Implicit schemes for differential equations

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Abstract

Implicit high-order accurate temporal-integration schemes are developed to reduce partial differential equations of evolution type to a sequence of ordinary differential equations involving the spatial directions only. The ordinary differential equations are solved using various accurate integration methods. The schemes are free from extraneous boundary and/or initial conditions and are stable for large Courant number.

Original languageEnglish
Pages (from-to)443-468
Number of pages26
JournalJournal of Computational Physics
Volume45
Issue number3
DOIs
StatePublished - Mar 1982

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