Trapezoidal and midpoint splittings for initial-boundary value problems

Abstract

In this paper we consider various multi-component splittings based on the trapezoidal rule and the implicit midpoint rule. It will be shown that an important requirement on such methods is internal stability. The methods will be applied to initial-boundary value problems. Along with a theoretical analysis, some numerical test results will be presented. 
DOI: 10.1090/S0025-5718-98-00984-3

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