The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Comments on P3M, FMM, and the Ewald method for large periodic Coulombic systems
Open accessAbstract
Prompted by the need to simulate large molecular or gravitational systems and the availability of multiprocessor computers, alternatives to the standard Ewald calculation of Coulombic interactions have been developed. The two most popular alternatives, the fast multipole method (FMM) and the particle-particle particle-mesh (P3M) method are compared here to the Ewald method for a single processor machine. Parallel processor implementations of the P3M and Ewald methods are compared. The P3M method is found to be both faster than the FMM and easier to implement efficiently as it relies on commonly available software (FFT subroutines). Both the Ewald and P3M method are easily implemented on parallel architectures with the P3M method the clear choice for large systems.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
(2020) · Electromagnetic Processes · doi:10.2307/j.ctv131bv37.5 · Cited by 21,966
Die Berechnung optischer und elektrostatischer Gitterpotentiale
Ewald, P. P. (1921) · Annalen der Physik · doi:10.1002/andp.19213690304 · Cited by 6,013
Computer Simulation Using Particles
Hockney, R. W., & Eastwood, J. W. (1988) · Institute of Physics eBooks · doi:10.1887/0852743920 · Cited by 5,441
Rapid solution of integral equations of classical potential theory
Rokhlin, V (1985) · Journal of Computational Physics · doi:10.1016/0021-9991(85)90002-6 · Cited by 1,414
Accuracy and efficiency of the particle mesh Ewald method
Petersen, H. G. (1995) · The Journal of Chemical Physics · doi:10.1063/1.470043 · Cited by 774
Phillips, M. (1962) · Encyclopedia of Physics / Handbuch der Physik · doi:10.1007/978-3-642-45973-3_1 · Cited by 546
Luty, B. A., Davis, M. E., Tironi, I. G., & Van Gunsteren, W. F. (1994) · Molecular Simulation · doi:10.1080/08927029408022004 · Cited by 230
The Electrostatic Interaction of Two Arbitrary Charge Distributions
Rose, M. E. (1958) · Studies in Applied Mathematics · doi:10.1002/sapm1958371215 · Cited by 150
Molecular-dynamics simulations of Coulombic systems on distributed-memory MIMD machines
Kalia, R. K., de Leeuw, S. W., Nakano, A., & Vashishta, P. D. (1993) · Computer Physics Communications · doi:10.1016/0010-4655(93)90015-5 · Cited by 70
Cited by
Thompson, A. P., Aktulga, H. M., Berger, R., Bolintineanu, D. S., Brown, W. M., Crozier, P. S., in 't Veld, P. J., Kohlmeyer, A., Moore, S. G., Nguyen, T. D., et al. (2022) · Computer Physics Communications · doi:10.1016/j.cpc.2021.108171 · Cited by 12,598
The Amber biomolecular simulation programs
Case, D. A., Cheatham, T. E., Darden, T., Gohlke, H., Luo, R., Merz, K. M., Onufriev, A., Simmerling, C., Wang, B., & Woods, R. J. (2005) · Journal of Computational Chemistry · doi:10.1002/jcc.20290 · Cited by 9,535
Martyna, G. J., & Tuckerman, M. E. (1999) · The Journal of Chemical Physics · doi:10.1063/1.477923 · Cited by 687
Darden, T., Perera, L., Li, L., & Pedersen, L. (1999) · Structure · doi:10.1016/s0969-2126(99)80033-1 · Cited by 676
Real-space mesh techniques in density-functional theory
Beck, T. L. (2000) · Reviews of Modern Physics · doi:10.1103/revmodphys.72.1041 · Cited by 473
Metadata
- Authors
- Pollock, E. L., & Glosli, J.
- Venue
- Computer Physics Communications
- Publisher
- Elsevier BV
- Published
- 1996-06
- Volume
- 95
- Issue
- 2-3
- Pages
- 93-110
- ISSN
- 0010-4655 (ISSN-L)
- OpenAlex
- W1963495301
- Cited by
- 422
- References
- 9
- FWCI
- 4.56
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Comments on P3M, FMM, and the Ewald method for large periodic Coulombic systems. https://app.cochat.ai/papers/10.1016/0010-4655(96)00043-4
- The paper
- Pollock, E. L., & Glosli, J. (1996). Comments on P3M, FMM, and the Ewald method for large periodic Coulombic systems. Computer Physics Communications. https://doi.org/10.1016/0010-4655(96)00043-4
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.