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

Saul S. Abarbanel, Earll M. Murman

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)160-167
Number of pages8
JournalJournal of Computational Physics
Volume48
Issue number2
DOIs
StatePublished - Nov 1982
Externally publishedYes

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.

FundersFunder number
National Aeronautics and Space AdministrationNCC l-45, NASl-14101, NASl-15810
Air Force Office of Scientific Research
Langley Research Center23665, NGT 22-009
U.S. Air ForceAFOSR-80-0249
National Academy of Medicine

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