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Semilinear parabolic partial differential equations - theory, approximation, and application

Stig Larsson (Institutionen för matematiska vetenskaper, matematik)
New Trends in the Mathematical and Computer Sciences (G. O. S. Ekhaguere, C. K. Ayo, and M. B. Olorunsaiye, eds.), Proceedings of an international workshop at Covenant University, Ota, Nigeria, June 18-23, 2006, Publications of the ICMCS, vol. 3, 2006 p. 153-194. (2006)
[Kapitel]

We present an abstract framework for semilinear parabolic problems based on analytic semigroup theory. The same framework is used for numerical discretization based on the finite element method. We prove local existence of solutions and local error estimates. These are applied in the context of dynamical systems. The framework is also used to analyze the finite element method for a stochastic parabolic equation.



Denna post skapades 2007-12-05. Senast ändrad 2014-09-02.
CPL Pubid: 62501

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Numerisk analys

Chalmers infrastruktur