Minisymposium at the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 25-28, 2010, Dresden, Germany
AIMS 2010, Dresden, Germany


We are welcome you to our minisymposiums related to splitting group.
Title: Decomposition Methods for Partial Differential Equations: Novel Theory and Applications

Organizers: Juergen Geiser, geiser@mathematik.hu-berlin.de, Qin Sheng, Qin_Sheng@baylor.edu

Abstract. In recent years, splitting, or decomposition, methods have become increasingly important for solving nonlinear and even singular partial differential equations. In this special session we will discuss the latest goals and results of the powerful numerical methods. Higher accuracy, efficiency and effectiveness will be among our topics in discussions. Iterative and non-iterative strategies associate with different adaptations will be incorporated. Novel decomposition schemes in time and space will be investigated and presented. Practical applications will be studied. Aims of this special session also include to bring together researchers in the aforementioned field, to highlight the current developments both in theory and methods, to exchange latest research ideas, and to promote further collaborations in the community. We wish to call papers for this special session which present the latest trends and literature to: (1) decomposition for higher efficiency and accuracy (2) decomposition for non-linear differential equations and dynamical systems (3) stability and convergence of decomposition algorithms (4) noniterative, iterative and adaptive decomposition methods (5) decomposition methods in parallel and quantum computations (6) apriori and aposterioir error-estimates in decompositions

See our official web-page: Minisymposium, AIMS 2010, Dresden, Germany


Contributers to our minisymposium :



1.) Juergen E Geiser, HU Berlin, Germany, (Successive approximation for solving time-dependent problems), [geiser_dresden.pdf]

2.) Yuri A Melnikov, Middle Tennessee State University, USA, (Recent progress in the construction of Green's functions for the static Klein-Gordon equation)

3.) Gamze Tanouglu, IYTE Campus, Urla, Izmir, Turkey, (Higher Order Operator-Splitting Methods via Zassenhaus product formula: Theory and Applications), [AIMS_gamze.pdf]

4.) Meraa Arab, HU Berlin, Germany, (Multiphase Models solved by Operator Splitting Methods.)

5.) Nurcan Gucuyenen, IYTE Campus, Urla, Izmir, Turkey, (Iterative operator splitting method for the capillary formation model in tumor angiogenesis problem : Application and Analysis), [Nurcan_Dresden.pdf]

6.) Stefan Guettel, Universite de Geneve, (Krylov-enhanced parallel integrators for linear problems), [guettel.pdf]

7.) Aron Roland, Technical University of Darmstadt, Germany, (Perspectives for the numerical Solution of the Wave Action Equation on unstructured meshes)

8.) Stephane Descombes, Universite de Nice Sophia Antipolis, (Analysis of parareal operator splitting techniques for multi-scale reaction waves)

9.) Fernando Casas, Universitat Jaume I, (Processed splitting methods in path integral Monte Carlo simulations), [casas_dresden.pdf]

e-mail :

Dr. Juergen Geiser : geiser@mathematik.hu-berlin.de