The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
High-order local non-reflecting boundary conditions: a review
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
A perfectly matched layer for the absorption of electromagnetic waves
Berenger, J.-P. (1994) · Journal of Computational Physics · doi:10.1006/jcph.1994.1159 · Cited by 10,145
Radiation boundary conditions for wave‐like equations
Bayliss, A., & Turkel, E. (1980) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160330603 · Cited by 1,026
Radiation boundary conditions for acoustic and elastic wave calculations
Engquist, B., & Majda, A. (1979) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160320303 · Cited by 746
Non-reflecting boundary conditions
Givoli, D. (1991) · Journal of Computational Physics · doi:10.1016/0021-9991(91)90135-8 · Cited by 709
Self-citationExact non-reflecting boundary conditions
Keller, J. B., & Givoli, D. (1989) · Journal of Computational Physics · doi:10.1016/0021-9991(89)90041-7 · Cited by 645
Self-citationNumerical solution of problems on unbounded domains. A review
Tsynkov, S. V. (1998) · Applied Numerical Mathematics · doi:10.1016/s0168-9274(98)00025-7 · Cited by 599
Radiation boundary conditions for the numerical simulation of waves
Hagstrom, T. (1999) · Acta Numerica · doi:10.1017/s0962492900002890 · Cited by 389
High-order non-reflecting boundary scheme for time-dependent waves
Givoli, D., & Neta, B. (2003) · Journal of Computational Physics · doi:10.1016/s0021-9991(03)00005-6 · Cited by 229
Self-citationNon-reflecting boundary conditions for elastic waves
Givoli, D., & Keller, J. B. (1990) · Wave Motion · doi:10.1016/0165-2125(90)90043-4 · Cited by 206
Self-citationA formulation of asymptotic and exact boundary conditions using local operators
Hagstrom, T., & Hariharan, S. I. (1998) · Applied Numerical Mathematics · doi:10.1016/s0168-9274(98)00022-1 · Cited by 177
Metadata
- Authors
- Givoli, D.
- Venue
- Wave Motion
- Publisher
- Elsevier BV
- Published
- 2004-04
- Volume
- 39
- Issue
- 4
- Pages
- 319-326
- ISSN
- 0165-2125 (ISSN-L)
- OpenAlex
- W2011572440
- Cited by
- 473
- References
- 27
- FWCI
- 14.77
- Type
- journal article
- Language
- en
- Open access
- closed
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: High-order local non-reflecting boundary conditions: a review. https://app.cochat.ai/papers/10.1016/j.wavemoti.2003.12.004
- The paper
- Givoli, D. (2004). High-order local non-reflecting boundary conditions: a review. Wave Motion. https://doi.org/10.1016/j.wavemoti.2003.12.004
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.
