ISSN:
1572-9125
Keywords:
65L20
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Under the assumption that an implicit Runge-Kutta method satisfies a certain stability estimate for linear systems with constant coefficientsl 2-stability for nonlinear systems is proved. This assumption is weaker than algebraic stability since it is satisfied for many methods which are not evenA-stable. Some local smoothness in the right hand side of the differential equation is needed, but it may have a Jacobian and higher derivatives with large norms. The result is applied to a system derived from a strongly nonlinear parabolic equation by the “method of lines”.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01954908
Permalink