Numerical integration of systems arising from the method of lines

Einar Mageroy


This report surveys the method of lines as a method for solving partial differential equations. This method involves discretising of all independent variables except one, and integration of the resulting system of ordinary differential equations in the remaining variable. An introduction to space discretisation is given, and different Runge--Kutta methods and linear multi step methods are considered with emphasis on their linear stability properties.


Math Review Classification

Last Updated
April 1997

61 pages

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