Dimension splitting for time dependent operators

Summary, in English

In this paper we are concerned with the convergence analysis of splitting methods for nonautonomous abstract evolution equations. We introduce a framework that allows us to analyze the popular Lie, Peaceman-Rachford and Strang splittings for time dependent operators. Our framework is in particular suited for analyzing dimension splittings. The influence of

boundary conditions is discussed.

• Författare: Eskil Hansen; Alexander Ostermann
• Avdelning/ar: Matematik LTH; Partial differential equations; Numerical Analysis
• Publiceringsår: 2009
• Språk: Engelska
• Sidor: 322-332
• Publikation/Tidskrift/Serie: Discrete and Continuous Dynamical Systems. Series A
• Volym: 2009 suppl.
• Länkar: http://aimsciences.org/journals/pdfs.jsp?paperID=4622&mode=full
• Dokumenttyp: Artikel i tidskrift
• Förlag: American Institute of Mathematical Sciences
• Ämne: Mathematics
• Nyckelord: convergence; variable time steps; dimension splitting; Nonautonomous linear problems; Lie splitting; exponential splitting; stability; Peaceman-Rachford splitting
• Status: Published
• Forskningsgrupp: Partial differential equations; Numerical Analysis
• ISBN/ISSN/Övrigt: ISSN: 1553-5231