Discretizations of nonlinear dissipative evolution equations. Order and convergence.
Författare
Summary, in English
For A-stable multistep methods and algebraically stable Runge-Kutta methods the very same global error bounds are obtained in this infinite dimensional setting as derived for stiff ODEs. Error bounds are also presented for full discretizations based on spatial Galerkin approximations.
In contrast to earlier studies, our analysis is not relying on linearization procedures, but on the fully nonlinear framework of logarithmic Lipschitz constants and a generalization of the classical B-convergence theory.
Avdelning/ar
- Matematik LTH
- Numerical Analysis
Publiceringsår
2005
Språk
Engelska
Dokumenttyp
Doktorsavhandling
Förlag
Numerical Analysis, Lund University
Ämne
- Mathematics
Nyckelord
- kontroll
- systems
- numerisk analys
- control
- Datalogi
- numerical analysis
- Computer science
- B-convergence
- Dissipative maps
- Logarithmic Lipschitz constants
- Galerkin methods
- Nonlinear evolution equations
- Time discretizations
- system
Status
Published
Forskningsgrupp
- Numerical Analysis
Handledare
ISBN/ISSN/Övrigt
- ISBN: 91-628-6668-0
- ISRN: LUTFNA-1001-2005
Försvarsdatum
9 december 2005
Försvarstid
13:15
Försvarsplats
Room MH:C, Centre for Mathematical Sciences, Sölvegatan 18, Lund Institute of Technology
Opponent
- Alexander Ostermann (Professor)