Trapezoidal and midpoint splittings for initial-boundary value problems

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.

• Type: Journal
• Year: 1998
• Where: MOC
• Authors: Willem Hundsdorfer
• Keywords: Implicit Midpoint Rule, MOC 1998, Trapezoidal Rule, Various Multi-component Splittings