Special Session 47
Time Decomposition Methods for Differential Equations: Theory and Application
Organizer(s):
Jurgen Geiser
Qin Sheng
Introduction:
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\\ We wish to discuss further developments in this fascinate field and exchange new ideas and promote collaborations.

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