FDA Express    Vol. 6, No. 5, Mar. 15, 2013

Editors: http://em.hhu.edu.cn/fda/Editors.htm

Institute of Soft Matter Mechanics, Hohai University
For contribution: fdaexpress@163.com, hushuaihhu@gmail.com
For subscription: http://em.hhu.edu.cn/fda/subscription.htm

◆  Conferences

International Symposium on Fractional PDEs: Theory, Numerics and Applications

◆  Books

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

◆  Journals

Journal of Computational Physics

Fractional Differentiation and its Applications - 6th Workshop on Fractional Differentiation and Its Applications

◆  Paper Highlight
Fractional calculus in hydrologic modeling: A numerical perspective
A fractal Richards' equation to capture the non-Boltzmann scaling of water transport in unsaturated media

Evidence of one-dimensional scale-dependent fractional advection-dispersion

◆  Websites of Interest

Fractional Calculus & Applied Analysis, Volume 16, No 1, 2013

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Conferences

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International Symposium on Fractional PDEs: Theory, Numerics and Applications

June 3 - 5, 2013, Salve Regina University, 100 Ochre Point Avenue, Newport RI 02840

Conference Objectives
Fractional Partial Differential Equations (FPDEs) are emerging as a new powerful tool for modeling the most difficult type of complex systems, i.e., systems with overlapping microscopic and macroscopic scales or systems with long-range time memory and long-range spatial interactions. They offer a new way of accessing the mesoscale using the continuum formulation and hence extending the continuum description for multiscale modeling of viscoelastic materials, control of autonomous vehicles, transitional and turbulent flows, wave propagation in porous media, electric transmission lines, and speech signals. The aim of this first workshop in the USA on FPDEs is to cover theory, algorithms and applications. Recent activity on FPDEs has taken place mostly in China and to a lesser degree in Europe; hence we have invited our overseas colleagues to share with US researchers the new advances in the methodology and applications of FPDEs. We also expect many young US postdocs to attend the workshop, hence introducing the new generation of simulation scientists to these emerging computational methods.

Organizing Committee
George Em Karniadakis and Jan Hesthaven, Brown University, Organizers
Ernest Rothman, Salve Regina University, Local Organizer
Ms. Madeline Brewster, Madeline_Brewster@Brown.edu, 401. 863.1414, Contact

Scientific Commitee
Wen Chen Hohai University, China
Kai Diethelm University of Chester, United Kingdom
Fawang Liu Queensland University of Technology, Australia
Francesco Mainardi University of Bologna, Italy
Mark Meerschaaert Michigan State University, USA
Igor Podlubny Technical University of Kosice, Slovak Republic
Zhizhong Sun Southeast University, China
Bruce West Duke University, USA

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Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations

Edited by: Changpin Li, Yujiang Wu, Ruisong Ye

Book Description
Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation.
Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations will be introduced and discussed.
In the infinite dimensional dynamics part, we emphasize on numerical calculation and theoretical analysis, including constructing various numerical methods and computing the corresponding limit sets, etc.
In the last part, we show interest in network dynamics and fractal dynamics together with numerical simulations as well as their applications.
Contents:
• Gronwall Inequalities (Fanhai Zeng, Jianxiong Cao and Changpin Li)
• Existence and Uniqueness of the Solutions to the Fractional Differential Equations (Yutian Ma, Fengrong Zhang and Changpin Li)
• Finite Element Methods for Fractional Differential Equations (Changpin Li and Fanhai Zeng)
• Fractional Step Method for the Nonlinear Conservation Laws with Fractional Dissipation (Can Li and Weihua Deng)
• Error Analysis of Spectral Method for the Space and Time Fractional Fokker–Planck Equation (Tinggang Zhao and Haiyan Xuan)
• A Discontinuous Finite Element Method for a Type of Fractional Cauchy Problem (Yunying Zheng)
• Asymptotic Analysis of a Singularly Perturbed Parabolic Problem in a General Smooth Domain (Yu-Jiang Wu, Na Zhang and Lun-Ji Song)
• Incremental Unknowns Methods for the ADI and ADSI Schemes (Ai-Li Yang, Yu-Jiang Wu and Zhong-Hua Yang)
• Stability of a Collocated FV Scheme for the 3D Navier–Stokes Equations (Xu Li and Shu-qin Wang)
• Computing the Multiple Positive Solutions to p–Henon Equation on the Unit Square (Zhaoxiang Li and Zhonghua Yang)
• Multilevel WBIUs Methods for Reaction–Diffusion Equations (Yang Wang, Yu-Jiang Wu and Ai-Li Yang)
• Models and Dynamics of Deterministically Growing Networks (Weigang Sun, Jingyuan Zhang and Guanrong Chen)
• On Different Approaches to Synchronization of Spatiotemporal Chaos in Complex Networks (Yuan Chai and Li-Qun Chen)
• Chaotic Dynamical Systems on Fractals and Their Applications to Image Encryption (Ruisong Ye, Yuru Zou and Jian Lu)
• Planar Crystallographic Symmetric Tiling Patterns Generated From Invariant Maps (Ruisong Ye, Haiying Zhao and Yuanlin Ma)
• Complex Dynamics in a Simple Two-Dimensional Discrete System (Huiqing Huang and Ruisong Ye)
• Approximate Periodic Solutions of Damped Harmonic Oscillators with Delayed Feedback (Qian Guo)
• The Numerical Methods in Option Pricing Problem (Xiong Bo)
• Synchronization and Its Control Between Two Coupled Networks (Yongqing Wu and Minghai Lü)

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