partitioning and dynamic load balancing of parallel hierarchical {$N$}-body simulations", journal = j-J-COMPUT-PHYS, volume = "207", number = "2", pages = "493--528", day = "10", month = aug, year = "2005", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2005.01.021", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:53 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999105000380", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Of:2005:AFM, author = "G. Of and O. Steinbach and W. L. Wendland", title = "Applications of a fast multipole {Galerkin} in boundary element method in linear elastostatics", journal = j-COMPUT-VIS-SCI, volume = "8", number = "3-4", pages = "201--209", year = "2005", DOI = "https://doi.org/10.1007/s00791-005-0010-9", ISSN = "1432-9360 (print), 1433-0369 (electronic)", ISSN-L = "1432-9360", MRclass = "65N38 (78A05 78A30); 74S15 (65N38)", MRnumber = "MR2191679 (2006h:74072)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computing and Visualization in Science", keywords = "fast multipole method", } @Article{Ohnuki:2005:EMM, author = "Shinichiro Ohnuki and Weng Cho Chew", title = "Error Minimization of Multipole Expansion", journal = j-SIAM-J-SCI-COMP, volume = "26", number = "6", pages = "2047--2065", month = nov, year = "2005", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Mon Nov 21 14:52:48 MST 2005", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/26/6; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/41797", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Papa:2005:CMD, author = "M. Papa and G. Giuliani and A. Bonasera", title = "Constrained molecular dynamics {II}: An {$N$}-body approach to nuclear systems", journal = j-J-COMPUT-PHYS, volume = "208", number = "2", pages = "403--415", day = "20", month = sep, year = "2005", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2005.02.032", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:54 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999105000847", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Ramachandran:2005:FMM, author = "Prabhu Ramachandran and S. C. Rajan and M. Ramakrishna", title = "A Fast Multipole Method for Higher Order Vortex Panels in Two Dimensions", journal = j-SIAM-J-SCI-COMP, volume = "26", number = "5", pages = "1620--1642", month = sep, year = "2005", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827502420719", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "76M25 (34B60 35J05 35Q35 65N99)", MRnumber = "MR2142588 (2007k:76111)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/26/5; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/42071", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Book{Simos:2005:ACM, editor = "Theodore Simos and George Maroulis", title = "Advances in computational methods in sciences and engineering 2005", volume = "4", publisher = "VSP", address = "Utrecht", pages = "i--viii + 1057--1905", year = "2005", ISBN = "90-6764-444-7", ISBN-13 = "978-90-6764-444-0", MRclass = "65-06", MRnumber = "MR2229199 (2007e:65003)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Selected papers from the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2005) held in Loutraki, October 21--26, 2005", series = "Lecture Series on Computer and Computational Sciences", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Springel:2005:CSC, author = "V. Springel", title = "The cosmological simulation code {GADGET-2}", journal = j-MONTHLY-NOT-ROY-ASTRON-SOC, volume = "364", number = "??", pages = "1105--1134", month = dec, year = "2005", CODEN = "MNRAA4", ISSN = "0035-8711 (print), 1365-2966 (electronic)", ISSN-L = "0035-8711", bibdate = "Sat Nov 24 07:18:48 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Monthly Notices of the Royal Astronomical Society", } @Article{Springel:2005:SFE, author = "V. Springel and S. D. M. White and A. Jenkins and C. S. Frenk and N. Yoshida and L. Gao and J. Navarro and R. Thacker and D. Croton and J. Helly and J. A. Peacock and S. Cole and P. Thomas and H. Couchman and A. Evrard and J. Colberg and F. Pearce", title = "Simulations of the formation, evolution and clustering of galaxies and quasars", journal = j-NATURE, volume = "435", number = "7042", pages = "629--636", month = jun, year = "2005", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/nature03597", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Nov 24 07:22:51 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.nature.com/nature/journal/v435/n7042/full/nature03597.html", acknowledgement = ack-nhfb, fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", } @Article{Wang:2005:FMB, author = "Pengbo Wang and Zhenhan Yao and Haitao Wang", title = "Fast multipole {BEM} for simulation of {$2$-D} solids containing large numbers of cracks", journal = "Tsinghua Sci. Technol.", volume = "10", number = "1", pages = "76--81", year = "2005", CODEN = "TSTEF7", DOI = "https://doi.org/10.1016/S1007-0214(05)70012-2", ISSN = "1007-0214", MRclass = "65N38 (74S15)", MRnumber = "MR2120686", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Tsinghua Science and Technology", keywords = "fast multipole method", } @Article{Wang:2005:NFM, author = "Haitao Wang and Zhenhan Yao", title = "A new fast multipole boundary element method for large scale analysis of mechanical properties in {$3$D} particle-reinforced composites", journal = "CMES Comput. Model. Eng. Sci.", volume = "7", number = "1", pages = "85--95", year = "2005", ISSN = "1526-1492", MRclass = "74S15 (65N38)", MRnumber = "MR2118897", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "CMES. Computer Modeling in Engineering \& Sciences", keywords = "fast multipole method", } @Article{Yoshikawa:2005:PTM, author = "K. Yoshikawa and T. Fukushige", title = "{PPPM} and {TreePM} Methods on {GRAPE} Systems for Cosmological {$N$}-Body Simulations", journal = j-PUBL-ASTRON-SOC-JPN, volume = "57", number = "??", pages = "849--860", month = dec, year = "2005", CODEN = "PASJAC", ISSN = "0004-6264", bibdate = "Sat Nov 24 07:20:02 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Publications of the {Astronomical Society of Japan}", } @Article{Yu:2005:EUS, author = "Chun Xiao Yu and Guang Xian Shen and Yun Feng Mu", title = "Existence and uniqueness of the solution for fast multipole boundary element method", journal = "Math. Theory Appl. (Changsha)", volume = "25", number = "1", pages = "21--25", year = "2005", ISSN = "1006-8074", MRclass = "65N38", MRnumber = "MR2155148", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Theory and Applications", keywords = "fast multipole method", } @Article{Zhao:2005:FMB, author = "Libin Zhao and Zhenhan Yao", title = "Fast multipole {BEM} for {$3$-D} elastostatic problems with applications for thin structures", journal = "Tsinghua Sci. Technol.", volume = "10", number = "1", pages = "67--75", year = "2005", CODEN = "TSTEF7", DOI = "https://doi.org/10.1016/S1007-0214(05)70011-0", ISSN = "1007-0214", MRclass = "65N38 (74S15)", MRnumber = "MR2120685", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Tsinghua Science and Technology", keywords = "fast multipole method", } @Article{Zinchenko:2005:MAA, author = "Alexander Z. Zinchenko and Robert H. Davis", title = "A multipole-accelerated algorithm for close interaction of slightly deformable drops", journal = j-J-COMPUT-PHYS, volume = "207", number = "2", pages = "695--735", day = "10", month = aug, year = "2005", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2005.01.026", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:12:53 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999105000471", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Bebendorf:2006:AIP, author = "Mario Bebendorf", title = "Approximate inverse preconditioning of finite element discretizations of elliptic operators with nonsmooth coefficients", journal = j-SIAM-J-MAT-ANA-APPL, volume = "27", number = "4", pages = "909--929", year = "2006", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479803437621", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65F10 (65F35)", MRnumber = "MR2205604 (2006k:65074)", MRreviewer = "Martin J. Gander", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", journal-URL = "http://epubs.siam.org/simax", keywords = "fast multipole method", } @Article{Becciani:2006:FMP, author = "U. Becciani and M. Comparato and V. Antonuccio-Delogu", title = "{FLY MPI-2}: a parallel tree code for {LSS}", journal = j-COMP-PHYS-COMM, volume = "174", number = "7", pages = "605--606", day = "1", month = apr, year = "2006", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2006.01.002", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Tue Feb 14 14:46:14 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465506000713", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Bunse-Gerstner:2006:PGC, author = "Angelika Bunse-Gerstner and Ignacio Guti{\'e}rrez-Ca{\~n}as", title = "A preconditioned {GMRES} for complex dense linear systems from electromagnetic wave scattering problems", journal = j-LINEAR-ALGEBRA-APPL, volume = "416", number = "1", pages = "135--147", year = "2006", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/j.laa.2005.11.022", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65F10 (15A06 65F35 78A46 78M25)", MRnumber = "MR2232925 (2006m:65060)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", keywords = "fast multipole method", } @Article{Carpentieri:2006:MFT, author = "B. Carpentieri", title = "A matrix-free two-grid preconditioner for solving boundary integral equations in electromagnetism", journal = j-COMPUTING, volume = "77", number = "3", pages = "275--296", year = "2006", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/s00607-006-0161-7", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65F10 (65N38 78A45)", MRnumber = "MR2221782 (2006m:65061)", MRreviewer = "Jin Xi Zhao", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computing. Archives for Scientific Computing", journal-URL = "http://link.springer.com/journal/607", keywords = "fast multipole method", } @Article{Cheng:2006:AFS, author = "Hongwei Cheng and Jingfang Huang and Terry Jo Leiterman", title = "An adaptive fast solver for the modified {Helmholtz} equation in two dimensions", journal = j-J-COMPUT-PHYS, volume = "211", number = "2", pages = "616--637", year = "2006", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N99", MRnumber = "MR2173398 (2006e:65242)", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @InCollection{Cheng:2006:RIW, author = "H. Cheng and W. Crutchfield and Z. Gimbutas and L. Greengard and J. Huang and V. Rokhlin and N. Yarvin and J. Zhao", booktitle = "Inverse problems, multi-scale analysis and effective medium theory", title = "Remarks on the implementation of the wideband {FMM} for the {Helmholtz} equation in two dimensions", volume = "408", publisher = "Amer. Math. Soc.", address = "Providence, RI", pages = "99--110", year = "2006", MRclass = "65R20 (35J05 78M15)", MRnumber = "MR2262353 (2007h:65151)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Contemp. Math.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Cheng:2006:WFM, author = "Hongwei Cheng and William Y. Crutchfield and Zydrunas Gimbutas and Leslie F. Greengard and J. Frank Ethridge and Jingfang Huang and Vladimir Rokhlin and Norman Yarvin and Junsheng Zhao", title = "A wideband fast multipole method for the {Helmholtz} equation in three dimensions", journal = j-J-COMPUT-PHYS, volume = "216", number = "1", pages = "300--325", year = "2006", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2005.12.001", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N30", MRnumber = "MR2223446 (2007a:65193)", MRreviewer = "Bruce A. Finlayson", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Coifman:2006:DW, author = "Ronald R. Coifman and Mauro Maggioni", title = "Diffusion wavelets", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "21", number = "1", pages = "53--94", year = "2006", DOI = "https://doi.org/10.1016/j.acha.2006.04.004", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C40 (60J60 60J70 65T60 94A12)", MRnumber = "MR2238667 (2007d:42067)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", keywords = "fast multipole method", } @Article{Dachsel:2006:FAD, author = "Holger Dachsel", title = "Fast and accurate determination of the {Wigner} rotation matrices in the fast multipole method", journal = j-J-CHEM-PHYS, volume = "124", number = "14", pages = "144115--144115", day = "14", month = apr, year = "2006", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.2194548", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", } @InCollection{Gatard:2006:HOB, author = "L. Gatard and A. Bachelot and K. Mer-Nkonga", booktitle = "Numerical mathematics and advanced applications", title = "High order boundary integral methods for {Maxwell}'s equations: coupling of microlocal discretization and fast multipole methods", publisher = "Springer", address = "Berlin", pages = "1137--1145", year = "2006", DOI = "https://doi.org/10.1007/978-3-540-34288-5_114", MRclass = "78A25 (65N30 78A45 78M10)", MRnumber = "MR2303746", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @InCollection{Gaul:2006:LSSa, author = "Lothar Gaul and Matthias Fischer", booktitle = "Multifield problems in solid and fluid mechanics", title = "Large-scale simulation of acoustic-structure interaction using the fast multipole {BEM}", volume = "28", publisher = "Springer", address = "Berlin", pages = "219--244", year = "2006", DOI = "https://doi.org/10.1007/978-3-540-34961-7_7", MRclass = "74F10 (74S05 74S15 76M10 76M15 76Q05)", MRnumber = "MR2449384", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Appl. Comput. Mech.", acknowledgement = ack-nhfb, } @Article{Gaul:2006:LSSb, author = "L. Gaul and M. Fischer", title = "Large-scale simulations of acoustic-structure interaction using the fast multipole {BEM}", journal = j-Z-ANGE-MATH-MECH, volume = "86", number = "1", pages = "4--17", year = "2006", CODEN = "ZAMMAX", ISSN = "0044-2267 (print), 1521-4001 (electronic)", ISSN-L = "0044-2267", MRclass = "74F10 (74S15 76Q05)", MRnumber = "MR2193643", bibdate = "Sat Apr 1 07:37:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "ZAMM. Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001", keywords = "fast multipole method", } @Article{Giraud:2006:PSL, author = "L. Giraud and J. Langou and G. Sylvand", title = "On the parallel solution of large industrial wave propagation problems", journal = j-COMPUT-ACOUSTICS, volume = "14", number = "1", pages = "83--111", year = "2006", DOI = "https://doi.org/10.1142/S0218396X06002780", ISSN = "0218-396X", MRclass = "65N30 (65Y05 76Q05 78A40)", MRnumber = "MR2222816 (2006m:65266)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Acoustics. An IMACS Journal", keywords = "fast multipole method", } @Article{Gumerov:2006:FMM, author = "Nail A. Gumerov and Ramani Duraiswami", title = "Fast multipole method for the biharmonic equation in three dimensions", journal = j-J-COMPUT-PHYS, volume = "215", number = "1", pages = "363--383", year = "2006", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2005.10.029", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N35", MRnumber = "MR2215660 (2006j:65373)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @InCollection{Houzaki:2006:FPR, author = "Kenji Houzaki and Naoshi Nishimura and Yoshihiro Otani", booktitle = "Inverse problems, multi-scale analysis and effective medium theory", title = "An {FMM} for periodic rigid-inclusion problems and its application to homogenisation", volume = "408", publisher = "Amer. Math. Soc.", address = "Providence, RI", pages = "81--98", year = "2006", MRclass = "74G75 (35B27 35J05 65N99 74E30 74G15 74Q05)", MRnumber = "MR2262352 (2007h:74037)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Contemp. Math.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Kovvali:2006:RPP, author = "Narayan Kovvali and Wenbin Lin and Zhiqin Zhao and Luise Couchman and Lawrence Carin", title = "Rapid Prolate Pseudospectral Differentiation and Interpolation with the Fast Multipole Method", journal = j-SIAM-J-SCI-COMP, volume = "28", number = "2", pages = "485--497", month = mar, year = "2006", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/050635961", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65M70 (65N35 65Y20)", MRnumber = "MR2231717 (2007c:65085)", MRreviewer = "Thomas H. Sonar", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/28/2; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://epubs.siam.org/volume-28/art_63596.html", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @InCollection{Morice:2006:FMM, author = "J. Morice and K. Mer-Nkonga and A. Bachelot", booktitle = "Numerical mathematics and advanced applications", title = "Fast multipole method for solving the radiosity equation", publisher = "Springer", address = "Berlin", pages = "609--617", year = "2006", DOI = "https://doi.org/10.1007/978-3-540-34288-5_58", MRclass = "65R20 (80A22)", MRnumber = "MR2303690", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Nitadori:2006:PTB, author = "K. Nitadori and J. Makino and P. Hut", title = "Performance tuning of {$N$}-body codes on modern microprocessors: {I}. {Direct} integration with a {Hermite} scheme on x86\_64 architecture", journal = j-NEW-ASTRON, volume = "12", number = "??", pages = "169--181", month = dec, year = "2006", CODEN = "NEASFS", ISSN = "1384-1076 (print), 1384-1092 (electronic)", ISSN-L = "1384-1076", bibdate = "Sat Nov 24 07:26:39 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "New Astronomy", journal-URL = "http://www.sciencedirect.com/science/journal/13841076", } @InCollection{Of:2006:BET, author = "G{\"u}nther Of and Olaf Steinbach and Wolfgang L. Wendland", booktitle = "Multifield problems in solid and fluid mechanics", title = "Boundary element tearing and interconnecting domain decomposition methods", volume = "28", publisher = "Springer", address = "Berlin", pages = "461--490", year = "2006", DOI = "https://doi.org/10.1007/978-3-540-34961-7_14", MRclass = "74S15 (74S30)", MRnumber = "MR2449391 (2009j:74118)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Appl. Comput. Mech.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Of:2006:FMM, author = "G. Of and O. Steinbach and W. L. Wendland", title = "The fast multipole method for the symmetric boundary integral formulation", journal = j-IMA-J-NUMER-ANAL, volume = "26", number = "2", pages = "272--296", month = apr, year = "2006", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/dri033", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65N38", MRnumber = "MR2218634 (2006k:65353)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://imanum.oxfordjournals.org/content/vol26/issue2/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://imanum.oxfordjournals.org/cgi/content/abstract/26/2/272; http://imanum.oxfordjournals.org/cgi/reprint/26/2/272", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", keywords = "fast multipole method", } @Article{Rossi:2006:EBS, author = "Louis F. Rossi", title = "Evaluation of the {Biot--Savart} integral for deformable elliptical {Gaussian} vortex elements", journal = j-SIAM-J-SCI-COMP, volume = "28", number = "4", pages = "1509--1532", year = "2006", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/050637789", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "76D05 (35Q30 41A30 65D30 76M23)", MRnumber = "MR2255468 (2007i:76024)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Rudberg:2006:EIF, author = "Elias Rudberg and Pawel Salek", title = "Efficient implementation of the fast multipole method", journal = j-J-CHEM-PHYS, volume = "125", number = "8", pages = "084106--084106", day = "28", month = aug, year = "2006", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.2244565", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", } @InProceedings{Sagui:2006:NDM, author = "Celeste Sagui and Christopher Roland and Lee G. Pedersen and Thomas A. Darden", title = "New Distributed Multipole Methods for Accurate Electrostatics in Large-Scale Biomolecular Simulations", crossref = "Leimkuhler:2006:NAM", volume = "49", pages = "297--312", year = "2006", DOI = "https://doi.org/10.1007/3-540-31618-3_16", bibdate = "Sat Dec 22 08:37:45 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncse.bib", URL = "http://link.springer.com/content/pdf/10.1007/3-540-31618-3_16", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/3-540-31618-3", book-URL = "http://www.springerlink.com/content/978-3-540-31618-3", } @Article{Schwab:2006:KLA, author = "Christoph Schwab and Radu Alexandru Todor", title = "{Karhunen--Lo{\`e}ve} approximation of random fields by generalized fast multipole methods", journal = j-J-COMPUT-PHYS, volume = "217", number = "1", pages = "100--122", day = "1", month = sep, year = "2006", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2006.01.048", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65C50 (60G60)", MRnumber = "MR2250527 (2007d:65011)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999106000349", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Sharp:2006:BSP, author = "Philip W. Sharp", title = "{$N$}-body simulations: {The} performance of some integrators", journal = j-TOMS, volume = "32", number = "3", pages = "375--395", month = sep, year = "2006", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1163641.1163642", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Wed Sep 27 05:51:43 MDT 2006", bibsource = "http://www.acm.org/pubs/contents/journals/toms/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "We describe four challenging $N$-body test problems involving the Sun and planets and use them to compare the performance of nine nonsymplectic and two symplectic integrators. Each problem has a long interval of integration and two have non-Newtonian gravitational interactions. The emphasis in our comparison is on the accuracy of the solution, including the phase information produced by nonsympletic methods; the symplectic methods have been included to provide a contrast. Long intervals of integration necessitate small local error tolerances for the nonsymplectic integrators. Among variable-stepsize integrators, RKNINT requires the least CPU time on the two problems with Newtonian interactions and DIVA the least CPU time on the other two problems for the intervals of integration we used. We find that the error growth on some integrations is noticeably slower than predicted by asymptotic analysis of the truncation and round-off error. Our comparisons suggest that the numerical solutions near the end of a billion year simulation in double precision with variable-stepsize nonsymplectic methods would have poor accuracy.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://dl.acm.org/pub.cfm?id=J782", } @Article{Tang:2006:HOP, author = "Chen Tang and Wenping Wang and Haiqing Yan and Zhanqing Chen", title = "High-order predictor-corrector of exponential fitting for the {$N$}-body problems", journal = j-J-COMPUT-PHYS, volume = "214", number = "2", pages = "505--520", day = "20", month = may, year = "2006", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2005.09.028", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:13:20 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999105004560", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Wallen:2006:BMF, author = "Henrik Wall{\'e}n and Seppo J{\"a}rvenp{\"a}{\"a} and Pasi Yl{\"a}-Oijala", title = "Broadband multilevel fast multipole algorithm for acoustic scattering problems", journal = j-COMPUT-ACOUSTICS, volume = "14", number = "4", pages = "507--526", year = "2006", DOI = "https://doi.org/10.1142/S0218396X06003153", ISSN = "0218-396X", MRclass = "76Q05 (76M15)", MRnumber = "MR2303114 (2007m:76124)", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Acoustics. An IMACS Journal", } @Article{Ying:2006:KIF, author = "Lexing Ying", title = "A kernel independent fast multipole algorithm for radial basis functions", journal = j-J-COMPUT-PHYS, volume = "213", number = "2", pages = "451--457", day = "10", month = apr, year = "2006", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2005.09.010", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:13:18 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999105004298", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Beatson:2007:FEP, author = "R. K. Beatson and M. J. D. Powell and A. M. Tan", title = "Fast evaluation of polyharmonic splines in three dimensions", journal = j-IMA-J-NUMER-ANAL, volume = "27", number = "3", pages = "427--450", year = "2007", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drl027", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D07", MRnumber = "MR2337575 (2009c:65029)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", keywords = "fast multipole method", } @InCollection{Bonnet:2007:FBT, author = "Marc Bonnet and Nicolas Nemitz", booktitle = "Boundary element analysis", title = "{FM-BEM} and topological derivative applied to acoustic inverse scattering", volume = "29", publisher = "Springer", address = "Berlin", pages = "187--212", year = "2007", DOI = "https://doi.org/10.1007/978-3-540-47533-0_8", MRclass = "65N30 (65N38 76M10 76M15 76Q05)", MRnumber = "MR2307197 (2007m:65106)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Appl. Comput. Mech.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Bowers:2007:ZMP, author = "Kevin J. Bowers and Ron O. Dror and David E. Shaw", title = "Zonal methods for the parallel execution of range-limited {$N$}-body simulations", journal = j-J-COMPUT-PHYS, volume = "221", number = "1", pages = "303--329", day = "20", month = jan, year = "2007", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2006.06.014", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:13:28 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999106002919", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Cai:2007:EFM, author = "Wei Cai and Shaozhong Deng and Donald Jacobs", title = "Extending the fast multipole method to charges inside or outside a dielectric sphere", journal = j-J-COMPUT-PHYS, volume = "223", number = "2", pages = "846--864", year = "2007", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2006.10.019", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78A30 (65N38)", MRnumber = "MR2319236 (2008c:78012)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Carpentieri:2007:PAP, author = "B. Carpentieri", title = "Performance analysis of parallel {Krylov} methods for solving boundary integral equations in electromagnetism", journal = j-COMM-NUMER-METHODS-ENGRG, volume = "23", number = "7", pages = "691--701", year = "2007", CODEN = "CANMER", DOI = "https://doi.org/10.1002/cnm.920", ISSN = "1069-8299 (print), 1099-0887 (electronic)", ISSN-L = "1069-8299", MRclass = "65F10 (78M25)", MRnumber = "MR2337393 (2008f:65058)", MRreviewer = "Jan Z{\'\i}tko", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-0887", keywords = "fast multipole method", } @Article{Darrigrand:2007:CUW, author = "E. Darrigrand and P. Monk", title = "Coupling of the ultra-weak variational formulation and an integral representation using a fast multipole method in electromagnetism", journal = j-J-COMPUT-APPL-MATH, volume = "204", number = "2", pages = "400--407", day = "15", month = jul, year = "2007", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2006.03.030", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "78A25 (78A45)", MRnumber = "MR2324467 (2008f:78004)", MRreviewer = "D. Stanomir", bibdate = "Sat Feb 25 13:13:16 MST 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042706003670", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "fast multipole method", } @Article{Deng:2007:EFM, author = "Shaozhong Deng and Wei Cai", title = "Extending the fast multipole method for charges inside a dielectric sphere in an ionic solvent: high-order image approximations for reaction fields", journal = j-J-COMPUT-PHYS, volume = "227", number = "2", pages = "1246--1266", year = "2007", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2007.09.001", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N99 (78M25 92C40)", MRnumber = "MR2442394 (2009g:65180)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Book{Griebel:2007:NSM, author = "Michael Griebel and Stephan Knapek and Gerhard Zumbusch", title = "Numerical simulation in molecular dynamics", volume = "5", publisher = "Springer", address = "Berlin", pages = "xii + 470", year = "2007", ISBN = "3-540-68094-2", ISBN-13 = "978-3-540-68094-9", MRclass = "82C80 (37M05 65M99 68W10 70-08 70F10 82-02 92C40)", MRnumber = "MR2341653 (2008e:82076)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Numerics, algorithms, parallelization, applications", series = "Texts in Computational Science and Engineering", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Gumerov:2007:FRB, author = "Nail A. Gumerov and Ramani Duraiswami", title = "Fast radial basis function interpolation via preconditioned {Krylov} iteration", journal = j-SIAM-J-SCI-COMP, volume = "29", number = "5", pages = "1876--1899", year = "2007", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/060662083", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65D07 (41A05 41A15 41A58 41A63)", MRnumber = "MR2350011 (2008j:65013)", MRreviewer = "G{\"u}nther N{\"u}rnberger", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{Gumerov:2007:SPF, author = "Nail A. Gumerov and Ramani Duraiswami", title = "A scalar potential formulation and translation theory for the time-harmonic {Maxwell} equations", journal = j-J-COMPUT-PHYS, volume = "225", number = "1", pages = "206--236", year = "2007", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2006.11.025", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78A25", MRnumber = "MR2346677 (2008g:78008)", MRreviewer = "Ioannis G. Stratis", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Langer:2007:IDS, author = "U. Langer and G. Of and O. Steinbach and W. Zulehner", title = "Inexact data-sparse boundary element tearing and interconnecting methods", journal = j-SIAM-J-SCI-COMP, volume = "29", number = "1", pages = "290--314", year = "2007", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/050636243", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N38 (65F10)", MRnumber = "MR2285892 (2007k:65201)", MRreviewer = "Nilima Nigam", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @InCollection{Langer:2007:IFM, author = "Ulrich Langer and G{\"u}nther Of and Olaf Steinbach and Walter Zulehner", booktitle = "Domain decomposition methods in science and engineering {XVI}", title = "Inexact fast multipole boundary element tearing and interconnecting methods", volume = "55", publisher = "Springer", address = "Berlin", pages = "405--412", year = "2007", DOI = "https://doi.org/10.1007/978-3-540-34469-8_50", MRclass = "65N38 (65N55)", MRnumber = "MR2334129 (2008e:65383)", MRreviewer = "Javier de Frutos", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Comput. Sci. Eng.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Lu:2007:AFM, author = "Wei Bing Lu and Tie Jun Cui and Hui Zhao", title = "Acceleration of fast multipole method for large-scale periodic structures with finite sizes using sub-entire-domain basis functions", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "55", number = "2", pages = "414--421", year = "2007", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2006.889805", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M05", MRnumber = "MR2321143", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @Article{Lu:2007:NVF, author = "Benzhuo Lu and Xiaolin Cheng and J. Andrew McCammon", title = "{``New-version-fast-multipole-method''} accelerated electrostatic calculations in biomolecular systems", journal = j-J-COMPUT-PHYS, volume = "226", number = "2", pages = "1348--1366", year = "2007", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2007.05.026", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "92C40 (65R20 82C80)", MRnumber = "MR2356376", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @InProceedings{Makino:2007:GDP, author = "Junichiro Makino and Kei Hiraki and Mary Inaba", editor = "Becky Verastegui", booktitle = "{SC '07: Proceedings of the 2007 ACM\slash IEEE conference on Supercomputing}", title = "{GRAPE-DR}: {2-Pflops} massively-parallel computer with 512-core, {512-Gflops} processor chips for scientific computing", publisher = pub-ACM # " and " # pub-IEEE, address = pub-ACM:adr # " and " # pub-IEEE:adr, pages = "1--11", year = "2007", DOI = "https://doi.org/10.1145/1362622.1362647", ISBN = "1-59593-764-1", ISBN-13 = "978-1-59593-764-3", bibdate = "Sat Nov 24 08:20:41 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "arnumber=5348841; http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&", acknowledgement = ack-nhfb, book-URL = "http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=5348789", } @Article{Malas:2007:IPM, author = "Tah{\^\i}r Malas and Levent G{\"u}rel", title = "Incomplete {$ L U $} preconditioning with the multilevel fast multipole algorithm for electromagnetic scattering", journal = j-SIAM-J-SCI-COMP, volume = "29", number = "4", pages = "1476--1494", year = "2007", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/060659107", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F10 (78A25 78A45)", MRnumber = "MR2341797 (2008j:65047)", MRreviewer = "Maxim Larin", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Martinsson:2007:AKI, author = "P. G. Martinsson and V. Rokhlin", title = "An accelerated kernel-independent fast multipole method in one dimension", journal = j-SIAM-J-SCI-COMP, volume = "29", number = "3", pages = "1160--1178", year = "2007", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/060662253", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F30 (65R20)", MRnumber = "MR2318701 (2008f:65084)", MRreviewer = "Francisco-Javier Sayas", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", keywords = "fast multipole method", } @Article{McCorquodale:2007:LCA, author = "Peter McCorquodale and Phillip Colella and Gregory T. Balls and Scott B. Baden", title = "A local corrections algorithm for solving {Poisson}'s equation in three dimensions", journal = j-COMMUN-APPL-MATH-COMPUT-SCI, volume = "2", pages = "57--81", year = "2007", ISSN = "1559-3940 (print), 2157-5452 (electronic)", ISSN-L = "2157-5452", MRclass = "65N55 (65Y05)", MRnumber = "MR2327083 (2008i:65291)", MRreviewer = "Enrico Bertolazzi", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Applied Mathematics and Computational Science", keywords = "fast multipole method", } @InCollection{Of:2007:FMM, author = "G{\"u}nther Of", booktitle = "Boundary element analysis", title = "Fast multipole methods and applications", volume = "29", publisher = "Springer", address = "Berlin", pages = "135--160", year = "2007", DOI = "https://doi.org/10.1007/978-3-540-47533-0_6", MRclass = "65N30 (74G15)", MRnumber = "MR2298802 (2008d:65137)", MRreviewer = "Steve Wright", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Appl. Comput. Mech.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Ormseth:2007:IFM, author = "Reid G. Ormseth and R. Pachter", title = "Implementation of the fast multipole method in molecular dynamics", journal = j-ABSTR-PAP-AM-CHEM-SOC, volume = "233", number = "??", pages = "209--209", month = "????", year = "2007", CODEN = "ACSRAL", ISSN = "0065-7727", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, classification = "Chicago, IL, USA", conference-date = "March 25 -29, 2007", conference-name = "233rd National Meeting of the American-Chemical-Society", fjournal = "Abstracts of Papers of the American Chemical Society", journal-URL = "http://www.acs.org/content/acs/en/meetings/nationalmeetings/programarchive.html", sponsor = "Amer Chem Soc", } @Article{Rui:2007:STS, author = "Ping-Liang Rui and Ru-Shan Chen and Dao-Xiang Wang and Edward Kai-Ning Yung", title = "Spectral two-step preconditioning of multilevel fast multipole algorithm for the fast monostatic {RCS} calculation", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "55", number = "8", pages = "2268--2275", year = "2007", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2007.901853", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M25", MRnumber = "MR2344700", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", } @Book{Schanz:2007:BEA, editor = "Martin Schanz and Olaf Steinbach", title = "Boundary element analysis", volume = "29", publisher = "Springer", address = "Berlin", pages = "x + 354", year = "2007", DOI = "https://doi.org/10.1007/978-3-540-47533-0", ISBN = "3-540-47465-X", ISBN-13 = "978-3-540-47465-4", MRclass = "65-06", MRnumber = "MR2307201 (2007k:65004)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Mathematical aspects and applications", series = "Lecture Notes in Applied and Computational Mechanics", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Shanker:2007:ACE, author = "B. Shanker and H. Huang", title = "Accelerated {Cartesian} expansions---a fast method for computing of potentials of the form {$ R^{- \nu } $} for all real {$ \nu $}", journal = j-J-COMPUT-PHYS, volume = "226", number = "1", pages = "732--753", year = "2007", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2007.04.033", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65Y20 (82C80 85A30)", MRnumber = "MR2356856 (2009a:65392)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Wang:2007:FMB, author = "P. B. Wang and Z. H. Yao", title = "Fast multipole boundary element analysis of two-dimensional elastoplastic problems", journal = j-COMM-NUMER-METHODS-ENGRG, volume = "23", number = "10", pages = "889--903", year = "2007", CODEN = "CANMER", DOI = "https://doi.org/10.1002/cnm.930", ISSN = "1069-8299 (print), 1099-0887 (electronic)", ISSN-L = "1069-8299", MRclass = "74S15 (65N38 74B20)", MRnumber = "MR2357178 (2008h:74092)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-0887", keywords = "fast multipole method", } @Article{Wang:2007:LSA, author = "Haitao Wang and Zhenhan Yao", title = "Large scale analysis of mechanical properties in 3-{D} fiber-reinforced composites using a new fast multipole boundary element method", journal = "Tsinghua Sci. Technol.", volume = "12", number = "5", pages = "554--561", year = "2007", CODEN = "TSTEF7", DOI = "https://doi.org/10.1016/S1007-0214(07)70132-3", ISSN = "1007-0214", MRclass = "74S15", MRnumber = "MR2412193", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Tsinghua Science and Technology", } @Article{Wang:2007:PFM, author = "Haitao Wang and Ting Lei and Jin Li and Jingfang Huang and Zhenhan Yao", title = "A parallel fast multipole accelerated integral equation scheme for {$3$D} {Stokes} equations", journal = j-INT-J-NUMER-METHODS-ENG, volume = "70", number = "7", pages = "812--839", year = "2007", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.1910", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "76M25 (65N99 76D07)", MRnumber = "MR2317380 (2008a:76120)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", keywords = "fast multipole method", } @Article{Zhang:2007:ASD, author = "J. M. Zhang and Masa. Tanaka", title = "Adaptive spatial decomposition in fast multipole method", journal = j-J-COMPUT-PHYS, volume = "226", number = "1", pages = "17--28", day = "10", month = sep, year = "2007", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2007.03.032", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:13:42 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999107001404", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Zhao:2007:VFM, author = "Zhiqin Zhao and Narayan Kovvali and Wenbin Lin and Chang-Hoi Ahn and Luise Couchman and Lawrence Carin", title = "Volumetric fast multipole method for modeling {Schr{\"o}dinger}'s equation", journal = j-J-COMPUT-PHYS, volume = "224", number = "2", pages = "941--955", year = "2007", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2006.11.003", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65R20 (81Q05)", MRnumber = "MR2330300 (2008g:65187)", MRreviewer = "Gheorghe E. I. Dr{\u{a}}g{\u{a}}nescu", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @InCollection{Andjelic:2008:BON, author = "Zoran Andjeli{\'c}", booktitle = "Domain decomposition methods in science and engineering {XVII}", title = "{BEM}: {Opening} the new frontiers in the industrial products design", volume = "60", publisher = "Springer", address = "Berlin", pages = "3--20", year = "2008", DOI = "https://doi.org/10.1007/978-3-540-75199-1_1", MRclass = "65N38", MRnumber = "MR2427856 (2009j:65344)", MRreviewer = "Snorre H. Christiansen", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Comput. Sci. Eng.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Beylkin:2008:FAA, author = "Gregory Beylkin and Vani Cheruvu and Fernando P{\'e}rez", title = "Fast adaptive algorithms in the non-standard form for multidimensional problems", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "24", number = "3", pages = "354--377", year = "2008", DOI = "https://doi.org/10.1016/j.acha.2007.08.001", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "45P05 (65T60)", MRnumber = "MR2406876 (2009c:45033)", MRreviewer = "Francesca Pitolli", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", keywords = "fast multipole method", } @Article{Chau:2008:AFM, author = "Nguyen Hai Chau and Atsushi Kawai and Toshikazu Ebisuzaki", title = "Acceleration of {Fast Multipole Method} Using Special-Purpose Computer {GRAPE}", journal = j-IJHPCA, volume = "22", number = "2", pages = "194--205", month = may, year = "2008", CODEN = "IHPCFL", DOI = "https://doi.org/10.1177/1094342008090912", ISSN = "1094-3420 (print), 1741-2846 (electronic)", ISSN-L = "1094-3420", bibdate = "Tue Aug 31 09:59:45 MDT 2010", bibsource = "http://hpc.sagepub.com/content/22/2.toc; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://hpc.sagepub.com/content/22/2/194.full.pdf+html", abstract = "We have implemented the fast multipole method (FMM) on a special-purpose computer GRAPE (GRAvity piPE). The FMM is one of the fastest approximate algorithms to calculate forces among particles. Its calculation cost scales as $ O(N) $, while the naive algorithm scales as $ O(N^2) $. Here, $N$ is the number of particles in the system. GRAPE is hardware dedicated to the calculation of Coulombic or gravitational forces among particles. GRAPE's calculation speed is 100--1000 times faster than that of conventional computers of the same price, though it cannot handle anything but force calculation. We can expect significant speedup by the combination of the fast algorithm and the fast hardware. However, a straightforward implementation of the algorithm actually runs on GRAPE at rather modest speed. This is because of the limited functionality of the hardware. Since GRAPE can handle particle forces only, just a small fraction of the overall calculation procedure can be put on it. The remaining part must be performed on a conventional computer connected to GRAPE. In order to take full advantage of the dedicated hardware, we modified the FMM using the pseudoparticle multipole method and Anderson's method. In the modified algorithm, multipole and local expansions are expressed by distribution of a small number of imaginary particles (pseudoparticles), and thus they can be evaluated by GRAPE. Results of numerical experiments on ordinary GRAPE systems show that, for large-N systems (N ≥ 105), GRAPE accelerates the FMM by a factor ranging from 3 for low accuracy (RMS relative force error $ \approx 10^{-2} $ ) to 60 for high accuracy (RMS relative force error $ \approx 10^{-5} $ ). Performance of the FMM on GRAPE exceeds that of Barnes--Hut treecode on GRAPE at high accuracy, in case of close-to-uniform distribution of particles. However, in the same experimental environment the treecode outperforms the FMM for inhomogeneous distribution of particles.", acknowledgement = ack-nhfb, journal-URL = "http://hpc.sagepub.com/content/by/year", } @Article{Chen:2008:FFM, author = "Z.-S. Chen and H. Waubke and W. Kreuzer", title = "A formulation of the fast multipole boundary element method ({FMBEM}) for acoustic radiation and scattering from three-dimensional structures", journal = j-COMPUT-ACOUSTICS, volume = "16", number = "2", pages = "303--320", year = "2008", DOI = "https://doi.org/10.1142/S0218396X08003725", ISSN = "0218-396X", MRclass = "76Q05 (65N38)", MRnumber = "MR2524208", bibdate = "Fri May 21 09:18:40 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Acoustics. An IMACS Journal", } @Article{Cocle:2008:CVC, author = "Roger Cocle and Gr{\'e}goire Winckelmans and Go{\'e}ric Daeninck", title = "Combining the vortex-in-cell and parallel fast multipole methods for efficient domain decomposition simulations", journal = j-J-COMPUT-PHYS, volume = "227", number = "21", pages = "9091--9120", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2007.10.010", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M23 (65N99 65Y05 76M25)", MRnumber = "MR2463200 (2009j:76172)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Coulaud:2008:HPB, author = "O. Coulaud and P. Fortin and J. Roman", title = "High performance {BLAS} formulation of the multipole-to-local operator in the fast multipole method", journal = j-J-COMPUT-PHYS, volume = "227", number = "3", pages = "1836--1862", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2007.09.027", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65Y20 (65R10 70F10)", MRnumber = "MR2450975 (2010a:65290)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Ergul:2008:EPM, author = "{\"O}zg{\"u}r Erg{\"u}l and Levent G{\"u}rel", title = "Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "56", number = "8, part 1", pages = "2335--2345", year = "2008", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2008.926757", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78A45", MRnumber = "MR2444893", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", } @Article{Fitch:2008:BMS, author = "B. G. Fitch and A. Rayshubskiy and M. Eleftheriou and T. J. C. Ward and M. E. Giampapa and M. C. Pitman and J. W. Pitera and W. C. Swope and R. S. Germain", title = "{Blue Matter}: Scaling of {$N$}-body simulations to one atom per node", journal = j-IBM-JRD, volume = "52", number = "1/2", pages = "145--??", month = jan # "\slash " # mar, year = "2008", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Mon Jul 7 21:49:07 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.research.ibm.com/journal/", URL = "http://www.research.ibm.com/journal/rd/521/fitch.html", acknowledgement = ack-nhfb, fjournal = "IBM Journal of Research and Development", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520", keywords = "fast multipole", } @Article{Ganesh:2008:HOT, author = "M. Ganesh and S. C. Hawkins", title = "A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces", journal = j-J-COMPUT-PHYS, volume = "227", number = "9", pages = "4543--4562", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2008.01.016", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78A45 (65N35 65R20)", MRnumber = "MR2406549 (2009a:78008)", MRreviewer = "Andr{\'e}s Prieto", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Garcia:2008:ISE, author = "Eliseo Garc{\'\i}a and Carlos Delgado and Iv{\'a}n Gonz{\'a}lez Diego and Manuel Felipe C{\'a}tedra", title = "An iterative solution for electrically large problems combining the characteristic basis function method and the multilevel fast multipole algorithm", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "56", number = "8, part 1", pages = "2363--2371", year = "2008", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2008.926781", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M05", MRnumber = "MR2444896", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", } @Book{Gibson:2008:MME, author = "Walton C. Gibson", title = "The method of moments in electromagnetics", publisher = "Chapman \& Hall/CRC, Boca Raton, FL", pages = "xvi + 272", year = "2008", ISBN = "1-4200-6145-3", ISBN-13 = "978-1-4200-6145-1", MRclass = "78-02 (78-01 78M05)", MRnumber = "MR2503144 (2010c:78001)", MRreviewer = "Philip Huddleston", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Giese:2008:EAT, author = "Timothy J. Giese and Darrin M. York", title = "Extension of adaptive tree code and fast multipole methods to high angular momentum particle charge densities", journal = j-J-COMPUT-CHEM, volume = "29", number = "12", pages = "1895--1904", month = sep, year = "2008", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.20946", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", onlinedate = "23 Apr 2008", } @InCollection{Grytsenko:2008:ACA, author = "T. Grytsenko and A. Peratta", booktitle = "Boundary elements and other mesh reduction methods {XXX}", title = "Adaptive cross approximation based solver for boundary element method with single domain in {$3$D}", volume = "47", publisher = "WIT Press, Southampton", pages = "209--218", year = "2008", DOI = "https://doi.org/10.2495/BEO080211", MRclass = "65N38 (78A30 78M15)", MRnumber = "MR2458694 (2010a:65256)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "WIT Trans. Model. Simul.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Gumerov:2008:FMM, author = "Nail A. Gumerov and Ramani Duraiswami", title = "Fast multipole methods on graphics processors", journal = j-J-COMPUT-PHYS, volume = "227", number = "18", pages = "8290--8313", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2008.05.023", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65R10 (65Y10)", MRnumber = "MR2446491 (2009j:65368)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Hanninen:2008:EER, author = "Ilari H{\"a}nninen and Jukka Sarvas", title = "Efficient evaluation of the {Rokhlin} translator in multilevel fast multipole algorithm", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "56", number = "8, part 1", pages = "2356--2362", year = "2008", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2008.926791", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M05", MRnumber = "MR2444895", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", } @Article{He:2008:DVT, author = "B. He and W. C. Chew", title = "Diagonalizations of vector and tensor addition theorems", journal = j-COMMUN-COMPUT-PHYS, volume = "4", number = "4", pages = "797--819", year = "2008", ISSN = "1815-2406 (print), 1991-7120 (electronic)", ISSN-L = "1815-2406", MRclass = "43A90 (42B10 65R20 78A25)", MRnumber = "MR2463190 (2009j:43010)", MRreviewer = "Jeffrey S. Ovall", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Computational Physics", journal-URL = "http://www.global-sci.com/", keywords = "fast multipole method", } @Article{He:2008:FES, author = "Xuefei He and Kian Meng Lim and Siak Piang Lim", title = "A fast elastostatic solver based on fast {Fourier} transform on multipoles ({FFTM})", journal = j-INT-J-NUMER-METHODS-ENG, volume = "76", number = "8", pages = "1231--1249", year = "2008", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.2365", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "74B05 (65R10 65T50)", MRnumber = "MR2466777 (2009j:74012)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", keywords = "fast multipole method", } @Article{Jeon:2008:PTC, author = "Byoungseon Jeon and Joel D. Kress and Lee A. Collins and Niels Gr{\o}nbech-Jensen", title = "Parallel {TREE} code for two-component ultracold plasma analysis", journal = j-COMP-PHYS-COMM, volume = "178", number = "4", pages = "272--279", day = "15", month = feb, year = "2008", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2007.09.003", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 23:42:28 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465507004171", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Jia:2008:KDC, author = "Jun Jia and Jingfang Huang", title = "{Krylov} deferred correction accelerated method of lines transpose for parabolic problems", journal = j-J-COMPUT-PHYS, volume = "227", number = "3", pages = "1739--1753", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2007.09.018", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65M20 (65M12)", MRnumber = "MR2450970 (2009k:65175)", MRreviewer = "Raymond J. Spiteri", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Kurzak:2008:MPI, author = "Jakub Kurzak and B. Montgomery Pettitt", title = "Message-passing implementation of the data diffusion communication model in fast multipole methods: large scale biomolecular simulations", journal = j-J-ALGORITHMS-COMPUT-TECHNOL, volume = "2", number = "4", pages = "557--579", year = "2008", DOI = "https://doi.org/10.1260/174830108786231722", ISSN = "1748-3018 (print), 1748-3026 (electronic)", ISSN-L = "1748-3018", MRclass = "92C40 (65R10 92-04 92-08)", MRnumber = "MR2473677", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Algorithms \& Computational Technology", keywords = "fast multipole method", } @Article{Lim:2008:FFT, author = "Kian Meng Lim and Xuefei He and Siak Piang Lim", title = "Fast {Fourier} transform on multipoles ({FFTM}) algorithm for {Laplace} equation with direct and indirect boundary element method", journal = j-COMPUT-MECH, volume = "41", number = "2", pages = "313--323", year = "2008", CODEN = "CMMEEE", DOI = "https://doi.org/10.1007/s00466-007-0187-5", ISSN = "0178-7675 (print), 1432-0924 (electronic)", ISSN-L = "0178-7675", MRclass = "65N99", MRnumber = "MR2377807 (2009a:65371)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computational Mechanics. Solids, Fluids, Engineered Materials, Aging Infrastructure, Molecular Dynamics, Heat Transfer, Manufacturing Processes, Optimization, Fracture \& Integrity", keywords = "fast multipole method", } @Article{Liu:2008:FMB, author = "Y. J. Liu", title = "A fast multipole boundary element method for {$2$D} multi-domain elastostatic problems based on a dual {BIE} formulation", journal = j-COMPUT-MECH, volume = "42", number = "5", pages = "761--773", year = "2008", CODEN = "CMMEEE", DOI = "https://doi.org/10.1007/s00466-008-0274-2", ISSN = "0178-7675 (print), 1432-0924 (electronic)", ISSN-L = "0178-7675", MRclass = "65N38", MRnumber = "MR2425467 (2009f:65280)", MRreviewer = "Jeffrey S. Ovall", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", ZMnumber = "1163.74559", abstract = "A new fast multipole formulation for the hypersingular BIE (HBIE) for 2D elasticity is presented in this paper based on a complex-variable representation of the kernels, similar to the formulation developed earlier for the conventional BIE (CBIE). A dual BIE formulation using a linear combination of the developed CBIE and HBIE is applied to analyze multi-domain problems with thin inclusions or open cracks. Two pre-conditioners for the fast multipole boundary element method (BEM) are devised and their effectiveness and efficiencies in solving large-scale problems are discussed. Several numerical examples are presented to study the accuracy and efficiency of the developed fast multipole BEM using the dual BIE formulation. The numerical results clearly demonstrate the potentials of the fast multipole BEM for solving large-scale 2D multi-domain elasticity problems. The method can be applied to study composite materials, functionally-graded materials, and micro-electro-mechanical-systems with coupled fields, all of which often involve thin shapes or thin inclusions.", acknowledgement = ack-nhfb, classmath = "74S15 (Boundary element methods); 74B05 (Classical linear elasticity); 74E05 (Inhomogeneity)", fjournal = "Computational Mechanics. Solids, Fluids, Engineered Materials, Aging Infrastructure, Molecular Dynamics, Heat Transfer, Manufacturing Processes, Optimization, Fracture \& Integrity", keywords = "2D elasticity; boundary element method; fast multipole method; multiple domains", } @Article{Miller:2008:IBP, author = "G. H. Miller", title = "An iterative boundary potential method for the infinite domain {Poisson} problem with interior {Dirichlet} boundaries", journal = j-J-COMPUT-PHYS, volume = "227", number = "16", pages = "7917--7928", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2008.05.005", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N99", MRnumber = "MR2437594 (2009g:65181)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Of:2008:EAM, author = "G. Of", title = "An efficient algebraic multigrid preconditioner for a fast multipole boundary element method", journal = j-COMPUTING, volume = "82", number = "2-3", pages = "139--155", year = "2008", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/s00607-008-0002-y", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65N38 (65F10 65N55)", MRnumber = "MR2421581 (2009d:65189)", MRreviewer = "Fabio Di Benedetto", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computing. Archives for Scientific Computing", journal-URL = "http://link.springer.com/journal/607", keywords = "fast multipole method", } @Article{Olyslager:2008:FMM, author = "Femke Olyslager and Lieven Meert and Kristof Cools", title = "The fast multipole method in electromagnetics applied to the simulation of metamaterials", journal = j-J-COMPUT-APPL-MATH, volume = "215", number = "2", pages = "528--537", day = "1", month = jun, year = "2008", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2006.04.071", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "78M05", MRnumber = "MR2406654", bibdate = "Sat Feb 25 13:13:23 MST 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0377042706007643", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "fast multipole method", } @Article{Ooi:2008:HFM, author = "B. L. Ooi and Y. J. Fan and Hristo D. Hristov and Rodolfo Feick and Xuechuan Shan and Albert Lu", title = "A hybrid fast multipole pseudo-spectral time domain method", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "56", number = "5", pages = "1394--1401", year = "2008", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2008.922686", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M05", MRnumber = "MR2419428", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", } @Article{Otani:2008:FPB, author = "Yoshihiro Otani and Naoshi Nishimura", title = "An {FMM} for periodic boundary value problems for cracks for {Helmholtz}' equation in {$2$D}", journal = j-INT-J-NUMER-METHODS-ENG, volume = "73", number = "3", pages = "381--406", year = "2008", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.2077", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "65N38 (74J20 76Q05)", MRnumber = "MR2382050 (2008k:65263)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", keywords = "fast multipole method", } @Article{Otani:2008:PFM, author = "Yoshihiro Otani and Naoshi Nishimura", title = "A periodic {FMM} for {Maxwell}'s equations in {$3$D} and its applications to problems related to photonic crystals", journal = j-J-COMPUT-PHYS, volume = "227", number = "9", pages = "4630--4652", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2008.01.029", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "78A25 (65R20 78M05)", MRnumber = "MR2406552 (2009j:78010)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Rodriguez:2008:USV, author = "Jos{\'e} Luis Rodriguez and Jose Manuel Taboada and Marta G. Ara{\'u}jo and Fernando Obelleiro Basteiro and Luis Landesa and In{\'e}s Garc{\'\i}a-Tu{\~n}{\'o}n", title = "On the use of the singular value decomposition in the fast multipole method", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "56", number = "8, part 1", pages = "2325--2334", year = "2008", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2008.926761", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M05 (65F15 78M25)", MRnumber = "MR2444892", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", keywords = "fast multipole method", } @Article{Tong:2008:MFM, author = "Mei Song Tong and Weng Cho Chew and Michael J. White", title = "Multilevel fast multipole algorithm for acoustic wave scattering by truncated ground with trenches", journal = j-J-ACOUST-SOC-AM, volume = "123", number = "5", pages = "2513--2521", month = may, year = "2008", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.2897048", ISSN = "1520-8524", ISSN-L = "0001-4966", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", report-number = "Chew, Weng Cho/C-1792-2009; White, Michael/B-3612-2009", } @Article{Tornberg:2008:FMM, author = "Anna-Karin Tornberg and Leslie Greengard", title = "A fast multipole method for the three-dimensional {Stokes} equations", journal = j-J-COMPUT-PHYS, volume = "227", number = "3", pages = "1613--1619", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2007.06.029", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M25 (65N99 74S30)", MRnumber = "MR2450963 (2009g:76110)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{VandeWiele:2008:AFM, author = "B. {Van de Wiele} and F. Olyslager and L. Dupr{\'e}", title = "Application of the fast multipole method for the evaluation of magneto-static fields in micromagnetic computations", journal = j-J-COMPUT-PHYS, volume = "227", number = "23", pages = "9913--9932", year = "2008", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2008.08.003", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65R10 (78M05 82D40)", MRnumber = "MR2469041 (2009j:65369)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Wang:2008:FME, author = "Wei Wei Wang and Yong Chun Xu and Fen Tao Qin and Jiao Li", title = "Fast multipole expansion of a {$2$D} potential problem", journal = "Math. Pract. Theory", volume = "38", number = "24", pages = "225--228", year = "2008", ISSN = "1000-0984", MRclass = "65N38", MRnumber = "MR2523197", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian yu Renshi", } @Article{Wang:2008:FSM, author = "Wu Wang and Yang De Feng and Xue Bin Chi", title = "A fast solution method for an electric field integral equation", journal = j-J-NUMER-METHODS-COMPUT-APPL, volume = "29", number = "1", pages = "15--24", year = "2008", ISSN = "1000-3266", MRclass = "65R20 (45A05)", MRnumber = "MR2432018 (2009g:65190)", MRreviewer = "Jeng-Tzong Chen", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal on Numerical Methods and Computer Applications", keywords = "fast multipole method", } @Article{Xu:2008:FMB, author = "Jundong Xu and Pengbo Wang and Zhenhan Yao and Yintao Wei and Weiqi Yin", title = "Fast multipole {BEM} for analyses of large-scale fracture problems", journal = "J. Tsinghua Univ., Sci. Technol.", volume = "48", number = "5", pages = "896--899", year = "2008", bibdate = "Fri May 21 08:54:25 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", ZMnumber = "1177.74377", abstract = "The fast multipole method (FMM) is used with the boundary element method (BEM) to predict fractures in large castings. The algebraic equation from the dual boundary integral equations (DBIE) is solved using the generalized minimum residual method (GMRES). A quad-tree data structure is constructed to execute the FMM with the matrix-vector product obtained using recursive operations on the tree structure without explicitly forming the coefficient matrix. Both the computational complexity and the memory requirements are reduced to $ O (N) $, where $N$ is the number of degrees of freedom (DOFs). An improved preconditioner for the GMRES is also developed to increase the run-time speed and memory storage efficiency. Numerical experiments show that the preconditioner significantly increases the computational scale and computing efficiency with up to 3 000 000 DOFs used in numerical examples.", acknowledgement = ack-nhfb, classmath = "74S15 (Boundary element methods); 74R99 (Fracture and damage)", keywords = "boundary element; crack; dual boundary integral equations; fast multipole method", language = "Chinese", remark = "English summary", } @Article{Xu:2008:FMV, author = "Qiang Xu and Yantao Jiang and Dong Mi", title = "Fast multipole virtual boundary element method for solving two-dimensional problems", journal = "J. Harbin Eng. Univ.", volume = "29", number = "6", pages = "550--556", year = "2008", bibdate = "Fri May 21 08:55:41 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", ZMnumber = "1174.74347", abstract = "The generalized minimal residual (GMRES) algorithm and the fast multipole method (FMM) are jointly used to evaluate the numeric solutions of equations related to virtual boundary element method (VBEM). The idea of fast multipole virtual boundary element method for solving two-dimensional problems is presented in the context of 2D elasticity mechanics. The main idea of the method is to expand the fundamental solutions in the 2D complex plane to suit the requirements of the FMM scheme, i.e., a change of computational structure (or mode), so that the computational time and memory volume for solving the equations is directly proportional to the degrees of freedom of the problem to be solved. It is shown that the proposed method has greater capacity to simulate problems with much bigger degrees of freedom. Numerical examples prove the feasibility, accuracy and efficiency of this method. Moreover, the idea of this method can be generalized and extended to other applications.", acknowledgement = ack-nhfb, classmath = "74S15 (Boundary element methods)", keywords = "fast multipole method; generalized minimal residual algorithm; mechanics of elasticity; virtual boundary element method", language = "Chinese", remark = "English summary", } @Article{Yao:2008:IFM, author = "Zhen-han Yao and Hai-tao Wang and Peng-bo Wang and Ting Lei", title = "Investigations on fast multipole {BEM} in solid mechanics", journal = j-J-UNIV-SCI-TECHNOL-CHINA, volume = "38", number = "1", pages = "1--17", year = "2008", CODEN = "CKHPD7", ISSN = "0253-2778", MRclass = "74S15 (65N38 74E30 74R10)", MRnumber = "MR2413773 (2009e:74110)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of University of Science and Technology of China. Zhongguo Kexue Jishu Daxue Xuebao", keywords = "fast multipole method", } @Article{Bapat:2009:AFM, author = "M. S. Bapat and L. Shen and Y. J. Liu", title = "Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems", journal = j-ENG-ANAL-BOUND-ELEM, volume = "33", number = "8-9", pages = "1113--1123", year = "2009", DOI = "https://doi.org/10.1016/j.enganabound.2009.04.005", ISSN = "0955-7997 (print), 1873-197x (electronic)", ISSN-L = "0955-7997", MRclass = "65N38 (76Q05)", MRnumber = "MR2507703 (2010b:65275)", MRreviewer = "Paul Andrew Martin", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Engineering Analysis with Boundary Elements", } @Article{Beylkin:2009:FCF, author = "Gregory Beylkin and Christopher Kurcz and Lucas Monz{\'o}n", title = "Fast convolution with the free space {Helmholtz} {Green}'s function", journal = j-J-COMPUT-PHYS, volume = "228", number = "8", pages = "2770--2791", year = "2009", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2008.12.027", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65R99 (42B20 45P05)", MRnumber = "MR2509295 (2010d:65390)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Carpentieri:2009:APF, author = "Bruno Carpentieri", title = "Algebraic preconditioners for the fast multipole method in electromagnetic scattering analysis from large structures: trends and problems", journal = j-ELECTRON-J-BOUND-ELEM, volume = "7", number = "1", pages = "13--49", year = "2009", ISSN = "1542-3891", MRclass = "78M05 (65F10 78A45)", MRnumber = "MR2487514 (2010i:78016)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Electronic Journal of Boundary Elements", keywords = "fast multipole method", } @Article{Chadwick:2009:HSP, author = "Jeffrey N. Chadwick and Steven S. An and Doug L. James", title = "Harmonic shells: a practical nonlinear sound model for near-rigid thin shells", journal = j-TOG, volume = "28", number = "5", pages = "119:1--119:10", month = dec, year = "2009", CODEN = "ATGRDF", DOI = "https://doi.org/10.1145/1661412.1618465", ISSN = "0730-0301 (print), 1557-7368 (electronic)", ISSN-L = "0730-0301", bibdate = "Mon Mar 15 09:01:55 MDT 2010", bibsource = "http://www.acm.org/pubs/contents/journals/tog/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "We propose a procedural method for synthesizing realistic sounds due to nonlinear thin-shell vibrations. We use linear modal analysis to generate a small-deformation displacement basis, then couple the modes together using nonlinear thin-shell forces. To enable audio-rate time-stepping of mode amplitudes with mesh-independent cost, we propose a reduced-order dynamics model based on a thin-shell cubature scheme. Limitations such as mode locking and pitch glide are addressed. To support fast evaluation of mid-frequency mode-based sound radiation for detailed meshes, we propose {\em far-field acoustic transfer maps\/} (FFAT maps) which can be precomputed using state-of-the-art fast Helmholtz multipole methods. Familiar examples are presented including rumbling trash cans and plastic bottles, crashing cymbals, and noisy sheet metal objects, each with increased richness over linear modal sound models.", acknowledgement = ack-nhfb, articleno = "119", fjournal = "ACM Transactions on Graphics", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778", keywords = "acoustic transfer; contact sounds; dimensional model reduction; Helmholtz equation; modal analysis; sound synthesis; subspace integration; thin shells", } @Article{Chen:2009:ADI, author = "K. H. Chen and J. T. Chen and J. H. Kao and Y. T. Lee", title = "Applications of the dual integral formulation in conjunction with fast multipole method to the oblique incident wave problem", journal = j-INT-J-NUMER-METHODS-FLUIDS, volume = "59", number = "7", pages = "711--751", year = "2009", CODEN = "IJNFDW", DOI = "https://doi.org/10.1002/fld.1809", ISSN = "0271-2091 (print), 1097-0363 (electronic)", ISSN-L = "0271-2091", MRclass = "65N99", MRnumber = "MR2498977 (2010b:65291)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Fluids", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363", keywords = "fast multipole method", } @Article{Cruz:2009:CAF, author = "Felipe A. Cruz and L. A. Barba", title = "Characterization of the accuracy of the fast multipole method in particle simulations", journal = j-INT-J-NUMER-METHODS-ENG, volume = "79", number = "13", pages = "1577--1604", year = "2009", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.2611", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "65M75 (76M28)", MRnumber = "MR2571806 (2010j:65200)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", ZMnumber = "1176.76103", abstract = "The fast multipole method (FMM) is a fast summation algorithm capable of accelerating pairwise interaction calculations, known as $N$-body problems, from an algorithmic complexity of $ \cal O(N^2) $ to $ \cal O(N) $ for N particles. The algorithm has brought a dramatic increase in the capability of particle simulations in many application areas, such as electrostatics, particle formulations of fluid mechanics, and others. Although the literature on the subject provides theoretical error bounds for the FMM approximation, there are not many reports on the measured errors in a suite of computational experiments that characterize the accuracy of the method in relation with the different parameters available to the user. We have performed such an experimental investigation, and summarized the results of about 1500 calculations using the FMM algorithm, applied to the $ 2 D $ vortex particle method. In addition to the more standard diagnostic of the maximum error, we supply illustrations of the spatial distribution of the errors, offering visual evidence of all the contributing factors to the overall approximation accuracy: multipole expansion, local expansion, hierarchical spatial decomposition (interaction lists, local domain, far domain). This presentation is a contribution to any researcher wishing to incorporate the FMM acceleration to their application code, as it aids in understanding where accuracy is gained or compromised.", acknowledgement = ack-nhfb, classmath = "76M28 (Particle methods and lattice-gas methods); 76M23 (Vortex methods)", fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", keywords = "fast multipole method; hierarchical algorithms; order-$N$ algorithms; particle methods; vortex method", } @Article{Dachsel:2009:ECF, author = "Holger Dachsel", title = "An error-controlled fast multipole method", journal = j-J-CHEM-PHYS, volume = "131", number = "24", pages = "244102", day = "28", month = dec, year = "2009", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.3264952", ISSN = "1089-7690", ISSN-L = "0021-9606", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "See correction \cite{Dachsel:2010:CAE}.", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", } @Article{Ergul:2009:CIE, author = "{\"O}zg{\"u}r Erg{\"u}l and Levent G{\"u}rel", title = "Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "57", number = "1", pages = "176--187", year = "2009", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2008.2009665", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78A45 (78M05)", MRnumber = "MR2493479", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", } @Article{Ergul:2009:HPS, author = "{\"O}zg{\"u}r Erg{\"u}l and Levent G{\"u}rel", title = "A hierarchical partitioning strategy for an efficient parallelization of the multilevel fast multipole algorithm", journal = j-IEEE-TRANS-ANTENNAS-PROPAG, volume = "57", number = "6", pages = "1740--1750", year = "2009", CODEN = "IETPAK", DOI = "https://doi.org/10.1109/TAP.2009.2019913", ISSN = "0018-926x (print), 1558-2221 (electronic)", ISSN-L = "0018-926X", MRclass = "78M05", MRnumber = "MR2543210", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Institute of Electrical and Electronics Engineers. Transactions on Antennas and Propagation", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8", } @Article{Fong:2009:BBF, author = "William Fong and Eric Darve", title = "The black-box fast multipole method", journal = j-J-COMPUT-PHYS, volume = "228", number = "23", pages = "8712--8725", year = "2009", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2009.08.031", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65B10 (65R10)", MRnumber = "MR2558773", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", ZMnumber = "1177.65009", abstract = "A new $ O(N) $ fast multipole formulation is proposed for non-oscillatory kernels. This algorithm is applicable to kernels $ K(x, y) $ which are only known numerically, that is their numerical value can be obtained for any $ (x, y) $. This is quite different from many fast multipole methods which depend on analytical expansions of the far-field behavior of $K$, for $ |x - y| $ large. Other ``black-box'' or ``kernel-independent'' fast multipole methods have been devised. Our approach has the advantage of requiring a small pre-computation time even for very large systems, and uses the minimal number of coefficients to represent the far-field, for a given $ L^2 $ tolerance error in the approximation. This technique can be very useful for problems where the kernel is known analytically but is quite complicated, or for kernels which are defined purely numerically.", acknowledgement = ack-nhfb, classmath = "65B10 (Summation of series); 65D05 (Interpolation (numerical methods)); 65F20 (Overdetermined systems (numerical linear algebra))", fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "algorithm; Chebyshev polynomials; fast multipole method; fast summation method; interpolation; non-oscillatory kernels; numerical examples; singular value decomposition", } @Article{Ginste:2009:ECP, author = "Dries Vande Ginste and Luc Knockaert and Dani{\"e}l {De Zutter}", title = "Error control in the perfectly matched layer based multilevel fast multipole algorithm", journal = j-J-COMPUT-PHYS, volume = "228", number = "13", pages = "4811--4822", day = "20", month = jul, year = "2009", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2009.03.034", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:14:12 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999109001661", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Gumerov:2009:BFM, author = "Nail A. Gumerov and Ramani Duraiswami", title = "A broadband fast multipole accelerated boundary element method for the three dimensional {Helmholtz} equation", journal = j-J-ACOUST-SOC-AM, volume = "125", number = "1", pages = "191--205", month = jan, year = "2009", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.3021297", ISSN = "1520-8524", ISSN-L = "0001-4966", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", report-number = "Gumerov, Nail/G-7529-2011; Duraiswami, Ramani/J-6070-2012", } @InProceedings{Hamada:2009:THB, author = "T. Hamada and T. Narumi and R. Yokota and K. Yasuoka and K. Nitadori and M. Taiji", booktitle = "{Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis at SC '09}", title = "{42 Tflops} hierarchical $n$-body simulations on {GPUs} with applications in both astrophysics and turbulence", publisher = pub-ACM, address = pub-ACM:adr, pages = "62:1?62:12", year = "2009", DOI = "https://doi.org/10.1145/1654059.1654123", bibdate = "Sat Nov 24 07:02:02 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Handley:2009:OCF, author = "Chris M. Handley and Glenn I. Hawe and Douglas B. Kell and Paul L. A. Popelier", title = "Optimal construction of a fast and accurate polarisable water potential based on multipole moments trained by machine learning", journal = j-PHYS-CHEM-CHEM-PHYS, volume = "11", number = "30", pages = "6365--6376", day = "14", month = aug, year = "2009", CODEN = "PPCPFQ", DOI = "https://doi.org/10.1039/b905748j", ISSN = "1463-9076 (print), 1463-9084 (electronic)", ISSN-L = "1463-9076", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Physical chemistry chemical physics: PCCP", journal-URL = "http://pubs.rsc.org/en/journals/journal/cp", report-number = "Kell, Douglas/E-8318-2011", } @Article{Huang:2009:FYA, author = "Jingfang Huang and Jun Jia and Bo Zhang", title = "{FMM--Yukawa}: An adaptive fast multipole method for screened {Coulomb} interactions", journal = j-COMP-PHYS-COMM, volume = "180", number = "11", pages = "2331--2338", month = nov, year = "2009", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2009.06.028", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 10:11:30 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465509002082", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Ishiyama:2009:GMP, author = "T. Ishiyama and T. Fukushige and J. Makino", title = "{GreeM}: Massively Parallel {TreePM} Code for Large Cosmological {$N$}-body Simulations", journal = j-PUBL-ASTRON-SOC-JPN, volume = "61", number = "??", pages = "1319--1330", month = dec, year = "2009", CODEN = "PASJAC", ISSN = "0004-6264", bibdate = "Sat Nov 24 07:21:24 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Publications of the {Astronomical Society of Japan}", } @Article{Korchowiec:2009:ECT, author = "Jacek Korchowiec and Jakub Lewandowski and Marcin Makowski and Feng Long Gu and Yuriko Aoki", title = "Elongation cutoff technique armed with quantum fast multipole method for linear scaling", journal = j-J-COMPUT-CHEM, volume = "30", number = "15", pages = "2515--2525", day = "30", month = nov, year = "2009", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.21252", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", onlinedate = "16 Apr 2009", report-number = "Makowski, Marcin/C-2985-2013", } @Article{Kreuzer:2009:FMB, author = "Wolfgang Kreuzer and Piotr Majdak and Zhengsheng Chen", title = "Fast multipole boundary element method to calculate head-related transfer functions for a wide frequency range", journal = j-J-ACOUST-SOC-AM, volume = "126", number = "3", pages = "1280--1290", month = sep, year = "2009", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.3177264", ISSN = "1520-8524", ISSN-L = "0001-4966", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", } @Book{Liu:2009:FMB, author = "Yijun Liu", title = "Fast multipole boundary element method", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xviii + 235", year = "2009", DOI = "https://doi.org/10.1017/CBO9780511605345", ISBN = "0-521-11659-7 (hardcover), 0-511-60534-X (electronic)", ISBN-13 = "978-0-521-11659-6 (hardcover), 978-0-511-60534-5 (electronic)", MRclass = "65N38 (74B05 74S15 76M25)", MRnumber = "MR2555366", bibdate = "Tue Sep 20 18:23:43 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "Theory and applications in engineering", acknowledgement = ack-nhfb, keywords = "fast multipole method", tableofcontents = "Frontmatter: i--iv \\ Contents: v--x \\ Preface: xi--xiv \\ Acknowledgments: xv--xvi \\ Acronyms Used in This Book: xvii--xviii \\ 1: Introduction: 1--16 \\ 2: Conventional Boundary Element Method for Potential Problems: 17--46 \\ 3: Fast Multipole Boundary Element Method for Potential Problems: 47--84 \\ 4: Elastostatic Problems: 85--118 \\ 5: Stokes Flow Problems: 119--145 \\ 6: Acoustic Wave Problems: 146--176 \\ Appendix A: Analytical Integration of the Kernels: 177--183 \\ Appendix B: Sample Computer Programs: 184--222 \\ References: 223--232 \\ Index: 233--235", } @Article{Malas:2009:AMF, author = "Tah{\^\i}r Malas and Levent G{\"u}rel", title = "Accelerating the multilevel fast multipole algorithm with the sparse-approximate-inverse ({SAI}) preconditioning", journal = j-SIAM-J-SCI-COMP, volume = "31", number = "3", pages = "1968--1984", year = "2009", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/070711098", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65F10 (78A45 78M05)", MRnumber = "MR2516140", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/31/3; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", } @Article{Nakashima:2009:WFM, author = "N. Nakashima and M. Tateiba", title = "A wideband fast multipole algorithm for two-dimensional volume integral equations", journal = j-INT-J-NUMER-METHODS-ENG, volume = "77", number = "2", pages = "195--213", year = "2009", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.2409", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "65R20 (35J05 78A45 78M05)", MRnumber = "MR2485080 (2009k:65284)", MRreviewer = "Olaf Hansen", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", } @Article{Of:2009:FMB, author = "G. Of and M. Kaltenbacher and O. Steinbach", title = "Fast multipole boundary element method for electrostatic field computations", journal = "COMPEL", volume = "28", number = "2", pages = "304--319", year = "2009", DOI = "https://doi.org/10.1108/03321640910929236", ISSN = "0332-1649", MRclass = "78M15 (78A30)", MRnumber = "MR2517330", bibdate = "Fri May 21 09:18:46 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "COMPEL. The International Journal for Computation and Mathematics in Electrical and Electronic Engineering", } @InProceedings{Otani:2009:BPF, author = "Y. Otani and N. Nishimura", editor = "Habib Ammari and others", booktitle = "{Imaging microstructures. Mathematical and computational challenges. Proceedings of a research conference, Paris, France, June 18--20, 2008}", title = "Behaviour of periodic fast multipole boundary integral equation method for {Maxwell}'s equations near {Wood}'s anomalies", volume = "494", publisher = pub-AMS, address = pub-AMS:adr, pages = "43--59", year = "2009", MRclass = "78A45 (35Q60 78Mxx)", MRnumber = "MR2581765", bibdate = "Fri May 21 08:48:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Contemporary Mathematics", ZMnumber = "1179.78110", abstract = "Wood's anomalies are phenomena, known in the scattering of electromagnetic waves by gratings, where diffracted or transmitted fields vary drastically over very narrow ranges of frequency or incident angles. In a class of Wood's anomalies known as the resonance type, guided modes or leaky modes are excited in the directions of the periodicity, which exert harmful influences on the accuracy of numerical solutions. In this paper, we examine the accuracy of the periodic FMM and study the convergence properties of the linear solver near Wood's anomalies. Through numerical experiments, we found that the accuracy of the solution improves simply by using finer meshes near anomalies.", acknowledgement = ack-nhfb, classmath = "78M16; 78M05 (Method of moments (optics)); 78M15 (Boundary element methods (optics)); 78A45 (Diffraction, scattering (optics)); 78A50 (Antennas, wave-guides)", keywords = "fast multiple method; Maxwell's equations; Wood's anomalies", } @Article{Otani:2009:FOP, author = "Yoshihiro Otani and Naoshi Nishimura", title = "An {FMM} for orthotropic periodic boundary value problems for {Maxwell}'s equations", journal = j-WAVES-RANDOM-COMPLEX-MEDIA, volume = "19", number = "1", pages = "80--104", year = "2009", DOI = "https://doi.org/10.1080/17455030802616863", ISSN = "1745-5030 (print), 1745-5049 (electronic)", ISSN-L = "1745-5030", MRclass = "78M05 (78A25)", MRnumber = "MR2532648 (2010g:78035)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Waves in Random and Complex Media. Propagation, Scattering and Imaging", journal-URL = "http://www.tandfonline.com/loi/twrm20", keywords = "fast multipole method", } @Article{Ravnik:2009:CBW, author = "J. Ravnik and L. {\v{S}}kerget and Z. {\v{Z}}uni{\v{c}}", title = "Comparison between wavelet and fast multipole data sparse approximations for {Poisson} and kinematics boundary---domain integral equations", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "198", number = "17-20", pages = "1473--1485", year = "2009", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/j.cma.2008.12.012", ISSN = "0045-7825, 0374-2830", ISSN-L = "0045-7825", MRclass = "65T60 (42C40 65N38)", MRnumber = "MR2513365 (2010d:65396)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", journal-URL = "http://www.sciencedirect.com/science/journal/00457825", keywords = "fast multipole method", } @Article{Tong:2009:MFM, author = "Mei Song Tong and Weng Cho Chew", title = "Multilevel fast multipole algorithm for elastic wave scattering by large three-dimensional objects", journal = j-J-COMPUT-PHYS, volume = "228", number = "3", pages = "921--932", day = "20", month = feb, year = "2009", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2008.10.003", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:14:05 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999108005330", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Tranouez:2009:BUF, author = "Pierrick Tranouez and Antoine Dutot", title = "Building upon fast multipole methods to detect and model organizations", journal = j-DYN-CONTIN-DISCR-IMPULS-B, volume = "16", number = "4", pages = "489--500", year = "2009", CODEN = "DCDIS4", ISSN = "1492-8760", MRclass = "91D30 (70F10)", MRnumber = "MR2547539", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Dynamics of Continuous, Discrete \& Impulsive Systems. Series B. Applications \& Algorithms", keywords = "fast multipole method", } @Article{Veerapaneni:2009:BIM, author = "Shravan K. Veerapaneni and Denis Gueyffier and Denis Zorin and George Biros", title = "A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in {$2$D}", journal = j-J-COMPUT-PHYS, volume = "228", number = "7", pages = "2334--2353", day = "20", month = apr, year = "2009", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2008.11.036", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "76M25 (74F10 76Z05 92C30)", MRnumber = "MR2501689 (2010d:76067)", bibdate = "Sat Dec 31 08:25:24 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999108006244", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "fast multipole method", } @Article{Xiao:2009:FMV, author = "Jinyou Xiao and Lihua Wen and Johannes Tausch", title = "On fast matrix-vector multiplication in wavelet {Galerkin} {BEM}", journal = j-ENG-ANAL-BOUND-ELEM, volume = "33", number = "2", pages = "159--167", year = "2009", DOI = "https://doi.org/10.1016/j.enganabound.2008.05.006", ISSN = "0955-7997 (print), 1873-197x (electronic)", ISSN-L = "0955-7997", MRclass = "65N38 (65T60)", MRnumber = "MR2471226 (2010e:65232)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Engineering Analysis with Boundary Elements", keywords = "fast multipole method", } @Article{Xiao:2009:PCW, author = "Jinyou Xiao and Johannes Tausch and Yucai Hu", title = "A-posteriori compression of wavelet-{BEM} matrices", journal = j-COMPUT-MECH, volume = "44", number = "5", pages = "705--715", year = "2009", CODEN = "CMMEEE", DOI = "https://doi.org/10.1007/s00466-009-0403-6", ISSN = "0178-7675 (print), 1432-0924 (electronic)", ISSN-L = "0178-7675", MRclass = "65T60 (65N30)", MRnumber = "MR2538921 (2010i:65331)", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Computational Mechanics", keywords = "fast multipole method", } @InCollection{Ying:2009:FAB, author = "Lexing Ying", booktitle = "Multiscale modeling and simulation in science", title = "Fast algorithms for boundary integral equations", volume = "66", publisher = "Springer", address = "Berlin", pages = "139--193", year = "2009", DOI = "https://doi.org/10.1007/978-3-540-88857-4_3", MRclass = "45A05 (35J05 65R20)", MRnumber = "MR2503656 (2010d:45001)", MRreviewer = "B. P. Parashar", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Lect. Notes Comput. Sci. Eng.", acknowledgement = ack-nhfb, keywords = "fast multipole method", } @Article{Yokota:2009:FMM, author = "R. Yokota and T. Narumi and R. Sakamaki and S. Kameoka and S. Obi and K. Yasuoka", title = "Fast multipole methods on a cluster of {GPUs} for the meshless simulation of turbulence", journal = j-COMP-PHYS-COMM, volume = "180", number = "11", pages = "2066--2078", month = nov, year = "2009", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2009.06.009", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 10:11:30 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465509001891", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Anandakrishnan:2010:ABN, author = "Ramu Anandakrishnan and Alexey V. Onufriev", title = "An {$ N \log N $} approximation based on the natural organization of biomolecules for speeding up the computation of long range interactions", journal = j-J-COMPUT-CHEM, volume = "31", number = "4", pages = "691--706", month = mar, year = "2010", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.21357", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:55:24 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2010.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "30 Jun 2009", } @Article{Chartier:2010:RFM, author = "P. Chartier and E. Darrigrand and E. Faou", title = "A regular fast multipole method for geometric numerical integrations of {Hamiltonian} systems", journal = j-BIT-NUM-MATH, volume = "50", number = "1", pages = "23--40", month = mar, year = "2010", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/s10543-010-0248-6", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65P10 (65L05)", MRnumber = "MR2595474", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=50&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=50&issue=1&spage=23", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", journal-URL = "http://link.springer.com/journal/10543", keywords = "fast multipole method", } @Article{Cho:2010:WFM, author = "Min Hyung Cho and Wei Cai", title = "A {Wideband Fast Multipole Method} for the two-dimensional complex {Helmholtz} equation", journal = j-COMP-PHYS-COMM, volume = "181", number = "12", pages = "2086--2090", month = dec, year = "2010", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2010.09.010", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 09:54:31 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465510003553", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Coulaud:2010:HPB, author = "O. Coulaud and P. Fortin and J. Roman", title = "High performance {BLAS} formulation of the adaptive {Fast Multipole Method}", journal = j-MATH-COMP-MODELLING, volume = "51", number = "3-4", pages = "177--188", year = "2010", CODEN = "MCMOEG", DOI = "https://doi.org/10.1016/j.mcm.2009.08.039", ISSN = "0895-7177 (print), 1872-9479 (electronic)", ISSN-L = "0895-7177", MRclass = "65F30 (65Y15)", MRnumber = "MR2580059", bibdate = "Tue Sep 28 08:51:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical and Computer Modelling", keywords = "fast multipole method", } @Article{Dachsel:2010:CAE, author = "Holger Dachsel", title = "Corrected article: {``An error-controlled fast multipole method'' [J. Chem Phys. {\bf 131}, 244102 (2009)]}", journal = j-J-CHEM-PHYS, volume = "132", number = "11", pages = "119901--119901", day = "21", month = mar, year = "2010", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.3358272", ISSN = "1089-7690", ISSN-L = "0021-9606", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", note = "See \cite{Dachsel:2009:ECF}.", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", } @Article{Gumerov:2010:CHR, author = "Nail A. Gumerov and Adam E. O'Donovan and Ramani Duraiswami and Dmitry N. Zotkin", title = "Computation of the head-related transfer function via the fast multipole accelerated boundary element method and its spherical harmonic representation", journal = j-J-ACOUST-SOC-AM, volume = "127", number = "1", pages = "370--386", month = "????", year = "2010", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.3257598", ISSN = "0001-4966", ISSN-L = "0001-4966", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", report-number = "Gumerov, Nail/G-7529-2011; Duraiswami, Ramani/J-6070-2012", } @InProceedings{Hamada:2010:TAB, author = "T. Hamada and K. Nitadori", booktitle = "{Proceedings of the 2010 ACM\slash IEEE International Conference for High Performance Computing Networking, Storage and Analysis at SC'10}", title = "{190 Tflops} astrophysical $n$-body simulation on a cluster of {GPUs}", publisher = pub-ACM, address = pub-ACM:adr, pages = "1--9", year = "2010", DOI = "https://doi.org/10.1109/SC.2010.1", bibdate = "Sat Nov 24 07:04:08 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Hesford:2010:FIS, author = "Andrew J. Hesford and Weng C. Chew", title = "Fast inverse scattering solutions using the distorted {Born} iterative method and the multilevel fast multipole algorithm", journal = j-J-ACOUST-SOC-AM, volume = "128", number = "2", pages = "679--690", month = "????", year = "2010", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.3458856", ISSN = "0001-4966", ISSN-L = "0001-4966", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", } @Article{Hesford:2010:FMM, author = "Andrew J. Hesford and Robert C. Waag", title = "The fast multipole method and {Fourier} convolution for the solution of acoustic scattering on regular volumetric grids", journal = j-J-COMPUT-PHYS, volume = "229", number = "21", pages = "8199--8210", day = "20", month = oct, year = "2010", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2010.07.025", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sat Dec 31 11:58:45 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999110004183", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @Article{Kim:2010:CBA, author = "Bongkeun Kim and Jiming Song and Xueyu Song", title = "Calculations of the binding affinities of protein-protein complexes with the fast multipole method", journal = j-J-CHEM-PHYS, volume = "133", number = "9", pages = "095101--095101", day = "7", month = sep, year = "2010", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.3474624", ISSN = "1089-7690", ISSN-L = "0021-9606", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", } @Article{Lu:2010:AAF, author = "Benzhuo Lu and Xiaolin Cheng and Jingfang Huang and J. Andrew McCammon", title = "{AFMPB}: An adaptive fast multipole {Poisson--Boltzmann} solver for calculating electrostatics in biomolecular systems", journal = j-COMP-PHYS-COMM, volume = "181", number = "6", pages = "1150--1160", month = jun, year = "2010", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2010.02.015", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 09:54:29 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465510000548", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Sato:2010:AFS, author = "Akira Sato", title = "Analysis of finite-sized guided-mode resonant gratings using the fast multipole boundary element method", journal = j-J-OPT-SOC-AM-A, volume = "27", number = "9", pages = "1909--1919", day = "1", month = sep, year = "2010", CODEN = "JOAOD6", DOI = "https://doi.org/10.1364/JOSAA.27.001909", ISSN = "1520-8532", ISSN-L = "1084-7529", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Optical Society of America. A, Optics, image science, and vision", journal-URL = "https://www.osapublishing.org/josaa/", } @Article{Zhang:2010:RFY, author = "Bo Zhang and Jingfang Huang and Nikos P. Pitsianis and Xiaobai Sun", title = "Revision of {FMM--Yukawa}: An adaptive fast multipole method for screened {Coulomb} interactions", journal = j-COMP-PHYS-COMM, volume = "181", number = "12", pages = "2206--2207", month = dec, year = "2010", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2010.09.012", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 09:54:31 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465510003577", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Zwart:2010:SUI, author = "Simon Portegies Zwart and Derek Groen and Tomoaki Ishiyama and Keigo Nitadori and Junichiro Makino and Cees de Laat and Steve McMillan and Kei Hiraki and Stefan Harfst and Paola Grosso", title = "Simulating the Universe on an Intercontinental {Grid}", journal = j-COMPUTER, volume = "43", number = "8", pages = "63--70", month = aug, year = "2010", CODEN = "CPTRB4", DOI = "https://doi.org/10.1109/MC.2009.419", ISSN = "0018-9162 (print), 1558-0814 (electronic)", ISSN-L = "0018-9162", bibdate = "Fri Aug 20 11:03:43 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", abstract = "The computational requirements of simulating a sector of the universe led an international team of researchers to try concurrent processing on two supercomputers half a world apart. Data traveled nearly 27,000 km in 0.277 second, crisscrossing two oceans to go from Amsterdam to Tokyo and back.", acknowledgement = ack-nhfb, fjournal = "Computer", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2", keywords = "Barnes--Hut; Cray XT4; fast multipole; GreeM; N-body; SARA Huygens supercomputer; treePM", } @Article{Anandakrishnan:2011:GBA, author = "Ramu Anandakrishnan and Mayank Daga and Alexey V. Onufriev", title = "An $ n \log n $ Generalized {Born} Approximation", journal = j-J-CHEM-THEORY-COMPUT, volume = "7", number = "3", pages = "544--559", year = "2011", CODEN = "JCTCCE", DOI = "https://doi.org/10.1021/ct100390b", ISSN = "1549-9618 (print), 1549-9626 (electronic)", ISSN-L = "1549-9618", bibdate = "Wed Oct 19 00:28:15 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/born-max.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Theory and Computation", journal-URL = "http://pubs.acs.org/loi/jctcce", keywords = "fast multipole method", onlinedate = "January 27, 2011", } @Article{Bannerman:2011:DFG, author = "M. N. Bannerman and R. Sargant and L. Lue", title = "{DynamO}: a free {$ O(N) $} general event-driven molecular dynamics simulator", journal = j-J-COMPUT-CHEM, volume = "32", number = "15", pages = "3329--3338", day = "30", month = nov, year = "2011", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.21915", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:55:36 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2010.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "29 Aug 2011", } @InProceedings{Cruz:2011:FMM, author = "F. A. Cruz and M. G. Knepley and L. A. Barba", title = "Fast Multipole Method for particle interactions: an open source parallel library component", crossref = "Tromeur-Dervout:2011:PCF", volume = "74", pages = "285--292", year = "2011", DOI = "https://doi.org/10.1007/978-3-642-14438-7_30", bibdate = "Sat Dec 22 08:34:49 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncse.bib", URL = "http://link.springer.com/content/pdf/10.1007/978-3-642-14438-7_30", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/978-3-642-14438-7", book-URL = "http://www.springerlink.com/content/978-3-642-14438-7", } @Article{Engblom:2011:WSS, author = "Stefan Engblom", title = "On well-separated sets and fast multipole methods", journal = j-APPL-NUM-MATH, volume = "61", number = "10", pages = "1096--1102", month = oct, year = "2011", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/j.apnum.2011.06.011", ISSN = "0168-9274 (print), 1873-5460 (electronic)", ISSN-L = "0168-9274", bibdate = "Wed Aug 17 19:00:45 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.sciencedirect.com/science/journal/01689274", abstract = "The notion of well-separated sets is crucial in fast multipole methods as the main idea is to approximate the interaction between such sets via cluster expansions. We revisit the one-parameter multipole acceptance criterion in a general setting and derive a relative error estimate. This analysis benefits asymmetric versions of the method, where the division of the multipole boxes is more liberal than in conventional codes. Such variants offer a particularly elegant implementation with a balanced multipole tree, a feature which might be very favorable on modern computer architectures.", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/01689274", } @Article{Ergul:2011:SLS, author = "Ozgur Ergul", title = "Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm", journal = j-J-OPT-SOC-AM-A, volume = "28", number = "11", pages = "2261--2268", day = "1", month = nov, year = "2011", CODEN = "JOAOD6", DOI = "https://doi.org/10.1364/JOSAA.28.002261", ISSN = "1520-8532", ISSN-L = "1084-7529", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Optical Society of America. A, Optics, image science, and vision", journal-URL = "https://www.osapublishing.org/josaa/", report-number = "Ergul, Ozgur/E-7698-2013", } @Article{Fedichev:2011:CEM, author = "P. O. Fedichev and E. G. Getmantsev and L. I. Menshikov", title = "{$ O(N \log N) $} continuous electrostatics method for fast calculation of solvation energies of biomolecules", journal = j-J-COMPUT-CHEM, volume = "32", number = "7", pages = "1368--1376", month = may, year = "2011", CODEN = "JCCHDD", DOI = "https://doi.org/10.1002/jcc.21719", ISSN = "0192-8651 (print), 1096-987X (electronic)", ISSN-L = "0192-8651", bibdate = "Thu Nov 29 14:55:32 MST 2012", bibsource = "http://www.interscience.wiley.com/jpages/0192-8651; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputchem2010.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Chemistry", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X", keywords = "fast multipole method", onlinedate = "31 Dec 2010", } @Article{Gavrilyuk:2011:BRF, author = "I. P. Gavrilyuk", title = "Book review: {{\em Fast multipole boundary element method}}", journal = j-MATH-COMPUT, volume = "80", number = "275", pages = "1867--1869", month = jul, year = "2011", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Apr 18 06:32:30 MDT 2011", bibsource = "http://www.ams.org/mcom/2011-80-275; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://www.ams.org/journals/mcom/2011-80-275/S0025-5718-2011-02516-0/home.html; http://www.ams.org/journals/mcom/2011-80-275/S0025-5718-2011-02516-0/S0025-5718-2011-02516-0.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", remark = "See \cite{Liu:2009:FMB}.", } @Article{Gramada:2011:CGE, author = "Apostol Gramada and Philip E. Bourne", title = "Coarse-graining the electrostatic potential via distributed multipole expansions", journal = j-COMP-PHYS-COMM, volume = "182", number = "7", pages = "1455--1462", month = jul, year = "2011", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2011.03.014", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 10:10:58 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465511000920", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Hamada:2011:GAI, author = "Shoji Hamada", title = "{GPU}-accelerated indirect boundary element method for voxel model analyses with fast multipole method", journal = j-COMP-PHYS-COMM, volume = "182", number = "5", pages = "1162--1168", month = may, year = "2011", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2011.01.020", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 10:10:57 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465511000403", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Hesford:2011:RRA, author = "Andrew J. Hesford and Robert C. Waag", title = "Reduced-rank approximations to the far-field transform in the gridded fast multipole method", journal = j-J-COMPUT-PHYS, volume = "230", number = "10", pages = "3656--3667", day = "10", month = may, year = "2011", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2011.02.016", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sat Dec 31 11:59:16 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999111001057", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @InProceedings{Hu:2011:SFM, author = "Qi Hu and Nail A. Gumerov and Ramani Duraiswami", title = "Scalable fast multipole methods on distributed heterogeneous architectures", crossref = "Lathrop:2011:SPI", pages = "36:1--36:12", year = "2011", DOI = "https://doi.org/10.1145/2063384.2063432", bibdate = "Fri Dec 16 11:05:47 MST 2011", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing2011.bib", acknowledgement = ack-nhfb, articleno = "36", } @Article{Kim:2011:CSV, author = "Bongkeun Kim and Xueyu Song", title = "Calculations of the second virial coefficients of protein solutions with an extended fast multipole method", journal = j-PHYS-REV-E, volume = "83", number = "1 Pt 1", pages = "011915--011915", month = jan, year = "2011", CODEN = "PLEEE8", DOI = "https://doi.org/10.1103/PhysRevE.83.011915", ISSN = "1550-2376", ISSN-L = "1539-3755", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)", journal-URL = "http://pre.aps.org/browse", } @Article{Malas:2011:SCP, author = "Tah{\'\i}r Malas and Levent G{\"u}rel", title = "{Schur} Complement Preconditioners for Surface Integral-Equation Formulations of Dielectric Problems Solved with the Multilevel Fast Multipole Algorithm", journal = j-SIAM-J-SCI-COMP, volume = "33", number = "5", pages = "2440--2467", month = "????", year = "2011", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/090780808", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Sat Oct 15 12:30:32 MDT 2011", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/33/5; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", URL = "http://epubs.siam.org/sisc/resource/1/sjoce3/v33/i5/p2440_s1", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "October 04, 2011", } @Article{Yokota:2011:BEU, author = "Rio Yokota and Jaydeep P. Bardhan and Matthew G. Knepley and L. A. Barba and Tsuyoshi Hamada", title = "Biomolecular electrostatics using a fast multipole {BEM} on up to 512 {GPUs} and a billion unknowns", journal = j-COMP-PHYS-COMM, volume = "182", number = "6", pages = "1272--1283", month = jun, year = "2011", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2011.02.013", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 10:10:58 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465511000750", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Zhang:2011:FSB, author = "Bo Zhang and Jingfang Huang and Nikos P. Pitsianis and Xiaobai Sun", title = "A {Fourier}-series-based kernel-independent fast multipole method", journal = j-J-COMPUT-PHYS, volume = "230", number = "15", pages = "5807--5821", day = "1", month = jul, year = "2011", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2011.03.049", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sat Dec 31 11:59:30 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999111002105", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @InProceedings{Zhang:2011:OBH, author = "Junchao Zhang and Babak Behzad and Marc Snir", title = "Optimizing the {Barnes--Hut} algorithm in {UPC}", crossref = "Lathrop:2011:SPI", pages = "75:1--75:11", year = "2011", DOI = "https://doi.org/10.1145/2063384.2063485", bibdate = "Fri Dec 16 11:05:47 MST 2011", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing2011.bib", acknowledgement = ack-nhfb, articleno = "75", } @Article{Araujo:2012:SLS, author = "M. G. Araujo and J. M. Taboada and J. Rivero and D. M. Solis and F. Obelleiro", title = "Solution of large-scale plasmonic problems with the multilevel fast multipole algorithm", journal = j-OPT-LET, volume = "37", number = "3", pages = "416--418", day = "1", month = feb, year = "2012", CODEN = "OPLEDP", DOI = "https://doi.org/10.1364/OL.37.000416", ISSN = "1539-4794", ISSN-L = "0146-9592", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Optics Letters", journal-URL = "http://www.opticsinfobase.org/ol/", report-number = "Taboada, Jose/A-2897-2010", } @InProceedings{Cecka:2012:FMM, author = "Cristopher Cecka and Pierre-David L{\'e}tourneau", title = "Fast Multipole Method Using the {Cauchy} Integral Formula", crossref = "Engquist:2012:NAM", volume = "82", pages = "127--144", year = "2012", DOI = "https://doi.org/10.1007/978-3-642-21943-6_6", bibdate = "Fri Dec 21 16:04:27 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncse.bib", URL = "http://link.springer.com/content/pdf/10.1007/978-3-642-21943-6_6", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/978-3-642-21943-6", book-URL = "http://www.springerlink.com/content/978-3-642-21943-6", } @Article{Cho:2012:RWW, author = "Min Hyung Cho and Wei Cai", title = "Revision of {wFMM} --- a {Wideband Fast Multipole Method} for the two-dimensional complex {Helmholtz} equation", journal = j-COMP-PHYS-COMM, volume = "183", number = "2", pages = "446--447", month = feb, year = "2012", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2011.09.012", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 10:11:01 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465511003420", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Darrigrand:2012:CUW, author = "E. Darrigrand and P. Monk", title = "Combining the {Ultra-Weak Variational Formulation} and the multilevel fast multipole method", journal = j-APPL-NUM-MATH, volume = "62", number = "6", pages = "709--719", month = jun, year = "2012", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/j.apnum.2011.07.004", ISSN = "0168-9274 (print), 1873-5460 (electronic)", ISSN-L = "0168-9274", bibdate = "Sat Mar 24 11:09:56 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; http://www.sciencedirect.com/science/journal/01689274", URL = "http://www.sciencedirect.com/science/article/pii/S016892741100119X", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/01689274", } @Article{Lashuk:2012:MPA, author = "Ilya Lashuk and Aparna Chandramowlishwaran and Harper Langston and Tuan-Anh Nguyen and Rahul Sampath and Aashay Shringarpure and Richard Vuduc and Lexing Ying and Denis Zorin and George Biros", title = "A massively parallel adaptive fast multipole method on heterogeneous architectures", journal = j-CACM, volume = "55", number = "5", pages = "101--109", month = may, year = "2012", CODEN = "CACMA2", DOI = "https://doi.org/10.1145/2160718.2160740", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed May 9 07:19:14 MDT 2012", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/cacm2010.bib", abstract = "We describe a parallel fast multipole method (FMM) for highly nonuniform distributions of particles. We employ both distributed memory parallelism (via MPI) and shared memory parallelism (via OpenMP and GPU acceleration) to rapidly evaluate two-body nonoscillatory potentials in three dimensions on heterogeneous high performance computing architectures. We have performed scalability tests with up to 30 billion particles on 196,608 cores on the AMD/CRAY-based Jaguar system at ORNL. On a GPU-enabled system (NSF's Keeneland at Georgia Tech/ORNL), we observed 30$ \times $ speedup over a single core CPU and 7$ \times $ speedup over a multicore CPU implementation. By combining GPUs with MPI, we achieve less than 10 ns/particle and six digits of accuracy for a run with 48 million nonuniformly distributed particles on 192 GPUs.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } @Article{Lee:2012:MMM, author = "Dongryeol Lee and Arkadas Ozakin and Alexander G. Gray", title = "Multibody multipole methods", journal = j-J-COMPUT-PHYS, volume = "231", number = "20", pages = "6827--6845", day = "15", month = aug, year = "2012", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2012.06.027", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Fri Aug 3 15:00:20 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999112003427", abstract = "A three-body potential function can account for interactions among triples of particles which are uncaptured by pairwise interaction functions such as Coulombic or Lennard-Jones potentials. Likewise, a multibody potential of order n can account for interactions among n-tuples of particles uncaptured by interaction functions of lower orders. To date, the computation of multibody potential functions for a large number of particles has not been possible due to its O(Nn) scaling cost. In this paper we describe a fast tree-code for efficiently approximating multibody potentials that can be factorized as products of functions of pairwise distances. For the first time, we show how to derive a Barnes--Hut type algorithm for handling interactions among more than two particles. Our algorithm uses two approximation schemes: (1) a deterministic series expansion-based method; (2) a Monte Carlo-based approximation based on the central limit theorem. Our approach guarantees a user-specified bound on the absolute or relative error in the computed potential with an asymptotic probability guarantee. We provide speedup results on a three-body dispersion potential, the Axilrod--Teller potential.", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "$kd$-trees; Axilrod--Teller potential; Data structures; Fast multipole methods; Multi-tree algorithms", } @InProceedings{Makino:2012:GAG, author = "Junichiro Makino and Hiroshi Daisaka", title = "{GRAPE-8}: an accelerator for gravitational {$N$}-body simulation with {20.5Gflops/W} performance", crossref = "Hollingsworth:2012:SPI", pages = "104:1--104:10", year = "2012", bibdate = "Thu Nov 15 07:38:35 MST 2012", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing2012.bib", URL = "http://conferences.computer.org/sc/2012/papers/1000a081.pdf", abstract = "In this paper, we describe the design and performance of GRAPE-8 accelerator processor for gravitational N -body simulations. It is designed to evaluate gravitational interaction with cutoff between particles. The cutoff function is useful for schemes like TreePM or Particle-Particle Particle-Tree, in which gravitational force is divided to short-range and long-range components. A single GRAPE-8 processor chip integrates 48 pipeline processors. The effective number of floating-point operations per interaction is around 40. Thus the peak performance of a single GRAPE-8 processor chip is 480 Gflops. A GRAPE-8 processor card houses two GRAPE-8 chips and one FPGA chip for PCI-Express interface. The total power consumption of the board is 46W. Thus, theoretical peak performance per watt is 20.5 Gflops/W. The effective performance of the total system, including the host computer, is around 5Gflops/W. This is more than a factor of two higher than the highest number in the current Green500 list.", acknowledgement = ack-nhfb, articleno = "104", } @Article{Niino:2012:PBC, author = "Kazuki Niino and Naoshi Nishimura", title = "Preconditioning based on {Calderon}'s formulae for periodic fast multipole methods for {Helmholtz}' equation", journal = j-J-COMPUT-PHYS, volume = "231", number = "1", pages = "66--81", day = "1", month = jan, year = "2012", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2011.08.019", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Sat Dec 31 11:59:50 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999111005067", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @Article{Razavi:2012:ALS, author = "Seyed Naser Razavi and Nicolas Gaud and Abderrafi{\^a}a Koukam and Naser Mozayani", title = "An Automatic Learning System to Derive Multipole and Local Expansions for the {Fast Multipole Method}", journal = j-LECT-NOTES-COMP-SCI, volume = "7332", pages = "1--10", year = "2012", CODEN = "LNCSD9", DOI = "https://doi.org/10.1007/978-3-642-31020-1_1", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Wed Dec 19 15:20:15 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncs2012e.bib", URL = "http://link.springer.com/chapter/10.1007/978-3-642-31020-1_1/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/978-3-642-31020-1", book-URL = "http://www.springerlink.com/content/978-3-642-31020-1", fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @InProceedings{Speck:2012:MST, author = "R. Speck and D. Ruprecht and R. Krause and M. Emmett and M. Minion and M. Winkel and P. Gibbon", title = "A massively space-time parallel {$N$}-body solver", crossref = "Hollingsworth:2012:SPI", pages = "92:1--92:11", year = "2012", bibdate = "Thu Nov 15 07:38:35 MST 2012", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing2012.bib", URL = "http://conferences.computer.org/sc/2012/papers/1000a083.pdf", abstract = "We present a novel space-time parallel version of the Barnes--Hut tree code pepc using pfasst, the Parallel Full Approximation Scheme in Space and Time. The naive use of increasingly more processors for a fixed-size N-body problem is prone to saturate as soon as the number of unknowns per core becomes too small. To overcome this intrinsic strong-scaling limit, we introduce temporal parallelism on top of pepc's existing hybrid MPI/PThreads spatial decomposition. Here, we use pfasst which is based on a combination of the iterations of the parallel-in-time algorithm parareal with the sweeps of spectral deferred correction (SDC) schemes. By combining these sweeps with multiple space-time discretization levels, pfasst relaxes the theoretical bound on parallel efficiency in parareal. We present results from runs on up to 262,144 cores on the IBM Blue Gene/P installation JUGENE, demonstrating that the space-time parallel code provides speedup beyond the saturation of the purely space-parallel approach.", acknowledgement = ack-nhfb, articleno = "92", } @InProceedings{Tang:2012:FLC, author = "Ping Tak Peter Tang and Jongsoo Park and Daehyun Kim and Vladimir Petrov", title = "A framework for low-communication {$1$-D} {FFT}", crossref = "Hollingsworth:2012:SPI", pages = "42:1--42:12", year = "2012", bibdate = "Thu Nov 15 07:38:35 MST 2012", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing2012.bib", URL = "http://conferences.computer.org/sc/2012/papers/1000a043.pdf", abstract = "In high-performance computing on distributed-memory systems, communication often represents a significant part of the overall execution time. The relative cost of communication will certainly continue to rise as compute-density growth follows the current technology and industry trends. Design of lower-communication alternatives to fundamental computational algorithms has become an important field of research. For distributed 1-D FFT, communication cost has hitherto remained high as all industry-standard implementations perform three all-to-all internode data exchanges (also called global transposes). These communication steps indeed dominate execution time. In this paper, we present a mathematical framework from which many single-all-to-all and easy-to-implement 1-D FFT algorithms can be derived. For large-scale problems, our implementation can be twice as fast as leading FFT libraries on state-of-the-art computer clusters. Moreover, our framework allows tradeoff between accuracy and performance, further boosting performance if reduced accuracy is acceptable.", acknowledgement = ack-nhfb, articleno = "42", } @Article{Tanikawa:2012:BSS, author = "A. Tanikawa and K. Yoshikawa and T. Okamoto and K. Nitadori", title = "{$N$}-body simulation for self-gravitating collisional systems with a new {SIMD} instruction set extension to the x86 architecture, {Advanced Vector eXtensions}", journal = j-NEW-ASTRON, volume = "17", number = "??", pages = "82--92", month = feb, year = "2012", CODEN = "NEASFS", ISSN = "1384-1076 (print), 1384-1092 (electronic)", ISSN-L = "1384-1076", bibdate = "Sat Nov 24 07:28:08 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://arxiv.org/abs/1104.2700", acknowledgement = ack-nhfb, fjournal = "New Astronomy", journal-URL = "http://www.sciencedirect.com/science/journal/13841076", } @Article{Tanikawa:2012:PGN, author = "A. Tanikawa and K. Yoshikawa and K. Nitadori and T. Okamoto", title = "{Phantom-GRAPE}: numerical software library to accelerate collisionless {$N$}-body simulation with {SIMD} instruction set on x86 architecture", journal = "arxiv.org", pages = "1--19", month = mar, year = "2012", bibdate = "Sat Nov 24 07:29:35 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", URL = "http://arxiv.org/abs/1203.4037; http://www.sciencedirect.com/science/journal/13841076", acknowledgement = ack-nhfb, remark = "Accepted for publication in New Astronomy.", } @Article{Winkel:2012:MPM, author = "Mathias Winkel and Robert Speck and Helge H{\"u}bner and Lukas Arnold and Rolf Krause and Paul Gibbon", title = "A massively parallel, multi-disciplinary {Barnes--Hut} tree code for extreme-scale {$N$}-body simulations", journal = j-COMP-PHYS-COMM, volume = "183", number = "4", pages = "880--889", month = apr, year = "2012", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2011.12.013", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 10:11:02 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465511004012", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @InProceedings{Yokota:2012:SFM, author = "Rio Yokota and Lorena Barba and Tetsu Narumi and Kenji Yasuoka", editor = "????", booktitle = "{ATIP '12: Proceedings of the ATIP\slash A*CRC Workshop on Accelerator Technologies for High-Performance Computing: Does Asia Lead the Way?}", title = "Scaling fast multipole methods up to 4000 {GPUs}", publisher = pub-ACM, address = pub-ACM:adr, pages = "204--209", year = "2012", ISBN = "1-4503-1644-1", ISBN-13 = "978-1-4503-1644-6", LCCN = "????", bibdate = "Wed Nov 14 10:57:15 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, } @Article{Yokota:2012:TSF, author = "Rio Yokota and Lorena A. Barba", title = "A tuned and scalable fast multipole method as a preeminent algorithm for exascale systems", journal = j-IJHPCA, volume = "26", number = "4", pages = "337--346", month = nov, year = "2012", CODEN = "IHPCFL", DOI = "https://doi.org/10.1177/1094342011429952", ISSN = "1094-3420 (print), 1741-2846 (electronic)", ISSN-L = "1094-3420", bibdate = "Thu Nov 8 11:31:16 MST 2012", bibsource = "http://hpc.sagepub.com/content/26/4.toc; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ijsa.bib", URL = "http://hpc.sagepub.com/content/26/4/337.full.pdf+html", acknowledgement = ack-nhfb, fjournal = "International Journal of High Performance Computing Applications", journal-URL = "http://hpc.sagepub.com/content/by/year", onlinedate = "January 24, 2012", } @Article{Cecka:2013:FBF, author = "Cris Cecka and Eric Darve", title = "{Fourier}-Based {Fast Multipole Method} for the {Helmholtz} Equation", journal = j-SIAM-J-SCI-COMP, volume = "35", number = "1", pages = "A79--A103", month = "????", year = "2013", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/11085774X", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Fri Jul 19 07:43:38 MDT 2013", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/35/1; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2013", } @Article{Chen:2013:APM, author = "G. Chen and L. Chac{\'o}n", title = "An analytical particle mover for the charge- and energy-conserving, nonlinearly implicit, electrostatic particle-in-cell algorithm", journal = j-J-COMPUT-PHYS, volume = "247", number = "??", pages = "79--87", day = "15", month = aug, year = "2013", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jul 1 19:25:59 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999113002507", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @Article{Darbas:2013:CAP, author = "M. Darbas and E. Darrigrand and Y. Lafranche", title = "Combining analytic preconditioner and {Fast Multipole Method} for the {$3$-D} {Helmholtz} equation", journal = j-J-COMPUT-PHYS, volume = "236", number = "??", pages = "289--316", day = "1", month = mar, year = "2013", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2012.10.059", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Wed Feb 13 18:11:04 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999112006948", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @Article{Ergul:2013:FAA, author = "Ozgur Ergul and Levent Gurel", title = "Fast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithm", journal = j-J-OPT-SOC-AM-A, volume = "30", number = "3", pages = "509--517", day = "1", month = mar, year = "2013", CODEN = "JOAOD6", DOI = "https://doi.org/10.1364/JOSAA.30.000509", ISSN = "1520-8532", ISSN-L = "1084-7529", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Optical Society of America. A, Optics, image science, and vision", journal-URL = "https://www.osapublishing.org/josaa/", report-number = "Ergul, Ozgur/E-7698-2013", } @Article{Fortin:2013:ADD, author = "Pierre Fortin and Jean-Luc Lamotte", title = "An (almost) direct deployment of the {Fast Multipole Method} on the {Cell} processor", journal = j-J-SUPERCOMPUTING, volume = "65", number = "3", pages = "1205--1222", month = sep, year = "2013", CODEN = "JOSUED", DOI = "https://doi.org/10.1007/s11227-013-0877-z", ISSN = "0920-8542 (print), 1573-0484 (electronic)", ISSN-L = "0920-8542", bibdate = "Sat Feb 8 10:21:44 MST 2014", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0920-8542&volume=65&issue=3; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jsuper.bib", URL = "http://link.springer.com/article/10.1007/s11227-013-0877-z", acknowledgement = ack-nhfb, fjournal = "The Journal of Supercomputing", journal-URL = "http://link.springer.com/journal/11227", } @Article{Goude:2013:AFM, author = "Anders Goude and Stefan Engblom", title = "Adaptive fast multipole methods on the {GPU}", journal = j-J-SUPERCOMPUTING, volume = "63", number = "3", pages = "897--918", month = mar, year = "2013", CODEN = "JOSUED", DOI = "https://doi.org/10.1007/s11227-012-0836-0", ISSN = "0920-8542 (print), 1573-0484 (electronic)", ISSN-L = "0920-8542", bibdate = "Mon Apr 1 14:50:47 MDT 2013", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0920-8542&volume=63&issue=3; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jsuper.bib", URL = "http://link.springer.com/article/10.1007/s11227-012-0836-0; http://link.springer.com/content/pdf/10.1007/s11227-012-0836-0", acknowledgement = ack-nhfb, fjournal = "The Journal of Supercomputing", journal-URL = "http://link.springer.com/journal/11227", } @Article{Gumerov:2013:FMA, author = "Nail A. Gumerov and Ross Adelman and Ramani Duraiswami", title = "Fast multipole accelerated indirect boundary elements for the {Helmholtz} equation", journal = j-J-ACOUST-SOC-AM, volume = "133", number = "5", pages = "3490--3490", month = may, year = "2013", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.4806179", ISSN = "1520-8524", ISSN-L = "0001-4966", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", } @Article{Liang:2013:FMM, author = "Zhi Liang and Zydrunas Gimbutas and Leslie Greengard and Jingfang Huang and Shidong Jiang", title = "A fast multipole method for the {Rotne--Prager--Yamakawa} tensor and its applications", journal = j-J-COMPUT-PHYS, volume = "234", number = "??", pages = "133--139", day = "1", month = feb, year = "2013", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2012.09.021", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Wed Nov 28 05:38:07 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999112005529", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", } @Article{Lu:2013:AAF, author = "Benzhuo Lu and Xiaolin Cheng and Jingfang Huang and J. Andrew McCammon", title = "{AFMPB}: an adaptive fast multipole {Poisson--Boltzmann} solver for calculating electrostatics in biomolecular systems", journal = j-COMP-PHYS-COMM, volume = "184", number = "11", pages = "2618--2619", month = nov, year = "2013", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Tue Sep 3 06:12:32 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465513001720", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Yang:2013:CRP, author = "Minglin Yang and Kuan Fang Ren and Mingjiang Gou and Xinqing Sheng", title = "Computation of radiation pressure force on arbitrary shaped homogeneous particles by multilevel fast multipole algorithm", journal = j-OPT-LET, volume = "38", number = "11", pages = "1784--1786", day = "1", month = jun, year = "2013", CODEN = "OPLEDP", DOI = "https://doi.org/10.1364/OL.38.001784", ISSN = "1539-4794", ISSN-L = "0146-9592", bibdate = "Fri Jun 7 09:02:52 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", acknowledgement = ack-nhfb, fjournal = "Optics Letters", journal-URL = "http://www.opticsinfobase.org/ol/", } @Article{Yokota:2013:PTS, author = "Rio Yokota and L. A. Barba and Tetsu Narumi and Kenji Yasuoka", title = "Petascale turbulence simulation using a highly parallel fast multipole method on {GPUs}", journal = j-COMP-PHYS-COMM, volume = "184", number = "3", pages = "445--455", month = mar, year = "2013", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2012.09.011", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Fri Jan 18 09:10:13 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465512002974", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Article{Benson:2014:PDF, author = "Austin R. Benson and Jack Poulson and Kenneth Tran and Bj{\"o}rn Engquist and Lexing Ying", title = "A Parallel Directional Fast Multipole Method", journal = j-SIAM-J-SCI-COMP, volume = "36", number = "4", pages = "C335--C352", month = "????", year = "2014", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/130945569", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Sat Sep 13 12:24:07 MDT 2014", bibsource = "http://epubs.siam.org/toc/sjoce3/36/4; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2014", } @Article{Chaillat:2014:NFM, author = "St{\'e}phanie Chaillat and Marc Bonnet", title = "A new {Fast Multipole} formulation for the elastodynamic half-space {Green's} tensor", journal = j-J-COMPUT-PHYS, volume = "258", number = "??", pages = "787--808", day = "1", month = feb, year = "2014", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Dec 23 10:39:12 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999113007602", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Chen:2014:FST, author = "Jie Chen and Lei Wang and Mihai Anitescu", title = "A Fast Summation Tree Code for {Mat{\'e}rn} Kernel", journal = j-SIAM-J-SCI-COMP, volume = "36", number = "1", pages = "A289--A309", month = "????", year = "2014", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/120903002", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Fri Mar 7 10:32:51 MST 2014", bibsource = "http://epubs.siam.org/toc/sjoce3/36/1; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2014", } @Article{Holm:2014:DAA, author = "Marcus Holm and Stefan Engblom and Anders Goude and Sverker Holmgren", title = "Dynamic Autotuning of Adaptive Fast Multipole Methods on Hybrid Multicore {CPU} and {GPU} Systems", journal = j-SIAM-J-SCI-COMP, volume = "36", number = "4", pages = "C376--C399", month = "????", year = "2014", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/130943595", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Sat Sep 13 12:24:07 MDT 2014", bibsource = "http://epubs.siam.org/toc/sjoce3/36/4; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2014", } @Article{Letourneau:2014:CFM, author = "Pierre-David L{\'e}tourneau and Cris Cecka and Eric Darve", title = "{Cauchy} Fast Multipole Method for General Analytic Kernels", journal = j-SIAM-J-SCI-COMP, volume = "36", number = "2", pages = "A396--A426", month = "????", year = "2014", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/120891617", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Mon Mar 31 07:59:28 MDT 2014", bibsource = "http://epubs.siam.org/toc/sjoce3/36/2; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2014", } @Article{Liska:2014:PFM, author = "Sebastian Liska and Tim Colonius", title = "A parallel fast multipole method for elliptic difference equations", journal = j-J-COMPUT-PHYS, volume = "278", number = "??", pages = "76--91", day = "1", month = dec, year = "2014", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Tue Sep 23 17:27:17 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999114005415", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Ltaief:2014:DDE, author = "Hatem Ltaief and Rio Yokota", title = "Data-driven execution of fast multipole methods", journal = j-CCPE, volume = "26", number = "11", pages = "1935--1946", day = "10", month = aug, year = "2014", CODEN = "CCPEBO", DOI = "https://doi.org/10.1002/cpe.3132", ISSN = "1532-0626 (print), 1532-0634 (electronic)", ISSN-L = "1532-0626", bibdate = "Tue Sep 9 16:46:32 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ccpe.bib", acknowledgement = ack-nhfb, fjournal = "Concurrency and Computation: Practice and Experience", journal-URL = "http://www.interscience.wiley.com/jpages/1532-0626", onlinedate = "17 Sep 2013", } @Article{Milthorpe:2014:PFI, author = "Josh Milthorpe and Alistair P. Rendell and Thomas Huber", title = "{PGAS-FMM}: {Implementing} a distributed fast multipole method using the {X10} programming language", journal = j-CCPE, volume = "26", number = "3", pages = "712--727", day = "10", month = mar, year = "2014", CODEN = "CCPEBO", DOI = "https://doi.org/10.1002/cpe.3039", ISSN = "1532-0626 (print), 1532-0634 (electronic)", ISSN-L = "1532-0626", bibdate = "Thu Feb 27 14:51:21 MST 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ccpe.bib", acknowledgement = ack-nhfb, fjournal = "Concurrency and Computation: Practice and Experience", journal-URL = "http://www.interscience.wiley.com/jpages/1532-0626", onlinedate = "17 May 2013", } @Article{Ohno:2014:PMD, author = "Yousuke Ohno and Rio Yokota and Hiroshi Koyama and Gentaro Morimoto and Aki Hasegawa and Gen Masumoto and Noriaki Okimoto and Yoshinori Hirano and Huda Ibeid and Tetsu Narumi and Makoto Taiji", title = "Petascale molecular dynamics simulation using the fast multipole method on {K} computer", journal = j-COMP-PHYS-COMM, volume = "185", number = "10", pages = "2575--2585", month = oct, year = "2014", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Aug 16 08:37:41 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465514002082", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655/", } @Article{Osei-Kuffuor:2014:SAL, author = "Daniel Osei-Kuffuor and Jean-Luc Fattebert", title = "A Scalable {$ O(N) $} Algorithm for Large-Scale Parallel First-Principles Molecular Dynamics Simulations", journal = j-SIAM-J-SCI-COMP, volume = "36", number = "4", pages = "C353--C375", month = "????", year = "2014", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/140956476", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Sat Sep 13 12:24:07 MDT 2014", bibsource = "http://epubs.siam.org/toc/sjoce3/36/4; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", onlinedate = "January 2014", } @Article{Poursina:2014:IFM, author = "Mohammad Poursina and Kurt S. Anderson", title = "An improved fast multipole method for electrostatic potential calculations in a class of coarse-grained molecular simulations", journal = j-J-COMPUT-PHYS, volume = "270", number = "??", pages = "613--633", day = "1", month = aug, year = "2014", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Wed May 21 19:12:15 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999114002885", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Sun:2014:FMR, author = "Timothy Sun and Papoj Thamjaroenporn and Changxi Zheng", title = "Fast multipole representation of diffusion curves and points", journal = j-TOG, volume = "33", number = "4", pages = "53:1--53:??", month = jul, year = "2014", CODEN = "ATGRDF", DOI = "https://doi.org/10.1145/2601097.2601187", ISSN = "0730-0301 (print), 1557-7368 (electronic)", ISSN-L = "0730-0301", bibdate = "Fri Aug 8 11:18:28 MDT 2014", bibsource = "http://www.acm.org/pubs/contents/journals/tog/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/tog.bib", abstract = "We propose a new algorithm for random-access evaluation of diffusion curve images (DCIs) using the fast multipole method. Unlike all previous methods, our algorithm achieves real-time performance for rasterization and texture-mapping DCIs of up to millions of curves. After precomputation, computing the color at a single pixel takes nearly constant time. We also incorporate Gaussian radial basis functions into our fast multipole representation using the fast Gauss transform. The fast multipole representation is not only a data structure for fast color evaluation, but also a framework for vector graphics analogues of bitmap editing operations. We exhibit this capability by devising new tools for fast diffusion curve Poisson cloning and composition with masks.", acknowledgement = ack-nhfb, articleno = "53", fjournal = "ACM Transactions on Graphics", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778", } @Article{Takahashi:2014:IBF, author = "Toru Takahashi", title = "An interpolation-based fast-multipole accelerated boundary integral equation method for the three-dimensional wave equation", journal = j-J-COMPUT-PHYS, volume = "258", number = "??", pages = "809--832", day = "1", month = feb, year = "2014", CODEN = "JCTPAH", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Dec 23 10:39:12 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999113007584", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Totoo:2014:PHI, author = "Prabhat Totoo and Hans-Wolfgang Loidl", title = "{Parallel Haskell} implementations of the {$N$}-body problem", journal = j-CCPE, volume = "26", number = "4", pages = "987--1019", day = "25", month = mar, year = "2014", CODEN = "CCPEBO", DOI = "https://doi.org/10.1002/cpe.3087", ISSN = "1532-0626 (print), 1532-0634 (electronic)", ISSN-L = "1532-0626", bibdate = "Thu Feb 27 14:51:23 MST 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/ccpe.bib", acknowledgement = ack-nhfb, fjournal = "Concurrency and Computation: Practice and Experience", journal-URL = "http://www.interscience.wiley.com/jpages/1532-0626", onlinedate = "11 Jul 2013", } @Article{Watanabe:2014:GAH, author = "Tsuyoshi Watanabe and Naohito Nakasato", title = "{GPU} Accelerated Hybrid Tree Algorithm for Collision Less {$N$}-body Simulations", journal = j-COMP-ARCH-NEWS, volume = "42", number = "4", pages = "15--20", year = "2014", CODEN = "CANED2", DOI = "https://doi.org/10.1145/2693714.2693718", ISSN = "0163-5964 (print), 1943-5851 (electronic)", ISSN-L = "0163-5964", bibdate = "Wed Dec 3 16:18:50 MST 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/sigarch.bib", abstract = "We propose a hybrid tree algorithm for reducing calculation and communication cost of collision-less N-body simulations. The concept of our algorithm is that we split interaction force into two parts: hard-force from neighbor particles and soft-force from distant particles, and applying different time integration for the forces. For hard-force calculation, we can efficiently reduce the calculation and communication cost of the parallel tree code because we only need data of neighbor particles for this part. We implement the algorithm on GPU clusters to accelerate force calculation for both hard and soft force. As the result of implementing the algorithm on GPU clusters, we were able to reduce the communication cost and the total execution time to 40\% and 80\% of that of a normal tree algorithm, respectively. In addition, the reduction factor relative the normal tree algorithm is smaller for large number of processes, and we expect that the execution time can be ultimately reduced down to about 70\% of the normal tree algorithm.", acknowledgement = ack-nhfb, fjournal = "ACM SIGARCH Computer Architecture News", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J89", remark = "HEART '14 conference proceedings.", } @Article{Yokota:2014:CCF, author = "Rio Yokota and George Turkiyyah and David Keyes", title = "Communication Complexity of the {Fast Multipole Method} and its Algebraic Variants", journal = j-SUPERFRI, volume = "1", number = "1", pages = "63--84", month = "????", year = "2014", CODEN = "????", ISSN = "2409-6008 (print), 2313-8734 (electronic)", bibdate = "Sat Nov 11 07:15:27 MST 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/superfri.bib", URL = "http://superfri.org/superfri/article/view/22", acknowledgement = ack-nhfb, fjournal = "Supercomputing Frontiers and Innovations", journal-URL = "http://superfri.org/superfri/issue/archive", } @Article{Zhang:2014:PFS, author = "Xinxin Zhang and Robert Bridson", title = "A {PPPM} fast summation method for fluids and beyond", journal = j-TOG, volume = "33", number = "6", pages = "206:1--206:??", month = nov, year = "2014", CODEN = "ATGRDF", DOI = "https://doi.org/10.1145/2661229.2661261", ISSN = "0730-0301 (print), 1557-7368 (electronic)", ISSN-L = "0730-0301", bibdate = "Fri Nov 14 19:16:26 MST 2014", bibsource = "http://www.acm.org/pubs/contents/journals/tog/; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/tog.bib", abstract = "Solving the $N$-body problem, i.e. the Poisson problem with point sources, is a common task in graphics and simulation. The naive direct summation of the kernel function over all particles scales quadratically, rendering it too slow for large problems, while the optimal Fast Multipole Method has drastic implementation complexity and can sometimes carry too high an overhead to be practical. We present a new Particle-Particle Particle-Mesh (PPPM) algorithm which is fast, accurate, and easy to implement even in parallel on a GPU. We capture long-range interactions with a fast multigrid solver on a background grid with a novel boundary condition, while short-range interactions are calculated directly with a new error compensation to avoid error from the background grid. We demonstrate the power of PPPM with a new vortex particle smoke solver, which features a vortex segment-approach to the stretching term, potential flow to enforce no-stick solid boundaries on arbitrary moving solid boundaries, and a new mechanism for vortex shedding from boundary layers. Comparison against a simpler Vortex-in-Cell approach shows PPPM can produce significantly more detailed results with less computation. In addition, we use our PPPM solver for a Poisson surface reconstruction problem to show its potential as a general-purpose Poisson solver.", acknowledgement = ack-nhfb, articleno = "206", fjournal = "ACM Transactions on Graphics", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778", } @InProceedings{Beckmann:2015:PNL, author = "Andreas Beckmann and Ivo Kabadshow", title = "Portable Node-Level Performance Optimization for the Fast Multipole Method", crossref = "Mehl:2015:RTC", volume = "105", pages = "29--46", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-22997-3_2", bibdate = "Sat Dec 12 10:22:10 MST 2015", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/lncse.bib", URL = "http://link.springer.com/chapter/10.1007/978-3-319-22997-3_2/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/978-3-319-22997-3", book-URL = "http://www.springerlink.com/content/978-3-319-22997-3", } @Article{Chaillat:2015:WFM, author = "St{\'e}phanie Chaillat and Francis Collino", title = "A wideband Fast Multipole Method for the {Helmholtz} kernel: Theoretical developments", journal = j-COMPUT-MATH-APPL, volume = "70", number = "4", pages = "660--678", month = aug, year = "2015", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:51:47 MST 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/computmathappl2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122115002424", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.c