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Stability theory of difference approximations for mixed initial boundary value problems. II
Open accessAbstract
A stability theory is developed for general difference approximations to mixed initial boundary value problems. The results are applied to certain commonly used difference approximations which are stable for the Cauchy problem, and different ways of defining boundary conditions are analyzed.
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Cited by
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Shu, C.-W. (1998) · Lecture Notes in Mathematics · doi:10.1007/bfb0096355 · Cited by 1,919
Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
Higdon, R. L. (1986) · Mathematics of Computation · doi:10.2307/2008166 · Cited by 593
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Colonius, T., & Lele, S. K. (2004) · Progress in Aerospace Sciences · doi:10.1016/j.paerosci.2004.09.001 · Cited by 549
Metadata
- Authors
- Gustafsson, B., Kreiss, H.-O., & Sundström, A.
- Venue
- Mathematics of Computation
- Publisher
- American Mathematical Society (AMS)
- Published
- 1972
- Volume
- 26
- Issue
- 119
- Pages
- 649-686
- ISSN
- 0025-5718 (ISSN-L)
- 1088-6842
- OpenAlex
- W2069627726
- Cited by
- 526
- References
- 0
- FWCI
- 4.54
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Stability theory of difference approximations for mixed initial boundary value problems. II. https://app.cochat.ai/papers/10.1090/s0025-5718-1972-0341888-3
- The paper
- Gustafsson, B., Kreiss, H.-O., & Sundström, A. (1972). Stability theory of difference approximations for mixed initial boundary value problems. II. Mathematics of Computation. https://doi.org/10.1090/s0025-5718-1972-0341888-3
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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.
