Professor Qin (Tim) Sheng
 
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The 7th AIMS International Conference on Dynamical Systems and Differential Equations, May 18-21, 2008

University of Texas at Arlington, Arlington, Texas, USA

18-21 May 2008

 

Important Minisymposiums to Attend:

Minisymposium on
Adaptive and Iterative Decomposition Methods for Differential Equations: Stability, Error Analysis and Applications
Organizers: Juergen Geiser, geiser@mathematik.hu-berlin.de, Qin Sheng, Qin_Sheng@baylor.edu

Abstract. In the past years, many new computational strategies, such as the decomposition methods, have become an important role for solving time-dependent partial differential equations. Goals of the numerical methods include to achieve high accuracy, efficiency and effectiveness in solving various kinds of differential equation problems in applications. Adaptive, iterative and higher order schemes are frequently incorporated. Different decomposition algorithms in time and space are designed.
The aims of this special session are to bring together researchers in the fields, to highlight the recent developments both in theory and practice, to exchange novel ideas, and to promote further collaborations.
We wish to call papers for this special session that will present the latest trends and research results including, but not limited to:

(1) novel higher order difference methods and analysis
(2) splitting and decomposition for higher efficiency and accuracy
(3) splitting for non-linear differential equations and dynamical systems
(4) stability and convergence of splitting methods
(5) iterative and adaptive splitting methods
(6) splitting methods in parallel and quantum computations
(7) apriori and aposterioir error-estimates
(8) iterative methods and matrix analysis

We would like to welcome all potential speakers to our special session in Arlington! Let us discuss further developments in the fields and promote idea exchanges and research collaborations in the cutting-edge study!

Arlington is within the Greater Dallas Area in Texas, USA. It takes about 1.75 hours from Dallas to drive to Baylor University. Dallas is also close to other major Texas cities including Houston, Austin and San Antonio. This huge city has been expanding rapidly, and is well-known for its advanced scientific research, high tech and financial industries, shopping, entertainment and sightseeing. Dallas-Fort Worth International Airport (DFW) is one of the largest in the world. For detailed local information, please visit the URL of Dallas Tourist Information Center.

 

Confirmed Invited Speakers

1.  Dimensional splitting methods for exotic pricing
    Paul Clifford, Mathematics Institute, University of Warick, United Kingdom

2.  Modified Jacobian Newton iterative method with embedded domain decomposition method
    Juergen Geiser, Department of Mathematics, Humboldt-Universität zu Berlin, Germany

3.  TBA
    Shekhar Guha, AFRL, USA

4.  Dimension splitting for quasilinear parabolic equations
    Eskil Hansen, Institut für Mathematik, Universität Innsbruck, Austria

5.  Positive solutions of singular initial value problems for integro-differential equations
    Curtis Kunkel, Department of Mathematics and Statistics, University of Tennessee at Martin, Tennessee, USA

6.  Integrate matrix differential Riccati equations whose solutions may have singularities
    Ren-cang Li, Department of Mathematics, University of Texas at Arlington, Texas, USA

7.  Orthogonal H-type and C-type grid generations for 2-D twin deck bridges
    Xiaobing Liu, Chaoqun Liu and Zhengqing Chen, Department of Mathematics, University of Texas at Arlington, Texas, USA

8.  Green's functions for Laplace equation and some new infinite product representations of elementary functions
    Yuri Melnikov, Department of Mathematical Sciences, Middle Tennessee State University, Tennessee, USA

9.  A posteriori error estimation and HP-adaptivity for fourth-order equations
    Peter Moore, Department of Mathematics, Southern Methodist University, Texas, USA

10.  Deflated Krylov methods for large systems of linear equations
    Ron Morgan, Department of Mathematics, Baylor University, Texas, USA

11.  Restarting the Lanczos algorithm for large eigenvalue problems and linear equations
    Dywayne Nicely, Department of Mathematics, Baylor University, Texas, USA

12.  On the superiority of the WCS method for scalar conservation law as truncation errors, dissipation and dispersion are concerned
    Maria Oliveira, Hua Wei, Jianzhong Su, Chaoqun Liu, Department of Mathematics, University of Texas at Arlington, Texas, USA

13.  Splitting methods for nonautonomous evolution equations
    Alexander Ostermann, Institut für Mathematik, Universität Innsbruck, Austria

14.  A matrix analysis for the z-stretching finite difference methods for interface problems
    James Rogers, Department of Mathematics, Baylor University, Texas, USA

15.  Modified split shooting procedures for solving optical wave quenching-collapsing problems
    Qin Sheng, CASPER & Department of Mathematics, Baylor University, Texas, USA

16.  The left-definite spectral analysis of the fourth-order Legendre type differential equations
    Davut Tuncer, Department of Mathematics, Baylor University, Texas, USA

 

 

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