The optimal explicit unconditionally stable box scheme

• Autorzy: Krzysztof Moszyński
• Języki publikacji: EN

Abstrakty

EN

The finite difference “box” scheme, (see also [1],[2]), is considered on the simplest possible model of single first order linear hyperbolic equation: ut+mux=0 with constant, coefficient m, and one space variable. The optimal version of the scheme, which is nonoscilating and unconditionally stable with respect to the initial and boundary conditions, is derived in the class of box schemes of the order at, least one. If apropriately iterated, this ścinane may be applied to general systems of quasilinear first order hyperbolic equations in one space variable, as an explicit, unconditionally stable solver. For more than one space variable this solver is applicable via splitting (see [3]).

PL

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Słowa kluczowe

EN

Finite difference methods; Stability and convergence of numerical methods

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1997
• Tom: 26
• Numer: 40

Daty

wydano

1997

online

2016-10-28

Twórcy

autor

Krzysztof Moszyński

Identyfikatory

DOI

10.14708/ma.v26i40.1857