The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
Abstract
Construction des conditions aux limites absorbantes pour l'equation des ondes multidimensionnelle a l'aide d'approximations aux differences. Formulation sous forme canonique des conditions aux limites absorbantes analytiques
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
Whitham, G. B., & Fowler, R. G. (1975) · Physics Today · doi:10.1063/1.3069011 · Cited by 8,179
Absorbing boundary conditions for the numerical simulation of waves
Engquist, B., & Majda, A. (1977) · Mathematics of Computation · doi:10.1090/s0025-5718-1977-0436612-4 · Cited by 2,403
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
Initial boundary value problems for hyperbolic systems
Kreiss, H. (1970) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160230304 · Cited by 795
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
Stability theory of difference approximations for mixed initial boundary value problems. II
Gustafsson, B., Kreiss, H.-O., & Sundström, A. (1972) · Mathematics of Computation · doi:10.1090/s0025-5718-1972-0341888-3 · Cited by 526
Numerical absorbing boundary conditions for the wave equation
Higdon, R. L. (1987) · Mathematics of Computation · doi:10.1090/s0025-5718-1987-0890254-1 · Cited by 524
Self-citationWell-posedness of one-way wave equations and absorbing boundary conditions
Trefethen, L. N., & Halpern, L. (1986) · Mathematics of Computation · doi:10.1090/s0025-5718-1986-0856695-2 · Cited by 220
Wagatha, L. (1983) · Numerische Mathematik · doi:10.1007/bf01400917 · Cited by 27
Cited by
Non-reflecting boundary conditions
Givoli, D. (1991) · Journal of Computational Physics · doi:10.1016/0021-9991(91)90135-8 · Cited by 709
Álvarez, R., & Alves, L. L. (2007) · Journal of Applied Physics · doi:10.1063/1.2732508 · Cited by 21
Metadata
- Authors
- Higdon, R. L.
- Venue
- Mathematics of Computation
- Publisher
- JSTOR
- Published
- 1986-10
- Volume
- 47
- Issue
- 176
- Pages
- 437
- ISSN
- 0025-5718 (ISSN-L)
- OpenAlex
- W2009120193
- Cited by
- 593
- References
- 9
- FWCI
- 5.84
- 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: Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation. https://app.cochat.ai/papers/10.2307/2008166
- The paper
- Higdon, R. L. (1986). Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation. Mathematics of Computation. https://doi.org/10.2307/2008166
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.
