Stability of two-dimensional hyperbolic initial boundary value problems for explicit and implicit schemes

Saul S. Abarbanel; Earll M. Murman

doi:10.1016/0021-9991(82)90044-4

Stability of two-dimensional hyperbolic initial boundary value problems for explicit and implicit schemes

Saul S. Abarbanel
, Earll M. Murman

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Stable and unstable boundary conditions for various explicit and implicit schemes for the linear two-dimensional wave equations are discussed. A modal analysis is used to analyze stability.

Original language	English
Pages (from-to)	160-167
Number of pages	8
Journal	Journal of Computational Physics
Volume	48
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(82)90044-4
State	Published - Nov 1982
Externally published	Yes

Bibliographical note

Funding Information:
* This work was partially supported by the Air Force Office of Scientific Research (NAM), United States Air Force under Grant AFOSR-80-0249, and by NASA Cooperative Agreement NCC l-45, while the senior author was visiting MIT; partially by NASA Contracts NASl-15810 and NASl-14101 at ICASE, NASA Langley Research Center, Hampton, Va. 23665; and by NASA Grant NGT 22-009. 901.

Funding

* This work was partially supported by the Air Force Office of Scientific Research (NAM), United States Air Force under Grant AFOSR-80-0249, and by NASA Cooperative Agreement NCC l-45, while the senior author was visiting MIT; partially by NASA Contracts NASl-15810 and NASl-14101 at ICASE, NASA Langley Research Center, Hampton, Va. 23665; and by NASA Grant NGT 22-009. 901.

Funders	Funder number
National Aeronautics and Space Administration	NCC l-45, NASl-14101, NASl-15810
Air Force Office of Scientific Research
Langley Research Center	23665, NGT 22-009
U.S. Air Force	AFOSR-80-0249
National Academy of Medicine

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10.1016/0021-9991(82)90044-4

Cite this

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title = "Stability of two-dimensional hyperbolic initial boundary value problems for explicit and implicit schemes",

abstract = "Stable and unstable boundary conditions for various explicit and implicit schemes for the linear two-dimensional wave equations are discussed. A modal analysis is used to analyze stability.",

author = "Abarbanel, \{Saul S.\} and Murman, \{Earll M.\}",

note = "Funding Information: * This work was partially supported by the Air Force Office of Scientific Research (NAM), United States Air Force under Grant AFOSR-80-0249, and by NASA Cooperative Agreement NCC l-45, while the senior author was visiting MIT; partially by NASA Contracts NASl-15810 and NASl-14101 at ICASE, NASA Langley Research Center, Hampton, Va. 23665; and by NASA Grant NGT 22-009. 901.",

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doi = "10.1016/0021-9991(82)90044-4",

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AU - Abarbanel, Saul S.

AU - Murman, Earll M.

N1 - Funding Information: * This work was partially supported by the Air Force Office of Scientific Research (NAM), United States Air Force under Grant AFOSR-80-0249, and by NASA Cooperative Agreement NCC l-45, while the senior author was visiting MIT; partially by NASA Contracts NASl-15810 and NASl-14101 at ICASE, NASA Langley Research Center, Hampton, Va. 23665; and by NASA Grant NGT 22-009. 901.

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Stability of two-dimensional hyperbolic initial boundary value problems for explicit and implicit schemes

Abstract

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