2006-01-01Buch DOI: 10.18452/2739
Iterative Operator-Splitting Methods with higher order Time-Integration Methods and Applications for Parabolic Partial Differential Equations
In this paper we design higher order time integrators for systems of stiff ordinary differential equations. We could combine implicit Runge-Kutta- and BDF-methods with iterative operator-splitting methods to obtain higher order methods. The motivation of decoupling each complicate operator in simpler operators with an adapted time-scale allow us to solve more efficiently our problems. We compare our new methods with the higher order Fractional-Stepping Runge-Kutta methods, developed for stiff ordinary differential equations. The benefit will be the individual handling of each operators with adapted standard higher order time-integrators. The methods are applied to convection-diffusion-reaction equations and we could obtain higher order results. Finally we discuss the iterative operator-splitting methods for the applications to multi-physical problems.
Files in this item
No license information
Show related Items with similar Title, Author, Creator or Subject.
2011-09-27BuchSplitting Method of Convection-Diffusion Methods with Disentanglement methods Disentanglement MethodsGeiser, Jürgen; Elbiomy, MahmoudIn this paper, we discuss higher-order operator-splitting methods done by disentanglement methods. The idea is based on computing best fitted exponents to an exponential splitting scheme with more than two operators. We ...
1988-01-01ZeitschriftenartikelA General Regression Procedure for Method Transformation. Application of Linear Regression Procedures for Method Comparison Studies in Clinical Chemistry, Part III Bablok, W.; Passing, H.; Bender, R.; Schneider, B.
1989-01-01ZeitschriftenartikelA Candidate Reference Method for the Determination of Uric Acid in Serum Based on High Performance Liquid Chromatography, Compared with an Isotope Dilution-Gas Chromatography-Mass Spectrometer Method Kock, R.; Delvoux, B.; Tillmanns, U.; Greiling, H.