Stability analysis of difference schemes by catastrophe theory methods
نویسندگان
چکیده
منابع مشابه
On Stability, Monotonicity, and Construction of Difference Schemes I: Theory
In this paper, we focus on the application and illustration of the approach developed in part I. This approach is found to be useful in the construction of stable and monotone central difference schemes for hyperbolic systems. A new modification of the central Lax–Friedrichs scheme is developed to be of second-order accuracy. The stability of several versions of the developed central scheme is ...
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are given, u1 and u11 are defined according to the partition of A, i.e. u1 = (wU), • • -, um)', ulL = (w<!+1), • • -, uM)', and *S is a given constant rectangular matrix. It is well known that the above problem is correctly posed in L2 (see for example Thomée [4]). The present treatment of the case when A is a constant matrix can be extended, as in [1], to the case when A depends on (x, t) in a...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1992
ISSN: 0377-0427
DOI: 10.1016/0377-0427(92)90050-8