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Henderson and Sheng to edit special issue on PDE's

July 3, 2008

It has been evident that many important mathematical modeling equations at the quantum level are accomplished through combinations of physical models from discrete-atomistic to continuum-macroscopic responses. On the other hand, new theories and methods, including the time scales theory, provide powerful tools for the analysis of the combined modeling systems and computational applications. Novel finite difference and hybrid schemes have been developed for solving the complex equations established via highly flexible approximation strategies. The aim of this special issue is to highlight the new developments in the area. It will contain articles presenting the latest trends and research results in topics including, but not limited to:

hybrid and dynamic mathematical modeling and approximations

hybrid and novel difference approaches for solving nonlinear differential or integro-differential equations

stability and convergence analysis of the multi-level or hybrid schemes

iterative or adaptive methods in multi-scale engineering computations

numerical strategies in multi-level or parallel computations for differential equations with applications

Research papers are solicited for this special issue. Each submitted paper should be between 10 and 20 pages under the NPSC style, and will be refereed according to NPSC policies; see the following URL for details:


Submit a PDF or PS version of the complete paper to either of the Guest Editors:

Professor Qin Sheng or Professor Johnny Henderson, Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA

Email: or

Deadline for submission of full papers: January 31, 2008.

Notifcation of acceptance: April 30, 2008.

Expected publication: Summer, 2008.